Grade 4 Unit 1 Module 3 Practice Pages for Math at Home

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The Bridges Second Edition Module Packets, available from the Home Learning Resources page of the Bridges Educator Site, are designed to provide a review of math topics that were covered in class prior to school closures. They are meant for teachers

to send home, so students can continue to engage with key grade-level skills. The material in these packets includes exercises that can be completed by students at home with their families.

Grade 4 Unit 1 Module 3Practice Pages for Math at Home

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 29

Session 1

Product Wheels

1 Fill in the outer rings for each product wheel.

3

3 72

8

910

46

5

6

3 72

8

910

46

5

2 Compare the two product wheels for 3 and 6 above. What pattern do you notice?

3 Fill in the empty sections of the product wheel below.

5

3 435

10

45

50

86

5

4 Circle the prime numbers in the product wheel for problem 3.

Unit 1 Module 3

NAME | DATE


Session 2

Multiplication & Division Facts

1 Solve the problems below.8 4 7 5 3 2 0

× 3 × 4 × 6 × 6 × 8 × 9 × 1

1 6 9 10 5 7 6× 8 × 6 × 4 × 4 × 3 × 9 × 8

63 ÷ 7 = _______ 42 ÷ 7 = _______ 36 ÷ 4 = _______ 20 ÷ 5 = _______

16 ÷ 8 = _______ 18 ÷ 3 = _______ 6 ÷ 3 = _______ 14 ÷ 2 = _______

2 Circle all the prime numbers in problem 1 (including your answers).

3 Complete the equations. 6 4 5 8 8

× 3 × 5 × 7 × 4 × 8

3×

6

2×

10

× 515

× 840

9×

72

4 How can you use the answer to 4 × 8 to solve 4 × 16? Draw an array and then use numbers or words to explain your answer.

Unit 1 Module 3

NAME | DATE


Session 3

Drawing Comparisons & Writing EquationsYou will need a ruler marked in centimeters to do some of these problems.

1 In the space below, draw a horizontal line that is exactly 5 centimeters long. Below that line, draw another horizontal line that is exactly 3 times as long as the first. Write a multiplication equation that gives the length of each line and tells how many times longer the second line is than the first.

My equation

2 Here are two lines. Use them to answer the questions below.A

B

a If you just look at both lines, how many times as long is line B than line A? Make an estimate without measuring the lines. It looks like line B is _______ times as long as line A.

b Now measure and label both lines in centimeters. How many times as long is line B than line A? Write an equation to show.

My equation

3 Adam Ant crawled 7 centimeters. Angela Ant crawled twice as far as Adam. Measure, draw, and label a line to show how far Angela Ant crawled.

Unit 1 Module 3

NAME | DATE


Session 4

More Multiplicative Comparisons

1 The equation 45 = 5 x 9 can mean (fill in the bubble beside every true sentence): N 45 is the same as 5 groups of 9 N 45 is 5 times as many as 9 N 45 is 5 less than 9 N 45 is the same as 9 groups of 5

2 Fill in the bubbles beside the two equations that best represent this situation: Dante has 36 baseball cards. That is 4 times as many as his friend, Andrew, has. How many baseball cards does Andrew have? (In the equations below, b stands for Andrew’s baseball cards.)

N 4 × b = 36 N 36 × 4 = b N 36 + 4 = b N 36 ÷ b = 4

3 Write and solve an equation for each of these problems.

a Sara is 12 years old. Sara’s mom is 3 times older than Sara. How old is Sara’s mom?

b David bought a jacket and a T-shirt. The jacket cost 4 times as much as the T-shirt. The T-shirt cost $20. How much did the jacket cost?

c Jenny bought a book and a DVD. The book cost $21. That was 3 times more than the DVD. How much did the DVD cost?

4 CHALLENGE Daniel rode his bike 5 kilometers. His friend, Briana, rode 8 times as far. Her friend, Ted, rode half as far as Briana. How far did Ted ride? Show all your work.

Unit 1 Module 3

NAME | DATE


Session 5

All in the Family

1 Fill in the missing number in each triangle. Then write the facts in the fact family.ex

16

2 8

a

21

7

b

5 6

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

c

48

6

d

8 4

e

18

3

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

2 CHALLENGE Use multiplication and division to find the secret path through each maze. You can only move one space up, down, over, or diagonally each time. Write two equations to explain the path through the maze.

ex start

end3

24 48

6

a start

end81

9 93

3

b start

end

32

4 87

283 × 8 = 2424 ÷ 6 = 4

2 8 16

8 2 16

16 8 2

16 2 8

Unit 1 Module 3

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 13

Session 2

Multiples, Flowers & Cards page 1 of 2

1 When you count by a number, you are naming the multiples of that number. For example, if you skip-count by 5s, you are naming the multiples of 5: 5, 10, 15, 20, 25, and so on. In each sequence below, fill in the missing multiples.

ex 5, 10, 15, _____, 25, 30, _____ a 3, 6, _____, 12, 15, 18, _____, 24

b 6, _____, 18, _____, 30 c 9, 18, _____, 36, 45, _____, 63

2 Circle all the multiples of the number in each box.

ex 5 16 20 15 42 36 45 18 a 2 5 6 7 8 14 21 10

b 4 8 6 14 16 20 28 19 c 7 22 33 21 14 16 42 35

d 8 28 32 48 16 60 72 19 e 3 21 35 18 36 44 12 29

3 Fill in the missing numbers.9 3 4 2 7

× 9 × 9 × 4 × 6 × 8

3 ×

24

7 ×

14× 530

× 436

3 ×

12

6 6 6 6 6× 2 × 4 × 8 × 16 × 32

20 35

Unit 1 Module 3

NAME | DATE

(continued on next page)


4 Four friends were making cards to sell at the holiday sale. Each friend made 9 cards. They put all their cards together and then bundled them in groups of 6 cards to sell. How many bundles of 6 cards did they make? Show all your work.

5 CHALLENGE Zack measured a rectangular garden at the park. The longer sides each measured 15 feet and were 3 times longer than the shorter sides. If Zack walked all the way around the garden, how far did he walk?

Session 2


Unit 1 Module 3

NAME | DATE


Session 4

Arrays & Factors page 1 of 2

1 Draw and label a rectangular array to show two factors for each number. Do not use 1 as a factor. Then write the fact family that goes with each array that you draw.ex 8 a 16 b 18

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

2 List all the factors of each number below.

ex 121, 2, 3, 4, 6, 12

a 16

b 17 c 24

d 9 e 36

3 Circle the prime number(s) in problem 2.

a Draw a square around the square number(s) in problem 2.

2

4

2

2

2

2

4

4

4

4

8

8

8

8

Unit 1 Module 3

NAME | DATE



4 Is the number 25 prime or composite? How do you know?

5 Judy has a collection of 30 stamps. She can divide the stamps into 2 equal groups of 15 stamps. What are two other ways she could divide the stamps into equal groups?

6 CHALLENGE Judy’s brother Sam has a collection of 96 comic books. What are the ten ways Sam could divide his comic books into equal groups?

Session 4


Unit 1 Module 3

NAME | DATE

Answer Keys


Session 1

Product Wheels

1 Fill in the outer rings for each product wheel.

3

3 72

8

910

46

5

6

3 72

8

910

46

5

2 Compare the two product wheels for 3 and 6 above. What pattern do you notice?

3 Fill in the empty sections of the product wheel below.

5

3 435

10

45

50

86

5

4 Circle the prime numbers in the product wheel for problem 3.

Answer Key

9 18

15

109 7

2

21 42

20

6 12

12 24

40

24 4818 36

30

15 30

25

27 54

30 60

Responses will vary.

See answers above.

Unit 1 Module 3

NAME | DATE


Session 2

Multiplication & Division Facts

1 Solve the problems below.8 4 7 5 3 2 0

× 3 × 4 × 6 × 6 × 8 × 9 × 1

1 6 9 10 5 7 6× 8 × 6 × 4 × 4 × 3 × 9 × 8

63 ÷ 7 = _______ 42 ÷ 7 = _______ 36 ÷ 4 = _______ 20 ÷ 5 = _______

16 ÷ 8 = _______ 18 ÷ 3 = _______ 6 ÷ 3 = _______ 14 ÷ 2 = _______

2 Circle all the prime numbers in problem 1 (including your answers).

3 Complete the equations. 6 4 5 8 8

× 3 × 5 × 7 × 4 × 8

3×

6

2×

10

× 515

× 840

9×

72

4 How can you use the answer to 4 × 8 to solve 4 × 16? Draw an array and then use numbers or words to explain your answer.

Answer Key

24

89

18

2

Responses and explantations will vary. Example:

20

5

16

+

35

3

32

5

64

8

266

92

47

16

36

42

36

30

40

24

15

18

63

0

48

84 4 × 8 = 32

8 84 32 32

Just double it,like this

32 + 32 = 64 so 4 × 16 = 64

Unit 1 Module 3

NAME | DATE


Session 3

Drawing Comparisons & Writing EquationsYou will need a ruler marked in centimeters to do some of these problems.

1 In the space below, draw a horizontal line that is exactly 5 centimeters long. Below that line, draw another horizontal line that is exactly 3 times as long as the first. Write a multiplication equation that gives the length of each line and tells how many times longer the second line is than the first.

My equation

2 Here are two lines. Use them to answer the questions below.A

B

a If you just look at both lines, how many times as long is line B than line A? Make an estimate without measuring the lines. It looks like line B is _______ times as long as line A.

b Now measure and label both lines in centimeters. How many times as long is line B than line A? Write an equation to show.

My equation

3 Adam Ant crawled 7 centimeters. Angela Ant crawled twice as far as Adam. Measure, draw, and label a line to show how far Angela Ant crawled.

Answer Key

3 × 5 = 15 cm

4 × 3 = 12

15 cm

14 cm

5 cm

3 cm12 cm

Estimate will vary.

4 times as long

Unit 1 Module 3

NAME | DATE


Session 4

More Multiplicative Comparisons

1 The equation 45 = 5 x 9 can mean (fill in the bubble beside every true sentence): N 45 is the same as 5 groups of 9 N 45 is 5 times as many as 9 N 45 is 5 less than 9 N 45 is the same as 9 groups of 5

2 Fill in the bubbles beside the two equations that best represent this situation: Dante has 36 baseball cards. That is 4 times as many as his friend, Andrew, has. How many baseball cards does Andrew have? (In the equations below, b stands for Andrew’s baseball cards.)

N 4 × b = 36 N 36 × 4 = b N 36 + 4 = b N 36 ÷ b = 4

3 Write and solve an equation for each of these problems.

a Sara is 12 years old. Sara’s mom is 3 times older than Sara. How old is Sara’s mom?

b David bought a jacket and a T-shirt. The jacket cost 4 times as much as the T-shirt. The T-shirt cost $20. How much did the jacket cost?

c Jenny bought a book and a DVD. The book cost $21. That was 3 times more than the DVD. How much did the DVD cost?

4 CHALLENGE Daniel rode his bike 5 kilometers. His friend, Briana, rode 8 times as far. Her friend, Ted, rode half as far as Briana. How far did Ted ride? Show all your work.

Answer Key

12 × 3 = 36 or 3 × 12 = 3636 years old

20 × 4 = 80 or 4 × 20 = 80$80

21 ÷ 3 = 7 or 3 × 7 = 21 or 7 × 3 = 21$7

20 kilometers; work will vary.

Unit 1 Module 3

NAME | DATE


Session 5

All in the Family

1 Fill in the missing number in each triangle. Then write the facts in the fact family.ex

16

2 8

a

21

7

b

5 6

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

c

48

6

d

8 4

e

18

3

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

_______ × _______ = _______

_______ × _______ = _______

_______ ÷ _______ = _______

_______ ÷ _______ = _______

2 CHALLENGE Use multiplication and division to find the secret path through each maze. You can only move one space up, down, over, or diagonally each time. Write two equations to explain the path through the maze.

ex start

end3

24 48

6

a start

end81

9 93

3

b start

end

32

4 87

283 × 8 = 2424 ÷ 6 = 4

2 8 16

8 2 16

16 8 2

16 2 8

Answer Key

37

8 8 38

326

5

21

48 32 18

303

6 4 6

6

21

48 32 18

30

3

6 4 6

6

3

8 8 3

57

8 8 3

5

7

6 4 6

6

21

48 32 18

30

7

6 4 6

621

48 32 18

30

3

8 8 3

5

30

81 ÷ 9 = 9 9 ÷ 3 = 3

32 ÷ 8 = 4 4 × 7 = 28

Unit 1 Module 3

NAME | DATE


Session 2


1 When you count by a number, you are naming the multiples of that number. For example, if you skip-count by 5s, you are naming the multiples of 5: 5, 10, 15, 20, 25, and so on. In each sequence below, fill in the missing multiples.

ex 5, 10, 15, _____, 25, 30, _____ a 3, 6, _____, 12, 15, 18, _____, 24

b 6, _____, 18, _____, 30 c 9, 18, _____, 36, 45, _____, 63

2 Circle all the multiples of the number in each box.

ex 5 16 20 15 42 36 45 18 a 2 5 6 7 8 14 21 10

b 4 8 6 14 16 20 28 19 c 7 22 33 21 14 16 42 35

d 8 28 32 48 16 60 72 19 e 3 21 35 18 36 44 12 29

3 Fill in the missing numbers.9 3 4 2 7

× 9 × 9 × 4 × 6 × 8

3 ×

24

7 ×

14× 530

× 436

3 ×

12

6 6 6 6 6× 2 × 4 × 8 × 16 × 32

20 35

Answer Key

12

81

12

8

27

24

2

16

48

6

12

96

9

56

192

4

24 27

9

54

21

Unit 1 Module 3

NAME | DATE



4 Four friends were making cards to sell at the holiday sale. Each friend made 9 cards. They put all their cards together and then bundled them in groups of 6 cards to sell. How many bundles of 6 cards did they make? Show all your work.

5 CHALLENGE Zack measured a rectangular garden at the park. The longer sides each measured 15 feet and were 3 times longer than the shorter sides. If Zack walked all the way around the garden, how far did he walk?

Session 2


Answer Key

6 bundles

40 feet

Unit 1 Module 3

NAME | DATE


Session 4


1 Draw and label a rectangular array to show two factors for each number. Do not use 1 as a factor. Then write the fact family that goes with each array that you draw.ex 8 a 16 b 18

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

______ × ______ = ______

______ × ______ = ______

______ ÷ ______ = ______

______ ÷ ______ = ______

2 List all the factors of each number below.

ex 121, 2, 3, 4, 6, 12

a 16

b 17 c 24

d 9 e 36

3 Circle the prime number(s) in problem 2.

a Draw a square around the square number(s) in problem 2.

2

4

2

2

2

2

4

4

4

4

8

8

8

8

Answer Key

Work will vary. Example:

Work will vary. Example:

2 3

8 6

16 18

16

17

9, 16, 36

18

8 6

2 3

8 6

2 3

16 18

16 18

2 3

8 6

8

2

6

3

1, 2, 4, 8, 16

1, 17 1, 2, 3, 4, 6, 8, 12, 24

1, 3, 9 1, 2, 3, 4, 6, 9, 12, 18, 36

Unit 1 Module 3

NAME | DATE



4 Is the number 25 prime or composite? How do you know?

5 Judy has a collection of 30 stamps. She can divide the stamps into 2 equal groups of 15 stamps. What are two other ways she could divide the stamps into equal groups?

6 CHALLENGE Judy’s brother Sam has a collection of 96 comic books. What are the ten ways Sam could divide his comic books into equal groups?

Session 4


Answer Key

Composite. Work will vary, Example: it has 3 factors. 1, 5, 25.

Work will vary, Example: 3 groups of 10 (or 10 groups of 3)5 groups of 6 (or 6 groups of 5)15 groups of 2

2 groups of 48 (48 groups of 2)3 groups of 32 (32 groups of 3)4 groups of 24 (24 groups of 4)6 groups of 16 (16 groups of 6)8 groups of 12 (12 groups of 8)

Unit 1 Module 3

NAME | DATE

Grade 4 Unit 1 Module 3 Practice Pages for Math at Home

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