We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 3 Lesson 1 Multiply with 2 and 4** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 3 Lesson 1 Answer Key Multiply with 2 and 4

I Can use different strategies to multiply with the factors 2 and 4 and solve equal groups problems.

**Spark Your Learning**

Imagine you are studying monkeys and how they move. Each monkey has 2 arms and 2 legs. Choose any number of monkeys from 1 to 9 to study. How many arms and legs are there?

**Show Your Thinking.**

__ monkeys have ___ arms each. There are ___ arms.

___ monkeys have __ legs each. There are ___ legs.

There are ___ arms and legs.

Answer:

Explanation:

I chose the number 5

Each monkey has 2 arms and 2 legs

5 monkeys have 2 arms each. There are 10 arms.

5 x 2 = 10

5 monkeys have 2 legs each. There are 10 legs.

10 + 10 = 20

5 monkeys each have 4 arms and legs

5 x 4 = 20

So, There are 20 arms and legs.

**Turn and Talk** What is another way you could find the total number of arms and legs?

Answer:

The another way i can find is by adding

That is 5 groups of 4 arms and legs

4 + 4 + 4 + 4 + 4 = 20

So, There are 20 arms and legs.

**Build Understanding**

1. There are 2 octopuses. An octopus has 8 arms. How many arms do 2 octopuses have?

**Show equal groups.**

A. What addition equation can you write to show this problem?

__________________

B. What multiplication equation can you write to show this problem?

__________________

Answer:

Explanation:

There are 2 octopuses. An octopus has 8 arms

2 octopuses will have

Addition equation:

8 + 8 = 16

Multiplication equation:

2 x 8 = 16

So, 2 octopuses will have 16 arms.

**Connect to Vocabulary**

You previously learned how to add two of the same number to find a sum. Doubles are pairs of addends that are the same.

C. How many arms do 2 octopuses have?

__________________

Answer:

2 octopuses will have 16 arms.

**Turn and Talk** What do you notice about the product when there are 2 equal groups?

**Step It Out**

2. Paola studies 3 monkeys. Each monkey eats 2 cups of fruit in a day. How many cups of fruit do the 3 monkeys eat in a day?

**Use the number line to show the equal groups.**

A. How many groups are there? ___ groups

This is the number of jumps to show on the number line.

B. How many objects are in each group? ___ objects

This is the number that you count by.

Draw the jumps on the number line.

C. What does the final number you land on represent?

______________________

______________________

D. What multiplication equation can you write to model the problem? ______________________

E. How many cups of fruit do the 3 monkeys eat in a day? ______________________

Answer:

Explanation:

Paola studies 3 monkeys

The number of jumps to show on the number line is 3

Each monkey eats 2 cups of fruit in a day

The number that you count by 2

So, i drew 3 jumps counting by 2 on the number line

The multiplication equation that model the problem is

3 x 2 = 6

So, 3 monkeys will eat 6 cups of fruit in a day.

**Turn and Talk** How can you decide whether to count by 2s by showing jumps on a number line or to use doubles to find the product?

**Step It Out**

3. There are 4 starfish. This type of starfish has 7 arms. How many arms are there on 4 starfish?

4 × 7 =

Use a 2s fact and doubling to help.

A. Write a 2s fact with the factor 7.

______________

B. Then double the product. ______________

C. Write a multiplication equation to model the problem. ______________

D. How many arms are there on 4 starfish? ______________

Answer:

28 arms

Explanation:

There are 4 starfish

This type of starfish has 7 arms

4 x 7 =

2s fact with the number 7 is

2 x 7

14

Double of the product is 28

The equation that model the problem is 2 x 14 = 28

So, there are 28 arms on 4 starfish.

**Turn and Talk** Explain how knowing the product 2 × 7 helps you find the product 4 × 7.

Answer:

By finding the doubles fact of the product of 2 x 7 will give the product of 4 x 7.

2 x 7 = 14, 14 + 14 = 28

And 4 x 7 = 28.

**Check Understanding Math Board**

Question 1.

Andre is studying 5 birds and how they fly. Each bird has 2 wings. How many wings are there on 5 birds? _______

Answer:

10 wings

Explanation:

Andre is studying 5 birds and how they fly

Each bird has 2 wings

He can find in 2 ways

Add: 5 + 5 = 10

Multiply: 5 x 2 = 10

So, 10 wings are there on 5 birds.

**Use a 2s fact and doubling to find the product.**

Question 2.

4 × 6 =

2 × 6 = ___

___ + __ = ___

4 × 6 = ___

Answer:

4 x 6 = 24

Explanation:

4 x 6 =

2 x 6 = 12

12 + 12 = 24

So, 4 x 6 = 24.

Question 3.

4 × 9 =

2 × 9 = ___

___ + __ = ___

4 × 9 = ___

Answer:

4 x 9 = 36

Explanation:

4 x 9 =

2 x 9 = 18

18 + 18 = 36

So, 4 x 9 = 36.

**On Your Own**

Question 4.

**Use Structure** James feeds 2 groups of birds. Each group gets 10 cups of seeds.

- How many cups of seeds does James feed to 2 groups? ___
- How many cups of seeds would James feed to 4 groups? ____

Answer:

2 x 10 = 20

4 x 10 = 40

Explanation:

James feeds 2 groups of birds

Each group gets 10 cups of seeds

2 x 10 = 20

4 x 10 =

2 x 10 = 20

20 + 20 = 40

So, 4 x 10 = 40

20 cups of seeds James feed to 2 groups

40 cups of seeds James feed to 4 groups

Question 5.

**Repeated Reasoning** There are 2 turtles. Each turtle has 4 legs. How many legs do the 2 turtles have?

- Add. ___ + ___ = ___
- Multiply. ___ × ___ = ___
- The 2 turtles have ___ legs.

Answer:

8 legs

Explanation:

There are 2 turtles

Each turtle has 4 legs

Add: 4 + 4 = 8

Multiply: 2 x 4 = 8

So, the 2 turtles will have 8 legs.

Question 6.

**Open Ended** There are 2 lines of people waiting to enter the zoo. Each line has 9 people. Write and solve a problem using this information.

Answer:

There are 18 people in waiting to enter the Zoo

Explanation:

There are 2 lines of people waiting to enter the zoo

Each line has 9 people

Add: 9 + 9 = 18

Multiply: 2 x 9 = 18

So, there are 18 people in waiting to enter the Zoo.

Question 7.

**Use Tools** Terrence drives 4 miles each way between his home and the zoo. He drives 2 ways each day. How many miles does Terrence drive each day? Use a number line, draw equal groups, or write an equation to solve.

- How many miles does Terrence drive each day? ____

Answer:

Explanation:

Terrence drives 4 miles each way between his home and the zoo

He drives 2 ways each day

The number that i count by is 4

The number of jumps to show on the number line is 2

So, i drew 2 jumps counting by 4 on the number line

2 x 4 = 8

So, Terrence drive each day for 8 miles.

**On Your Own**

Question 8.

**STEM** Kangaroos are classified as mammals because they have fur and give birth to babies. Baby kangaroos are called joeys. A kangaroo mother can give birth to 5 joeys in her lifetime. Each joey has 2 arms and 2 legs.

- How many arms do 5 joeys have? ____
- Double the product to find the number of arms and legs the 5 joeys have. Complete.

___ + ____ = ____

Answer:

5 joeys have 20 arms and legs

Explanation:

Baby kangaroos are called joeys

A kangaroo mother can give birth to 5 joeys in her lifetime

Each joey has 2 arms and 2 legs

5 joeys will have 2 x 5 = 10 arms

Double the product to find the number of arms and legs the 5 joeys have

10 + 10 = 20

So, 5 joeys have 20 arms and legs.

**Use a 2s fact and doubling to find the product.**

Question 9.

4 × 8 =

2 × 8 = ____

___ + ___ = ___

4 × 8 = ___

Answer:

4 x 8 = 32

Explanation:

4 x 8 =

2 x 8 = 16

16 + 16 = 32

So, 4 x 8 = 32.

Question 10.

4 × 7 =

2 × 7 = ____

___ + ___ = ___

4 × 7 = ___

Answer:

4 x 7 = 28

Explanation:

4 x 7 =

2 x 7 = 14

14 + 14 = 28

So, 4 x 7 = 28.

Question 11.

4 × 5 =

2 × 5 = ____

___ + ___ = ___

4 × 5 = ___

Answer:

4 x 5 = 20

Explanation:

4 x 5 =

2 x 5 = 10

10 + 10 = 20

So, 4 x 5 = 20.

Question 12.

4 × 10 =

2 × 10 = ____

___ + ___ = ___

4 × 10 = ___

Answer:

4 x 10 = 40

Explanation:

4 x 10 =

2 x 10 = 20

20 + 20 = 40

So, 4 x 10 = 40.

**Find the product.**

Question 13.

2 × 6 = ___

Answer:

12

Explanation:

2 x 6 =

2 x 3 = 6

6 + 6 = 12

So, 2 x 6 = 12.

Question 14.

___ = 5 × 4

Answer:

20

Explanation:

5 x 4 =

4 x 5 =

2 x 5= 10

10 + 10 = 20

So, 4 x 5 = 5 x 4 = 20.

Question 15.

4 × 3 = ___

Answer:

12

Explanation:

4 x 3 =

2 x 3 = 6

6 + 6 = 12

So, 4 x 3 = 12.

**I’m in a Learning Mindset!**

What evidence do I have that I solved Problem 8 correctly?

_________________________________________