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Chapter 8 Name 4. Molly is baking for the Moms and Muffins event at her school.

Review/Test
She will bake 4 batches of banana muffins. She needs 1 3_4 cups of
Personal Math Trainer
Chapter 8 Review/Test Online Assessment
and Intervention
bananas for each batch of muffins.
Part A
1. What are the next four multiples of 1_8 ? Molly completed the multiplication below and said she needed
8 cups of bananas for 4 batches of muffins. What is Molly’s error?
2, 3
_ _, 4
_, 5
_ 4 × 13_ = 4 × 8_ = 32
__ = 8
8 8 8 8 4 4 4

Possible explanation: Molly did not write the mixed

number, 13_, as a fraction correctly. 13
_ is not equal to 8
_.

Summative Assessment
4 4 4

Personal Math Trainer Part B

Use the Chapter Review/Test 2. SMARTER Marta is making 3 servings of fruit salad.
She adds 3_8 cup blueberries for each serving. Her measuring
What is the correct number of cups Molly needs for 4 batches of
muffins? Explain how you found your answer.
to assess students’ progress in cup holds 1_8 cup. How many times must Marta measure 1_8 cup
of blueberries to have enough for the fruit salad? Shade the 7 cups; possible explanation: first I wrote 1 3_4 as a fraction.

Chapter 8. 1 3_4 ∙ 4_4 ∙ 3_4 ∙ 7_4 ; then, I multiplied 4 ∙ 7_4 ∙ 28

models to show your answer. __ ∙ 7.
4

1 1 1 1 1 1 1 1
8 8 8 8 8 8 8 8
You may want to review with 1 1 1 1 1 1 1 1
5. Which fraction is a multiple of 91_ ? Mark all that apply.
3
_ 9 2
8 8 8 8 8 8 8 8 __ _
students the essential question for 1 1 1 1 1 1 1 1 4
_
9 12
9
__
9
9
_

the chapter. 8 8 8 8 8 8 8 8 9 10 9

9 6. Mimi recorded a soccer game that lasted 1 2_3 hours. She watched it
Marta must measure 1_8 cup times. 3 times over the weekend to study the plays. How many hours did
Mimi spend watching the soccer game? Show your work.
Chapter Essential Question 3. Mickey exercises 3_4 hour every day. How many hours does he
exercise in 8 days? 5 hours; 12 5 ∙ 3 ∙ __
_∙3∙_ 15 ∙ 5
3 3 3

How do you multiply fractions by 6

hours

whole numbers? 7. Theo is comparing shark lengths. He learned that a horn shark is
2 3_4 feet long. A blue shark is 4 times as long. Complete the model.

© Houghton Mifflin Harcourt Publishing Company

© Houghton Mifflin Harcourt Publishing Company

© Houghton Mifflin Harcourt Publishing Company

Then find the length of a blue shark.

Ask the following question to focus Horn Shark 2 43
students’ thinking.
Blue Shark 2 43 2 43 2 43 2 43

• How can you write a product of Assessment Options

A blue shark is 11 feet long.

a whole number and a fraction Chapter Test

Chapter 8 487
488

as a product of a whole number 4_MNLESE342262_C08RT.indd 488 2/15/14 3:34 PM

and a unit fraction?

4_MNLESE342262_C08RT.indd 487 01/03/14 2:01 PM

Chapter 8
3

Data-Driven Decision Making 2

1
Based on the results of the Chapter Review/Test use the
following resources to review skills.

Personal
Item Lesson Standard Content Focus Intervene with
Math Trainer

1, 5, 10 8.1 4.NF.B.4a Identify multiples of unit fractions. 4.NF.B.4a R—8.1

19, 21 8.2 4.NF.B.4b Understand a fraction ​ _ba ​as a multiple of ​ _b1 ​. 4.NF.B.4b R—8.2

3, 4, 6, 9, 11, Multiply a fraction or mixed number

13, 14, 15, 8.4 4.NF.B.4c 4.NF.B.4c R—8.4
by a whole number.
16, 18, 20
Draw a diagram to solve comparison problems
7, 17 8.5 4.NF.B.4c 4.NF.B.4c R—8.5
with fractions.
Use a visual model to multiply a fraction by a
2, 8, 12 8.3 4.NF.B.4b 4.NF.B.4b R—8.3
whole number.
Key: R—Reteach (in the Chapter Resources)

487–488 Chapter 8
 Name 12. Asta made a fraction number line to help her find 3 × 4_5 .
8. Joel made a number line showing the multiples of 3_5 .

Performance
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 10 11 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5
Select a way to write 3 × 4_5 as the product of a whole number

Assessment Task
6
_
The product 2 × 3_5 is shown by the fraction 5 and a unit fraction.
on the number line.
4 × 3_

Chapter 8
9. Bobby has baseball practice Monday, Wednesday, and Friday. 5
Each practice is 2_1 hours. Bobby says he will have practice for 3 × 4_ = 12 × 1_5
2 5
4 hours this week.
6 × 1_5
Part A See the Chapter Resources for a
Without multiplying, explain how you know Bobby is incorrect. 13. Yusif wants to give 1_ of his total toy car collection to each of 2 of his
3
friends. How much of his total toy car collection will he give away?
Performance Task that assesses

Chapter 8 Review/Test
Possible explanation: Bobby needs to find 3 × 2 1_2 . If he
estimates 3 × 2 hours, he finds the practice is at least 2
_
students’ understanding of the
6 hours; 6 is greater than 4, so Bobby is incorrect. 3
content of this chapter.
Part B

How long will Bobby have baseball practice this week? Write your
answer as a mixed number. Show your work.
For each task, you will find
_=3×5
7 1_2 hours; 3 × 21
2
_ = 15
2
__ = 71
2
_
2
sample student work for each
14. Select the correct product for the equation.
of the response levels in the
10. Look at the number line. Write the missing fractions.
8
16
32
8
16
8
20
8
task scoring rubric.
0 1 2 20 16
4 × 5_ = __ 4 × 4_ = __
1 2 3 4 5 6 7 8 9 10 11 12
6 6 6 6 6 6 6 6 6 6 6 6
8 8 8 8
Performance
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© Houghton Mifflin Harcourt Publishing Company

11. Ana’s dachshund weighed 5 5_8 pounds when it was born.
5 5_8 4 5 6
Assessm
Assessment Tasks may be
By age 4, the dog weighed 6 times as much. Fill each box
with a number or symbol from the list to show how to used for portfolios.
find the weight of Ana’s dog at age 4. Not all numbers 6 _58 + = ×
and symbols may be used.

weight = 6 × 55
_
8
Be sure to assign
Chapter 8 489 490 students Exercise 2 in
the Personal Math Trainer. It
features an animation or video
to help students model and
solve the problem.

Name 18. Mrs. Burnham is making modeling clay for her class. She needs
2_ cup of warm water for each batch.
15. The lengths of different types of snakes at a zoo 3
Snake’s Name Type of Snake Length
are shown in the table.
Part A
Kenny Kenyan Sand Boa 11_ feet
2
For numbers 15a–15d, select True or False for
Bobby Ball Python 41_ feet
Mrs. Burnham has a 1-cup measure that has no other markings.
the statement. 2
Can she make 6 batches of modeling clay using only the 1-cup
15a. Bobby is 4 times Puck Blood Python 71_ feet measure? Describe two ways you can find the answer.
2
as long as Kenny. True False
Yes; possible explanation: she needs 6 × 2_3 cups of water.
15b. Bobby is 3 times I can use a number line to make 6 jumps of 2_3 . The last
as long as Kenny. True False jump ends at 12 __ or 4. I could also list the first 6 multiples
3
of 2_3 : 2_3 , 4_3 , 6_3 , 8_3 , 10
__ , 12
__ __
12
3 3 . The sixth multiple is 3 , which is
15c. Puck is 5 times
4 whole cups. She can use the 1-cup measure 4 times to
as long as Kenny. True False
make 6 batches.
15d. Puck is 2 times
as long as Bobby. True False Part B

The modeling clay recipe also calls for 21_ cup of cornstarch. Nikki
16. Hank used 3 1_2 bags of seed to plant grass in his front yard. He used says Mrs. Burnham will also need 4 cups of cornstarch. Do you
3 times as much seed to plant grass in his back yard. How much agree or disagree? Explain.
seed did Hank need for the backyard?
101
_
I disagree; possible explanation: 6 × 1_2 = 6_2 or 3. She needs
2 bags
3 cups of cornstarch, not 4.
17. Jess made a big kettle of rice and beans. He used 1 1_2 cups of beans.
He used 4 times as much rice.
19. Donna buys some fabric to make place mats. She needs 1_5 yard of
Part A each type of fabric. She has 9 different types of fabrics to make her
design. Use the following equation. Write the number in the box to
Draw a model to show the problem.
make the statement true.
9_ = 9 × 1_
rice 1 21 1 21 1 21 1 21 5 5

beans 1 21 20. Mr. Tuyen uses 5_8 of a tank of gas each week to drive to and from
his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
Write your answer two different ways.
Part B 25
__ 31_
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© Houghton Mifflin Harcourt Publishing Company

Mr. Tuyen uses 8 or 8 tanks of gas.

Use your model to write an equation. Then solve the equation to
find the amount of rice Jess needs.
21. DEEPER Rico is making 4 batches of salsa. Each batch needs
2_ cup of corn. He only has a 1_ -cup measure. How many times
r = 4 × 11
_=4×3 _ = 12
__ = 6
3 3
2 2 2
So, Jess needs 6 cups of rice. must Rico measure 1_3 cup of corn to have enough for all of
the salsa?
8 times

Chapter 8 491 492

Chapter 8 Review/Test 489–492