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©Curriculum Associates, LLC Copying is not permitted.264 Lesson 24 Solve Problems Using Scaled Graphs

The bar graph shows the number of each type of book Eddy read last summer.

5

4

3

2

1

0ScienceFiction

Mystery Art Comedy

Books Eddy Read

Nu

mb

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oo

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Type of Book

Use the bar graph to solve problems 4–8. Complete each sentence.

4 Eddy read the same number of and books.

5 Eddy read more comedy books than art books.

6 Eddy read mystery and art books.

7 Eddy read a total of books that were not science fi ction.

8 Last summer Eddy read books altogether.

Vocabularybar graph a graph

using bars to show data.

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science fictionmystery

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7

11

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©Curriculum Associates, LLC Copying is not permitted. 263Lesson 24 Solve Problems Using Scaled Graphs

Name:

Vocabularypictograph a graph

using pictures or

symbols to show data.

data pieces of

information.

Prerequisite: Read Pictographs and Bar Graphs

Study the example showing how to use a pictograph to answer a question. Then solve problems 1–8.

Use the pictograph above to solve problems 1–3.

1 How many biography and fantasy books did Annie read in all?

2 How many fewer comedy books than biography books did Annie read?

3 How many books in all did Annie read last summer?

Example

Annie made a pictograph to show the types of books she read last summer. How many more mystery books than comedy books did Annie read?

Books Annie Read

Biography Comedy Mystery Fantasy

Count to find howmany of each typeshe read.

3 2 5 4

Write a number sentence to find the difference: 5 2 2 5 3

Annie read 3 more mystery books than comedy books.

Solve Problems Using Scaled Graphs

Lesson 24

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3 1 4 5 7; 7 biography and fantasy books

3 2 2 5 1; 1 fewer comedy book

3 1 2 1 5 1 4 5 14; 14 books in all

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Use the pictograph to solve problems 5−9. Show your work.

Students voted for their favorite animal at the petting zoo. The pictograph shows the number of students who voted for each animal.

5 How many students voted for llamas?

6 How many fewer students chose goats than pigs?

7 How many votes did goats and rabbits get altogether?

8 How many more students chose rabbits than llamas?

9 Make your own statement about the data in the pictograph. Show how you know your statement is true.

Goats

Rabbits

Llamas

Pigs

Each stands for 6 students.

Favorite Zoo Animals

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18

18

96

42

Possible work: 3 3 6 5 18

Possible work: 9 2 6 5 3 and 3 3 6 5 18

Possible work: 6 3 6 5 36 and 6 3 10 5 60; 36 1 60 5 96

Possible work: 10 2 3 5 7 and 7 3 6 5 42

Possible answer: Altogether 168 students voted.

goats: 6 3 6 5 36; rabbits: 10 3 6 5 60; llamas: 3 3 6 5 18; pigs: 9 3 6 5 54; and

36 1 60 1 18 1 54 5 168

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©Curriculum Associates, LLC Copying is not permitted. 265Lesson 24 Solve Problems Using Scaled Graphs

Name: Lesson 24

Read and Interpret Scaled Pictographs

Study the example showing how to read and interpret a scaled pictograph. Then solve problems 1–9.

Use the pictograph to solve problems 1−4. Show your work.

1 How many students chose lions?

2 How many students chose snakes?

3 How many more students chose giraff es than lions?

4 How many fewer students chose lions than apes?

Example

Some third graders went on a field trip to the zoo. They voted for their favorite animals. The pictograph shows their choices. How many students chose giraffes as their favorite?

The key shows that each picture stands for 4 students. The row for giraffes has 4 pictures.

You can add 4 four times: 4 1 4 1 4 1 4 5 16.You can multiply 4 by 4: 4 3 4 5 16. So, 16 students chose giraffes.

Vocabularykey explanation of what

each symbol represents

in a pictograph.

scale the numbers that

show the units used on a

graph.

Snakes

Apes

Lions

Giraffes

Each stands for 4 students.

Favorite Zoo Animals

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12

28

4

20

Possible work: 3 3 4 5 12

Possible work: 7 3 4 5 28

Possible work: 4 2 3 5 1 and 1 3 4 5 4

Possible work: 8 2 3 5 5 and 5 3 4 5 20

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©Curriculum Associates, LLC Copying is not permitted.268 Lesson 24 Solve Problems Using Scaled Graphs

Use the bar graph to solve problems 3–5. Fill in the blanks. Show your work.

The bar graph shows what students in Ms. Owens’ class bought for lunch one day.

Sandwich

Salad

Hot Lunch

Pizza

0

Lunches Bought

Typ

e o

f Lu

nch

Number of Students

2 4 6 8 10

3 Students bought the same number of pizza lunches as and together.

4 The number of salads bought is 2 less than the number of bought.

5 Make your own statement about the data in the graph. Tell how you know your statement is true.

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salad hot lunch

sandwiches

Possible answer: Students in Ms. Owens’ class bought a total of 28 lunches that day.

8 1 6 1 4 1 10 5 28

Possible work: 6 is 2 less than 8. 8 is the number of sandwiches.

Possible work: 6 salads + 4 hot lunches = 10 lunches

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©Curriculum Associates, LLC Copying is not permitted. 267Lesson 24 Solve Problems Using Scaled Graphs

Name: Lesson 24

Read and Interpret Bar Graphs

Study the example problem showing how to read and interpret a bar graph. Then solve problems 1–5.

Use the bar graph above to solve problems 1 and 2. Show your work.

1 How many cartons of milk were sold on the two days with the least number of cartons?

2 How many cartons of milk were sold in all that week?

Example

The bar graph shows the number of cartons of milk sold in one week. Were more cartons sold on Monday and Tuesday or on Wednesday and Thursday?

Look where the bars end. Read the scale on the left side of the graph: Monday 5 60, Tuesday 5 90, Wednesday 5 100, Thursday 5 70.

60 1 90 5 150 and 100 1 70 5 170

More cartons of milk were sold on Wednesday and Thursday than on Monday and Tuesday.

100908070605040302010

0Monday Tuesday Wednesday Thursday Friday

Cartons of Milk Sold in the Cafeteria

Day

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110 cartons; Monday 5 60 and Friday 5 50; 60 1 50 5 110

370 cartons of milk; 60 1 90 1 100 1 70 1 50 5 370

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©Curriculum Associates, LLC Copying is not permitted.270 Lesson 24 Solve Problems Using Scaled Graphs

4 What two colors of paint have at least 20 jars altogether? List two diff erent pairs of colors.

Use the bar graph to solve the problems.

Ms. Duddy counted the jars of paint that are in the art room. She made a bar graph to show the data.

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12

9

6

3

0Red Yellow Blue White

Paint Jars in Art Room

Nu

mb

er o

f Ja

rs

Paint Color

3 Tell whether each sentence is True or False.

a. There are as many jars u True u Falseof blue paint as jars of red and white paint combined.

b. There are more than u True u False40 jars of paint in all.

c. There are fewer jars of u True u Falseyellow and red paint than blue and white paint.

You may want to label and keep track of the computations you do.

“At least 20” means 20 or more than 20.

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Possible answer: red and yellow: 9 1 12 5 21;

yellow and blue: 12 1 15 5 27

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Name:

2 How many gloves and rulers are used? Circle the letter of the correct answer.

A 7 C 40

B 10 D 70

Leo chose A as the correct answer. How did he get that answer?

1 Which two items total 100? Circle the letter for all that apply.

A masks and rulers C blocks and gloves

B flashlights and D masks and blocks flashlights

Lesson 24

How can you use addition facts to help find the answer?

Look at the key to understand what the symbols mean.

Solve Problems Using Scaled Graphs

Use the pictograph to solve the problems.

Mr. Green’s science class does shadow experiments. The pictograph shows the items they use.

Rulers

Masks

Flashlights

Blocks

Gloves

Materials for Shadow Experiments

Each stands for 10 items.

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Possible answer: He added 4 1 3 5 7, but he

did not multiply 7 by 10.

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