All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 5 Lesson 1 Model Division** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 5 Lesson 1 Model Division

**Build It**

Find how many in each group. Divide 12 counters into 3 equal groups. How many are in each group?

1. Partition one counter at a time into a group until all of the counters are gone.

Answer:

12 ÷ 3 = 4 in each group.

Explanation:

Given,

No of the counters are 12

Those are divided into 3 equal groups.

12 ÷ 3 = 4 in each group.

2. Draw the groups of counters.

Answer:

No of the counters given is 12.

Those are divided into 3 groups.

Explanation:

3. Write a division sentence or a number sentence that uses division.

12 counters were divided into ___ groups.

There are ____ counters in each group,

So, 12 ÷ 3 = ____ in each group. ← SAY: Twelve divided by three equals four.

Answer:

The division sentence is 12 ÷ 3 = 4.

There are 4 counters in each group,

So, 12 ÷ 3 = 4 in each group.

Explanation:

Given,

There are 12 counters that were divided into 3 groups.

Therefore we can write the division sentence as 12 ÷ 3 = 4.

So, 12 ÷ 3 = 4 in each group.

SAY: Twelve divided by three equals four.

**Try It**

Find how many groups. Place 12 counters in groups of 3. How many groups are there?

Answer:

12 ÷ 3 = 4 in each group.

Explanation:

There are 12 counters placed in a group of 3.

12 ÷ 3 = 4 in each group.

Make groups of 3 until all the counters are gone. Draw the groups.

Answer:

12 ÷ 3 = 4

Explanation:

Write a division sentence. 12 counters were divided into equal groups of ____.

There are ____ groups.

12 ÷ 3 = ____ groups. ← SAY: Twelve divided by three equals four.

Answer:

12 ÷ 3 = 4 groups.

Explanation:

The division sentence is 12 ÷ 3 = 4 groups.

12 counters were divided into equal groups of 4.

Hence there are 4 groups.

12 ÷ 3 = 4 groups.

**Talk About It**

Question 1.

Explain how you divided 12 counters into equal groups.

Answer:

12 ÷ 3 = 4 in each groups.

Explanation:

Given,

There are 12 counters that are divided into equal groups.

12 ÷ 4 = 3 groups.

Question 2.

When you divided the counters into groups of 3, how did you find the number of equal groups?

Answer:

By dividing the number of counters by the Number of equal groups = The Number in each group.

Explanation:

Number of counters ÷ Number of equal groups = Number in each group

Example:

No of counters = 10

Number of equal groups = 2

Number in each group = No of counters ÷ Number of equal groups

10 ÷ 2 = 5 in each group

Question 3.

**Mathematical PRACTICE 3 Draw a Conclusion** Explain the difference between the way you partitioned the counters in the first activity to the way you partitioned them in the second activity.

Answer:

In the first activity, the counters are divided with each number of equal groups.

For example

There are 12 counters that were divided into 3 equal groups.

12 ÷ 3 =4 in each group.

Therefore there are 4 equal counters in each group.

**Practice It**

Question 4.

Partition 8 counters one at a time to find the number of counters in each group. Draw the counters.

There are ___ counters in each group; 8 ÷ 2 = ____.

Answer:

4 counters; 8 ÷ 2 = 4

Explanation:

There are 4 counters in each group

The division sentence is 8 ÷ 2 = 4

Question 5.

Circle equal groups of 5 to find the number of equal groups.

There are ____ equal groups; 15 ÷ ___ = 5.

Answer:

There are 3 equal groups.

15 ÷ 3 = 5.

Explanation:

There are 5 equal groups. I circled equal groups of 5 to find the number of equal groups.

15 ÷ 3 = 5.

Hence the number of equal groups is 5.

Question 6.

Algebra Use counters to find each unknown.

Answer:

Explanation:

A Division sentence is a number sentence that uses the operation of division.

To find the division sentence

Number of counters ÷ Number of equal groups = Number in each group

9 ÷ 3 = 3

14 ÷ 2 = 7

15 ÷ 3 = 5

6 ÷ 2 = 3

Question 7.

Choose one division sentence from Exercise 6. Write and solve a real-world problem for that number sentence.

Answer:

Let us choose 15 ÷ 3 = 5

The real word problem for that number sentence is 18 ÷ 9 = 2

Explanation:

A Division sentence is a number sentence that uses the operation of division.

To find division sentence

Number of counters ÷ Number of equal groups = Number in each group

Let us choose one division sentence from Exercise 6 is 15 ÷ 3 = 5

Let us assume another division sentence to solve a real-world problem

Number of counters = 18

Number of equal groups = 9

Number in each group = 18 ÷ 9 = 2

**Apply It**

**Draw a mode! to solve. Then write a number sentence.**

Question 8.

A florist needs to make 5 equal-sized bouquets from 25 flowers. How many flowers will be in each bouquet?

Answer:

25 ÷ 5 = 5

Explanation:

Given,

No of equal-sized bouquets florist made = 5

No of flowers = 25

To find: How many flowers will be in each bouquet?

25 ÷ 5 = 5

There will be 5 flowers in each bouquet.

Question 9.

**Mathematical PRACTICE 4 Model Math** Mrs. Wilson called the flower shop to place an order for 9 flowers. She wants an equal number of roses, daisies, and tulips. How many of each kind of flower will Mrs. Wilson receive?

Answer:

9 ÷ 3 = 3

Explanation:

Given,

Mrs. Wilson placed an order for 9 flowers.

There are an equal number of roses, daisies, and tulips = 3

9 ÷ 3 = 3

Hence there are 3 kinds of flowers Mrs. Wilson received.

Question 10.

**Mathematical PRACTICE 4 Make a Plan** Mr. Cutler bought 2 dozen roses to equally arrange in 4 vases. How many roses will he put in each vase? (Hint: 1 dozen = 12)

Answer:

24 ÷ 4 = 6 roses.

Explanation:

Given,

No of roses Mr. Cutler bought = 2 dozen

1 dozen = 12

2 dozen = 12 × 2 = 24

No of the vases are 4

To find: How many roses will he put in each vase?

24 ÷ 4 = 6 roses.

Hence there are 6 roses he will put in each vase.

Question 11.

**Mathematical PRACTICE 2 Reason** Can 13 counters be partitioned equally into groups of 3? Explain.

Answer:

No, 13 counters cannot be partitioned equally into groups of 3.

Explanation:

Given,

13 counters.

To be partitioned equally into groups of 3.

13 ÷ 3 = 4.33 which is not possible to partition the counter equally.

**Write About It**

Question 12.

How can I use models to understand division?

Answer:

The division undoes multiplication and the multiplication undoes division. So we use inverse operation.

Explanation:

For example:

6 × 3 = 18

The division fact is 18 ÷ 6 = 3

### McGraw Hill My Math Grade 3 Chapter 5 Lesson 1 My Homework Answer Key

**Practice**

Question 1.

Partition 6 counters, one at a time, to find the number of counters in each group. Draw the counters.

____ counters were divided into 2 groups; 6 ÷ 2 = ____ counters in each group.

Answer:

There are 3 counters were divided into 2 groups;

6 ÷ 2 = 3 counters in each group.

Explanation:

I have drawn the counters.

There are 3 counters were divided into 2 groups;

6 ÷ 2 = 3 counters in each group.

Question 2.

Circle each group of 4 to find the number of equal groups.

____ counters were divided into groups of 4; 16 ÷ 4 = ___ groups.

Answer:

16 ÷ 4 = 4 groups.

Explanation:

16 counters were divided into groups of 4; 16 ÷ 4 = 4 groups.

**Problem Solving**

**Draw a model to solve. Then write a number sentence.**

Question 3.

Nola has 16 bracelets. She hangs an equal number of bracelets on 2 hooks. How many bracelets are on each hook?

Answer:

16 ÷ 2 = 8 bracelets.

Explanation:

Given,

No of the bracelets Nola has = 16

She hangs an equal number of bracelets = 2 hooks

16 ÷ 2 = 8 bracelets.

Hence there are bracelets are on each hook.

Question 4.

**Mathematical PRACTICE 4 Model Math** Noah rolled 18 large snowballs to make snowmen. He used 3 snowballs for each snowman. How many snowmen did Noah make?

Answer:

18 ÷ 3 = 6 snowmen.

Explanation:

Given,

No of the snowballs Noah rolled to make snowmen = 18

No of snowman he used to make snowman = 3

18 ÷ 3 = 6 snowmen.

Hence there are 6 snowmen Noah made.

Question 5.

There are 8 mittens drying on the heater. Each student has 2 mittens, How many students have mittens drying on the heater?

Answer:

8 ÷ 2 = 4 students have mittens.

Explanation:

Given,

No of mittens drying on the heater = 8

No of the students has mittens = 2

8 ÷ 2 = 4 students have mittens.

Therefore there are 4 students who have mittens drying on the heater.

**Vocabulary Check**

**Draw a line to connect each vocabulary word with its definition.**

Answer:

I have drawn a line to connect each vocabulary word with its definition.

Explanation: