## Engage NY Eureka Math 3rd Grade Module 7 Lesson 32 Answer Key

### Eureka Math Grade 3 Module 7 Lesson 32 Sprint Answer Key

A

Mixed Multiplication

Answer:

Question 1.

2 × 1 =

Answer:

2 × 1 = 2.

Question 2.

2 × 2 =

Answer:

2 × 2 = 4.

Question 3.

2 × 3 =

Answer:

2 × 3 = 6.

Question 4.

4 × 1 =

Answer:

4 × 1 = 4.

Question 5.

4 × 2 =

Answer:

4 × 2 = 8.

Question 6.

4 × 3 =

Answer:

4 × 3 = 12.

Question 7.

1 × 6 =

Answer:

1 × 6 = 6.

Question 8.

2 × 6 =

Answer:

2 × 6 = 12.

Question 9.

1 × 8 =

Answer:

1 × 8 = 8.

Question 10.

2 × 8 =

Answer:

2 × 8 = 16.

Question 11.

3 × 1 =

Answer:

3 × 1 = 3.

Question 12.

3 × 2 =

Answer:

3 × 2 = 6.

Question 13.

3 × 3 =

Answer:

3 × 3 = 9.

Question 14.

5 × 1 =

Answer:

5 × 1 = 5.

Question 15.

5 × 2 =

Answer:

5 × 2 = 10.

Question 16.

5 × 3 =

Answer:

5 × 3 = 15.

Question 17.

1 × 7 =

Answer:

1 × 7 = 7.

Question 18.

2 × 7 =

Answer:

2 × 7 = 14.

Question 19.

1 × 9 =

Answer:

1 × 9 = 9.

Question 20.

2 × 9 =

Answer:

2 × 9 = 18.

Question 21.

2 × 5 =

Answer:

2 × 5 = 10.

Question 22.

2 × 6 =

Answer:

2 × 6 = 12.

Question 23.

2 × 7 =

Answer:

2 × 7 = 14.

Question 24.

5 × 5 =

Answer:

5 × 5 = 25.

Question 25.

5 × 6 =

Answer:

5 × 6 = 30.

Question 26.

5 × 7 =

Answer:

5 × 7 = 35.

Question 27.

4 × 5 =

Answer:

4 × 5 = 20.

Question 28.

4 × 6 =

Answer:

4 × 6 = 24.

Question 29.

4 × 7 =

Answer:

4 × 7 = 28.

Question 30.

3 × 5 =

Answer:

3 × 5 = 15.

Question 31.

3 × 6 =

Answer:

3 × 6 = 18.

Question 32.

3 × 7 =

Answer:

3 × 7 = 21.

Question 33.

2 × 7 =

Answer:

2 × 7 = 14.

Question 34.

2 × 8 =

Answer:

2 × 8 = 16.

Question 35.

2 × 9 =

Answer:

2 × 9 = 18.

Question 36.

5 × 7 =

Answer:

5 × 7 = 35.

Question 37.

5 × 8 =

Answer:

5 × 8 = 40.

Question 38.

5 × 9 =

Answer:

5 × 9 = 45.

Question 39.

4 × 7 =

Answer:

4 × 7 = 28.

Question 40.

4 × 8 =

Answer:

4 × 8 = 32.

Question 41.

4 × 9 =

Answer:

4 × 9 = 36.

Question 42.

3 × 7 =

Answer:

3 × 7 = 21.

Question 43.

3 × 8 =

Answer:

3 × 8 = 24.

Question 44.

3 × 9 =

Answer:

3 × 9 = 27.

B

Mixed Multiplication

Answer:

Question 1.

5 × 1 =

Answer:

5 × 1 = 5.

Question 2.

5 × 2 =

Answer:

5 × 2 = 10.

Question 3.

5 × 3 =

Answer:

5 × 3 = 15.

Question 4.

3 × 1 =

Answer:

3 × 1 = 3.

Question 5.

3 × 2 =

Answer:

3 × 2 = 6.

Question 6.

3 × 3 =

Answer:

3 × 3 = 9.

Question 7.

1 × 7 =

Answer:

1 × 7 = 7.

Question 8.

2 × 7 =

Answer:

2 × 7 =14.

Question 9.

1 × 9 =

Answer:

1 × 9 = 9.

Question 10.

2 × 9 =

Answer:

2 × 9 =18.

Question 11.

2 × 1 =

Answer:

2 × 1 = 2.

Question 12.

2× 2 =

Answer:

2 × 2 = 4.

Question 13.

2 × 3 =

Answer:

2 × 3 = 6.

Question 14.

4 × 1 =

Answer:

4 × 1 = 4.

Question 15.

4 × 2 =

Answer:

4 × 2 = 8.

Question 16.

4 × 3 =

Answer:

4 × 3 = 12.

Question 17.

1 × 6 =

Answer:

1 × 6 = 6.

Question 18.

2 × 6 =

Answer:

2 × 6 = 12.

Question 19.

1 × 8 =

Answer:

1 × 8 = 8.

Question 20.

2 × 8 =

Answer:

2 × 8 = 16.

Question 21.

5 × 5 =

Answer:

5 × 5 = 25.

Question 22.

5 × 6 =

Answer:

5 × 6 = 30.

Question 23.

5 × 7 =

Answer:

5 × 7 = 35.

Question 24.

2 × 5 =

Answer:

2 × 5 = 10.

Question 25.

2 × 6 =

Answer:

2 × 6 = 12.

Question 26.

2 × 7 =

Answer:

2 × 7 = 14.

Question 27.

3 × 5 =

Answer:

3 × 5 = 15.

Question 28.

3 × 6 =

Answer:

3 × 6 = 18.

Question 29.

3 × 7 =

Answer:

3 × 7 = 21.

Question 30.

4 × 5 =

Answer:

4 × 5 = 20.

Question 31.

4 × 6 =

Answer:

4 × 6 = 24.

Question 32.

4 × 7 =

Answer:

4 × 7 = 28.

Question 33.

5 × 7 =

Answer:

5 × 7 = 35.

Question 34.

5 × 8 =

Answer:

5 × 8 = 40.

Question 35.

5 × 9 =

Answer:

5 × 9 = 45.

Question 36.

2 × 7 =

Answer:

2 × 7 = 14.

Question 37.

2 × 8 =

Answer:

2 × 8 = 16.

Question 38.

2 × 9 =

Answer:

2 × 9 = 18.

Question 39.

3 × 7 =

Answer:

3 × 7 = 21.

Question 40.

3 × 8 =

Answer:

3 × 8 = 24.

Question 41.

3 × 9 =

Answer:

3 × 9 = 27.

Question 42.

4 × 7 =

Answer:

4 × 7 = 28.

Question 43.

4 × 8 =

Answer:

4 × 8 = 32.

Question 44.

4 × 9 =

Answer:

4 × 9 = 36.

### Eureka Math Grade 3 Module 7 Lesson 32 Problem Set Answer Key

Question 1.

Look at the circles you shaded today. Glue a circle that is about one-half shaded in the space below.

a. Explain the strategy you used to shade in one-half of your circle.

b. Is your circle exactly one-half shaded? Explain your answer.

Answer:

a. I have first check the number of shaded parts and unshaded parts in the given circle. Later, I have tried to balance the count between the parts.

b. Yes, my circle is one-half shaded because the count of shaded and unshaded parts in the circle are equal.

Explanation:

a.

I have first check the number of shaded parts and unshaded parts in the given circle. Later, I have tried to balance the count between the parts.

b. Yes, my circle is one-half shaded because the count of shaded and unshaded parts in the circle are equal.

Question 2.

Julian shades 4 circles as shown below.

a. Write the letters of the circles that are about one-half shaded.

b. Choose one circle from your answer to Part (a), and explain how you know it’s about one-half shaded.

Circle _______

c. Choose one circle that you did not list in Part (a), and explain how it could be changed so that it is about one-half shaded.

Circle _______

Answer:

a. Circle A,C and D the letters of the circles that are about one-half shaded.

b. Well, Circle A is one-half sided shaded because when u half fold it, u get to notice that one part is shaded and other half part not shaded.

c. Circle C is not one-half sided shaded. You can make it into one- half shaded by shading the part which is not shaded.

Question 3.

Read the clues to help you shade the circle below.

a. Divide the circle into 4 equal parts.

b. Shade in 2 parts.

c. Erase a small circle from each shaded part.

d. Estimate to draw and shade 2 circles in the unshaded parts that are the same size as the circles you erased in Part (c).

Answer:

a.

b.

c.

d.

Explanation:

a.

Circle is divided into four equal parts and labelling the parts ends as A,B,C,D with O as center.

b.

ABD Half part of ABCD circle is been shaded using blue color.

c.

A small portion of circles are erased from ABD shaded part of the circle.

d.

A small portion which are erased from shaded part of the circle are shaded in the unshaded part of the circle.

Question 4.

4. Did you shade in one-half of the circle in Problem 3? How do you know?

Answer:

Yes, I have shaded in one-half of the circle in Problem 3 because half part of a circle is semi- circle( one-half), where I have shaded it. Number of shaded parts to unshaded parts are equal.

Explanation:

Half part in a circle is semi-circle. Here, circle half part is ABD which is been shaded in blue color and other unshaded.

### Eureka Math Grade 3 Module 7 Lesson 32 Exit Ticket Answer Key

Riddian shades a circle as shown below.

Question 1.

Is Riddian’s shape about one-half shaded? How do you know?

Answer:

Yes, Riddian’s shape is about one-half shaded. I know it because number of shaded regions and number of unshaded regions are same in the shape.

Explanation:

Number of shaded regions and number of unshaded regions are same in the shape. Yes, Riddian’s shape is about one-half shaded.

Question 2.

Estimate to shade about one-half of the circle in an unusual way.

Answer:

Explanation:

The circle is half shaded with grey color with different shapes erased and half part is unshaded with different shapes shaded in it. Shading part and the different shapes in it are the same in shading and unshaded way.

**Eureka Math Grade 3 Module 7 Lesson 32 Homework Answer Key**

Question 1.

Estimate to finish shading the circles below so that each circle is about one-half shaded.

Answer:

Explanation:

Number of shaded parts to that of number of unshaded parts are equalized to make it one-half shaded.

Question 2.

Choose one of the circles in Problem 1, and explain how you know it’s about one-half shaded.

Circle _____

Answer:

I have taken “a” circle in the problem1. I know its not one half shaded because the number of shaded parts are not equal to unshaded parts in the circle.

Explanation:

Question 3.

Can you say the circles in Problem 1 are exactly one-half shaded? Why or why not?

Answer:

Well, all circles in problem 1 are not one-half shaded because the shaded parts are not equal to unshaded parts in the respective circles.

Explanation:

They are not one-half shaded yet can be made them into one-half shaded.

Question 4.

Marissa and Jake shade in circles as shown below.

a. Whose circle is about one-half shaded? How do you know?

b. Explain how the circle that is not one-half shaded can be changed so that it is one-half shaded.

Answer:

a. Well, Marissa’s circle is one-half shaded because its parts are shaded in equal lengths to that of unshaded parts.

b. Match the number of shaded parts to the unshaded parts, by this we can make the circle that is not one-half shaded can be changed so that it is one-half shaded.

Question 5.

Estimate to shade about one-half of each circle below in an unusual way.

Answer:

Explanation:

Three circles A,B,C are one-half shaded in an unusual way.