1

2

3

Data-Driven Decision Making

254

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

5. Circle groups to show 3 × (2 × 3).

6. Dale keeps all of his pairs of shoes in his closet. Select the number of shoes that Dale could have in his closet. Mark all that apply.

A 3 D 7

B 4 E 8

C 6

7. DEEPER Lisa completed the table to describe the product of a mystery one-digit factor and each number.

× 1 2 3 4 5

? even even even even even

Part A

Give all of the possible numbers that could be Lisa’s mystery one-digit factor.

Part B

Explain how you know that you have selected all of the correct possibilities.

Possible explanation: Because the products all are even, the

mystery factor must also be an even number. I have selected

all of the even one-digit numbers.

2, 4, 6, 8

Personal Math TrainerOnline Assessment and Intervention

Assessment OptionsChapter Test

Chapter 4 253

Name

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

1. Mrs. Ruiz sorted spools of thread into 4 boxes. Each box holds 5 spools. How many spools of thread does Mrs. Ruiz have?

Draw circles to model the problem. Then solve.

2. For numbers 2a–2d, select True or False for each multiplication sentence.

2a. 2 × 8 = 16 True False

2b. 5 × 8 = 40 True False

2c. 6 × 8 = 56 True False

2d. 8 × 8 = 64 True False

3. Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal entries on them. If Bella wants to make 10 entries, how many different ways can she write them in her journal?

4 different ways; (2 × 4) + (1 × 2) = 10; (2 × 3) + (1 × 4) = 10; (2 × 2) + (1 × 6) = 10; (2 × 1) + (1 × 8) = 10

4. There are 7 days in 1 week. How many days are there in 4 weeks?

__ days

Chapter 4 Review/Test

20 spools; possible explanations: students may multiply 4 × 5,

or count by fi ves, or multiply 2 × 5 = 10 and double the product.

28

253–254 Chapter 4

Summative AssessmentUse the Chapter Review/Test to assess students’ progress in Chapter 4.

You may want to review with students the Essential Question for the chapter.

Chapter Essential QuestionWhat strategies can you use to multiply?

Ask the following questions to focus students’ thinking:

• How are patterns and multiplication related?

• How can multiplication properties help you find products?

• What types of problems can be solved by using multiplication?

Chapter 4

Review/Test

Key: R—Reteach (in the Chapter Resources)

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

Chapter 4

Item Lesson Standard Content FocusPersonal

Math TrainerIntervene with

1, 6 4.1 3.OA.A.3 Multiply with 2 and 4. 3.OA.A.3 R—4.1

2, 8, 23 4.8 3.OA.C.7 Multiply with 8. 3.OA.C.7 R—4.8

3, 12 4.10 3.OA.D.8 Use multiplication to solve problems. 3.OA.D.8 R—4.10

4, 17 4.5 3.OA.C.7 Multiply with 7. 3.OA.C.7 R—4.5

5, 15, 21 4.6 3.OA.B.5 Use the Associative Property of Multiplication. 3.OA.B.5 R—4.6

7, 22 4.7 3.OA.D.9 Use patterns in the multiplication table. 3.OA.D.9 R—4.7

9, 18 4.2 3.OA.A.3 Multiply with 5 and 10. 3.OA.A.3 R—4.2

10, 16, 19 4.4 3.OA.B.5 Use the Distributive Property. 3.OA.B.5 R—4.4

11, 14 4.9 3.OA.C.7 Multiply with 9. 3.OA.C.7 R—4.9

13, 20 4.3 3.OA.A.3 Multiply with 3 and 6. 3.OA.A.3 R—4.3

Teacher Note: Exercise 7, Part A: Some students may include 0 in their answer.

256

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

13. A carpenter builds stools that have 3 legs each. How many legs does the carpenter use to build 5 stools? Use the array to explain how you know your answer is correct.

14. Etta buys some ribbon and cuts it into 7 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought?

__ inches

15. Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack.

Write a multiplication sentence that shows the total number of pennies.

16. Luke is making 4 first-aid kits. He wants to put 3 large and 4 small bandages in each kit. How many bandages does he need for the kits? Show your work.

__ bandages

4 × (3 × 5) = 60

63

28

15 legs; possible explanation: I circled 3 rows of 5,

3 × 5 = 15. Then I counted by fi ves to check.

Name©

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Chapter 4 255

8. Kate drew 7 octagons. An octagon has 8 sides. How many sides did Kate draw?

__ sides

9. José buys 6 bags of flour. Each bag weighs 5 pounds. How many pounds of flour did José buy?

__ pounds

10. Break apart the array to show 8 × 6 = (4 × 6) + (4 × 6).

11. Circle the symbol that makes the multiplication sentence true.

9 × 6

>

<

=

3 × (3 × 9)

12. Roberto wants to make $2.00 using dollars, half dollar, and quarters. How many different ways can he make $2.00?

__ different ways

56

30

9

Personal Math Trainer

258

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

22. SMARTER Louis started a table showing a multiplication pattern.

Part A

Complete the table. Describe a pattern you see in the products.

× 1 2 3 4 5 6 7 8 9 10

3 3 6 9 12 15 18 21 24 27 30

Part B

If you multiplied 3 × 37, would the product be an even number or an odd number? Use the table to explain your reasoning.

23. Use the number line to show the product of 4 × 8.

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 3620

4 × 8 = __

Possible explanation: when an even number is multiplied by

3 (an odd number), the product is even. When an odd number

is multiplied by 3, the product is odd, so the product of

3 × 37 would be odd.

Possible answer: a pattern is to add 3 to a product to get the

next product.

32

Name

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Chapter 4 257

17. For numbers 17a–17d, select True or False for each equation.

17a. 3 × 7 = 21 True False

17b. 5 × 7 = 28 True False

17c. 8 × 7 = 49 True False

17d. 9 × 7 = 63 True False

18. Circle the number that makes the multiplication sentence true.

10 ×

4

5

8

= 40

19. For numbers 19a–19d, select Yes or No to indicate whether the sum or product is equal to 8 × 6.

19a. 8 + (4 × 2) = ■ Yes No

19b. (8 × 4) + (8 × 2) = ■ Yes No

19c. (6 × 4) + (6 × 2) = ■ Yes No

19d. 6 × (4 + 4) = ■ Yes No

20. Chloe bought 4 movie tickets. Each ticket cost $6. What was the total cost of the movie tickets?

$ __

21. Write a multiplication sentence using the following numbers and symbols.

6 60 5 2 ( ) =

24

Possible answer: 6 × (2 × 5) = 60

Chapter 4 Review/Test 255–258

Ch

apter 4 R

eview/Test

Performance Assessment TaskSee the Chapter Resources for a Performance Task that assesses students’ understanding of the content of this chapter.

For each task, you will find sample student work for each of the response levels in the task scoring rubric.

Performance Assessment Tasks may be used for portfolios

Be sure to assign students Exercise 22 in

the Personal Math Trainer. It features an animation or video to help students model and solve the problem.