math chapter 2
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CHAPTER 2
Divide by 1-Digit Divisors
Chapter 2: Vocabulary Words Compatible numbers – numbers that are
easy to compute with mentally Estimate – to find a number that is close
to the exact number
Chapter 2 Lesson 1Patterns in Division
Unlock the Problem
Problem Solving pg. 47Use the sign to solve 16 - 17
16. A summer camp paid $560 for a group of 15-year-olds to ride the tram. How many tickets did the camp buy?
Cost of tickets for a 15-year old? ____
Division problem: ___ ÷ ___ = ___
Problem Solving pg. 47Use the sign to solve 16 - 17
17. Fae paid $280 for youth tickets and $90 for children’s tickets. How many of each kind of ticket did Fae buy?
Cost of youth ticket? ___ Cost of children’s? ___
Division problem:
Connect to Science
Write Math - Journal
Explain why there is one more zero in the dividend than in the quotient when you find 40,000 ÷ 5.
Chapter 2 Lesson 2Methods of Division with 1-Digit
DivisorsUse partial quotients
- underline what is being asked
- circle the information needed to solve the problem
There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria?
Divide: 128 ÷ 4
So there are ___ tables in the cafeteria.
Use the Distributive Property
Explain why you can write the dividend using a different set of addends and still have the same quotient?
Problem Solving pg. 52Use the table to solve 21 - 23
21. Ross’s school is collecting food for the community food bank. Ross and his classmates each collected 9 items. How many students are in Ross’s class?
Divide & Check:
Problem Solving pg. 52Use the table to solve 21 - 23
23. In Aidan’s class each student collected one less item than Emma’s class. How many items did each student in Aidan’s class collect? How many students are in Aidan’s class?
***hint*** look at questions 22 for additional information
Divide & check
Write Math - Journal
Explain how to use the Distributive Property to find 819 ÷ 9.
Chapter 2 Lesson 3 Estimate with 1-Digit Divisors
Compatible numbers – numbers that are easy to compute with mentally
A horse’s heart beats 132 times in 3 minutes. About how many times does it beat in 1 minute.
Estimate: 132 ÷ 3 Step 1: Find a number close to 132 that is easily divided by 3
example: 120 ÷ 3 Step 2: Use a basic fact and a pattern to divide by 3
120 ÷ 3 = 4 120 ÷ 3 = 40
So, a horse’s heart beats about ___ times in minute.
Try This! pg. 53
Use compatible numbers
Problem Solving pg. 55Use the table to solve 24 - 27
24. About how many times does a chicken’s heart beat in 1 minute?
25. About how many times does a cow’s heart beat in 2 minutes?
26. About how many times faster does a cow’s heart beat than a whale?
Connect to Reading pg.56
Write Math - Journal
How can you use compatible numbers to estimate quotients?
Chapter 2 Lesson 4 Model 3-Digit Division
Investigate Complete with a partner
Materials: base-ten blocks, Go Math! pg. 57
Draw a quick pictureuse base-ten blocks if needed
Find 137 ÷ 4
Problem Solving pg. 60 What’s the error?
Write Math – Journal
How can you use base-ten blocks to model division of a 3-digit dividend by a 1-digit divisor?
Chapter 2 Lesson 5Place the First Digit
Unlock the Problem
Example:
Divide: 4236 ÷ 5
Unlock the Problem pg. 66
Rosa has 125 daisy plants. If she plants an equal number in each daisy section, will she have any left over? If so, how many plants will be left over?
Rosa has ___ daisy plants. She puts an equal number in each of ___ sections. Each section has ___ plants. Rosa has ___ daisy plants left over.
Write Math - Journal
How can you tell where to place the first digit of a quotient without dividing?
Chapter 2 Lesson 6Interpret the Remainder
There are 3 ways to interpret the remainder of a division problem. Drop the remainder – if the questions asks
for the exact amount in each group. Add 1 to the quotient – if the entire
dividend needs to be accounted for. Use the remainder as the answer – if the
question asks how many are left.
Drop the remainder
5. A campground has cabins that can each hold 6 campers. There are 148 campers visiting the campground. How many cabins are full if 6 campers are in each cabin?
Add 1 to the quotient
Problem Solving pg. 70 #9
Mr. Field wants to give each of his 36 campers a certificate for completing an obstacle course. If there are 8 certificates in one package, how many packages will Mr. Field need?
Use the remainder
6. A total of 123 fifth-grader students are going to Suwanee River State Park. Each minivan holds 7 students. All of the minivans are full except one. How many students will be in the van that is not full?
Write the remainder as a fraction and as a decimal.
Example pg. 68
Write the remainder as a fraction and as a decimal.
4. A group of 4 girls go to a bakery after school. The girls share 14 cookies equally among them. How many cookies did each girl eat?
10. James has 442 feet of rope. There are 6 teams of hikers. If James gives an equal amount of rope to each group, how much rope will they each receive?
Write Math - Journal
How do you use the remainder to solve a division problem?
Chapter 2 Lesson 7Divide by 1-Digit Divisors
Jenna’s family is planning a trip to Jamestown, California. The family will start in Jacksonville, FL, to travel 2,754 miles over 9 days. If the family travels an equal number of miles each day, how far will each day’s travel be?
Divide: 2,754 ÷ 9 Check:
9 2754
So, Jenna’s family will travel ___ miles each day.
Try This! Divide - write the remainder as a decimal
Problem Solving pg. 74Use the table to solve 19 - 20
19. If the Welcome gold nugget turned into 3 equal-sized gold bricks, how many troy ounces would each brick weigh?
Problem Solving pg. 74
21. There are 246 students going on a field trip to pan for gold. If each van holds 9 students, how many vans are needed if all but the last van is filled? How many students will ride in the van that isn’t full?
They will need ___ full vans. There will be ___ students in the last van.
Write Math - Journal
How do you solve and check a division problem?
Chapter 2 Lesson 8 Draw a Diagram
Sean and his family chartered a fishing boat for the day. Sean fished for six hours and caught a white marlin and an amberjack. The white marlin weighed four times as much as the amberjack. Sean caught a total of 145 pounds of fish. How much did each fish weigh?
Important information:
So, the amberjack weighed ___ pounds and the white marlin weighed ___ pounds.
Draw a diagramuse the table to solve 4 - 7
2. What if the tarpon weighed 3 times as much as the permit fish and the total weight of the two fish was 108 pounds? How much would each fish weigh?
Important information:
Diagram:
There was ____ pounds of permit fish & ____ pounds of tarpon.
Draw a diagram pg. 78use the table to solve 4 - 7
4. Kevin is starting a saltwater aquarium witch 15 fish. He wants to start with twice as many damselfish as clown fish. How many of each fish will Kevin buy? How much will he pay for the fish?
Important information:
Diagram:
Kevin will buy ___ damselfish and ___ clownfish. He will spend a total of $___.
Draw a diagram pg. 78use the table to solve 4 - 7
5. Kevin used a store coupon to buy a 40-gallon tank, an aquarium light, and a filtration system. He paid a total of $240. How much did Kevin save by using the coupon?
Important Information:Diagram:
Kevin saved $___ by using his coupon.
Write Math - Journal
How can the strategy draw a diagram help you solve the division problem?
Chapter 2 - Review