Grade 4 Unit 6 Module 2 Practice Pages for Math at Home · 22 The Math earning enter mathlearningcenterorg The Math earning enter grants ermission to learners families and educators

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Grade 4 Unit 6 Module 2Practice Pages for Math at Home

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Student Book 228

Session 2

Kaylee’s KilometersKaylee is training to run a marathon next summer. Help Kaylee figure out how far she is running each day. Show your work with numbers, labeled sketches, or words.

1 There is a rectangular path for running in Kaylee’s town. She runs around the path every day. One side of the path is 5 1

2 kilometers long. Another side is 3 12 kilometers long.

a What is the perimeter of the path?

b If Kaylee ran around the path 7 times during one week, how many kilometers did she run that week?

c How many meters did Kaylee run that week?

d It takes Kaylee 1 56 hours to run around the path. How many minutes does it

take Kaylee to run around the path?

e CHALLENGE Kaylee ran around the path 1 12 times three days in a row. How far

did she run on those three days in all?

Unit 6 Module 2

NAME | DATE


Session 3

Finding Factors & Multiples

1 Tell whether each of the following numbers is prime or composite.

a 26 _______

b 46 _______

c 97 _______

d 121 _______

2 Write all of the factor pairs for each of the following numbers.

a 34

b 64

c 72

d 79

3 Mandy was making a list of the multiples of 14. Which of the following lists is correct? N 14, 28, 41, 55 N 28, 42, 56, 74 N 28, 42, 56, 70 N 14, 28, 42, 66

4 The area of a large rectangular rug is 54 square feet. List all the possible pairs of dimensions for the rug.

5 Which of the following lists contains a number that is not a multiple of 7? N 14, 28, 42, 56 N 7, 14, 28, 35 N 7, 21, 35, 64 N 14, 21, 42, 56

Unit 6 Module 2

NAME | DATE


Session 4

Area & Perimeter ChallengesUse labeled sketches and equations to model and solve each problem below. Show your work.

1 A rectangle has a perimeter of 84 meters. One dimension is 7 meters. How long is the unknown dimension?

2 If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?

3 CHALLENGE A rectangle has an area of 243 square feet. One dimension is 9 feet. What is the length of the other dimension? Draw a sketch and show your work.

4 CHALLENGE If the area of a rectangle is 36 square yards and one dimension is 12 yards, then what is the perimeter?

Unit 6 Module 2

NAME | DATE


Session 5

Frederico’s FortFrederico is building a tree fort. Help Frederico solve the following problems. Show your work using numbers, sketches, or words.

1 The floor of the fort is 14 by 19 feet long. What is the area of the floor?

2 Frederico has 2 windows in his fort. One window is 36 cm by 24 cm. The other window is 18 cm by 48 cm. Frederico says the area of both windows is the same. Do you agree or disagree? Why?

3 The door of the fort is 55 inches by 28 inches. What is the area of the door?

4 Fill in the blanks.

a 29 × 17 = (30 × 17) – (____ × 17)

b 32 × 16 = (30 × 10) + (30 × ____) + (2 × 10) + (____ × ____)

c 24 × 42 = 12 × ____ = 6 × 168 = ____ × 336

Unit 6 Module 2

NAME | DATE

© The Math Learning Center | mathlearningcenter.orgBridges in Mathematics Grade 4 Home Connections 119

Session 2

Frankie’s Fairground page 1 of 2Frankie goes to the county fair every year. This year, she finds a math problem everywhere she goes. Help Frankie solve the problems. First make an estimate. Then write an equation with a letter standing for the unknown quantity. Finally solve the problem. Show your work using numbers, labeled sketches, or words.

1 Frankie buys 24 tickets to use at the fair. Each ticket costs 25 cents. How much money does Frankie spend on tickets?

Estimate: _________ Equation: ___________________________ Answer: _________

2 Frankie goes on the Ferris wheel first. The Ferris wheel stands on a rectangular platform that has an area of 324 yd2 (square yards). One dimension is 9 yards. What is the other dimension?


Unit 6 Module 2

NAME | DATE

(continued on next page)


3 Next, Frankie goes on the Thrill Ride roller coaster. The roller coaster takes up a large rectangular area of the fairground. It is 99 yards on one side and 88 yards on the other side. How much space does the roller coaster take up in square yards?


4 Write and solve an equation for each of the problems below. Use the table to help.Measurement Equivalents

1 kilometer 1,000 meters 10,000 decimeters 100,000 centimeters

1 meter 10 decimeters 100 centimeters

1 decimeter 10 centimeters

a How many centimeters are in 45 meters?

b How many meters are in 45 kilometers?

c How many meters are in 800 centimeters?

d CHALLENGE How many decimeters are in 40 kilometers?

Session 2

Frankie’s Fairground page 2 of 2

Unit 6 Module 2

NAME | DATE


Session 4

Perimeter & Area page 1 of 2Use labeled sketches and equations to solve the problems on this page and the next. Show all your work.

1 Josie is putting a fence around her rectangular yard. One dimension measures 24 feet and the other dimension is twice as long. What is the perimeter of Josie’s yard?

2 If Josie puts grass in her yard, how many square feet of grass should she buy?

3 Sean measured his rectangular patio and determined the area was 216 square feet. He remembered that one dimension was 9 feet.

a What is the other dimension?

b What is the perimeter of Sean’s patio?

Unit 6 Module 2

NAME | DATE



4 Rafael and his sister each drew a rectangle on their driveway. The dimensions of Rafael’s rectangle are 16 inches and 24 inches. His sister’s rectangle has dimensions of 18 inches and 22 inches.

a Whose rectangle has the larger area?

b By how much?

c Whose rectangle has a larger perimeter?

5 CHALLENGE Daria and Luis both drew rectangles. Daria’s rectangle has an area of 180 inches and one of the dimensions is 12 inches. Luis’s rectangle has a perimeter of 48 inches with one dimension of 13 inches.

a What is the perimeter of Daria’s rectangle?

b What is the area of Luis’s rectangle?

Session 4

Perimeter & Area page 2 of 2

Unit 6 Module 2

NAME | DATE

Answer Keys


Session 2

Kaylee’s KilometersKaylee is training to run a marathon next summer. Help Kaylee figure out how far she is running each day. Show your work with numbers, labeled sketches, or words.

1 There is a rectangular path for running in Kaylee’s town. She runs around the path every day. One side of the path is 5 1

2 kilometers long. Another side is 3 12 kilometers long.

a What is the perimeter of the path?

b If Kaylee ran around the path 7 times during one week, how many kilometers did she run that week?

c How many meters did Kaylee run that week?

d It takes Kaylee 1 56 hours to run around the path. How many minutes does it

take Kaylee to run around the path?

e CHALLENGE Kaylee ran around the path 1 12 times three days in a row. How far

did she run on those three days in all?

Answer Key

18 km; work will vary.


126,000 meters; work will vary.

110 minutes; work will vary.


Unit 6 Module 2

NAME | DATE


Session 3

Finding Factors & Multiples

1 Tell whether each of the following numbers is prime or composite.

a 26 _______

b 46 _______

c 97 _______

d 121 _______

2 Write all of the factor pairs for each of the following numbers.

a 34

b 64

c 72

d 79

3 Mandy was making a list of the multiples of 14. Which of the following lists is correct? N 14, 28, 41, 55 N 28, 42, 56, 74 N 28, 42, 56, 70 N 14, 28, 42, 66

4 The area of a large rectangular rug is 54 square feet. List all the possible pairs of dimensions for the rug.

5 Which of the following lists contains a number that is not a multiple of 7? N 14, 28, 42, 56 N 7, 14, 28, 35 N 7, 21, 35, 64 N 14, 21, 42, 56

Answer Key

Composite

1 × 34 and 2 ×17

1 × 64, 2 × 32, 4 × 16, 8 × 8

1 × 72, 2 × 36, 3 × 24, 4 × 18, 6 × 12, 8 × 9

1 × 54, 2 × 27, 3 × 18, 6 × 9

1 × 79

Composite

Prime

Composite

Unit 6 Module 2

NAME | DATE


Session 4

Area & Perimeter ChallengesUse labeled sketches and equations to model and solve each problem below. Show your work.

1 A rectangle has a perimeter of 84 meters. One dimension is 7 meters. How long is

2 If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?

3 CHALLENGE A rectangle has an area of 243 square feet. One dimension is 9 feet. What is the length of the other dimension? Draw a sketch and show your work.

4 CHALLENGE If the area of a rectangle is 36 square yards and one dimension is 12 yards, then what is the perimeter?

Answer Key

the unknown dimension?

35 meters; work will vary.

27 feet; work will vary.

30 yards; work will vary.

20 sq. cm; work will vary.

Unit 6 Module 2

NAME | DATE


Session 5

Frederico’s FortFrederico is building a tree fort. Help Frederico solve the following problems. Show your work using numbers, sketches, or words.

1 The floor of the fort is 14 by 19 feet long. What is the area of the floor?

2 Frederico has 2 windows in his fort. One window is 36 cm by 24 cm. The other window is 18 cm by 48 cm. Frederico says the area of both windows is the same. Do you agree or disagree? Why?

3 The door of the fort is 55 inches by 28 inches. What is the area of the door?

4 Fill in the blanks.

a 29 × 17 = (30 × 17) – (____ × 17)

b 32 × 16 = (30 × 10) + (30 × ____) + (2 × 10) + (____ × ____)

c 24 × 42 = 12 × ____ = 6 × 168 = ____ × 336

Answer Key

266 square feet; work will vary.

1,540 square inches; work will vary.

1

6

84

2

3

6

Yes; work will vary.You know 36 × 24 = 18 × 48 because half of 36 is 18, and double 24 is 48.

Unit 6 Module 2

NAME | DATE


Session 2

Frankie’s Fairground page 1 of 2Frankie goes to the county fair every year. This year, she finds a math problem everywhere she goes. Help Frankie solve the problems. First make an estimate. Then write an equation with a letter standing for the unknown quantity. Finally solve the problem. Show your work using numbers, labeled sketches, or words.

1 Frankie buys 24 tickets to use at the fair. Each ticket costs 25 cents. How much money does Frankie spend on tickets?


2 Frankie goes on the Ferris wheel first. The Ferris wheel stands on a rectangular platform that has an area of 324 yd2 (square yards). One dimension is 9 yards. What is the other dimension?


Answer Key

$6

36 yards

Estimates will vary. Equations will vary slightly.


24 × 0.25 = m

324 ÷ 9 = d

Unit 6 Module 2

NAME | DATE



3 Next, Frankie goes on the Thrill Ride roller coaster. The roller coaster takes up a large rectangular area of the fairground. It is 99 yards on one side and 88 yards on the other side. How much space does the roller coaster take up in square yards?


4 Write and solve an equation for each of the problems below. Use the table to help.Measurement Equivalents

1 kilometer 1,000 meters 10,000 decimeters 100,000 centimeters

1 meter 10 decimeters 100 centimeters

1 decimeter 10 centimeters

a How many centimeters are in 45 meters?

b How many meters are in 45 kilometers?

c How many meters are in 800 centimeters?

d CHALLENGE How many decimeters are in 40 kilometers?

Session 2

Frankie’s Fairground page 2 of 2

Answer Key

8,712 sq. yards


99 × 88 = y

4,500 cm

45,000 m

8 m

400,000 dm

Unit 6 Module 2

NAME | DATE


Session 4

Perimeter & Area page 1 of 2Use labeled sketches and equations to solve the problems on this page and the next. Show all your work.

1 Josie is putting a fence around her rectangular yard. One dimension measures 24 feet and the other dimension is twice as long. What is the perimeter of Josie’s yard?

2 If Josie puts grass in her yard, how many square feet of grass should she buy?

3 Sean measured his rectangular patio and determined the area was 216 square feet. He remembered that one dimension was 9 feet.

a What is the other dimension?

b What is the perimeter of Sean’s patio?

Answer Key

144 feet

Work will vary.

24 feet

66 feet

1,152 sq. ft.

Unit 6 Module 2

NAME | DATE



4 Rafael and his sister each drew a rectangle on their driveway. The dimensions of Rafael’s rectangle are 16 inches and 24 inches. His sister’s rectangle has dimensions of 18 inches and 22 inches.

a Whose rectangle has the larger area?

b By how much?

c Whose rectangle has a larger perimeter?

5 CHALLENGE Daria and Luis both drew rectangles. Daria’s rectangle has an area of 180 inches and one of the dimensions is 12 inches. Luis’s rectangle has a perimeter of 48 inches with one dimension of 13 inches.

a What is the perimeter of Daria’s rectangle?

b What is the area of Luis’s rectangle?

Session 4

Perimeter & Area page 2 of 2

Answer Key

His sister's. (18 × 22 > 16 × 24 because 396 > 384)

Work will vary.

54 inches (180 ÷ 12 = 15)

143 sq. inches 48 – (2 × 13) = 22, so the second dimension is 11.13 × 11 = 143

12 sq. inches

The perimeters are equal (80 inches).

Unit 6 Module 2

NAME | DATE

Documents

Grade 4 Unit 6 Module 2 Practice Pages for Math at Home · 22 The Math earning enter mathlearningcenterorg The Math earning enter grants ermission to learners families and educators