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

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.
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.
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.
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?
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.
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.
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.

Question 1.
Explain how you divided 12 counters into equal groups.
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?
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.
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 = ____.
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.
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.

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.
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?
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?
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)
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.
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.

Question 12.
How can I use models to understand division?
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.
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.
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?
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?
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?
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.