Practicing the **Bridges in Mathematics Grade 4 Home Connections Answer Key** **Unit 6 Module 1 **will help students analyze their level of preparation.

## Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 6 Module 1

**Bridges in Mathematics Grade 4 Home Connections Unit 6 Module 1 Session 1 Answer Key**

**Area & Perimeter Story Problems**

You can make sketches to help solve the problems below. Remember to include the units of measurement in your answers. Show all of your work.

Question 1.

The classroom rug is 9 feet long and has an area of 72 square feet. What is the width of the rug?

Answer:

The classroom rug is 9 feet long.

Length = 9 feet

Width =?

Area = 72 square feet

Area = Length x width

72 square feet = 9 feet x?

72/9 = 8 feet

Width of the rug is **8 feet**.

a. What is the perimeter of the rug?

Answer:

We know that,

Width = 8 feet

Length = 9 feet

Perimeter of the rug = 2(width +length)

= 2(8 + 9)

= 2(17)

= 34

Perimeter of the rug is equal to **34 feet**.

Question 2.

Chrissy is going to make a big painting on a piece of wood that is 4 feet wide and has an area of 28 square feet. How long is the piece of wood?

Answer:

Given

Width = 4 feet

Area = 28 square feet

Length =?

Area of piece of wood = width x length

28 = 4 x?

28/4 = 7 feet

Length = 7 feet

The piece of wood is **7 feet** long.

a. What is the perimeter of the piece of wood?

Answer:

We know that,

Width = 4 feet

Length = 7 feet

Perimeter of the piece of wood = 2(width +length)

= 2(4 + 7)

= 2(11)

= 22

Perimeter of the piece of wood is equal to **22 feet**.

Question 3.

The school playground measures 465 feet by 285 feet. What is the perimeter of the playground?

Answer:

Given,

Length = 465 feet

Width = 285 feet

Perimeter of the playground = 2(length + width)

= 2(465 + 285)

= 2(750)

= 1500 feet

Perimeter of the playground is equal to **1500 feet.**

Question 4.

Shanice and Micah are using yellow craft paper to cover a bulletin board. The board is 11 feet wide and 7 feet tall. The craft paper comes in a roll that is 1 yard wide. They can roll it out and cut it to any length, but the paper will always be 1 yard wide. Draw and label on the bulletin board pictures below to show 2 different ways Shanice and Micah can cover the bulletin board.

a. First way.

Answer:

b. Second way.

Answer:

Question 5.

**CHALLENGE** Which of the two ways above wastes less paper? Use pictures, numbers, and words to explain your answer.

Answer:

**Bridges in Mathematics Grade 4 Home Connections Unit 6 Module 1 Session 3 Answer Key**

**Fraction Stories**

Question 1.

Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.

a. How much cereal should she use? ______________

Answer:

She will use **1/4 cup** of cereal to make one serving.

b. How much water should she use? ______________

Answer:

She will use **3/4 cup** of water to make one serving.

c. Show your thinking below.

Answer:

Susie wants to make some hot cereal for breakfast.

The directions say to use 3 cups of water with 1 cup of cereal to make 4 servings.

3cups water + 1 cup cereal = 4 serving

But here Susie wants only 1 serving.

**3/4 of water + 1/4 of water = 1 serving**

Question 2.

The sports store is having a half-off sale where everything is half its original price. Complete the table below. Show your work in the space beside the table.

Answer:

Explanation:

The sports store is having a half-off sale where everything is half its original price as we can observe in the above given table.

I weigh 8 pounds, so I need 2 cans a day!

What about me? I weigh 5 pounds, so I need more than I can but less than 2. can you help me out?

Question 3.

Missyâ€™s mother owns a pet supply store. The directions on the small cans of cat food say to feed a cat 1 can of food each day for every 4 pounds of body weight. Missy started to make a table to help people know how much of this food to give their cats every day. Finish the table.

Answer:

Explanation:

The above table gives the information about how much of the food to give Missy’s cats every day depending on weight.

**Bridges in Mathematics Grade 4 Home Connections Unit 6 Module 1 Session 5 Answer Key**

**Conradâ€™s Room**

Think about the most efficient strategy for each problem. Then show your work using numbers, labeled sketches, or words.

Question 1.

Conrad is cleaning his room. His bookcase has 7 shelves. He put 18 books on each shelf. How many books did Conrad put away?

Answer:

ConradÂ bookcase has 7 shelves.

He put 18 books on each shelf.

1 shelf = 18 books

7 shelves = X

X = 18 x 7

X = 126 books

Conrad put **126 books** away.

Question 2.

Conradâ€™s dresser has 6 drawers. He put 13 pieces of clothing in each drawer. How many pieces of clothing did he put away?

Answer:

Conradâ€™s dresser has 6 drawers.

He put 13 pieces of clothing in each drawer.

1 drawer = 13 pieces

6 drawers = X

X = 13 x 6

X = 78

Conrad put** 78 pieces** of clothing away.

Question 3.

Conrad has 11 containers for his toys. He put 17 toys in each container. How many toys did he put away?

Answer:

Conrad has 11 containers for his toys.

He put 17 toys in each container.

1 container = 17 toys

11 containers = X

X = 17 x 11

X = 187

Conrad put **187 toys** away.

**Review**

Question 4.

Fill in the blanks.

a. \(\frac{1}{2}\) of 24 is ______________

Answer:

\(\frac{1}{2}\) of 24 is **12**.

Multiply \(\frac{1}{2}\) with 24 the product is equal to 12.

b. \(\frac{1}{4}\) of 24 is ______________

Answer:

\(\frac{1}{4}\) of 24 is **6**.

Multiply \(\frac{1}{4}\) with 24 the product is equal to 6.

c. \(\frac{1}{8}\) of 24 is _______________

Answer:

\(\frac{1}{8}\) of 24 is **3**.

Multiply \(\frac{1}{8}\) with 24 the product is equal to 3.

d. \(\frac{1}{3}\) of 24 is _______________

Answer:

\(\frac{1}{3}\) of 24 is **8.
**Multiply \(\frac{1}{3}\) with 24 the product is equal to 8.

e. \(\frac{1}{6}\) of 24 is _______________

Answer:

\(\frac{1}{6}\) of 24 is **4**.

Multiply \(\frac{1}{6}\) with 24 the product is equal to 4.

f. \(\frac{1}{12}\) of 24 is ________________

Answer:

\(\frac{1}{12}\) of 24 is **2**.

Multiply \(\frac{1}{12}\) with 24 the product is equal to 2.

Question 5.

Fill in the blanks with <, >, or =.

a. \(\frac{1}{3}\) _______________ \(\frac{4}{9}\)

Answer:

\(\frac{1}{3}\) **<** \(\frac{4}{9}\)

b. \(\frac{7}{12}\) ________________ \(\frac{4}{8}\)

Answer:

\(\frac{7}{12}\) **>** \(\frac{4}{8}\)

c. \(\frac{5}{15}\) ________________ \(\frac{1}{3}\)

Answer:

\(\frac{5}{15}\) **=** \(\frac{1}{3}\)

d. \(\frac{9}{12}\) ________________ \(\frac{2}{3}\)

Answer:

\(\frac{9}{12}\) **>** \(\frac{2}{3}\)

Question 6.

**CHALLENGE** Tina collects cans to recycle at the supermarket. Last week, on Monday, Wednesday and Thursday, she collected 37 cans each day. On Tuesday, Friday, Saturday, and Sunday, she collected 43 cans each day. Tina gets 5 cents for every can she recycles.

a. How much money did Tina get for her cans last week?

Answer:

On Monday, Wednesday and Thursday, she collected 37 cans each day.

37 + 37 + 37 = **111 cans**

On Tuesday, Friday, Saturday, and Sunday, she collected 43 cans each day.

43 + 43 + 43 + 43 = **172 cans**

Tina recycled total **283 cans**.

111 + 172 = 283 cans

Tina gets 5 cents for every can she recycles.

Multiply 283 with 5 the product is equal to **1,415 cents**.

283 x 5 = 1,415 cents

Last week Tina got 1,415 cents for her cans.

b. Tina kept $5 for herself. She divided the rest of the money evenly among her three little brothers. How much money did each brother get?

Answer:

Last week Tina got 1,415 cents for her cans.

We know that,

100 cents = $1

1,415 cents = $X

100 x X = 1 x 1415

X = 1415/100

**X = $14.15**

Tina got $14.15 for her cans.

Tina kept $5 for herself.

$14.15 – $5 = $9.15

After keeping $5 with her tina left with the money **$9.15**.

She divided the rest of the money evenly among her three little brothers.

$9.15/3 = $3.05

Each brother got **$3.05**.

**Bridges in Mathematics Grade 4 Home Connections Unit 6 Module 1 Session 7 Answer Key**

**Paloma’s Picture**

Paloma is painting a picture of a house. Help Paloma solve the following problems. Show your work using numbers, sketches, or words.

Hint: Use some of the strategies we have been studying lately to solve these combinations as easily as possible.

Question 1.

The door of Palomaâ€™s house is 49 millimeters by 24 millimeters. What is the area of the door?

Answer:

The door of Palomaâ€™s house is 49 millimeters by 24 millimeters.

Width = 24 millimeters

Height = 49 millimeters

Area of the door = width x height

= 24 x 49

= 1,176 square millimeters

The area of the door is equal to** 1,176 square millimeters**.

Question 2.

One of the windows is 15 millimeters by 32 millimeters. Another window is 30 millimeters by 16 millimeters. Paloma says the windows have the same area. Do you agree or disagree? Why?

Answer:

One of the windows is 15 millimeters by 32 millimeters.

Width = 15 millimeters

Height = 32 millimeters

Area of the window = width x height

= 15 x 32

= 480Â square millimeters

The area of the one of the windows is equal to** 480 square millimeters**.

Another window is 30 millimeters by 16 millimeters.

Width = 16 millimeters

Height = 30 millimeters

Area of the window = width x height

= 16 x 30

= 480Â square millimeters

The area of another window is equal to** 480 square millimeters**.

Yes, I agree with Paloma word because windows have same area.

Question 3.

The porch is 12 centimeters by 19 centimeters. What is the area of the porch?

Answer:

The porch is 12 centimeters by 19 centimeters.

Width = 12 centimeters

Height = 19 centimeters

Area of the porch = width x height

= 12 x 19

= 228 square centimeters

Area of the porch is equal to 228 square centimeters.

Question 4.

Fill in the blanks.

a. 48 Ã— 25 = 24 Ã— _____________

Answer:

48 Ã— 25 = 24 Ã— _____________

48 Ã— 25 = 24 Ã— **50**

1,200 = 1,200

b. 48 Ã— 29 = (48 Ã— 30) – (48 Ã— ____________)

Answer:

48 Ã— 29 = (48 Ã— 30) – (48 Ã— ____________)

1,392 = 1,440 – (48 x **1**)

1,392 = 1,440 – 48

1,392 = 1,392

c. 48 Ã— 29 = (48 Ã— 20) + (48 Ã— ____________)

Answer:

48 Ã— 29 = (48 Ã— 20) + (48 Ã— ____________)

1,392 = 960 + (48 x **9**)

1,392 = 960 + 432

1,392 = 1,392

d. 50 Ã— 29 = \(\frac{1}{2}\) of __________ Ã— 29

Answer:

50 Ã— 29 = \(\frac{1}{2}\) of __________ Ã— 29

1,450 = \(\frac{1}{2}\) of **100** Ã— 29

1,450 = 50 x 29

1,450 = 1,450

Question 5.

True or False?

a. 16 Ã— 17 = 34 Ã— 8 ____________

Answer:

16 Ã— 17 = 34 Ã— 8

**272 is equal to 272.**

So, the given equation is **true**.

b. 39 Ã— 8 = (40 Ã— 8) – 1 ____________

Answer:

39 Ã— 8 = (40 Ã— 8) – 1

312 = (320) – 1

**312 is not equal to 319.**

So, the given equation is **False**.

c. 64 Ã— 20 = 32 Ã— 40 ____________

Answer:

64 Ã— 20 = 32 Ã— 40

1,280 **is equal to** 1,280.

So, the given equation is **true**.

d. 50 Ã— 89 = 100 Ã— 89 _____________

Answer:

50 Ã— 89 = 100 Ã— 89

4,450** is not equal to** 8,900.

So, the given equation is **False**.

Question 6.

**CHALLENGE** Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomaâ€™s Garden? Show all your work.

Answer:

Paloma has 12 rows of flowers.

Each row has 13 plants in it.

Each plant has 15 flowers on it.

1 row = 13 plants

12 rows = X plants

X = 13 x 12

X = 156 plants

Paloma have total **156 plants** in 12 rows.

Each plant has 15 flowers on it.

1 plant = 15 flowers

156 plants = X flowers

X = 15 x 156

X = 2,340 flowers

Total there are **2,340 flowers** are in Palomaâ€™s Garden.