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