MATHUNIT 1

4TH GRADE

PROBLEM SOLVINGJacob helps at the family flower shop in the summer.

He keeps a record of how many flower bouquets he sells. How many bouquets did he sell on

Tuesday and Wednesday?

MONDAY 17

TUESDAY 24

WEDNESDAY 26

THURSDAY 35

FRIDAY 43

SATURDAY 48

Use a Bar Diagram

Total: total number of bouquets he sold on

Tuesday and Wednesday.

?

Part Part

24 + 26 = ?

MONDAY 17

TUESDAY 24

WEDNESDAY 26

THURSDAY 35

FRIDAY 43

SATURDAY 48

24 26

Emily is saving to buy a sweatshirt from the college her brother attends. She

has $13. How much more money does she need to buy the sweatshirt?

Total: Cost of the sweatshirt

_____$32_____

32 – 13 = _____

$32$32

$13 ?

Tickets to a movie on Saturday cost only $5 each no matter what age you are. What is the cost of tickets for a

family of three?

Total cost ?

3 X 5 = ____

5 5 5

Twenty-four students traveled in 3 vans to the zoo. The same number of

students were in each van. How many students were in each van?

24

24 divided by 3

The race was 5 kilometers. Markers were at the starting line and the finish line. Markers showed each kilometer of the race. Find the number of markers used.

What should your strategy be?

Start Line 1 km 2 km 3 km 4 km Finish Line

How many ways can you make change for a quarter using dimes and nickels?

Michael and Madison spent all day Saturday at the County Fair. Michael

rode 3 rides every half hour and Madison rode 2 rides every half hour. How many rides had Madison ridden

after Michael rode 24 rides?Strategy: Make a chart

The house numbers on Forest Road change in a planned way. Describe the pattern. Tell what the next two house

numbers should be.

3 6 10 15 ___ ___ ___

Joshua spent $27, not including tax, on supplies for his dog. He bought two of

one item and one of another item. What did he buy?

Strategy: Guess and Check

Leash $8

Collar $6

Bowls $7

Bed $15

Emma’s new CD player can hold 6 discs at one time. If she has 204

CDs, how many times can the player be filled without repeating a CD?

204 divided by 6 =

204

n

n

How many different ways can 4 students shake each other’s hand?

Strategy: Act it out

What is the perimeter of the figure?Each side of each triangle in the figure is one

centimeter. If there are 12 triangles in a row, what is the perimeter of the figure shown?

Strategy: Make a table ( function chart )

3 4

1 2 3 4 5 6 7 8 9 10 11 12

Matthew collected some shells, rocks, and beach glass.

How many of each object are in his collection?

2 rocks

3 Times as many shells as rocks

12 objects in all

Beach glass

Olivia was in a jump rope contest. How

did her number of jumps change over the five days of the contest?

M T W T F

80

60

40

20

Daniel has band practice at 10:15 a.m. It takes 20 minutes to get from his home to practice and 5 minutes to

warm up. What time should he leave home to get to practice on time?

Strategy: work backward

Writing to Explain

What will happen to the area of a rectangle if the lengths of its sides are

doubled? 2 inches

1 inch

______________________________

______________________________

______________________________

______________________________

______________________________

______________________________

Writing to Explain

Use blocks to show 13 X 14.

Draw a picture of what you would do with the blocks.

REVIEWdigit compare even period odd number line

A group of three digits in a number separated

by a comma is a

A ____________ is a line that shows numbers in order using a scale.

The number 8 is an ___________ number.

The number 5 is an __________ number.

Compare each set of numbers using> greater than < less than = equal to

13 10 7 7 28 29

14 5 43 34 0 1

52 52 13 65 22 33

Tell if the highlighted digit is in the ones, tens, or hundreds place.

346 17 921

106 33 47

217 320 810

1,006 999 1,405

Writing to Explain

How does using commas to separate periods help you read very large

numbers?

__ __ __, __ __ __, __ __ __, __ __ __

_________________________________

_________________________________

_________________________________

_________________________________

Representing NumbersWhat are some ways to write numbers in the thousands?

Hannah is 4,276 feet above sea level. There are many different ways to represent 4,276.

How do you read and write numbers in the thousands?

Standard Form: When writing a number in standard form you write only the digits.

5,263

Expanded Form: A number in expanded form is written as the sum of the values of each of the digits. 5,000 + 200 + 60 + 3

Word Form: Use periods in the place-value chart to write the number in words.

five thousand, two hundred sixty-three

Writing to Explain

Why is the value of the 5 in 5,784 = 5,000?

Explain: __________________________

Is the expanded form for 6,348 the same as 6,348?

Explain: __________________________

Write the word form of each.

What is the value of the red digit in each number?

15,324 135,467 275,206

42,158 63,308 921,382

Write each number in expanded form.

764,513 23,105 219,328

85,124 806,633 75,200

Write each number in standard form.

Can you read this number?

.

Write each number in Standard form.eighty-three thousand,

nine hundred twothree hundred twenty-

one thousand, two hundred fifty-three

twenty-one thousand, eight hundred

seventeen

three hundred eight thousand, twenty-nine

four hundred ninety-seven thousand, six

hundred seven

one hundred twenty-five thousand, seven hundred sixty-three

five thousand, one hundred forty-five

twenty-three thousand, three hundred seventy

four hundred three thousand, eight

hundred sixty-one

Which digit is in the same place in all three numbers?

What is the place-value position?

574,632 24,376 204,581

Write the number 403,867 in word form.

________________________________

Can you expand it? _______________________________

What is the largest 4 digit number you can make?

_____________

What is the smallest 4 digit number?

______________

Write to explain: __________________________________

The city of Port Orange has 124,763 books in their Library with 3,142 DVDs in their collection. This year they will purchase an additional 1,500 books

and 2,000 DVDs. How many books will the library have after the purchase?

What is the operation?

Set up and solve.

_____ _____ = ______

The Everglades National Park is the largest national park in Florida. It was

established in 1947. What is this number in expanded form?

___________

This is the year 2013. How long ago was the Everglades National Park

established?

____________

The Egyptians created a number system that used symbols, or hieroglyphs. The

chart shows the symbols and their equivalent numbers.

Hieroglyphs are drawn with the

greater number in front of the

lesser number. 31

Hieroglyphs can be read from

left to right. 523

If the symbols are stacked,

the greater number is on

the top. 214,413

Write 217 in word form and using

hieroglyphs.

___________

___________

Write 2,523 in word form and using

hieroglyphs.

____________

____________

Which number will take less time to write with

hieroglyphs, 9 or 100?

Explain…

Use hieroglyphs to write the greatest 5 digit number

possible.

Use hieroglyphs to draw the number one greater

than 249.

____________

It is believed that the Egyptian number system

was created around 3000 B.C. Use hieroglyphs to represent this number.

____________

Roman Numerals is another number system. How does it compare to the

Egyptian system?

What are some ways to write numbers in the millions?

Between 2001 through 2005, 356,039,763 fans attended professional baseball

games. Write the expanded form and word form for 356,039,763.

Draw a place-value chart to help.

Write the number in word form. Then tell the value of the red digit in each

number.

75,600,295 249,104,330 6,173,253

430,290,100 16,107,320 78,001,432

Write each number in standard form.

300,000,000 + 40,000,000 + 7,000,000 + 300,000 + 10,000 + 6,000 + 20 + 9

900,000,000 + 20,000,000 + 6,000,000 + 20,000 + 4,000 + 10

80,000,000 + 1,000,000 + 600,000 + 20,000 + 900 + 40 + 8

Tell the value of the red digit in each number. Write each number in word

form.7,915,878 23,341,552 214,278,216 334,290,652

7,330,968 30,290,447 133,958,840 309,603,114

In 2005, seventy-four million, nine hundred fifteen thousand, two hundred sixty-eight fans attended baseball games. Which choice shows this number in standard

form?

74,015,968 74,905,268

74,900,268 74,915,268

The vault at Fort Knox holds 147,300,000 ounces of gold. Write the number that

is one million more.

Write the expanded form of

123,456,789 and 987,654,321.

Which digit has the same value in

both numbers?

Write the standard form of a 9-digit number with a 5 in the millions place

and a 9 in the tens place.___________________

Write a number that is ten million more than the number you chose.

______________

Write a number that is one million less than the number you chose.

______________

How can you estimate an unknown distance?

Mrs. Vale asked her students to estimate the distance around their classroom. Is the distance closer to 50 feet, 100

feet, or 150 feet?

When trying to estimate an unknown distance you should use a distance that

you already know. (benchmark)

You know that when you take a large step it is about 3 feet.

Using this information you can estimate any distance.

If it takes you 10 steps to cross the classroom it would be about _____ feet.

Chris wanted to estimate the number of seats in a football stadium. Is the total number of seats in the stadium closer

to 20,000 seats, 60,000 seats or 160,000 seats?

about 5,000 seats

An unsharpened pencil is about 7 inches long. Use your pencil to estimate the

distance around your desk. Is the distance closer to 15 inches, 90

inches, or 300 inches?

Is the distance around your book closer to 12 inches, 50 inches, or 100

inches?

Without using a standard measuring tool, how can you make an educated guess? _____________________

What else could you use as a benchmark? ______________

How big is your thumb?

Can you use this knowledge to help you estimate the size of objects?

How big is your arm span?

Can this knowledge help you estimate the length of objects?

How big was the King’s foot?

How do you know?

How do we use this knowledge?

How can the known data help you estimate how many beans are in the

jar if the jar were full?

Would the jar hold 1,500

or 3,000 or 5,000 beans?

Using data for only part

of the amount is called

a BENCHMARK.1,000

Think about the jar of beans.

If you fill the jar with marbles to the same level as 1,000 beans there

would be 200 marbles.

After all, marbles are bigger

than beans so they take

up more space.

Using this data how many

marbles will fill the jar?

The distance between Orlando and Tampa is about 85 miles. Is the

distance between Tampa and Miami

closer to 100 miles, 300 miles, or 500

miles? Explain.

How can you use the map and the known distance

between Orlando and Tampa to estimate the

distance from Orlando to Palm

Beach?

A parking garage has six levels. Each level has spaces for 312 cars. Over

4,000 vehicles are expected for a large event at the Ocean Center. Will the parking garage be able to hold over

4,000 vehicles?

Explain your answer.

The picture of the park shows the area of the park where trees are to be

planted.

About how much of the park will contain trees?

Hint: The lake ispart of the park.

New park benches will be installed

every 100 yards along the path.

The total length of the walking path

is about 6,000 yards.

What is a good estimate of the number

of benches that the park will have?

The Mote Aquarium in Sarasota, Florida,

has a 135,000 gallon shark tank.

What is the value of the 3 in this number?

The length of one year on a planet is the total time for the planet to make one

complete trip around the Sun. a. How many fewer days does

it take Mercury to circle

the Sun than for Earth

to circle the Sun?

b. About how many more Earth

days is a year on Mars than

a year on Earth?

c. Which planet has a digit 6 with a

value of sixty thousand in the

length of its year?

PLANET LENGTH OF YEAR

MERCURY 88

VENUS 225

EARTH 365

MARS 687

JUPITER 4,330

SATURN 10,756

URANUS 30,687

NEPTUNE 60,190

Which planet has a year that is about six thousand Earth days more than Jupiter’s?

a. Which two planets

have a combined year

of about 41,000 days?

b. How many fewer days

does it take Mars to

circle the Sun than

it takes Saturn?

PLANET LENGTH OF YEAR

MERCURY 88

VENUS 225

EARTH 365

MARS 687

JUPITER 4,330

SATURN 10,756

URANUS 30,687

NEPTUNE 60,190

Which space object listed has

an average surface temperature

closest to Earth’s?

What is the average

surface temperatures

in order from least to

greatest.

SPACE OBJECT

AVERAGE TEMPERATURE

MERCURY 332 Degrees F

EARTH 59 Degrees F

MOON 0 Degrees F

VENUS 867 Degrees F

Abigail’s favorite planet has at least

5 letters in its name. The length of

its year is less than 10,000 Earth days. List all the

planets that fit these clues.

PLANET LENGTH OF YEAR

MERCURY 88

VENUS 225

EARTH 365

MARS 687

JUPITER 4,330

SATURN 10,756

URANUS 30,687

NEPTUNE 60,190

Interpret the value of a given digit in a number. (Be careful – we are not talking about

place value. We are asking the actual value of each digit)

264,901,835How many millions? _______

How many thousands? ___________

How many hundreds? ____________

How many tens? ________________

How many ones? ________________

How can you compare numbers?

Africa and Asia are the two largest continents on Earth. The land area of Africa is 11,608,000 square miles. The land area of Asia is 17,212,000 square

miles.

Which continent is larger?

1 1, 6 0 8, 0 0 0

1 7, 2 1 2, 0 0 0

Compare each digit place by place.

How can you order numbers?

The area of 3 continents on Earth are shown in the table. Write the areas in

order from least to greatest.

Continent Area

Europe 4,010,000

N. America 9,450,000

S. America 6,890,000

Plot numbers on a number line.

4,000,000 6,000,000 8,000,000 10,000,000

Continent Area

Europe 4,010,000

N. America 9,450,000

S. America 6,890,000

Write < , = , or > to compare numbers.

12,643 12,801 6,519 6,582

111,785 111,731 6,793 6,699

3,107,502 3,170,501 2,906,793 2,906,793

80,371 80,731 15,048 16,408

Order these numbers from greatest to least.

105,232,463

105,232,482

105,232,947

_____________________________

Which place did you have to look at to order these numbers?

Compare numbers using the symbols

> < < = =

34,896 ____ 43,897 132,489 ____ 132,498

4,937 ____ 4,936 8,965,376 ____ 865,376

3,001 ____ 3,010 901,267 ____ 910,627

Writing <, >, or = to compare numbers.

221,495 210,388 52,744 56,704

138,752 133,122 4,937 4,939

22,873 22,774 1,912,706 1,913,898

412,632 412,362 99,999,999 9,990,999

Order the numbers on the number line.

26,000 27,000 28,000

27,505

26,905

26,950

Order the numbers on the number line.

3,422,000 3,422,500 3,423,000

3,422,100

3,422,700

3,422,000

Order the numbers on the number line.

7,500 7,600 7,700 7,800 7,900

7,502

7,622

7,523

7,852

Order the numbers on the number line.

3,000 3,050

3,030

3,033

3,003

Write the numbers in order from least to greatest.

57,535 576,945 506,495 18,764 18,761 13,490

25,988 25,978 25,998 877,837 37,838 878,393

43,783 434,282 64,382 723,433 72,324 72,432

58,028 85,843 77,893 274,849,551 283,940,039 230,485,903

Andrew added 57 and 20 and said the

answer is greater than 100.

Is Andrew correct?

Could you use only the millions period

to order 462,409,524 - 463,409,524

and 463,562,391?

Write three numbers that are greater than 780,000 but less than 781,000.

___________________

Order the numbers 7,463 - 74,633 and

74,366 from greatest to least.

_________________________

In 2003, the heaviest snake living in

captivity was a Burmese python named

Baby. Baby weighed in at 403 pounds.

An average Anaconda snake

weighs 330 pounds. Which snake

weighs more?

Which list of numbers is in order from

least to greatest?

Which is in order form greatest to least?

1,534 1,576 1,563

18,732 18,723 18,765

234,568 234,563 234,323

383,847 383,848 383,849

Which child has saved the most

baseball cards?

Isabella

3,424

Ethan

2,354

Samantha

3,443

Joesph

2,932

How much greater is the land area of China than Japan?

Country Land Area

Japan 377,835

China 9,600,000

The Atlantic Ocean has an area of

33,420,000 square miles. This area is

between which sets of numbers?

33,400,000 33,040,000

33,400,000 33,440,000

33,100,000 33,419,000

33,430,000 33,500,000

How can you round numbers?

Round 293,655,404 to the nearest thousand and to the nearest

hundred thousands. Use place value to round numbers.

If the digit to the right of the rounding place is 5 or more,

add 1 to the rounding digit.

If it is less than 5, leave the rounding digit alone.

2 9 3, 6 5 5, 4 0 4

Round each number to the place of the highlighted digit.

128,955 85,639

9,924 1,194,542

160,656 149,590

In 2008, the population of the United

States was 304,691,952.

Round 304,691,952 to the nearest

hundred thousand.

Round each number to the place of the underlined digit.

493,295 39,230 77,292

453,280 75,254 54,846

21,679 55,560 17,909

9,049 6,668,365 3,417,547

9,511 123,900 1,666,821

9,000,985 149,999 73,065

For each zoo in the chart, round the attendance to the nearest hundred

thousand.

Which zoo had the greatest number of visitors?

Nashville Zoo 546,429

Philadelphia Zoo 1,244,000

Oregon Zoo 1,503,565

Brevard Zoo 328,973

Elizabeth read that about 1,760,000 people

will graduate from high school in the

next four years. She thinks this

number is rounded to the nearest ten

thousand. What would the number be

if it were rounded to the nearest

hundred thousand?

Ashley has attended class every day

since she started school as a

kindergartener. She said she has been

in school for about 1,000 days. What

could the actual number of school

days be if she is in 4th grade and the

number is rounded to the nearest ten?

When rounded to the nearest ten thousand, which number would be

rounded to 120,000?

123,900

128,770

130,000

124,480

A fruit market sold 3,849 apples,

3,498 oranges, and 3,894 pears in

one month. Which of these numbers is

the greatest?

How can you estimate sums and differences?

The Empire State Building was completed in 1931. From ground to tip, it measured 1,250 feet. At the top of

the building is an antenna and lightning rod that measures 204 feet.

Estimate the total height of the structure.

When estimating you usually round the number in order to add or subtract

easily.

The Washington Monument was completed in 1884. About how many

years after was the Empire State Building completed?

1931

1884

Estimate each sum or difference.

563

+ 375

288

- 171

645

+ 253

262

- 132

The Statue of Liberty was completed

in 1886. About how many years later

was the Empire State Building

completed than the Statue of Liberty?

1886 - 1931

William bought a board game for $24,

a key ring for $3, and a book for $8.

How much money did he spend?

Challenge: If he gives the cashier two $20 bills how much change will he receive?

This year, 35,658 people ran in a

marathon. Last year, 8,683 fewer

people ran in the marathon. About how

many people ran last year?

Anthony sold 86 tickets to the school’s

talent show on Thursday and 103

tickets on Friday. About how many

tickets to the talent show did he sell

in all?

Alexis was born in the year 2004.

One of her older sisters was born in

1992. Rounding to the nearest ten,

about how many years younger

is Alexis?

During swimming practice, David swam

15 laps and Sarah swam 9 laps.

How many more laps did David

swim than Sarah?

Sophia read 235 pages of a book. She had 192 more pages to read before

she was done. How many total pages were there in the book?

?

235 192

PROBLEM SOLVING strategy: DRAW A PICTURE

The mass of a human brain is how much greater than the mass of a chimp brain?

Draw a picture and write an equation to solve.

1,350

Cat 30 grams

Chimp 420 grams

Human 1,350 grams

Dolphin 1,500 grams

420

Four cities are on the same road that runs east to west. Fleming is west of Bridgewater, but east of Clinton. Union is between Fleming and Bridgewater. It is 21 miles from Fleming to Union. It

is 55 miles from Clinton to Union. How far is it from Clinton to Fleming?

W

E

There are about 200 more species of animals in the Minnesota Zoo than in

the Phoenix Zoo. About how many species of animals are in the

Minnesota Zoo? About how many at the Miami Metro Zoo?

ZOO Number of Species

Phoenix 200

Minnesota

Miami Metro

Indianapolis 360

Total Species 2,260

A parking lot had a total of 243 cars

in one day. By 6:00 a.m. there were

67 cars in the lot. In the next hour,

13 more cars joined these.

How many more cars would park

in the lot by the end of the day?

The American Kennel Club lists 17 breeds of herding dogs and 26 breeds

of terriers. Find the total number of breeds of herding dogs and terriers.

In one week Alexandra earned $36 from

her babysitting job. She got $15 more

for doing her chores. How much

money did she earn that week?

?

FLORIDA TEST

CHAPTER 1