grade 5 unit 5 module 1 practice pages for math at home€¦ · 1 anna is playing target one...

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Page 1: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© 2020 The Math Learning Center | mathlearningcenter.orgThe Math Learning Center grants permission to learners, families, and educators to reproduce these

documents in appropriate quantities for educational use. While you may link to these resources, any other redistribution requires written permission.

Grade 5 Unit 5 Module 1Practice Pages for Math at Home

Page 2: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 167

Session 2

Target One FractionsIn Target One Fractions, players choose 3 numbers to create a whole number and a fraction that have a product close to 1. Their score is the difference between their product and 1.

1 Claudia is playing Target One Fractions. She has these cards: 2, 3, 5, 5, 8. Help Claudia by choosing 3 cards and writing an equation she will solve.

2 Ernesto is playing Target One Fractions. He chose these cards: 2, 3, 8. He made the problem 8 ×

23 .

a What is 8 × 23 ? Show your work.

b What is Ernesto’s score? _______

c How else could you arrange the numbers?

d What would your product be? Show your work.

e What is your score? _______

f What is the difference between your score and Ernesto’s? Show your work.

Unit 5 Module 1

NAME | DATE

Page 3: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 170

Session 3

Fractions of Wholes

1 Find the product.

a 14 of 7 = ____ b 1

5 × 25 = ____ c 13 of 36 ____

d 34 of 7 = ____ e 4

5 × 25 = ____ f 23 × 36 ____

2 True or False?

a 34 × 11 = 8 1

4 T F b 35 of 20 = 15 T F c 2

5 of 30 = 18 T F

d 16 × 15 = 16

5 T F e 26 × 21 = 7 T F f 24 × 2

3 = 483 T F

3 Madeline read 23 of her favorite book on the car ride to her grandparents’ house.

If the book had 225 pages, how many pages of the book has she read?

4 Theo entered a race that required him to ride his bike 54 kilometers and run 16 as

far as he bikes.

a How many kilometers will Theo run?

b How many meters will he run?

Unit 5 Module 1

NAME | DATE

Page 4: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 171

Session 4

Thinking About Strategy

1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2.

a What three cards should she choose to make a whole number and fraction whose product is close to 1?

b Write an equation for the problem Anna will solve.

c Solve the problem.

d What is Anna’s score for this round?

2 Multiply. Hint: Use one of the strategies on the class poster from today’s session.35 × 4 = ____ 4

5 × 3 = ____ 45 × 16 = ____

3 CHALLENGE Morgan thought she would be able to sell 75 plants for the school fundraiser. So far, she has sold 2

3 of her goal. Morgan’s friend Billy has sold 45 of his

goal of 60 plants.

a Make a prediction: which of the two students has sold more plants?

b How many plants has each student sold? Show your work.

Unit 5 Module 1

NAME | DATE

Page 5: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 172

Session 5

Ryan’s Baseball Cards

1 Ryan has 48 baseball cards. He gives some of them away to his friends. Help Ryan figure out how many cards each of his friends will get. Show your work.

a If Ryan gives 14 of his 48 cards to Anna, how many cards does he give Anna?

b If Ryan gives 38 of his 48 cards to Josiah, how many cards does he give Josiah?

c If Ryan gives 26 of his 48 cards to Max, how many cards does he give Max?

d How many cards does Ryan have left? What fraction of his original 48 cards is this?

2 Solve the problems below.

23 + 5

6 = ____ 1 13 – 7

8 = ____ 1 45 + 1 3

10 = ____

16 × 78 = ____ 4

5 × 24 = ____ 27 × 49 = ____

16 18 – 15 3

5 = ____ 208 47 + 201 3

4 = ____ 20 16 – 15 3

5 = ____

Unit 5 Module 1

NAME | DATE

Page 6: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 89

Session 1

Multiplication & Division Review page 1 of 2

1 Complete the following multiplication tables.

a × 2 9 6 5 7 20 40 30

60 120

b × 2 9 6 5 7 20 40 30

40 80

2 Complete the following division tables.

÷ 1,200 900 60 210 1,500 1,800 270 2,400

30 40

3 Solve these multiplication problems using the standard algorithm.

84 58 451 256× 36 × 27 × 32 × 33504

+ 2,5203,024

177 305 573 837× 49 × 64 × 26 × 86

These look like ratio tables to me so I kinda made them look like ratio tables, but in ye old firste editione they were very very different. Should they look like ratio tables or like the multiplication table SB page or...?

1 2

1

Unit 5 Module 1

NAME | DATE

(continued on next page)

Page 7: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 90

4 Whitney's 9 cousins are coming to visit, and she wants to make them each a little gift bag. She wants to put an equal number of little candies in each bag, eat 3 candies herself, and have none left over.

Candy Candies per Bag

Lemon Sours 147

Strawberry Kisses 216

Pineapple Sweets 193

a Which bag of candies should she buy? Show all of your work. Hint: Can you remember a divisibility rule to help?

b How many candies will each cousin get? Show all your work.

Session 1

Multiplication & Division Review page 2 of 2

Unit 5 Module 1

NAME | DATE

Page 8: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 91

Session 3

More Fractions of Wholes page 1 of 2

1 Find the products.

a 14 of 6 = ____ b 1

5 × 30 = ____ c 13 of 27 = ____

d 34 of 6 = ____ e 4

5 × 30 = ____ f 23 × 27 = ____

2 True or False?

a 14 × 9 = 2 1

4 T F b 35 of 25 = 15 T F c 2

5 of 15 = 5 25 T F

d 18 × 15 = 5

18 T F e 26 × 24 = 14 T F f 17 × 1

3 = 173 T F

3 Pete rode his dirt bike 23 of the 150-mile course. How many miles did Pete ride?

Show your work.

4 Kim says that multiplying 14 × 12 is the same as dividing 12 by 4. Do you agree

with Kim? Explain your answer.

Unit 5 Module 1

NAME | DATE

(continued on next page)

Page 9: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 92

Review

5 Round each number to the nearest tenth and hundredth.Number Rounded to the Nearest Tenth Rounded to the Nearest Hundredth

131.094

45.655

934.705

100.550

6 Evaluate each of the following.

a 6 × (5 × 12) = ____ b (18 × 13) + (2 × 13) = ____

c (75 ÷ 3) × 10 = ____ d (117 × 4) − (7 × 4) = ____

7 Six friends had lunch together and decided to split the bill evenly.

a If the bill was $48.60, what was each person’s share? Show your work.

b After tax and tip, the bill totaled $63.00. What was each person’s share? Show your work.

8 CHALLENGE Vivian loves to paint in the evenings after school. She is working on three paintings. She needs 4 brushes, 3 canvases, and 12 small tubes of paint. Brushes cost $0.75 each, canvases cost $5.99 each, and tubes of paint costs $1.89 each.

a Write an expression to determine Vivian’s cost, then solve the problem.

b Help Vivian determine the average cost per painting. Write an expression and then solve the problem.

Session 3

More Fractions of Wholes page 2 of 2

Unit 5 Module 1

NAME | DATE

Page 10: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

Answer Keys

Page 11: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 167

Session 2

Target One FractionsIn Target One Fractions, players choose 3 numbers to create a whole number and a fraction that have a product close to 1. Their score is the difference between their product and 1.

1 Claudia is playing Target One Fractions. She has these cards: 2, 3, 5, 5, 8. Help Claudia by choosing 3 cards and writing an equation she will solve.

2 Ernesto is playing Target One Fractions. He chose these cards: 2, 3, 8. He made the problem 8 ×

23 .

a What is 8 × 23 ? Show your work.

b What is Ernesto’s score? _______

c How else could you arrange the numbers?

d What would your product be? Show your work.

e What is your score? _______

f What is the difference between your score and Ernesto’s? Show your work.

Answer Key

Responses will vary.The numbers that will yield a result closest to 1 are 2, 3, and 5 used in one of the following equations:

2 × 3/5 = 6/5 or 3 × 2/5 = 6/5

16/3 = 5 1/3; work will vary.

4 1/3

Responses will vary. The arrangement that will yield a product closest to 1 is 2 × 3/8.

Answers to 2d, e, and f will vary depending on how each student chooses to arrange the numbers.

Unit 5 Module 1

NAME | DATE

Page 12: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 170

Session 3

Fractions of Wholes

1 Find the product.

a 14 of 7 = ____ b 1

5 × 25 = ____ c 13 of 36 ____

d 34 of 7 = ____ e 4

5 × 25 = ____ f 23 × 36 ____

2 True or False?

a 34 × 11 = 8 1

4 T F b 35 of 20 = 15 T F c 2

5 of 30 = 18 T F

d 16 × 15 = 16

5 T F e 26 × 21 = 7 T F f 24 × 2

3 = 483 T F

3 Madeline read 23 of her favorite book on the car ride to her grandparents’ house.

If the book had 225 pages, how many pages of the book has she read?

4 Theo entered a race that required him to ride his bike 54 kilometers and run 16 as

far as he bikes.

a How many kilometers will Theo run?

b How many meters will he run?

Answer Key

7/4 or 1 3/4 5

205 1/4

12

24

150 pages; work will vary.

9 kmWork will vary.

9,000 m

Unit 5 Module 1

NAME | DATE

Page 13: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 171

Session 4

Thinking About Strategy

1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2.

a What three cards should she choose to make a whole number and fraction whose product is close to 1?

b Write an equation for the problem Anna will solve.

c Solve the problem.

d What is Anna’s score for this round?

2 Multiply. Hint: Use one of the strategies on the class poster from today’s session.35 × 4 = ____ 4

5 × 3 = ____ 45 × 16 = ____

3 CHALLENGE Morgan thought she would be able to sell 75 plants for the school fundraiser. So far, she has sold 2

3 of her goal. Morgan’s friend Billy has sold 45 of his

goal of 60 plants.

a Make a prediction: which of the two students has sold more plants?

b How many plants has each student sold? Show your work.

Answer Key

12/5 or 2 2/5 12/5 or 2 2/5 64/5 or 12 4/5

Answers will vary. The 3 numbers that will result in the product closest to 1 are 2, 3, and 6 used in one of two equations: 2 × 3/6 or 3 × 2/6.

Answers to problems 1b, c, and d will vary depending on the 3 numbers selected.

Work will vary.

Predictions will vary.

Morgan has sold 50 plants (2/3 × 75 = 50).Billy has sold 48 plants ( 4/5 × 60 = 48).

Unit 5 Module 1

NAME | DATE

Page 14: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Student Book 172

Session 5

Ryan’s Baseball Cards

1 Ryan has 48 baseball cards. He gives some of them away to his friends. Help Ryan figure out how many cards each of his friends will get. Show your work.

a If Ryan gives 14 of his 48 cards to Anna, how many cards does he give Anna?

b If Ryan gives 38 of his 48 cards to Josiah, how many cards does he give Josiah?

c If Ryan gives 26 of his 48 cards to Max, how many cards does he give Max?

d How many cards does Ryan have left? What fraction of his original 48 cards is this?

2 Solve the problems below.

23 + 5

6 = ____ 1 13 – 7

8 = ____ 1 45 + 1 3

10 = ____

16 × 78 = ____ 4

5 × 24 = ____ 27 × 49 = ____

16 18 – 15 3

5 = ____ 208 47 + 201 3

4 = ____ 20 16 – 15 3

5 = ____

Answer Key

12 cards; work will vary.

18 cards; work will vary.

16 cards; work will vary.

2 cards; 2/48 or 1/24 of the original 48 cards.

9/6 or 1 3/6 or 1/12

14

21/40

11/24

96/5 or 19 1/5

410 9/28

2 11/10 or 3 1/10

12

4 17/30

Unit 5 Module 1

NAME | DATE

Page 15: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 89

Session 1

Multiplication & Division Review page 1 of 2

1 Complete the following multiplication tables.

a × 2 9 6 5 7 20 40 30

60 120

b × 2 9 6 5 7 20 40 30

40 80

2 Complete the following division tables.

÷ 1,200 900 60 210 1,500 1,800 270 2,400

30 40

3 Solve these multiplication problems using the standard algorithm.

84 58 451 256× 36 × 27 × 32 × 33504

+ 2,5203,024

177 305 573 837× 49 × 64 × 26 × 86

These look like ratio tables to me so I kinda made them look like ratio tables, but in ye old firste editione they were very very different. Should they look like ratio tables or like the multiplication table SB page or...?

1 2

1

Answer Key

540 360 300 420 1200 2400 1800

360 240 200 280 800 1600 1200

30 2 7 50 60 9 80

406+ 1160

1,566

15

902+ 13530

14,432

11

768+ 7680

8,448

1 11 1

1220+ 18300

19,520

32

3438+ 11460

14,898

14 1

5022+ 66960

71,982

2 52 4

1593+ 7080

8,673

3 26 6

Unit 5 Module 1

NAME | DATE

(continued on next page)

Page 16: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 90

4 Whitney's 9 cousins are coming to visit, and she wants to make them each a little gift bag. She wants to put an equal number of little candies in each bag, eat 3 candies herself, and have none left over.

Candy Candies per Bag

Lemon Sours 147

Strawberry Kisses 216

Pineapple Sweets 193

a Which bag of candies should she buy? Show all of your work. Hint: Can you remember a divisibility rule to help?

b How many candies will each cousin get? Show all your work.

Session 1

Multiplication & Division Review page 2 of 2

Answer Key

Lemon Sours. Explanations and work will vary. 147 – 3 = 144, and 144 is evenly divisible by 9.

144 ÷ 9 = 16 candies per cousin.Work will vary.

Unit 5 Module 1

NAME | DATE

Page 17: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 91

Session 3

More Fractions of Wholes page 1 of 2

1 Find the products.

a 14 of 6 = ____ b 1

5 × 30 = ____ c 13 of 27 = ____

d 34 of 6 = ____ e 4

5 × 30 = ____ f 23 × 27 = ____

2 True or False?

a 14 × 9 = 2 1

4 T F b 35 of 25 = 15 T F c 2

5 of 15 = 5 25 T F

d 18 × 15 = 5

18 T F e 26 × 24 = 14 T F f 17 × 1

3 = 173 T F

3 Pete rode his dirt bike 23 of the 150-mile course. How many miles did Pete ride?

Show your work.

4 Kim says that multiplying 14 × 12 is the same as dividing 12 by 4. Do you agree

with Kim? Explain your answer.

Answer Key

1 1/2

4 1/2

6

24

9

18

100 milesWork will vary.

Yes, agree – Kim is correct. Explanations will vary.

Unit 5 Module 1

NAME | DATE

(continued on next page)

Page 18: Grade 5 Unit 5 Module 1 Practice Pages for Math at Home€¦ · 1 Anna is playing Target One Fractions. She has these cards: 4, 3, 6, 4, 2. a What three cards should she choose to

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 5 Home Connections 92

Review

5 Round each number to the nearest tenth and hundredth.Number Rounded to the Nearest Tenth Rounded to the Nearest Hundredth

131.094

45.655

934.705

100.550

6 Evaluate each of the following.

a 6 × (5 × 12) = ____ b (18 × 13) + (2 × 13) = ____

c (75 ÷ 3) × 10 = ____ d (117 × 4) − (7 × 4) = ____

7 Six friends had lunch together and decided to split the bill evenly.

a If the bill was $48.60, what was each person’s share? Show your work.

b After tax and tip, the bill totaled $63.00. What was each person’s share? Show your work.

8 CHALLENGE Vivian loves to paint in the evenings after school. She is working on three paintings. She needs 4 brushes, 3 canvases, and 12 small tubes of paint. Brushes cost $0.75 each, canvases cost $5.99 each, and tubes of paint costs $1.89 each.

a Write an expression to determine Vivian’s cost, then solve the problem.

b Help Vivian determine the average cost per painting. Write an expression and then solve the problem.

Session 3

More Fractions of Wholes page 2 of 2

Answer Key

131.145.7

934.7100.6

131.0945.66

934.71100.55

360

250

260

440

$8.10Work will vary.

$10.50Work will vary.

(4 × 0.75) + (3 × 5.99) + (12 × 1.89) = $43.65Expressions may vary slightly.

$43.65 ÷ 3 = $14.55Expressions may vary slightly.

Unit 5 Module 1

NAME | DATE