4th grade math packet directions - pendleton.k12.or.us · seven hundred twenty-one thousand nine...
TRANSCRIPT
4th Grade Math Packet Directions
Week 2 April 20th - April 24th
If you have internet access follow these If you do ~OT have internet access and directions are using the 4th Grade Weekly Math
Packet follow thes~ directions
1 Daily Spiral Review provided by your teacher
2 Complete Blue Box Lesson 25 on i-Readycom
3 Continue onto your Green Box Lessons on i-Readycom until you have at least 45 minutes
1 Daily Practice Multiplication Facts from the Math Packet (whisper to self)
2 Daily Spiral Review 3 Complete Lesson 25 Ready
Instruction and Practice pages
bull bull
lx0=0 1 X 1 = 1
2x0=0 2xl=2
3x0=0 3xl=3
4x0=0 4x1=4
bull
4x2=8 3x2=6 2x2=4 lx2=2 4x3= 12 3x3=9 2x3=6 lx3=3 E
0 4x4=16 3x4=l2 2x4=8 lx4=4 u 4 X 5 =20 3x5=15 2x5=10 l x5=5 a C 4 X 6 = 24 3x6= 18 2x6=12 lx6=6 0 C) 4 x7 = 28 3 X 7 = 21 2x7=14 lx7=7 C
c 4 X 8 = 32 3x8 = 24
i u 2x8=16 lx8 = 8 0
4 x9 = 36 3 X 9 = 27 2x9=18 l x9 = 9 4 X 10 = 40 3 X 10 = 30 2 X 10 = 20 lxlO=lO 4 X 11 = 44 3 X 11 = 33 2 X 11 = 22 lxll=ll 4 X 12 = 48 3 X 12 = 36 2x 12 = 24 lx12=12 8x0=0 7x0=0 6x0 = 0 5x0=0 8x1=8 7xf=7 6 X 1 = 6 5xl=5 8x2=16 7x2=14 6x2 = 12 5 X 2 = 10
bull 8 x3 = 24 7x3=21 6x3=18 5x3= 15 Bx 4 = 32 7 X 4 = 28 6 X 4 = 24 5 X 4 = 20 8 x5 = 40 7x5=35 6 X 5 = 30 5 X 5 = 25 8 X 6 = 48 7 X 6 = 42 6 X 6 = 36 5 X 6 = 30 8 X 7 = 56 7 X 7 = 49 6 X 7 = 42 5 X 7 = 35 8 X 8 = 64 7 X 8 = 56 6 X 8 = 48 5 X 8 = 40 8 X 9 = 72 7 X 9 = 63 6 X 9 = 54 5 X 9 = 45
8 X 10 = 80 7 X 10 = 70 6 X 10 = 60 5 X 10 = 50 8 X 11 = 88 7 X 11 = 77 6 X 11 = 66 5 X 11 = 55 8 X 12 = 96 7 X 12 = 84 6 X 12 = 72 5 X 12 = 60 12xO=O 11 x0=0 lOxO=O 9x0=0 12xl=l2 llxl=ll 10xl=l0 9x1=9 12 X 2 = 24 11 X 2 = 22 l Ox 2 = 20 9x2=18 bull l 2x 3 = 36 11 X 3 = 33 l Ox 3 = 30 9 X 3 = 27 12 X 4 = 48 11 X 4 = 44 10 X 4 = 40 9 X 4 = 36 12 X 5 = 60 11 X 5 = 55 10 X 5 = 50 9 X 5 = 45 12 X 6 = 72 11 X 6 = 66 l OX 6 = 60 9 X 6 = 54 12x 7 = 84 11 X 7 = 77 10 X 7 = 70 9 X 7 = 63 12 X 8 96 11 X 8 = 88 l Ox 8 = 80 9 X 8 = 72
12 X 9 = 108 11 X 9 = 99 10 X 9 = 90 9x9=81 12 X 10 = 120 llxl0=ll0 l OX 10 = 100 9 X 10 = 90 12 X 11 = 132 llxll=l21 lOxll=llO 9 X 11 = 99 12 X 12 = 144 bull 11 X 12 = 132 l Ox 12 = 120 9 X 12 = 108 bull
bull bull
bull bull bull
1 + l = l 2+1 =2 3+1=3 4+1 =4 5+1=5 6--1=6 7+1=7 8+1 =8 9+1=9
10+1=10 11 + 1 = 11 12+1=12
5+5=1 10+5=2 15 + 5 = 3 20 + 5 = 4 25 + 5 = 5 30 + 5 = 6 35 + 5 = 7 40 + 5 = 8 45 + 5 = 9
50 + 5 = 10 55 + 5 = 11 60 + 5 = 12
9+9=1 18+9=2 27+9=3 36 + 9 = 4 45 + 9 = 5 54 + 9 = 6 63 + 9 = 7 72 + 9 = 8 81 + 9 = 9
90 + 9 = l 0 99 + 9 = 11 108 + 9 = 12
diviSion bull +dcfs-
2+ 2 = l 4+2=2 6+2=3 8+2=4 10+2-==5 12+2=6 14+2=7 16+2=8 18--2=9
20 + 2 = 10 22 + 2 = 11 24 + 2 = 12
6+6=1 12+6=2 18+6=3 24 + 6 = 4 30 + 6 = 5 36 + 6 = 6 42 + 6 == 7 48-- 6 = 8 54 + 6 = 9
60 + 6 = 10 66 + 6 = 11 72 + 6 = 12
1 O middot+ l O = l 20 + l O = 2 30 + 10 = 3 40 + 10 = 4 50 + 10 = 5 60 + l O = 6 70 + 10 = 7 80 + l O = 8 90 + 10 = 9
l 00 + l O = l 0 110+10=11 120 + 10 = 12
3+3=1 6+3=2 9+3=3 12+3=4 15+3=5 18+3=6 21 + 3 = 7 24+3 = 8 27 + 3 = 9
30 + 3 = 10 33 + 3 = 11 36 + 3 = 12
7+7=1 14+7=2 21 + 7 = 3 28 + 7 = 4 35 + 7 = 5 42 + 7 = 6 49 + 7 = 7 56 + 7 = 8 63+ 7 = 9
70 + 7 = 10 77 + 7 = l l 84 + 7 = 12
ll+ll=l 22 + 11 = 2 33 + 11 = 3 44 + 11 = 4 55 + 11 = 5 66 + 11 = 6 77 + 11 = 7 88 + 11 = 8 99 + 11 = 9
110+11=10 121+11=11 132 + 11 = 12
bull
4+4=1 8+4=2 12--4=3 16+4=4 20-- 4 = 5 24 + 4 = 6 28 + 4 = 7 32 + 4 = 8 36 -=- 4 = 9
40 + 4 = 10 44 + 4 = 11 48 + 4 = 12
8+8=1 16+8=2 24 + 8 = 3 32 + 8 = 4 40 + 8 = 5 48 + 8 = 6 56 + 8 = 7 64 + 8 = 8 72 + 8 = 9
80 + 8 = 10 88 + 8 = 11 96 + 8 = 12
12+12=1 24 + 12 = 2 36 + 12 = 3 48 + 12 = 4 bull 60 + 12 = 5 72 + 12 = 6 84 + 12 = 7 96 + 12 = 8 l 08 + 12 = 9
120 + 12 = 10 132 + 12 = 11 144 + 12 = 12
bull bull copyJennifer Findley wwwTeachingTolnspirecom
LCN9TH Metric
1 centimeter (cm) = 10 millimeters (mm) 1 meter (m) = 100 centimeters 1 kilometer (km) = 1000 meters
Customarf 1 foot = 12 inches
1 yard = 3 feet 1 mile= 5280 feet 1 mile= 1760 yards
~ LiQUiD YOLUMC ~ Metric
1 liter (L) = 1000 milliliters (ml) 1 kiloliter (kl) = 1000 liters
Customar~ 1 cup = 8 fluid ounces
1 pint = 2 cups 1 quart = 2 pints
1 gallon = 4 quarts
~ MASS I weiSHT Metric Customar1t
1 gram (g) = 1000 milligrams (mg) 1 pound = 16 ounces 1 kilogram (kg) = 1000 grams 1 ton= 2000 pounds
t I bull TiMC 1 minute = 60 seconds 1 hour = 60 minutes
1 day = 24 hours 1 week = 7 days
1 ye_ar = 365 days = 52 weeks (Leap years have 366 days 0
1 decade = 10 years l century = 100 years
1 millennium = 1000 years
QUiCk MeTRiC CON Ve RSiONS
K H Da [ill Di C Mil V V VVV~J
00 0 N
numbers get sm aller because the units are larger nwnbers get larger because the units are smaller DIVIDE (take away zeros) MULTIPLY (add more zeros)
~ Name ___________________ _
The movie theater had 352 people in it If the people split into 8 even groups to watch different movies how many people will watch each movie
Write the number in expanded form
seven hundred twenty-one thousand nine hundred four
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells If he divides his seashells equally between 3 friends how many seashells will each friend get
Determine the 30th shape in the pattern
OOD
543286 + 215740 =
The perimeter of a rectangle is 222 mi 11 i meters If the length of the rectangle is 60 millimeters what is the width of the rectangle
Round 213548 to the nearest hundred thousand
89 X 55 =
Write the equation
During the year Myong travels 5678 miles by airplane He travels twice as many miles by train How many miles does Myong travel by train
700000 + 70000 =
The area of a rectangle is 1035 square centimeters If the length of the rectangle is 3 centimeters what is the width of the rectangle
List the factors of 75
Is this number prime or composite
Jacob and Dustin collected 245 cans for the school can drive They gave 55 cans to Dustins little sister for her class to get credit How many cans does this leave for the boysmiddot class
1002 + 2 =
Write ltgtor= to make the statement true
94306 0 94360
2002 X 4 =
copy Carson-Dellosa bull CD-104593 41
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
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Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
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4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
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Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
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Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
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Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
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Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
bull bull
lx0=0 1 X 1 = 1
2x0=0 2xl=2
3x0=0 3xl=3
4x0=0 4x1=4
bull
4x2=8 3x2=6 2x2=4 lx2=2 4x3= 12 3x3=9 2x3=6 lx3=3 E
0 4x4=16 3x4=l2 2x4=8 lx4=4 u 4 X 5 =20 3x5=15 2x5=10 l x5=5 a C 4 X 6 = 24 3x6= 18 2x6=12 lx6=6 0 C) 4 x7 = 28 3 X 7 = 21 2x7=14 lx7=7 C
c 4 X 8 = 32 3x8 = 24
i u 2x8=16 lx8 = 8 0
4 x9 = 36 3 X 9 = 27 2x9=18 l x9 = 9 4 X 10 = 40 3 X 10 = 30 2 X 10 = 20 lxlO=lO 4 X 11 = 44 3 X 11 = 33 2 X 11 = 22 lxll=ll 4 X 12 = 48 3 X 12 = 36 2x 12 = 24 lx12=12 8x0=0 7x0=0 6x0 = 0 5x0=0 8x1=8 7xf=7 6 X 1 = 6 5xl=5 8x2=16 7x2=14 6x2 = 12 5 X 2 = 10
bull 8 x3 = 24 7x3=21 6x3=18 5x3= 15 Bx 4 = 32 7 X 4 = 28 6 X 4 = 24 5 X 4 = 20 8 x5 = 40 7x5=35 6 X 5 = 30 5 X 5 = 25 8 X 6 = 48 7 X 6 = 42 6 X 6 = 36 5 X 6 = 30 8 X 7 = 56 7 X 7 = 49 6 X 7 = 42 5 X 7 = 35 8 X 8 = 64 7 X 8 = 56 6 X 8 = 48 5 X 8 = 40 8 X 9 = 72 7 X 9 = 63 6 X 9 = 54 5 X 9 = 45
8 X 10 = 80 7 X 10 = 70 6 X 10 = 60 5 X 10 = 50 8 X 11 = 88 7 X 11 = 77 6 X 11 = 66 5 X 11 = 55 8 X 12 = 96 7 X 12 = 84 6 X 12 = 72 5 X 12 = 60 12xO=O 11 x0=0 lOxO=O 9x0=0 12xl=l2 llxl=ll 10xl=l0 9x1=9 12 X 2 = 24 11 X 2 = 22 l Ox 2 = 20 9x2=18 bull l 2x 3 = 36 11 X 3 = 33 l Ox 3 = 30 9 X 3 = 27 12 X 4 = 48 11 X 4 = 44 10 X 4 = 40 9 X 4 = 36 12 X 5 = 60 11 X 5 = 55 10 X 5 = 50 9 X 5 = 45 12 X 6 = 72 11 X 6 = 66 l OX 6 = 60 9 X 6 = 54 12x 7 = 84 11 X 7 = 77 10 X 7 = 70 9 X 7 = 63 12 X 8 96 11 X 8 = 88 l Ox 8 = 80 9 X 8 = 72
12 X 9 = 108 11 X 9 = 99 10 X 9 = 90 9x9=81 12 X 10 = 120 llxl0=ll0 l OX 10 = 100 9 X 10 = 90 12 X 11 = 132 llxll=l21 lOxll=llO 9 X 11 = 99 12 X 12 = 144 bull 11 X 12 = 132 l Ox 12 = 120 9 X 12 = 108 bull
bull bull
bull bull bull
1 + l = l 2+1 =2 3+1=3 4+1 =4 5+1=5 6--1=6 7+1=7 8+1 =8 9+1=9
10+1=10 11 + 1 = 11 12+1=12
5+5=1 10+5=2 15 + 5 = 3 20 + 5 = 4 25 + 5 = 5 30 + 5 = 6 35 + 5 = 7 40 + 5 = 8 45 + 5 = 9
50 + 5 = 10 55 + 5 = 11 60 + 5 = 12
9+9=1 18+9=2 27+9=3 36 + 9 = 4 45 + 9 = 5 54 + 9 = 6 63 + 9 = 7 72 + 9 = 8 81 + 9 = 9
90 + 9 = l 0 99 + 9 = 11 108 + 9 = 12
diviSion bull +dcfs-
2+ 2 = l 4+2=2 6+2=3 8+2=4 10+2-==5 12+2=6 14+2=7 16+2=8 18--2=9
20 + 2 = 10 22 + 2 = 11 24 + 2 = 12
6+6=1 12+6=2 18+6=3 24 + 6 = 4 30 + 6 = 5 36 + 6 = 6 42 + 6 == 7 48-- 6 = 8 54 + 6 = 9
60 + 6 = 10 66 + 6 = 11 72 + 6 = 12
1 O middot+ l O = l 20 + l O = 2 30 + 10 = 3 40 + 10 = 4 50 + 10 = 5 60 + l O = 6 70 + 10 = 7 80 + l O = 8 90 + 10 = 9
l 00 + l O = l 0 110+10=11 120 + 10 = 12
3+3=1 6+3=2 9+3=3 12+3=4 15+3=5 18+3=6 21 + 3 = 7 24+3 = 8 27 + 3 = 9
30 + 3 = 10 33 + 3 = 11 36 + 3 = 12
7+7=1 14+7=2 21 + 7 = 3 28 + 7 = 4 35 + 7 = 5 42 + 7 = 6 49 + 7 = 7 56 + 7 = 8 63+ 7 = 9
70 + 7 = 10 77 + 7 = l l 84 + 7 = 12
ll+ll=l 22 + 11 = 2 33 + 11 = 3 44 + 11 = 4 55 + 11 = 5 66 + 11 = 6 77 + 11 = 7 88 + 11 = 8 99 + 11 = 9
110+11=10 121+11=11 132 + 11 = 12
bull
4+4=1 8+4=2 12--4=3 16+4=4 20-- 4 = 5 24 + 4 = 6 28 + 4 = 7 32 + 4 = 8 36 -=- 4 = 9
40 + 4 = 10 44 + 4 = 11 48 + 4 = 12
8+8=1 16+8=2 24 + 8 = 3 32 + 8 = 4 40 + 8 = 5 48 + 8 = 6 56 + 8 = 7 64 + 8 = 8 72 + 8 = 9
80 + 8 = 10 88 + 8 = 11 96 + 8 = 12
12+12=1 24 + 12 = 2 36 + 12 = 3 48 + 12 = 4 bull 60 + 12 = 5 72 + 12 = 6 84 + 12 = 7 96 + 12 = 8 l 08 + 12 = 9
120 + 12 = 10 132 + 12 = 11 144 + 12 = 12
bull bull copyJennifer Findley wwwTeachingTolnspirecom
LCN9TH Metric
1 centimeter (cm) = 10 millimeters (mm) 1 meter (m) = 100 centimeters 1 kilometer (km) = 1000 meters
Customarf 1 foot = 12 inches
1 yard = 3 feet 1 mile= 5280 feet 1 mile= 1760 yards
~ LiQUiD YOLUMC ~ Metric
1 liter (L) = 1000 milliliters (ml) 1 kiloliter (kl) = 1000 liters
Customar~ 1 cup = 8 fluid ounces
1 pint = 2 cups 1 quart = 2 pints
1 gallon = 4 quarts
~ MASS I weiSHT Metric Customar1t
1 gram (g) = 1000 milligrams (mg) 1 pound = 16 ounces 1 kilogram (kg) = 1000 grams 1 ton= 2000 pounds
t I bull TiMC 1 minute = 60 seconds 1 hour = 60 minutes
1 day = 24 hours 1 week = 7 days
1 ye_ar = 365 days = 52 weeks (Leap years have 366 days 0
1 decade = 10 years l century = 100 years
1 millennium = 1000 years
QUiCk MeTRiC CON Ve RSiONS
K H Da [ill Di C Mil V V VVV~J
00 0 N
numbers get sm aller because the units are larger nwnbers get larger because the units are smaller DIVIDE (take away zeros) MULTIPLY (add more zeros)
~ Name ___________________ _
The movie theater had 352 people in it If the people split into 8 even groups to watch different movies how many people will watch each movie
Write the number in expanded form
seven hundred twenty-one thousand nine hundred four
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells If he divides his seashells equally between 3 friends how many seashells will each friend get
Determine the 30th shape in the pattern
OOD
543286 + 215740 =
The perimeter of a rectangle is 222 mi 11 i meters If the length of the rectangle is 60 millimeters what is the width of the rectangle
Round 213548 to the nearest hundred thousand
89 X 55 =
Write the equation
During the year Myong travels 5678 miles by airplane He travels twice as many miles by train How many miles does Myong travel by train
700000 + 70000 =
The area of a rectangle is 1035 square centimeters If the length of the rectangle is 3 centimeters what is the width of the rectangle
List the factors of 75
Is this number prime or composite
Jacob and Dustin collected 245 cans for the school can drive They gave 55 cans to Dustins little sister for her class to get credit How many cans does this leave for the boysmiddot class
1002 + 2 =
Write ltgtor= to make the statement true
94306 0 94360
2002 X 4 =
copy Carson-Dellosa bull CD-104593 41
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
bull bull
bull bull bull
1 + l = l 2+1 =2 3+1=3 4+1 =4 5+1=5 6--1=6 7+1=7 8+1 =8 9+1=9
10+1=10 11 + 1 = 11 12+1=12
5+5=1 10+5=2 15 + 5 = 3 20 + 5 = 4 25 + 5 = 5 30 + 5 = 6 35 + 5 = 7 40 + 5 = 8 45 + 5 = 9
50 + 5 = 10 55 + 5 = 11 60 + 5 = 12
9+9=1 18+9=2 27+9=3 36 + 9 = 4 45 + 9 = 5 54 + 9 = 6 63 + 9 = 7 72 + 9 = 8 81 + 9 = 9
90 + 9 = l 0 99 + 9 = 11 108 + 9 = 12
diviSion bull +dcfs-
2+ 2 = l 4+2=2 6+2=3 8+2=4 10+2-==5 12+2=6 14+2=7 16+2=8 18--2=9
20 + 2 = 10 22 + 2 = 11 24 + 2 = 12
6+6=1 12+6=2 18+6=3 24 + 6 = 4 30 + 6 = 5 36 + 6 = 6 42 + 6 == 7 48-- 6 = 8 54 + 6 = 9
60 + 6 = 10 66 + 6 = 11 72 + 6 = 12
1 O middot+ l O = l 20 + l O = 2 30 + 10 = 3 40 + 10 = 4 50 + 10 = 5 60 + l O = 6 70 + 10 = 7 80 + l O = 8 90 + 10 = 9
l 00 + l O = l 0 110+10=11 120 + 10 = 12
3+3=1 6+3=2 9+3=3 12+3=4 15+3=5 18+3=6 21 + 3 = 7 24+3 = 8 27 + 3 = 9
30 + 3 = 10 33 + 3 = 11 36 + 3 = 12
7+7=1 14+7=2 21 + 7 = 3 28 + 7 = 4 35 + 7 = 5 42 + 7 = 6 49 + 7 = 7 56 + 7 = 8 63+ 7 = 9
70 + 7 = 10 77 + 7 = l l 84 + 7 = 12
ll+ll=l 22 + 11 = 2 33 + 11 = 3 44 + 11 = 4 55 + 11 = 5 66 + 11 = 6 77 + 11 = 7 88 + 11 = 8 99 + 11 = 9
110+11=10 121+11=11 132 + 11 = 12
bull
4+4=1 8+4=2 12--4=3 16+4=4 20-- 4 = 5 24 + 4 = 6 28 + 4 = 7 32 + 4 = 8 36 -=- 4 = 9
40 + 4 = 10 44 + 4 = 11 48 + 4 = 12
8+8=1 16+8=2 24 + 8 = 3 32 + 8 = 4 40 + 8 = 5 48 + 8 = 6 56 + 8 = 7 64 + 8 = 8 72 + 8 = 9
80 + 8 = 10 88 + 8 = 11 96 + 8 = 12
12+12=1 24 + 12 = 2 36 + 12 = 3 48 + 12 = 4 bull 60 + 12 = 5 72 + 12 = 6 84 + 12 = 7 96 + 12 = 8 l 08 + 12 = 9
120 + 12 = 10 132 + 12 = 11 144 + 12 = 12
bull bull copyJennifer Findley wwwTeachingTolnspirecom
LCN9TH Metric
1 centimeter (cm) = 10 millimeters (mm) 1 meter (m) = 100 centimeters 1 kilometer (km) = 1000 meters
Customarf 1 foot = 12 inches
1 yard = 3 feet 1 mile= 5280 feet 1 mile= 1760 yards
~ LiQUiD YOLUMC ~ Metric
1 liter (L) = 1000 milliliters (ml) 1 kiloliter (kl) = 1000 liters
Customar~ 1 cup = 8 fluid ounces
1 pint = 2 cups 1 quart = 2 pints
1 gallon = 4 quarts
~ MASS I weiSHT Metric Customar1t
1 gram (g) = 1000 milligrams (mg) 1 pound = 16 ounces 1 kilogram (kg) = 1000 grams 1 ton= 2000 pounds
t I bull TiMC 1 minute = 60 seconds 1 hour = 60 minutes
1 day = 24 hours 1 week = 7 days
1 ye_ar = 365 days = 52 weeks (Leap years have 366 days 0
1 decade = 10 years l century = 100 years
1 millennium = 1000 years
QUiCk MeTRiC CON Ve RSiONS
K H Da [ill Di C Mil V V VVV~J
00 0 N
numbers get sm aller because the units are larger nwnbers get larger because the units are smaller DIVIDE (take away zeros) MULTIPLY (add more zeros)
~ Name ___________________ _
The movie theater had 352 people in it If the people split into 8 even groups to watch different movies how many people will watch each movie
Write the number in expanded form
seven hundred twenty-one thousand nine hundred four
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells If he divides his seashells equally between 3 friends how many seashells will each friend get
Determine the 30th shape in the pattern
OOD
543286 + 215740 =
The perimeter of a rectangle is 222 mi 11 i meters If the length of the rectangle is 60 millimeters what is the width of the rectangle
Round 213548 to the nearest hundred thousand
89 X 55 =
Write the equation
During the year Myong travels 5678 miles by airplane He travels twice as many miles by train How many miles does Myong travel by train
700000 + 70000 =
The area of a rectangle is 1035 square centimeters If the length of the rectangle is 3 centimeters what is the width of the rectangle
List the factors of 75
Is this number prime or composite
Jacob and Dustin collected 245 cans for the school can drive They gave 55 cans to Dustins little sister for her class to get credit How many cans does this leave for the boysmiddot class
1002 + 2 =
Write ltgtor= to make the statement true
94306 0 94360
2002 X 4 =
copy Carson-Dellosa bull CD-104593 41
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
LCN9TH Metric
1 centimeter (cm) = 10 millimeters (mm) 1 meter (m) = 100 centimeters 1 kilometer (km) = 1000 meters
Customarf 1 foot = 12 inches
1 yard = 3 feet 1 mile= 5280 feet 1 mile= 1760 yards
~ LiQUiD YOLUMC ~ Metric
1 liter (L) = 1000 milliliters (ml) 1 kiloliter (kl) = 1000 liters
Customar~ 1 cup = 8 fluid ounces
1 pint = 2 cups 1 quart = 2 pints
1 gallon = 4 quarts
~ MASS I weiSHT Metric Customar1t
1 gram (g) = 1000 milligrams (mg) 1 pound = 16 ounces 1 kilogram (kg) = 1000 grams 1 ton= 2000 pounds
t I bull TiMC 1 minute = 60 seconds 1 hour = 60 minutes
1 day = 24 hours 1 week = 7 days
1 ye_ar = 365 days = 52 weeks (Leap years have 366 days 0
1 decade = 10 years l century = 100 years
1 millennium = 1000 years
QUiCk MeTRiC CON Ve RSiONS
K H Da [ill Di C Mil V V VVV~J
00 0 N
numbers get sm aller because the units are larger nwnbers get larger because the units are smaller DIVIDE (take away zeros) MULTIPLY (add more zeros)
~ Name ___________________ _
The movie theater had 352 people in it If the people split into 8 even groups to watch different movies how many people will watch each movie
Write the number in expanded form
seven hundred twenty-one thousand nine hundred four
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells If he divides his seashells equally between 3 friends how many seashells will each friend get
Determine the 30th shape in the pattern
OOD
543286 + 215740 =
The perimeter of a rectangle is 222 mi 11 i meters If the length of the rectangle is 60 millimeters what is the width of the rectangle
Round 213548 to the nearest hundred thousand
89 X 55 =
Write the equation
During the year Myong travels 5678 miles by airplane He travels twice as many miles by train How many miles does Myong travel by train
700000 + 70000 =
The area of a rectangle is 1035 square centimeters If the length of the rectangle is 3 centimeters what is the width of the rectangle
List the factors of 75
Is this number prime or composite
Jacob and Dustin collected 245 cans for the school can drive They gave 55 cans to Dustins little sister for her class to get credit How many cans does this leave for the boysmiddot class
1002 + 2 =
Write ltgtor= to make the statement true
94306 0 94360
2002 X 4 =
copy Carson-Dellosa bull CD-104593 41
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
~ Name ___________________ _
The movie theater had 352 people in it If the people split into 8 even groups to watch different movies how many people will watch each movie
Write the number in expanded form
seven hundred twenty-one thousand nine hundred four
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells If he divides his seashells equally between 3 friends how many seashells will each friend get
Determine the 30th shape in the pattern
OOD
543286 + 215740 =
The perimeter of a rectangle is 222 mi 11 i meters If the length of the rectangle is 60 millimeters what is the width of the rectangle
Round 213548 to the nearest hundred thousand
89 X 55 =
Write the equation
During the year Myong travels 5678 miles by airplane He travels twice as many miles by train How many miles does Myong travel by train
700000 + 70000 =
The area of a rectangle is 1035 square centimeters If the length of the rectangle is 3 centimeters what is the width of the rectangle
List the factors of 75
Is this number prime or composite
Jacob and Dustin collected 245 cans for the school can drive They gave 55 cans to Dustins little sister for her class to get credit How many cans does this leave for the boysmiddot class
1002 + 2 =
Write ltgtor= to make the statement true
94306 0 94360
2002 X 4 =
copy Carson-Dellosa bull CD-104593 41
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
--- ----- -- -- --middot -----~ Week Assersn10n Name -------------- -- --- -------------------- ---- - - middot-
1 4012-- 2 = 2 The area of a rectangle is 6384 square yards If the width of the rectangle is 7 yards what is the length of the rectangle
3 The movie theater donated 648 tickets to 9 schools If the movie theater donated the same number of tickets to each school how many tickets did each school receive
4 35 X 96 =
5 49320 + 36249 =
6 Round 743214 to the nearest ten thousand
7 A blue whale traveled 495 feet the first time it was sighted The second time it was sighted the blue whale had traveled 6 times as far as the first time How far did the blue whale travel altogether
8 6567 X 3 =
9 The perimeter of a rectangle is 154 middot feet The length of the rectangle is 55 feet What Is the width of the rectangle
10 Write the equation
Mrs Chung has 33 students in her fourth-grade class Her students are making collages on Friday so she brings in 5 magazines for each student How many magazines does Mrs Chung bring to class
42 CD-104593 bull copy Carson-Dellosa
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
V
Week ______ _ Name ----------------- ---i_
96 X 22 = Write the number word as a number
eight hundred twenty thousand five hundred fifteen
Write the equation The area of
Jack saw 4 times as many footballs as soccer balls in the store Jack saw 234 soccer balls How many footballs did Jack see
a rectangle is 228 square feet If the length of the rectangle is 12 feet what is the width of the rectangle
624193 + 353126 = 728 + 8 =
Liza works 7 hours a day 7 days a week How many hours does Liza work in 6 weeks
50 + 5 =
2123 X 4 =
Write ltgtor= to make the statement true
62381 0 62831
224 + 5 =
Start at 12 Create a pattern that multiplies each number by 4 Stop when you have 5 numbers
Round 247596 to the nearest thousand
The perimeter of a rectangle is 62 feet If the width of the rectangle is 19 feet what is the length of the redangle
954328 - 864597 =
The reptile house at the zoo has 245 reptiles Each habitat holds 5 reptiles How many habitats are there
copy Carson-Dellosa bull CD-104593 43
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
-rmiddot
Week Assessment --- --- ---Name -------------------
1 Rileys class takes a field trip to a museum Riley sees 116 exhibits total Each room has 4 exhibits in it How many rooms does Riley go through
2 768 + 4 =
3 Write the number word as a number
forty-three thousand sixteen
4 Noah rides bikes 15 miles a day 5 days a week How many miles does Noah bike in 8 weeks
5 The area of Avas rectangular backyard is 325 square yards If the length of the yard is 13 yards what is the width of the yard
6 Round 329167 to the nearest hundred
7 743245 - 368195 = 8 Write the equation
In winter a sporting goods store sells 5 times as many snowboards as it sells during summer The store sells 132 -snowboards in summer How many snowboards does the store sell in winter
9 87 X 47 = 10 The perimeter of Lolas rectangular backyarp is 76 feet If the width of the yard is 25 feet what is the length of the yard
- -middotmiddot ----- - -----------middotmiddot-------------- ----middot-----middot] 44 middot _ lJOA1 lJOA2 lJOA3 lJNBT2 lJNBT3 lJNBTlJ lJNBT5 lJNBT6 lJMD3 CD-104593 bull copy Carson-Dellosa
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Use with Ready Instruction Lesson 25
Dear Family This week your child is learning to convert units of length liquid volume and mass
Your child is learning different ways to solve multi-step problems converting larger units to smaller units for measurements of length liquid volume and mass Heres a liquid volume problem your child might see
Ethan Dave and Robert are making punch for a party They
combine 1 liter of lemonade a 2-liter bottle of sparkling
water and 450 milliliters of fruit juice How many milliliters of
punch do the boys make for the party
One way to help solve the problem LJ is to use a picture to think about the size of the measurements 0
1 liter 2 liters 450 milliliters
Since the problem is in liters and milliliters the first step is to convert the liters to milliliters Then combine the milliliters to find the total You can show the measurements with a bar model like the one below
1 liter= 1000 milliliters I 1 liter 2 liters
450 1000 milliliters 2000 milliliters milliliters
1 liter is the same as 1000 milliliters
Multiply 2 by 1000 to convert 2 liters to milliliters 1000 X 2 = 2000 Add all the milliliter measurements to find the total 1000 + 2000 + 450 = 3450 milliliters
Invite your child to share what he or she knows about converting units to solve multi-step problems by doing the following activity together
sectv2 copyCurriculum Associates LLC Copying is not permitted Lesson 25 length liquid Volume and Mass 267 middot)~
~ ~t I~ ~- (N
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Do an activity with your child to convert units of length
Materials ruler
bull Each person uses a ruler to measure the lengths of three household items Measure the length of each item in feet and inches to the nearest whole inch
I I I bull I I i i
bull List the three items along with their measurements on a sheet of paper
Examples Picture framemiddot 9 inches
Table top 1 frac12 feet
Door 2 feet 8 inches
bull Exchange papers and find the total length in inches of the three items on the other persons list Remember there are 12 inches in 1 foot
Example Picture frame 9 inches
Table top 1 frac12 feet = 18 inches
Door 2 feet 8 inches = 32 inches
Total 9 + 18 + 32 = 59 inches
bull The person whose measured items add up to a total length closest to 100 inches wins
Look for other real-life opportunities to practice converting units of length as well as units of liquid volume and mass with your child
i-middot 268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ d~l~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
4MDA2 Lesson 25 Introduction
Length Liquid Volume and Mass
Q Use What You Know
You have learned how to solve multi-step problems with time and money Now you will solve similar problems involving length liquid volume and mass Take a look at this problem
Julias family is visiting an amusement park A sign says a person
must be at least 45 inches tall in order to board the ride Julia
knows her younger sister was 3 frac12 feet tall at her last doctors
appointment and has grown 4 inches since then Is Julias
sister tall enough to board the ride
to ride this ride
a Describe how Julia can figure out if her sister is tall enough to board the ride
b What unit does Julia need to use to find out if her sister is tall enough to board the ride _____________ _
c How many inches are in each of these lengths 1 foot _____ 3 feet _ _ ___ frac12foot _ _ _ _ _
d How many inches are in 3frac12 feet Show how you got your answer
e How many inches tall is Julias sister now Is she tall enough to board the ride
Lesson 2S Length Liquid Volume and Mass elturriculum Associates LLC Copying Jsnot permlttld
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
gt find Out More
Measurement problems can include many different units If the units in the problem
are different you must convert at least one of the measurements so that all units are
the same
The problem on the previous page includes measurements in both inches and feet
To solve the problem start by converting feet to inches
To write 31 feet in inches start by writing 31 feet as 3 feet+-frac12 foot
3 feet + Jtoo~ 1 foot
I I I I I I I I V
I I 1 foot
I I I I I I Each square is 1 inch
1 foot
I I I I I I l foot 2
= l x 1 foot 2
=-frac12 X 12 inches
3 feet = 3 X 1 foot = 6 inches
= 3 X 12 inches
= 36 inches
31 feet= 36 inches + 6 inches= 42 inches
Now the only units in the problem are inches so you can solve the problem
Reflect 0 Explain why it is important to look at the units for the measurements in a problem
before you start to solve the problem
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 261
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Lesson 25 t Modeled and Guided Instruction
Learn About Solving Length Problems
Read the problem below Then explore different ways to solve length problems
Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of
the sandwich that is frac34 foot long Cindy wants to cut the remaining sandwich into
3-inch pieces to share with guests How many pieces can she make
Model It You can use a model to help solve length problems
The top bar of the model shows the full sandwich The bottom bar shows the sandwich
with frac34 foot cut off and the rest of the sandwich left to be shared
y
amount to cut into amount cut off 3-inch pieces
Model It You can use a number line to solve length problems
The number line shows the length of the sandwich 5 feet Each foot is divided into
four 3-inch sections
Amount of sandwich remaining Amount cu t off
------------------------A---- I ~
0 ft 1 ft 2 ft 3 ft 4 ft 5 ft
262 lesson 25 Len_g1h Lfqutd Volume and Masi egtCurrkulum ~pcla1es LLE Cojgtyl g is not peoni1d
n)
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Connect It Now you will use the number line to solve the problem from the previous page
Amount of sandwich remaining Amount cut off
-----------~--- --------A-
I 0 ft 1ft 2 ft 3 ft 4 ft 5 ft
fJ Use the number line to find the length of the sandwich that is left _____ _
0 How many inches are in 4 feet __________________ _
How many inches are infrac34 foot _________________ _
(I How many inches long is the sandwich that is left ___________ _
How many 3-inch pieces can be made from that Write an equation to represent
the problem ________________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
0 Cathy has 10 feet of ribbon that she wants to use to make bows She needsfrac34 foot
of ribbon for each bow She also needs to use 16 inches of the ribbon for another
project How many bows will she be able to make with the amount of ribbon that
is left (Remember there are 12 inches in 1 foot) ___________ _
0 Tom is playing football He carries the ball forward 7 yards and then goes
backward 2 feet How far forward did Tom carry the ball in feet after these two
plays (Remember there are 3 feet in 1 yard) _____________ _
IOCuri iculum Arnxla1~ t~C Copylog Is no per mined Lenon 25 Length Llqu d Volume and Mass 263 ~ ~ ~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
i
Name ----- -------
Study the example problem showing how to solve a multi-step problem about length Then solve problems 1-5
Example
Wendy has a fence that is 1 0 feet long Vines cover Length of fence a section of fence that isfrac34 foot long Wendy and
4 friends will each paint an equal length of the rest 11
of the fence How long is the section of fence that i each friend will paint I 1 foot= 12 inches Length Each length
with vines to paint Length of fence 1 0 feet = 120 inches
Length covered with vines frac34 X 12 inches= 10 inches
Length to paint 120 - 10 = 110 inches
Length of each section 110-- 5 = 22inches
The section of fence each friend will paint is 22 inches
0 Nestor needs 750 centimeters of rope Rope comes in
lengths of 4frac12 meters and 9 meters at the hardware 1 meter = 100 centimeters
store Which length of rope should Nestor buy
41 meters = 2 --- centimeters
9 meters= --- centimeters
a Which length is greater than 750 centimeters ___ centimeters
b Nestor should buy rope with a length of ____ _
fJ Which length is greaterfrac12 meter or 240 centimeters
Explain
1~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 271
-~ - G-J I I ~ fgt(
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Solve
El Jorge is playing football He carries the ball forward
5 i yards and then moves backward 1 foot How far
forward is the ball in feet from where Jorge started
carrying the ball
Show your work
Solution _ _______ _______ _
II Last summer Marion was 3 frac12 feet tall She was
4 inches taller than her brother Elijah She was
1 frac34 feet shorter than her sister Lorie How tall were
Elijah and Lorie last summer
Show your work
Solution Elijah _____ Lorie ____ _
B Paula has 4i yards of ribbon She cuts 4 inches off
each end of the ribbon to remove the frayed ends
She divides the remaining ribbon into 16 equal
pieces to make bows What is the length of ribbon
in inches used to make each bow
Show your work
1 yard = 3 feet
1 foot= 12 inches I
Solution _ ______________ _
272 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted J~ ~AA bull ~~-~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Lesson 25 Modeled and Guided Instruction
Learn About Solving Liquid Volume Problems
Read the problem below Then explore different ways to solve liquid volume problems
Marco Javier and Jim are going to a party Marco brings 1 frac12 liters of lemonade
Javier brings a 2-liter bottle of lemonade and Jim brings 450 milliliters of
lemonade How many milliliters of lemonade will the boys bring to the
party in all
Picture It You can use a picture to help solve liquid volume problems
Think about the size of each measurement
1 frac12 liters 2 liters 450 milliliters
Model It You can use a model to help solve liquid volume problems
The bar model shows the measurements from the problem combined
1 liter = 1000 milliliters andfrac12 liter = 500 milliliters
1 i liters 2 liters I mi~i~i~ers I t t t
450 2000 milliliters 1500 milliliters milliliters
264 Luson 2S Le(lg_th llqul~ Volume and Mass laquoltCurriculum Associates LLC Copying ls not permitted
~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Connect It Now you will solve the problem from the previous page using models and equations
IJ Use the amounts given in the problem to write an equation that shows the total
amount of lemonade T the boys bring to the party __________ _
I] What units are included in the equation Which measurements will you convert so
that all use the same unit Explain ______ ______ _____ _
0 Show how to find how many milliliters there are in 1 frac12 liters
Iii) Show how to find how many milliliters there are in 2 liters
m What is the total amount of lemonade the three boys brought to the party
Explain how you got your answer _________________ _
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
IE Joanne is making punch She usesfrac12 gallon of orange juice 3 quarts of lemonade
and 1 frac34 gallons of apple cider How many quarts of punch will she have all
together (4 quarts = 1 gallon) ________ __________ _
I) Matt has 4frac34 cups of milk He drinks 10 fluid ounces of it How many fluid ounces
of milk does Matt have left (8 fluid ounces= 1 cup) __________ _
Qlo11rr1JIUmf1~socates UC Gopylng b no~ ~milted Le~on 25 Length trgufd Volume a11d Maraquo 265 f1~ ~ f)~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Name ________ ___ _
Study the example showing how to solve a liquid volume problem Then solve problems 1-5
Example
Naomi has a container of water She uses 4 liters to 1 liter (l) = 1000 milliliters (ml)
water her vegetable garden She uses 3 frac12 liters to
water flowers She uses the remaining 500 milliliters
in the container to fill up a bird bath How many
milliliters of water did Naomi have in the container
Write an equation to find W = 4 l + 3frac12 l + 500 ml
the total amount of water 4 X 1000 ml= 4000 ml
Convert liters to milliliters 3 X 1000 ml = 3000 ml andfrac12 X 1000 ml =
Write the equation using W = 4000 ml + 3500 ml + 500 ml
milliliters and solve W= 8000 ml
Naomi had 8000 milliliters of water in the container
500 ml
Benny has two small fish tanks with one fish in each
tank On_e tank has 3 frac12 quarts of water The other tank
has 12 cups of water Benny combines the water into 1 quart = 4 cups
one large fish tank with both fish in the large tank
U How many cups of water are in the large tank
3 frac12 quarts 3 x 4 cups = ___ cups and frac12 x 4 cups = ___ cups
3 frac12 quarts = ___ cups ___ cups + ___ cups = cups
There are _____ of water in the large tank
fJ At least 5 cups of water are needed for each fish in a tank
How many more fish would Benny be able to put in the
large tank Explain
copyCurriculum Associates LLC Copying is not permitted Lesson 2S Length Liquid Volume and Mass 273 ~ ~
middotmiddotk
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Solve
IJ Tamara prepared fruit punch for a party She
usedfrac34 gallon of pineapple juice 2 quarts of
lemonade and 1 frac14 gallons of orange juice How
many quarts of punch did Tamara prepare
Show your work
Solution _______________ _
II Sharon and her cousin are making milkshakes at a
family reunion Sharon brought 2 frac12 gallons of milk
Her cousin brought 2 quarts of milk The girls used
8 quarts of milk for the milkshakes How much milk
is left There may be more than one correct answer
Circle the letter for all that apply
A 4 quarts D 1 gallon
B 6 quarts E 1 frac12 gallons
C frac12gallon
IJ Rob has 6 quarts of apple cider for the fall fair He
pours the cider into glasses to set on picnic tables
He pours 6 ounces of cider into each glass How
many glasses of cider does Rob set on the tables
Show your work
1 gallon = 4 quarts
1 quart = 4 cups
1 cup = 8 ounces
Solution ________ ___ ____ _
middot middot 274 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
M ~ A-$ltgt ~ f-t-7-r~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Lesson 25 ~ Modeled and Guided Instruction
Solving Weight and Mass Problems
Read the problem below Then explore different ways to solve mass and weight problems
Kyle has a jar filled with state quarters He knows when the jar is empty it has a mass of 900 grams but when it is filled with quarters it has a mass of 2 kilograms If each quarter has a mass of about 5 grams about how many quarters are in the jar
Picture It You can use a picture to help solve mass and weight problems
5 grams 900 grams 2 kilograms
Model It You can use a model to help solve mass and weight problems
2 kilograms
Mass of Quarters Sn
Mass of Empty Jar 900 grams
Use n to represent the number of quarters
Mass of 1 quarter is 5 grams
Remember that 1 kilogram is equal to 1000 grams
266 Lesso n 25 Lel)gth Liquid ioume and Mass CgtCurr culum Assocfotes UC Copying is nltll pemtled
-~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Connect It Now you will solve the problem from the previous page using equations
IE Remember that all the units need to be the same in order to add or subtract them
The mass of the empty jar is ____ grams
The total mass of the filled jar is kilograms or ____ grams
[E Write an equation to show that the mass of the quarters alone plus the mass of
the empty jar equals the mass of the filled jar ____________ _
IE What is the mass of the quarters alone _______________ _
IE Write an equation to show that the number of quarters times 5 grams equals the
total mass of the quarters Then solve the equation to tell how many quarters are in the jar __________________________ _
ID Describe the three steps you used to solve this problem
Try It Use what you just learned to solve these problems Show your work on a separate sheet of paper
mJ The recipe for a large batch of cookies uses 1 kilogram of flour Another recipe
uses 700 grams of flour How much flour is needed to make two batches
of each recipe ________________________ _
Em A can of nuts weighs 1 pound 1 ounce The empty can weighs 3 ounces If you
pour out half the nuts into a bowl how many ounces of nuts are in the bowl
(1 pound = 16 ounces) _____________________ _
lesson 25 length 1Jqufd Volllme ~ncl Mau 267 ~ ~ ~ -
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Name ________ __ _
Study the example problem showing how to solve a mass and weight problem Then solve problems 1-5
Example
The softball coach has a box filled with softballs The
weight of the empty box is 3 pounds When it is filled with
softballs the box weighs 12 pounds Each softball has a
weight of 6 ounces How many softballs are in the box
1 pound= 16 ounces
12 pounds Find the weight of the softballs in ounces
S = 12 pounds - 3 pounds = 9 pounds Weight of softballs (S) S = 9 x 16 ounces = 144 ounces
Find the number of softballs i 5=6Xn S = Weight of 1 softball (6 ounces) 144 = 6 X n x number of softballs (n) 24= n
There are 24 softballs in the box
3 pounds
i Weight of
empty container
0 Look at the example above Explain why you need to
find the weight of the softballs in the box in ounces
EJ Tysons baby brother weighed 7 pounds 3 ounces
when he was born The baby lost 9 ounces after a
few days and then gained 1 pound 6 ounces by the
end of the week How much did the baby weigh at
the end of the week
Show your work
Solution ______________ _
-~ copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 275
~-~ th
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Solve
IJ A large truck that moves cars can carry a maximum load 1 ton = 2000 pounds of 15720 pounds The table below shows the weight of
each kind of car that could be loaded onto the truck
Kind of Car Compact Mid-size Full-size
Weight middot(in tons) 11 2
21 4
3
Choose Yes or No to tell whether the truck is able to
carry each load of cars below
a 2 full-size cars 1 compact car O ves 0 No
b 2 compact cars 2 full-size cars O ves No
C 2 mid-size cars 2 compact cars Oves No
d 4 mid-size cars O ves 0No
II Melinda donated fudge for the school bake sale She 1 pound= 16 ounces wrapped 80 pieces of fudge Each piece of fudge
weighed 1 ounce How many pounds of fudge did
Melinda wrap
Show your work
Solution ______________ _ _
D A paper clip has a mass of 1 gram A box of paper clips 1 kilogram = 1000 grams has 100 paper clips Which equation below can be used
to find the number of boxes of paper clips that will have
a mass of 1 kilogram Let n be the number of boxes
Circle the letter for all that apply
A 100 = 1000 --- n
B n = 1000 X 100
C n = 1000 --- 100
D 1000 = n X 100
276 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted )ti kl ltA ~ 1middotrrl-r ~r
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Lesson 2S bull Guided Practice
Practice Solving Measurement Problems
Study the example below Then solve problems 21-23
Example
Charlie is having a breakfast party He buys 3 quarts of milk
All 11 people at the breakfast want an 8-fluid ounce glass of milk
Explain if Charlie bought enough milk
Look at how you could show your work using a picture
1 quart 32 fluid ounces
Charlie has 3 quarts and 3 X 32 = 96
Each glass holds 8 fluid ounces and 11 X 8 = 88
Solution Yes he has 96 fluid ounces and needs 88 fluid ounces
Charlie needs to know how many fluid ounces of milk are needed to fill the 11 glasses
( PairShare How else could you solve the problem
BJ Mary has 7 frac34 yards of fabric She cuts offfrac34 foot of fabric to make
the edge even Mary wants to end up with 3 pieces of fabric that
are the same size How long will each piece be (1 yard = 3 feet)
Show your work
Solution ____________________ _
Will Mary add subtract multiply or divide to get 3 equal pieces of fabric
-- gt~gt -- PairShare How did you solve the problem Why did you choose that method
268 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
EE A wildlife sanctuary has two elephants One has a weight of
11028 pounds and the other has a weight of sfrac12 tons A platform
can hold 22000 pounds Can the platform hold both elephants
Explain your reasoning (1 ton = 2000 pounds)
Show your work
Solution ____ _______________ _ _
Will the combined
weight be measured in
pounds or tons
PairShare Did you and your partner solve the
problem the same way
Ell Jessica is making punch She mixes 132 ounces of juice and
15 cups of seltzer How many 6-ounce glasses can she fill
Circle the letter of the correct answer
A 20 glasses There are 8 fluid ounces
B 22 glasses in 1 cup
C 24 glasses with 3 ounces left over
D 42 glasses
Jason chose C as the correct answer How did he get that answer
_ PairShare Does Jasons answer make sense
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 269
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Name - - ---- ------
Solve the problems
--- --middot----middot---middot ___ __ ~~---------~_~c~_ ______ _ 1 - bull ---- bull -~--- ------middot ~ --- --------- -middot~_ ____ ~-----
I
I O Miguel and his brother put two 8-foot tables end to
end for a graduation party The tablecloth they plan
to use is 5 yards in length Is the tablecloth long
enough to cover both tables
A Yes because 8 feet lt 10 yards
B Yes because the tables are 8 feet long and the
tablecloth is 15 feet long
C No because the tables are 16 feet long and the
tablecloth is 15 feet long
D No because 8 feet gt 5 yards
1 yard = 3 feet WJat vnitS Shovld
yov vSe to compare
tJe len9tJ of tJe
tables- and tJe len9tJ
of tJe tableclotJ
I ) -----------
IJ Patel bought a 2-pound bag of trail mix He
poured frac12 pound of the mix into a bowl and divided
the remaining amount into bags Each bag had
2 ounces of trail mix How many bags did Patel use
A 20 bags
B 16 bags
C 12 bags
D 8 bags
Jen chose A as the correct answer How did she get
that answer
1 pound = 1G ounces-
ibw many ounces- of
trail mix is- Jie di_vidi19 into ba9s-
bull r
copyCurriculum Associates LLC Copying is not permitted Lesson 25 Length Liquid Volume and Mass 277 bull - M
I (1N7
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~
Solve _ ______ --- -------------------------IJ Marcus poured an equal amount of milk into
4 bottles He started with 1 quart of milk After
pouring he hadfrac34 of a quart of milk left How many
ounces of milk did Marcus pour into each bottle
Show your work
Solution ____________ _ _ _ _
1 qvart = lf cvps 1 cvp = 8 ovnces TJere are two steps in this problem~
II Maya cut a length of wood into strips to make 5 small
picture frames She used 14 inches of wood for each
frame For another project she cut another length of
wood into 3 strips of 1 foot each and 4 strips offrac14 foot
each How much wood in inches did Maya use in all
Show your work
1 foot == 12 i~ches Yov ca rt vse
-J-h~lfiplicatioh arid
-~ad~itionmiddotfo solve tJis problem
Solution __________ _____ _
278 Lesson 25 Length Liquid Volume and Mass copyCurriculum Associates LLC Copying is not permitted
~ -Yt -IA 6~ 1fmiddot-ZV- ~~