We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 2 Lesson 3 Relate Area to Addition and Multiplication** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 2 Lesson 3 Answer Key Relate Area to Addition and Multiplication

I Can use repeated addition or multiplication to find the area of a rectangle.

**Spark Your Learning**

Zenda draws three designs for a game board. She wants the game board to have an area greater than 12 square centimeters. Which design should Zenda use?

**Show your work.**

Which design has an area greater than 12 square centimeters? _________

Answer:

Design B

Explanation:

Zenda draws three designs for a game board

She wants the game board to have an area greater than 12 square centimeters.

Each square unit represents 1 square centimeter

Design A has 5 rows of 2 squares

Area is 2 + 2 + 2 + 2 + 2 = 10 sq cm

Design B has 2 rows of 7 squares

Area is 7 + 7 = 14 sq cm

Design C has 3 rows of 3 squares

Area is 3 + 3 + 3 = 9 sq cm

So, Design B has 14 square centimeter area that is greater than 12 square centimeters.

**Turn and Talk** How did you find the area of each design?

**Build Understanding**

1. Monty uses unit squares to measure the area of a game card. Each unit square is 1 square inch. He makes the drawings below. What is the area of the game card?

Show two ways to find the area of the game card.

A. What unit of measurement does Monty use?

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B. What methods or operations can you use?

_______________________

C. What is the area of the game card? ____________

Answer:

Explanation:

Monty uses unit squares to measure the area of a game card

Each unit square is 1 square inch

He makes the drawings above

1 way is counting the squares, there are 18 unit squares

1 unit square is 1 square inch

So, area is 18 square inches

Another way:

There are 3 rows of 6 unit squares

6 + 6 + 6 = 18

So, area is 18 square inches.

**Turn and Talk** Discuss the methods you used to find the area of the game card. Can the arrangement of the unit squares in a rectangle help you find the area quickly? Explain.

**Step It Out**

2. Tami uses unit squares to measure the area of a floor mat. Each unit square is 1 square foot. What is the area of the mat?

A. Use repeated addition. What number do you add each time? How many times do you add the same number? ___

Add. 4 + ___ + ___ + ___ + ___ = ___

Answer:

20 square feet

Explanation:

Tami uses unit squares to measure the area of a floor mat

Each unit square is 1 square foot

There are 5 rows of 4 unit squares

Add 5 times the number 4

4 + 4 + 4 + 4 + 4 = 20

So, the area of the mat is 20 square feet.

B. Use multiplication. How many rows are there? How many squares are in each row? Write the side lengths on the mat.

Multiply. ___ × ___

The area of the mat is ____

Answer:

Explanation:

Tami uses unit squares to measure the area of a floor mat

Each unit square is 1 square foot

There are 5 rows of 4 unit squares

Multiply 5 and 4

5 x 4 = 20

So, the area of the mat is 20 square feet.

**Turn and Talk** How are using counting, using repeated addition, and using multiplication to find a product like finding the area of a rectangle?

**Check Understanding Math Board**

Question 1.

Finn uses unit squares to measure the area of this figure. What is the area of the figure?

Add. ____

Multiply. ____

Area = ___ square centimeters

Answer:

Area = 15 square centimeters

Explanation:

Finn uses unit squares to measure the area of this figure

1 unit square is 1 square centimeter

The figure covers 3 rows of 5 unit squares

Add: 5 + 5 + 5 = 15

Multiply: 3 x 5 = 15

So, area = 15 square centimeters.

Question 2.

Avra uses unit squares to measure the area of this figure. What is the area of the figure?

Add. ____

Multiply. ____

Area = ___ square centimeters

Answer:

Area = 14 square centimeters

Explanation:

Avra uses unit squares to measure the area of this figure

1 unit square is 1 inch

The figure covers 2 rows of 7 unit squares

Add: 7 + 7 = 14

Multiply: 2 x 7 = 14

So, area = 14 square inches.

**On Your Own**

Question 3.

**Attend to Precision** Muyu uses unit squares to measure the area of a playground. Each unit square is 1 square meter. What is the area of the playground?

Answer:

Area = 36 square meters

Explanation:

Muyu uses unit squares to measure the area of a playground

Each unit square is 1 square meter

The figure covers 4 rows of 9 unit squares

4 x 9 = 36

So, area of the play ground is 36 square meters.

**Find the area of the figure. Show repeated addition. Show multiplication.**

Question 4.

Each unit square is 1 square foot.

Add. ____

Multiply. ____

Area = ____

Answer:

Area = 21 square feet

Explanation:

The figure has 3 rows of 7 unit squares

Add: 7 + 7 + 7 = 21

Multiply: 3 x 7 = 21

Each unit square is 1 square foot

So, the area of the figure is 21 square feet.

Question 5.

Each unit square is 1 square inch.

Add. ____

Multiply. ____

Area = ____

Answer:

Area = 16 square inches

Explanation:

The figure has 2 rows of 8 unit squares

Add: 8 + 8 = 16

Multiply: 2 x 8 = 16

Each unit square is 1 square inches

So, the area of the figure is 16 square inches.

Question 6.

**Use Repeated Reasoning** Dev is measuring a rectangular figure using unit squares. Each unit square is 1 square inch. So far, he has made 2 rows with 7 unit squares in each row. He sees that there will be 4 more rows of 7. How can Dey use multiplication to find the area of the rectangle? Explain your thinking.

Answer:

Area = 42 square inches

Explanation:

Dev is measuring a rectangular figure using unit squares

Each unit square is 1 square inch

So far, he has made 2 rows with 7 unit squares in each row

2 x 7 = 14

He sees that there will be 4 more rows of 7

4 x 7 = 28

Add: 14 + 28 = 42

The area of the rectangle is 42 square inches.

**I’m in a Learning Mindset!**

What parts of finding area am I comfortable solving on my own?

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