We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 5 Lesson 2 Use Area Models and the Distributive Property to Multiply** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 5 Lesson 2 Answer Key Use Area Models and the Distributive Property to Multiply

I Can break apart a 2-digit factor to multiply a 2-digit factor by a 1-digit factor.

**Spark Your Learning**

A school scramble band gets into formation for a parade. There are 9 rows of 18 band members. How can you make a visual model to show the number of band members that are in the scramble band?

**Draw a quick picture to show your work.**

Answer:

Explanation:

There are 162 band members in the scramble band.

**Turn and Talk** Why is this a good visual model for the problem?

Answer:

We can find the number easily with the visual mode.

**Build Understanding**

1. Willow is working through some math homework. She comes to 7 × 13 = __. How can she use an area model to help her find the product?

Answer:

A. How can you draw a rectangle on the grid to show 7 × 13?

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**Draw and label the rectangle as a combination of two smaller rectangles.**

Answer:

B. How can you use the Distributive Property and the area model to make multiplying easier?

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Answer:

The distributive property made the area model easy by simplifying the numbers.

C. How can you find the product?

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Answer:

7 x 3 = 21, 7 x 10 = 70

70 + 21 = 91

The product of 7 and 13 is 91.

**Turn and Talk** How can you represent 7 × 13 again, thinking of a different sum for 13?

2. The next problem on Willow’s homework sheet is 3 × 19 = __. How can you use base-ten blocks to show 3 × 19?

**Draw a quick picture to show your work.**

A. How can you use the Distributive Property to break apart the base-ten blocks and find the product?

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Answer:

B. Draw a circle around the tens and a circle around the ones. Then write the numbers to solve.

Answer:

Explanation:

the product of 3 and 19 is 57.

**Check Understanding Math Board**

Question 1.

Find the product.

4 × 14 = ___

Answer:

4 x 14 = 56

Explanation:

Distributive property

4 x 10 = 40, 4 x 4 = 16

40 + 16 = 56

Therefore 4 x 14 = 56.

Question 2.

Draw an area model to represent the product.

3 × 11 = ___

Answer:

Explanation:

The product of 3 and 11 is 33.

**On Your Own**

Question 3.

How can you use an area model to show the product?

8 × 18 = ____

Answer:

Explanation:

The product of 18 and 8 is 144.

Question 4.

Draw an area model to represent the product.

5 × 14 = ___

Answer:

Explanation:

The product of 5 and 14 is 70.

Question 5.

Find the product.

7 × 16 = ___

Answer:

7 x 16 = 112

Explanation:

Distributive property

7 x 10 = 70, 7 x 6 = 42

70 + 42 = 112

Therefore, 7 x 16 = 112.

Question 6.

**Reason** Why does the Distributive Property make it easier to multiply a 2-digit number by a 1-digit number?

Answer:

It makes us to solve easily as 2 digit number will have only tens and ones, multiplying any number with tens is easy.

**I’m in a Learning Mindset!**

Was I able to finish my work? What helps me stay on task?

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