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© 2020 The Math Learning Center | mathlearningcenter.org The 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 4 Unit 6 Module 4 Practice Pages for Math at Home

Grade 4 Unit 6 Module 4 Practice Pages for Math at Home

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© 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 4 Unit 6 Module 4Practice Pages for Math at Home

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 248

Session 1

David Goes ShoppingSolve each problem below. Choose the strategy that is easiest for you. Show your work.

1 David gave $272 worth of books to the local library. Each book was worth $8. How many books did he give to the library?

David gave _____ books to the library.

2 David spend $216 on plants for his business. He bought 9 plants. If each plant cost the same amount, how much did one plant cost?

One plant cost _____.

3 David spent $408 on DVDs over the past few years. Each DVD cost $17. How many DVDs did he buy? (You do not have to use the ratio table, but it might help you solve the problem.)

Number of DVDs 1Cost $17 $408

David bought _____ DVDs.

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 250

Session 2

Remainder Review

1 Julia spilled ketchup on her paper and can’t see a part of the problem anymore.

5 Martha had xx beads. She wanted to make 7 bracelets. How many will go on each bracelet?

xx ÷ 7 = 3r2

a How many beads did Martha have? Fill in the blank: _____ ÷ 7 = 3 r 2.

b What does the remainder of 2 mean in this problem?

2 Each of the division problems below includes a remainder. Solve each and show your work. Figure out the best way to treat the remainder for each one: as a whole number, a fraction, or a decimal.

a Rachel earned $46 dollars for walking dogs Monday through Friday last week. If she earned the same amount every day, how much did she earn per day?

b Bryson bought 27 balloons to share with three friends. How many balloons does each of the 4 children get?

c Ropes come in 16 foot lengths at the hardware store. Jorge bought one rope and then cut it into three equal size pieces. How long was each of the three pieces?

3 Abby did a story problem and got 30 ÷ 4 = 7 R2 as the answer. Write a problem that could have been the one Abby solved.

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 251

Session 3

Tessa’s TicketsTessa is performing in a production of The Wizard of Oz. She began selling tickets two weeks before the show’s opening night. Show your work on each of the problems below.

1 Adult tickets cost $7.00.

a How much do 28 adult tickets cost?

b Tessa’s neighbor spent $105 on adult tickets. How many tickets did her neighbor buy?

2 Children’s tickets cost $4.00.

a How much do 136 children’s tickets cost?

b Tessa’s aunt spent $96 on children’s tickets. How many tickets did her aunt buy?

3 CHALLENGE Tessa’s teacher spent $44 on tickets. He bought some tickets for children and some for adults. How many children’s tickets and how many adult tickets did Tessa’s teacher buy?

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 129

Session 2

Unit 6 Review page 1 of 2

1 If the area of a rectangle is 306 square centimeters (cm²) and one dimension is 6 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

2 If the area of a rectangle is 612 square centimeters (cm²) and one dimension is 12 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

3 If the perimeter of a rectangle is 306 centimeters and one dimension is 6 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

Unit 6 Module 4

NAME | DATE

(continued on next page)

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 130

4 Six people are splitting the cost of a boat trip. The total is $306. What is each person’s share? Show your work.

5 Twelve people are splitting the cost of the same boat trip for a total of $306. Jenny says that each person’s share will be half as much as in problem 4. Do you agree with Jenny? Explain your answer, and then solve the problem to prove that you are correct.

6 Three people are splitting the cost of meals on the boat trip. The cost is $153. What is each person’s share? Pedro says that the answer to this problem will be the same as the answer to problem 4. Do you agree with Pedro? Explain your answer, and then solve the problem to prove that you are correct.

7 CHALLENGE Orlando and his 4 friends joined Michael and his 3 friends in purchasing a gift for their baseball coach. The gift cost $15.75 and the 9 friends split the amount equally. How much did each person spend? Show your work.

Session 2

Unit 6 Review page 2 of 2

Unit 6 Module 4

NAME | DATE

Answer Keys

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 248

Session 1

David Goes ShoppingSolve each problem below. Choose the strategy that is easiest for you. Show your work.

1 David gave $272 worth of books to the local library. Each book was worth $8. How many books did he give to the library?

David gave _____ books to the library.

2 David spend $216 on plants for his business. He bought 9 plants. If each plant cost the same amount, how much did one plant cost?

One plant cost _____.

3 David spent $408 on DVDs over the past few years. Each DVD cost $17. How many DVDs did he buy? (You do not have to use the ratio table, but it might help you solve the problem.)

Number of DVDs 1Cost $17 $408

David bought _____ DVDs.

Answer Key

Work will vary.

Work will vary.

34

$24

10 20 2 4$170 $340 $34 $68

408- 340

68

24

Use of the ratio table will vary. Example:

1

24

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 250

Session 2

Remainder Review

1 Julia spilled ketchup on her paper and can’t see a part of the problem anymore.

5 Martha had xx beads. She wanted to make 7 bracelets. How many will go on each bracelet?

xx ÷ 7 = 3r2

a How many beads did Martha have? Fill in the blank: _____ ÷ 7 = 3 r 2.

b What does the remainder of 2 mean in this problem?

2 Each of the division problems below includes a remainder. Solve each and show your work. Figure out the best way to treat the remainder for each one: as a whole number, a fraction, or a decimal.

a Rachel earned $46 dollars for walking dogs Monday through Friday last week. If she earned the same amount every day, how much did she earn per day?

b Bryson bought 27 balloons to share with three friends. How many balloons does each of the 4 children get?

c Ropes come in 16 foot lengths at the hardware store. Jorge bought one rope and then cut it into three equal size pieces. How long was each of the three pieces?

3 Abby did a story problem and got 30 ÷ 4 = 7 R2 as the answer. Write a problem that could have been the one Abby solved.

Answer Key

23She had 2 beads left over.

$9.20; work will vary.

6 balloons with 3 balloons left over; work will vary.

5 1/3 feet; work will vary.

Responses will vary, but should involve something that can't be divided into fractional parts, such as marbles or balloons.

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 251

Session 3

Tessa’s TicketsTessa is performing in a production of The Wizard of Oz. She began selling tickets two weeks before the show’s opening night. Show your work on each of the problems below.

1 Adult tickets cost $7.00.

a How much do 28 adult tickets cost?

b Tessa’s neighbor spent $105 on adult tickets. How many tickets did her neighbor buy?

2 Children’s tickets cost $4.00.

a How much do 136 children’s tickets cost?

b Tessa’s aunt spent $96 on children’s tickets. How many tickets did her aunt buy?

3 CHALLENGE Tessa’s teacher spent $44 on tickets. He bought some tickets for children and some for adults. How many children’s tickets and how many adult tickets did Tessa’s teacher buy?

Answer Key

$196; work will vary.

15 tickets; work will vary.

$544; work will vary.

24 tickets; work will vary.

4 children's tickets and 4 adult tickets; work will vary.

Unit 6 Module 4

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 129

Session 2

Unit 6 Review page 1 of 2

1 If the area of a rectangle is 306 square centimeters (cm²) and one dimension is 6 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

2 If the area of a rectangle is 612 square centimeters (cm²) and one dimension is 12 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

3 If the perimeter of a rectangle is 306 centimeters and one dimension is 6 centimeters, what is the measurement of the other dimension? Use labeled sketches and equations to model and solve this problem.

Answer Key

51 cm (306 ÷ 6 = 51)

51 cm (612 ÷ 12 = 51); students might note that the measurements are related to those of the rectangle in problem 1.

Work will vary.

147 cm (306 – (2 × 6) = 294; 294 ÷ 2 =147); students might notice that this problem relates to problem 1.

Unit 6 Module 4

NAME | DATE

(continued on next page)

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 130

4 Six people are splitting the cost of a boat trip. The total is $306. What is each person’s share? Show your work.

5 Twelve people are splitting the cost of the same boat trip for a total of $306. Jenny says that each person’s share will be half as much as in problem 4. Do you agree with Jenny? Explain your answer, and then solve the problem to prove that you are correct.

6 Three people are splitting the cost of meals on the boat trip. The cost is $153. What is each person’s share? Pedro says that the answer to this problem will be the same as the answer to problem 4. Do you agree with Pedro? Explain your answer, and then solve the problem to prove that you are correct.

7 CHALLENGE Orlando and his 4 friends joined Michael and his 3 friends in purchasing a gift for their baseball coach. The gift cost $15.75 and the 9 friends split the amount equally. How much did each person spend? Show your work.

Session 2

Unit 6 Review page 2 of 2

Answer Key

Work will vary.

$51 (306 ÷ 6 = 51); students might notice how this problem relates to problem 1.

Yes, agree with Jenny. Explanations will vary. Students might calculate the answer independently or look at how this problem relates to problems 4, 2, and 1.

Yes, agree with Pedro. $153 ÷ 3 = $51.

$1.75 ($15.75 ÷ 9)

Unit 6 Module 4

NAME | DATE