Students of Grade 2 can get a strong foundation on mathematics concepts by referring to the Go Math Grade 2 Chapter 3 Answer Key Facts and Relationships. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping.

## Go Math Grade 2 Chapter 3 Answer Key Facts and Relationships

To achieve high score s in Grade 2, students need to solve all questions and exercises included in Go Math Grade 2. So, teachers and students can find this Go Math Answer Key for Grade 2 more helpful in raising students’ scores and supporting teachers to educate the students. With the help of the Go Math Primary School Grade 2 Answer Key, you can think deeply regarding what you are learning, and you will really learn math easily just like that.

Basic Facts and Relationships

Parrot fish live near coral reefs in tropical ocean waters. They use their sharp teeth to scrape food off of the coral. Suppose 10 parrot fish are eating at a coral reef. 3 of the fish swim away. How many fish are still eating?

The number of Parrot fish is still eating = 7.

Explanation:
In the above-given question,
given that,
10 Parrot fish are eating at a coral reef.
3 of the fish swim away.
10 – 3 = 7.
So the number of Parrot fish is still eating = 7.

### Basic Facts and Relationships Show What You Know

Use the picture. Use + and = to complete the addition sentence.

Question 1.

The number of apples = 4.

Explanation:
In the above-given question,
given that,
the number of red apples = 3.
the number of green apples = 1.
3 + 1 = 4.
so the number of apples = 4.

Question 2.

The number of stars = 5.

Explanation:
In the above-given question,
given that,
the number of blue stars = 2.
the number of orange stars = 3.
2 + 3 = 5.
so the number of stars = 5.

Sums to 10

Write the sum.

Question 3.

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 3.
4 + 3 = 7.
so the sum is 7.

Question 4.

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 0.
5 + 0 = 5.
so the sum is 5.

Question 5.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 7.
2 + 7 = 9.
so the sum is 9.

Question 6.

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 2.
6 + 2 = 8.
so the sum is 8.

Question 7.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 1.
9 + 1 = 10.
so the sum is 10.

Doubles and Doubles Plus One

Question 8.

The sum is 6.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 3.
3 + 3 = 6.
so the sum is 6.

Question 9.

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 4.
3 + 4 = 7.
so the sum is 7.

### Basic Facts and Relationships Vocabulary Builder

Visualize It

Sort the review words in the graphic organizer.

The Addition words are plus, count on.
The Subtraction words are minus, count back.

Explanation,
In the above-given question,
given that,
the Review words are Addition, Subtraction, plus, minus, equals, count on, and count back.
The Addition words are plus, count on.
The Subtraction words are minus, count back.

Understand Vocabulary

Question 1.
Circle the addition sentence. 3 + 6 = 9 9 − 6 = 3

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 6.
3 + 6 = 9.
so the sum is 9.

Question 2.
Circle the subtraction sentence. 8 + 2 = 10 10 − 2 = 8

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 2.
10 – 2 = 8.
so the difference is 8.

Question 3.
Circle the count on fact. 5 − 1 = 4 4 + 1 = 5

The count on fact is 4 + 1 = 5.

Explanation:
In the above-given question,
given that,
the count on fact is 4 + 1 = 5.

Question 4.
Circle the count back fact. 8 − 2 = 6 6 + 2 = 8

The count back fact is 8 – 2 = 6.

Explanation:
In the above-given question,
given that,
the count back fact is 8 – 2 = 6.

### Basic Facts and Relationships Game: Caterpillar Chase

Materials

Play with a partner.
1. Put your cube on START.
2. Toss the , and move that many spaces.
4 Take turns. The first person to get to FINISH wins.

The sum is 4.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 2.
2 + 2 = 4.
so the sum is 4.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 2.
8 – 2 = 6.
so the difference is 6.

### Basic Facts and Relationships Vocabulary Game

Going Places with GOMATH! Words

Going to a Coral Reef

For 2 players
Materials

How to Play

1. Each player chooses a and puts it on START.
2. Toss the to take a turn. Move your that many spaces around the track to the right.
3. If you land on these squares:
White Space Tell the meaning of the math word or use it in a sentence. If you are correct, jump to the next space with that word.
Green Space Follow the directions on the space. If there are no directions, stay where you are.
4. The first player to reach FINISH wins.

Game

HOW TO PLAY

1. Each player chooses a and puts it on START.
2. Toss the to take a turn. Move your that many spaces around the track to the right.
3. If you land on these squares:
White Space Tell the meaning of the math word or use it in a sentence. If you are correct, jump to the next space with that word.
Green Space Follow the directions on the space. If there are no directions, stay where you are.
4. The first player to reach FINISH wins.

The Go Maths word = is equal to.

Explanation:
In  the above-given question,
given that,
the Go Math word is equal to.
3 is equal to 3.
3 = 3.

The word is different.

Explanation:
In the above-given question,
given that,
the word is difference.
10 – 2 = 8.
so the difference is 8.

The Write Way

Reflect

Choose one idea. Write about it in the space below.
• Think about what you did in math class today. Complete this sentence:
I learned that I _____.
• Write your own story problem that uses addition. Then ask a partner to solve the problem.
• Use the words addends and sum to explain how to solve this problem:
12 + 23 = _____.

The Sum is 35.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 23.
12 + 23 = 35.
so the sum is 35.

### Lesson 3.1 Use Doubles Facts

Essential Question
How can you use doubles facts to find sums for near doubles facts?

Listen and Draw

Draw a picture to show the problem. Then write an addition sentence for the problem.

The number of toy cars = 6.

Explanation:
In the above-given question,
given that,
the number of toy cars is 3 + 3 = 6.
3 + 2 + 1 = 6.
So the number of toy cars = 6.

Math Talk
MATHEMATICAL PRACTICES

Represent Explain why 4 + 4 = 8 is called a doubles fact.

The number is 8.

Explanation:
In the above-given question,
given that,
numbers are 4 and 4.
we can write it as 3 + 1 = 4.
4 + 3 + 1 = 4.
so the number 4 + 4 = 8 is a double fact.

Model and Draw

You can use doubles facts to find sums for other facts.

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 4.
3 + 4 = 7.
so the sum is 7.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
so the sum is 13.

Share and Show MATH BOARD

Write a doubles fact you can use to find the sum. Write the sum.

Question 1.
2 + 3 = __5___
__2_ + __1_ = __3___

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 3.
2 + 3 = 5.
2 + 2 + 1 = 5
so the sum is 5.

Question 2.
4 + 5 = _9__
_4__ + __1_ = ___5__

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 5.
4 + 5 = 9.
4 + 4 + 1 = 9.
so the sum is 9.

Question 3.
4 + 3 = __7_
__2_ + _1__ = ___3__

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 3.
4 + 3 = 7.
4 + 2 + 1 = 7.
so the sum is 7.

Question 4.
6 + 7 = __13_
__6_ + _1_ = ___7__

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
6 + 6 + 1 = 13.
so the sum is 13.

Question 5.
5 + 6 = __11_
__5_ + _1__ = __6___

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
5 + 5 + 1 = 11.
so the sum is 11.

Question 6.
8 + 7 = __15_
__6_ + _1__ = __7___

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
8 + 6 + 1 = 15.
so the sum is 15.

Write a doubles fact you can use to find the sum. Write the sum.

Question 7.
5 + 4 = __9_
_3__ + __1_ = ___5__

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
5 + 3 + 1 = 9.
so the sum is 9.

Question 8.
6 + 5 = _11__
__4_ + __1_ = ___5__

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 5.
6 + 5 = 11.
6 + 4 + 1 = 11.
so the sum is 11.

Question 9.
6 + 7 = __13_
__6_ + __1_ = __7___

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 11.
6 + 6 + 1 = 11.
so the sum is 11.

Question 10.
7 + 8 = __15_
__7_ + __1_ = __8___

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 8.
7 + 8 = 15.
7 + 7 + 1 = 15
so the sum is 15.

Question 11.
8 + 9 = __17_
__8_ + __1_ = __9___

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 9.
8 + 9 = 17.
8 + 8 + 1 = 17.
so the sum is 17.

Question 12.
5 + 6 = __11_
__5_ + _1__ = __6___

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
5 + 5 + 1 = 11.
so the sum is 11.

Question 13.
7 + 6 = __13_
__5_ + _1__ = __6___

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
7 + 6 + 1 = 13.
so the sum is 13.

Question 14.
9 + 8 = __17_
__7_ + _1__ = __8___

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 8.
9 + 8 = 17.
9 + 7 + 1 = 17.
so the sum is 17.

Question 15.
THINK SMARTER
Mr. Norris wrote a doubles fact. It has a sum greater than 6. The numbers that he added are each less than 6. What fact might he have written?

____7____

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 3.
4 + 3 = 7.
4 + 2 + 1 = 7.
so the sum is 7.

Solve. Write or draw to explain.

Question 16.
MATHEMATICAL PRACTICE Analyze
Andrea has 8 red buttons and 9 blue buttons. How many buttons does Andrea have?

_17_ buttons

The number of buttons = 17.

Explanation:
In the above-given question,
given that,
Andrea has 8 red buttons and 9 blue buttons.
8 + 9 = 17.
So the number of buttons = 17.

Question 17.
GO DEEPER
Henry sees 3 rabbits. Callie sees double that number of rabbits. How many more rabbits does Callie see than Henry?

_9_ more rabbits

The number of rabbits Callie sees = 9.

Explanation:
In the above-given question,
given that,
Henry sees 3 rabbits.
Callie sees double that number of rabbits.
3 + 6 = 9.
3 + 5 + 1 = 9.
The number of rabbits Callie sees = 9.
Question 18.
THINK SMARTER
Could you use the doubles fact to find the sum for 4 + 5? Choose Yes or No.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 5.
4 + 5 = 9.
4 + 4 + 1 = 9.
so the sum is 9.

TAKE HOME ACTIVITY
• Ask your child to write three different doubles facts with sums less than 17.

### Use Doubles Facts Homework & Practice 3.1

Write a doubles fact you can use to find the sum. Write the sum.

Question 1.
2 + 3 = _5_
_2_ + __1_ = __3_

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 3.
2 + 3 = 5.
2 + 2 + 1 = 5.
so the sum is 5.

Question 2.
7 + 6 = _13_
_5_ + __1_ = _6__

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
7 + 6 + 1 = 13.
so the sum is 13.

Question 3.
3 + 4 = _7_
_3_ + _1__ = _4__

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 4.
3 + 4 = 7.
3 + 3 + 1 = 7.
so the sum is 7.

Question 4.
8 + 9 = _17_
_8_ + _1__ = __9_

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 9.
8 + 9 = 17.
8 + 8 + 1 = 17.
so the sum is 17.

Problem Solving

Solve. Write or draw to explain.

Question 5.
There are 4 ants on a log. Then 5 ants crawl onto the log. How many ants are on the log now?
__9_ ants

The number of ants on the log = 9.

Explanation:
In the above-given question,
given that,
There are 4 ants on a log.
Then 5 ants crawl onto the log.
4 + 5 = 9.
The number of ants on the log = 9.

Question 6.
WRITE Math
Draw or write to show two ways to use a doubles fact to find 6 + 7.
___6_+_7_=_13_______
__6_+__1__=_7______

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
6 + 6 + 1 = 13.
so the sum is 13.

Lesson Check

Question 1.
Write a doubles fact you can use to find the sum. Write the sum.
4 + 3 = _7__
_2_ + _1_ = __3_

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 3.
4 + 3 = 7.
4 + 2 + 1 = 7.
so the sum is 7.

Question 2.
Write a doubles fact you can use to find the sum. Write the sum.
6 + 7 = _13_
_6_ + _1_ = _7__

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
6 + 6 + 1 = 13.
so the sum is 13.

Spiral Review

Question 3.
There are 451 children in Lia’s school. Write a number greater than 451.
_452___

The number of children in Lia’s school = 452.

Explanation:
In the above-given question,
given that,
There are 451 children in Lia’s school.
The number greater than 451 is 452.
452.
The number of children in Lia’s school = 452.

Question 4.
What number is shown with these blocks?

The number is 152.

Explanation:
In the above-given question,
given that,
there is 1 hundred block, 4 tens block and 12 ones blocks.
100 + 40 + 12.
152.
The number of blocks = 152

Question 5.
Write a number with the digit 8 in the tens place.
_182__

The number is 182.

Explanation:
In the above-given question,
given that,
there is 1 hundred block, 8 tens block, and 2 one blocks.
100 + 80 + 2.
182.
The number of blocks = 182

Question 6.
Circle the sum that is an even number.
2 + 3 = 5
3 + 4 = 7
4 + 5 = 9
6 + 6 = 12

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 6.
6 + 6 = 12.
6 + 5 + 1 = 12.
so the sum is 12.

### Lesson 3.2 Practice Addition Facts

Essential Question
What are some ways to remember sums?

Listen and Draw

Draw pictures to show the problems.
______________

______________

Math Talk
MATHEMATICAL PRACTICES
Analyze Explain how the two problems are alike. Explain how they are different.

Model and Draw

These are some ways to remember facts.

Share and Show MATH BOARD

Write the sums.

Question 1.
4 + 4 = _8__
4 + 5 = _9__

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 4.
4 + 4 = 8.
so the sum is 8.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 5.
4 + 5 = 9.
so the sum is 9.

Question 2.
5 + 0 = __5_
2 + 0 = __2__

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 0.
5 + 0 = 5.
so the sum is 5.

The sum is 2.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 0.
2 + 0 = 2.
so the sum is 2.

Question 3.
3 + 8 = __11_
8 + 3 = _11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 8.
3 + 8 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 3.
8 + 3 = 11.
so the sum is 11.

Question 4.
_10_ = 5 + 5
_9_ = 5 + 4

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 5.
5 + 5 = 10.
so the sum is 10.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

Question 5.
5 + 7 = __12_
7 + 5 = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 + 5 = 12.
so the sum is 12.

Question 6.
_14_ = 7 + 7
__15_ = 7 + 8

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 7.
7 + 7 = 14.
so the sum is 14.

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 8.
7 + 8 = 15.
so the sum is 15.

Question 7.
_10_ = 3 + 7
_10_ = 7 + 3

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 7.
3 + 7 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 + 3 = 10.
so the sum is 10.

Question 8.
9 + 3 = _12_
3 + 9 = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 3.
9 + 3 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
so the sum is 12.

Question 9.
_12_ = 6 + 6
__11_ = 6 + 5

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 6.
6 + 6 = 12.
so the sum is 12.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 5.
6 + 5 = 11.
so the sum is 11.

Write the sums.

Question 10.
7 + 1 = _8_
1 + 7 = _8_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 1.
7 + 1 = 8.
so the sum is 8.

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 7.
1 + 7 = 8.
so the sum is 8.

Question 11.
_4_ = 4 + 0
_9_ = 9 + 0

The sum is 4.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 0.
4 + 0 = 4.
so the sum is 4.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 0.
9 + 0 = 9.
so the sum is 9.

Question 12.
5 + 5 = _10_
5 + 4 = _9_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 5.
5 + 5 = 10.
so the sum is 10.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

Question 13.
8 + 2 = _10_
2 + 8 = _10_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 2.
8 + 2 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 8.
2 + 8 = 10.
so the sum is 10.

Question 14.
3 + 3 = _6_
3 + 4 = _7_

The sum is 6.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 3.
3 + 3 = 6.
so the sum is 6.

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 4.
3 + 4 = 7.
so the sum is 7.

Question 15.
7 + 8 = _15_
8 + 7 = _15_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 8.
7 + 8 = 15.
so the sum is 15.

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

Question 16.
_5_ = 4 + 1
_5_ = 1 + 4

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 1.
4 + 1 = 5.
so the sum is 5.

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 4.
1 + 4 = 5.
so the sum is 5.

Question 17.
0 + 7 = _7_
0 + 6 = _6_

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 0 and 7.
0 + 7 = 7.
so the sum is 7.

The sum is 6.

Explanation:
In the above-given question,
given that,
the numbers are 0 and 6.
0 + 6 = 6.
so the sum is 6.

Question 18.
8 + 8 = _16_
8 + 9 = _17_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 8.
8 + 8 = 16.
so the sum is 16.

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 9.
8 + 9 = 17.
so the sum is 17.

Question 19.
5 + 3 = __8_
3 + 5 = _8_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 3.
5 + 3 = 8.
so the sum is 8.

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 5.
3 + 5 = 8.
so the sum is 8.

Question 20.
_18_ = 9 + 9
_17_ = 9 + 8

The sum is 18.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 9.
9 + 9 = 18.
so the sum is 18.

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 8.
9 + 8 = 17.
so the sum is 17.

Question 21.
6 + 7 = _13_
7 + 6 = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
so the sum is 13.

Question 22.
THINK SMARTER
Sam painted 3 pictures. Ellie painted double that number of pictures. How many pictures did they paint?

The number of pictures they paint = 9.

Explanation:
In the above-given question,
given that,
Sam painted 3 pictures.
Ellie painted double that number of pictures.
3 + 6 = 9.
the number of pictures they paint = 9.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 23.
GO DEEPER Chloe draws 8 pictures. Reggie draws 1 more picture than Chloe. How many pictures do they draw?
_17_ pictures

The number of pictures they draw = 17.

Explanation:
In the above-given question,
given that,
Chole draws 8 pictures.
Reggie draws 1 more picture than chole.
8 + 9 = 17.
the number of pictures they draw = 17.

Question 24.
MATHEMATICAL PRACTICE Analyze Joanne made 9 clay bowls last week. She made the same number of clay bowls this week. How many clay bowls did she make in two weeks?

_18_ clay bowls

The number of clay bowls did she make = 18.

Explanation:
In the above-given question,
given that,
Joanne made 9 clay bowls last week.
she made the same number of clay bowls this week.
9 + 9 = 18.
So the number of clay bowls she make = 18.

Question 25.
THINK SMARTER
There are 9 raisins in the bowl. Devon puts 8 more raisins in the bowl. Complete the addition sentence to find how many raisins are in the bowl now.
_9_ + _8_ = __17_
__17_ raisins

The number of raisins in the bowl = 17.

Explanation:
In the above-given question,
given that,
There are 9 raisins in the bowl.
Devon puts 8 more raisins in the bowl.
9 + 8 = 17.
so the number of raisins in the bowl.

TAKE HOME ACTIVITY

### Practice Addition Facts Homework & Practice 3.2

Write the sums.

Question 1.
9 + 1 = _10_
1 + 9 = __10_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 1.
9 + 1 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 9.
1 + 9 = 10.
so the sum is 10.

Question 2.
7 + 6 = _13_
6 + 7 = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
so the sum is 13.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

Question 3.
8 + 0 = _8_
5 + 0 = _5_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 0.
8 + 0 = 8.
so the sum is 8.

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 0.
5 + 0 = 5.
so the sum is 5.

Question 4.
_16_ = 7 + 9
_16_ = 9 + 7

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 9.
7 + 9 = 16.
so the sum is 16.

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 7.
9 + 7 = 16.
so the sum is 16.

Question 5.
4 + 4 = __8_
4 + 5 = _9_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 4.
4 + 4 = 8.
so the sum is 8.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 5.
4 + 5 = 9.
so the sum is 9.

Question 6.
9 + 9 = _18_
9 + 8 = _17_

The sum is 18.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 9.
9 + 9 = 18.
so the sum is 18.

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 8.
9 + 8 = 17.
so the sum is 17.

Question 7.
8 + 8 = _16_
8 + 7 = _15_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 8.
8 + 8 = 16.
so the sum is 16.

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

Question 8.
2 + 2 = _4_
2 + 3 = _5_

The sum is 4.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 2.
2 + 2 = 4.
so the sum is 4.

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 3.
2 + 3 = 5.
so the sum is 5.

Question 9.
_9_ = 6 + 3
_9_ = 3 + 6

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 3.
6 + 3 = 9.
so the sum is 9.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 6.
3 + 6 = 9.
so the sum is 9.

Question 10.
6 + 6 = _12_
6 + 7 = _13_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 6.
6 + 6 = 12.
so the sum is 12.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

Question 11.
_7_ = 0 + 7
_9_ = 0 + 9

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 0 and 7.
0 + 7 = 7.
so the sum is 7.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 0 and 9.
0 + 9 = 9.
so the sum is 9.

Question 12.
5 + 5 = _10_
5 + 6 = _11__

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 5.
5 + 5 = 10.
so the sum is 10.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
so the sum is 11.

Problem Solving

Solve. Write or draw to explain.

Question 13.
Jason has 7 puzzles. Quincy has the same number of puzzles as Jason. How many puzzles do they have altogether?
_14_ puzzles

The number of puzzles they have altogether = 14.

Explanation:
In the above-given question,
given that,
Jason has 7 puzzles.
Quincy has the same number of puzzles as Jason.
7 + 7 = 14.
The number of puzzles they have altogether = 14.

Question 14.
WRITE Math Write or draw to explain a way to find each sum: 6 + 7, 8 + 4, 2 + 9.
____13__________

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 + 4 = 12.
so the sum is 12.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 9.
2 + 9 = 11.
so the sum is 11.

Lesson Check

Question 1.
What is the sum?
8 + 7 = _15_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

Question 2.
What is the sum?
2 + 9 = _11__

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 9.
2 + 9 = 11.
so the sum is 11.

Spiral Review

Question 3.
Write another way to describe
_2_ + _9_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 9.
2 + 9 = 11.
so the sum is 11.

Question 4.
Write the number that is 100 more than 276.
_376__

The number is 376.

Explanation:
In the above-given question,
given that,
the number is 276.
100 more than 276.
276 + 100 = 376.
so the number is 376.

Question 5.
Count by tens.
20, 30, 40, _50_, _60_, __70_

The number is 50, 60, and 70.

Explanation:
In the above-given question,
given that,
the numbers are 20, 30, and 40.
count by tens.
20, 30, 40, 50, 60, and 70.
The numbers are 50, 60, and 70.

Question 6.
Write <, >, or = to compare.
127 _<_ 142

The numbers are 125 and 142.

Explanation:
In the above-given question,
given that,
127 is less than 142.
so the symbol is <.

### Lesson 3.3 Algebra • Make a Ten to Add

Essential Question
How is the make a ten strategy used to find sums?

Listen and Draw

Write the fact below the ten frame when you hear the problem that matches the model.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 5.
5 + 5 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 4.
6 + 4 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 + 3 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 2.
8 + 2 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 1.
9 + 1 = 10.
so the sum is 10.

Math Talk
MATHEMATICAL PRACTICES

Look for Structure Describe a pattern you see in these make a ten facts.

Model and Draw

7 + 5 = ?
You need to add 3 to 7 to make a ten. Break apart 5 as 3 and 2.

So, 7 + 5 = _12

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 + 5 = 12.
7 + 3 + 2 = 12.
10 + 2 = 12.
so the sum is 12.

Share and Show MATH BOARD

Show how you can make a ten to find the sum. Write the sum.

Question 1.

10 + _1_ = __11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 3.
8 + 3 = 11.
8 + 2 + 1 = 11.
10 + 1 = 11.
so the sum is 11.

Question 2.

10 + _1_ = _11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 9.
2 + 9 = 11.
1 + 1 + 9 = 11.
1 + 10 = 11.
so the sum is 11.

Question 3.
8 + 5 = __13_
10 + _3_ = _3_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 + 5 = 13.
8 + 2 + 3 = 13.
10 + 3 = 13.
so the sum is 13.

Question 4.
4 + 7 = _11_
10 + _1_ = _11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 7.
4 + 7 = 11.
1 + 3 + 7 = 11.
1 + 10 = 11.
so the sum is 11.

Question 5.
3 + 9 = _12_
10 + _2_ = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
2 + 1 + 9 = 12.
2 + 10 = 12.
so the sum is 12.

Question 6.
7 + 6 = _13_
10 + _3_ = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
3 + 4 + 6 = 13.
3 + 10 = 13.
so the sum is 13.

Show how you can make a ten to find the sum. Write the sum.

Question 7.

10 + _3_ = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 9.
4 + 9 = 13.
3 + 1 + 9 = 13.
3 + 10 = 13.
so the sum is 13.

Question 8.

10 + _7_ = _17_

The sum is 17.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 8.
9 + 8 = 17.
9 + 1 + 7 = 17.
10 + 7 = 17.
so the sum is 17.

Question 9.
8 + 6 = _14_
10 + _4_ = _14_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 + 6 = 14.
8 + 2 + 4 = 14.
10 + 4 = 14.
so the sum is 14.

Question 10.
5 + 9 = _14_
10 + _4_ = _14_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 9.
5 + 9 = 14.
5 + 5 + 4 = 14.
10 + 4 = 14.
so the sum is 14.

Question 11.
7 + 9 = _16_
10 + _6_ = _16_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 9.
7 + 9 = 16.
7 + 3 + 6 = 16.
10 + 6 = 16.
so the sum is 16.

Question 12.
8 + 4 = _12_
10 + _2_ = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 + 4 = 12.
8 + 2 + 2 = 12.
10 + 2 = 12.
so the sum is 12.

Question 13.
GO DEEPER
Alex is thinking of a doubles fact. The sum is greater than the sum of 7 + 7 but less than the sum of 8 + 9. What fact is Alex thinking of?
_8_ + _7_ = _15_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
8 + 2 + 5 = 15.
10 + 5 = 15.
so the sum is 15.

Question 14.
THINK SMARTER
There were 5 bees in a hive. How many more bees need to go in the hive for there to be 14 bees?

The number of bees to go into the hive = 9.

Explanation:
In the above-given question,
given that,
There were 5 bees in a hive.
5 + 9 = 14.
The number of bees to go into the hive = 9.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 15.
MATHEMATICAL PRACTICE
Analyze There are 9 large bicycles at the store. There are 6 small bicycles at the store. How many bicycles are at the store?

The number of bicycles at the store = 15.

Explanation:
In the above-given question,
given that,
There are 9 large bicycles at the store.
There are 6 small bicycles at the store.
9 + 6 = 15.
The number of bicycles at the store = 15.

Question 16.
GO DEEPER Max is thinking of a doubles fact. It has a sum that is greater than the sum of 6 + 4 but less than the sum of 8 + 5. What fact is Max thinking of?
_8_ + _4_ = __12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 + 4 = 12.
8 + 2 + 2 = 12.
10 + 2 = 12.
so the sum is 12.

Question 17.
THINK SMARTER
Natasha had 8 shells. Then she found 5 more shells. Draw to show how to find the number of shells Natasha has now.

How many shells does she have now? 13_ shells

The number of shells = 13.

Explanation:
In the above-given question,
given that,
Then she found 5 more shells.
8 + 5 = 13.
number of shells = 13.

TAKE HOME ACTIVITY
• Ask your child to name pairs of numbers that have a sum of 10. Then have him or her write the addition sentences.

### Algebra • Make a Ten to Add Homework & Practice 3.3

Show how you can make a ten to find the sum. Write the sum.

Question 1.

10 + _6_ = _16_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 7.
9 + 7 = 16.
9 + 1 + 6 = 16.
10 + 6 = 16.
so the sum is 16.

Question 2.
8 + 5 = _13_
10 + _3_ = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 + 5 = 13.
8 + 2 + 3 = 13.
10 + 3 = 13.
so the sum is 13.

Question 3.
8 + 6 = _14_
10 + _4_ = _14_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 + 6 = 14.
8 + 2 + 4 = 14.
10 + 4 = 14.
so the sum is 14.

Question 4.
3 + 9 = _12_
10 + _2_ = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
2 + 1 + 9 = 12.
2 + 10 = 12.
so the sum is 12.

Question 5.
8 + 7 = _15_
10 + _5_ = _15_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
8 + 2 + 5 = 15.
10 + 5 = 15.
so the sum is 15.

Question 6.
6 + 5 = _11_
10 + _1_ = _11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 5.
6 + 5 = 11.
6 + 4 + 1 = 11.
10 + 1 = 11.
so the sum is 11.

Problem Solving

Solve. Write or draw to explain.

Question 7.
There are 9 children on the bus. Then 8 more children get on the bus. How many children are on the bus now?
_17_ children

The number of children is on the bus = 17.

Explanation:
In the above-given question,
given that,
There are 9 children on the bus.
9 + 8 = 17.
the number of children on the bus = 17.
Question 8.
WRITE Math
Describe how you can use the make a ten strategy to find the sum 7 + 9.
____16____

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 9.
7 + 9 = 16.
6 + 1 + 9 = 16.
6 + 10 = 16.
so the sum is 16.

Lesson Check

Question 1.
Circle the fact with the same sum as 8 + 7.
10 + 3
10 + 4
10 + 5
10 + 6

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 5.
10 + 5 = 15.
10 + 5 = 15.
so the sum is 15.

Question 2.
Write a fact with the same sum as 7 + 5.
_7_ + _7_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 + 5 = 12.
7 + 3 + 2 = 12.
10 + 2 = 12.
so the sum is 12.

Spiral Review

Question 3.
Write the number shown by 200 + 10 + 7?
_217_

The number is 217.

Explanation:
In the above-given question,
given that,
the number is 200 + 10 + 7.
200 + 10 + 7 = 217.
so the number is 217.

Question 4.
Circle the odd number.

The odd number is 7.

Explanation:
In the above-given question,
given that,
the numbers are 2, 4, 6, and 7.
The odd number is 7.

Question 5.
What is the value of the underlined digit?

The value of the underlined digit = 60.

Explanation:
In the above-given question,
given that,
the value og the underlined digit is 6 tens.
60 + 5 = 65.
the number is 65.

Question 6.
What is another way to write the number 47?
_4_ tens _7_ ones

The number 47 has 4 tens and 7 ones.

Explanation:
In the above-given question,
given that,
4 tens and 7 ones.
40 + 7 = 47.
the number is 47.

Essential Question
How do you add three numbers?

Listen and Draw

Write the sum of each pair of addends

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 6.
2 + 6 = 8.
so the sum is 8.

The sum is 6.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 3.
3 + 3 = 6.
so the sum is 6.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

The sum is 5.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 4.
1 + 4 = 5.
so the sum is 5.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 + 3 = 10.
so the sum is 10.

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 5.
2 + 5 = 7.
so the sum is 7.

Math Talk

MATHEMATICAL PRACTICES
Describe how you found the sum of 5 and 4.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

Model and Draw

You can group numbers in different ways to add.
Look for facts you know.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
3 + 2 + 7 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
3 + 2 + 7 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 2.
10 + 2 = 12.
3 + 2 + 7 = 12.
so the sum is 12.

Share and Show

Question 1.
1 + 8 + 2 = __11_
1 + 8 + 2 = _11__

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 2.
9 + 2 = 11.
1 + 8 + 2 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 10.
1 + 10 = 11.
1 + 8 + 2 = 11.
so the sum is 11.

Question 2.
7 + 3 + 3 = __13_
7 + 3 + 3 = _13__

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 3.
10 + 3 = 13.
7 + 3 + 3 = 13.
so the sum is 13.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
7 + 3 + 3 = 13.
so the sum is 13.

Question 3.
4 + 2 + 4 = __10_
4 + 2 + 4 = _10__

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 4.
6+ 4 = 10.
so the sum is 10.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 6.
4 + 6 = 10.
4 + 2 + 4 = 10.
so the sum is 10.

Question 4.
2 + 8 + 2 = __12_
2 + 8 + 2 = __12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 2.
10 + 2 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 10.
2 + 10 = 12.
2 + 8 + 2 = 12.
so the sum is 12.

Question 5.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 8.
3 + 8 = 11.
3 + 2 + 6 = 11.
so the sum is 11.

Question 6.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 2.
7 + 2 = 9.
so the sum is 9.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 2.
7 + 2 = 9.
so the sum is 9.

Question 7.
4 + 1 + 6 = ____11____
4 + 1 + 6 = ___11_____

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
4 + 1 + 6 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 7.
4 + 7 = 11.
4 + 1 + 6 = 11.
so the sum is 11.

Question 8.
4 + 3 + 3 = __10__
4 + 3 + 3 = __10__

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 + 3 = 10.
4 + 3 + 3 = 10.
so the sum is 10.

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 6.
4 + 6 = 10.
4 + 3 + 3 = 10.
so the sum is 10.

Question 9.
1 + 5 + 3 = __9_
1 + 5 + 3 = _9__

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 3.
6 + 3 = 9.
so the sum is 9.

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 8.
1 + 8 = 9.
1 + 5 + 3 = 9.
so the sum is 9.

Question 10.
6 + 4 + 4 = __14__
6 + 4 + 4 = __14__

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 4.
10 + 4 = 14.
6 + 4 + 4 = 14.
so the sum is 14.

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 8.
6 + 8 = 14.
6 + 4 + 4 = 14.
so the sum is 14.

Question 11.
5 + 5 + 5 = _15__
5 + 5 + 5 = _15__

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 5.
10 + 5 = 15.
so the sum is 15.

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 10.
5 + 10 = 15.
5 + 5 + 5 = 15.
so the sum is 15.

Question 12.
7 + 0 + 6 = __13_
7 + 0 + 6 = _13__

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 + 6 = 13.
so the sum is 15.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 16.
7 + 6 = 13.
7 + 0 + 6 = 13.
so the sum is 13.

Question 13.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 + 4 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
5 + 3 + 4 = 12.
so the sum is 12.

Question 14.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 5.
6 + 5 = 11.
4 + 2 + 5 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 7.
4 + 7 = 11.
4 + 2 + 5 = 11.
so the sum is 11.

MATHEMATICAL PRACTICE

Look for Structure

Question 15.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 5.
10 + 4 = 14.
14 – 10 = 4.
so the missing addend is 4.

Question 16.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 4.
8 + 4 = 12.
12 – 8 = 4.
so the missing addend is 4.

Question 17.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 7.
3 + 7 = 10.
11 – 10 = 1.
so the missing addend is 1.

Question 18.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 5.
8 + 5 = 13.
13 – 8 = 5.
so the missing addend is 5.

Problem Solving • Applications

Choose a way to solve. Write or draw to explain.

Question 19.
THINK SMARTER Nick, Alex, and Sophia eat 15 raisins in all. Nick and Alex each eat 4 raisins. How many raisins does Sophia eat?

_11_ raisins

The number of raisins does Sophia eats = 11.

Explanation:
In the above-given question,
given that,
Nick, Alex, and Sophia eat 15 raisins in all.
Nick and Alex each eat 4 raisins.
15 – 4 = 11.
the number of raisins Sophia eat = 11.

Question 20.
MATHEMATICAL PRACTICE Analyze
There are 5 green grapes and 4 red grapes in a bowl. Eli puts 4 more grapes in the bowl. How many grapes are in the bowl now?

_13_ grapes

The number of grapes in the bowl = 13.

Explanation:
In the above-given question,
given that,
There are 5 green grapes and 4 red grapes in a bowl.
Eli puts 4 more grapes in the bowl.
5 + 4 + 4 = 13.
the number of grapes in the bowl = 13.

Question 21.
SMARTER Mrs. Moore bought 4 small apples, 6 medium apples, and 3 large apples. How many apples did she buy?

__13_ apples

The number of apples she buy = 13.

Explanation:
In the above-given question,
given that,
Mrs. Moore bought 4 small apples, 6 medium apples, and 3 large apples.
4 + 6 + 3 = 13.
the number of apples = 13.

TAKE HOME ACTIVITY
• Have your child describe two ways to add 3, 6, and 2.

Question 1.
2 + 3 + 7 = __12_
2 + 3 + 7 = __12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 10.
2 + 10 = 12.
2 + 3 + 7 = 12.
so the sum is 12.

Question 2.
5 + 3 + 3 = __11_
5 + 3 + 3 = __11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 3.
8 + 3 = 11.
so the sum is 11.

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
5 + 3 + 3 = 11.
so the sum is 11.

Question 3.
4 + 5 + 4 = __13_
4 + 5 + 4 = __13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 + 4 = 13.
so the sum is 13.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 9.
4 + 9 = 13.
4 + 5 + 4 = 13.
so the sum is 13.

Question 4.

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 5.
9 + 5 = 14.
5 + 4 + 5 = 14.
so the sum is 14.

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 9.
5 + 9 = 14.
5 + 4 + 5 = 14.
so the sum is 14.

Question 5.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 + 4 = 13.
so the sum is 13.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
6 + 3 + 4 = 13.
so the sum is 13.

Problem Solving

Choose a way to solve. Write or draw to explain.

Question 6.
Amber has 2 red crayons, 5 blue crayons, and 4 yellow crayons. How many crayons does she have?
_11_ crayons

The number of crayons she have = 11.

Explanation:
In the above-given question,
given that,
Amber has 2 red crayons, 5 blue crayons, and 4 yellow crayons.
2 + 5 + 4 = 11.
so the number of crayons she have = 11.

Question 7.
WRITE Math Write or draw to explain two ways you can find the sum of 3 + 4 + 5.
_______12_______

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 + 5 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
3 + 4 + 5 = 12.
so the sum is 12.

Lesson Check

Question 1.
What is the sum of 2 + 4 + 6?
__12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 6.
6 + 6 = 12.
2 + 4 + 6 = 12.
so the sum is 12.

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 6.
6 + 6 = 12.
6 + 4 + 6 = 12.
so the sum is 12.

Question 2.
What is the sum of 5 + 4 + 2?
_11_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 2.
9 + 2 = 11.
5 + 4 + 2 = 11.
so the sum is 11.

Spiral Review

Question 3.
Write >, <, or = to compare.
688 _>_ 648

The numbers are 688 and 648.

Explanation:
In the above-given question,
given that,
688 is greater than 648.
so the symbol is >.

Question 4.
What number can be written as 4 tens 2 ones?
_42_

The number 42 has 4 tens and 2 ones.

Explanation:
In the above-given question,
given that,
4 tens and 2 ones.
40 + 2 = 42.
the number is 42.

Question 5.
What number has the same value as 50 tens?
_5000_

The number 5000 has 50 tens.

Explanation:
In the above-given question,
given that,
50 tens.
the number is 5000.

Question 6.
What is the next number in the pattern?
420, 520, 620, 720, _820_

The number is 420, 520, 620, 720, and 820.

Explanation:
In the above-given question,
given that,
the numbers are 420, 520, 620, 720, and 820.
count by hundreds.
The numbers are 420, 520, 620, 720, and 820.

Lesson 3.5 Algebra • Relate Addition and Subtraction

Essential Question
How are addition and subtraction related?

Listen and Draw

Complete the bar model to show the problem.

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 7.
15 – 7 = 8.
so the difference is 8.

Math Talk
MATHEMATICAL PRACTICES

Explain how the bar models for the problems are alike and how they are different.

Model and Draw

You can use addition facts to remember differences. Related facts have the same whole and parts.

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 7.
13 – 7 = 6.
so the difference is 6.

Share and Show MATH BOARD

Write the sum and the difference for the related facts.

Question 1.
5 + 4 = _9_
9 – 4 = _5_

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 – 4 = 5.
so the difference is 5.

Question 2.
2 + 7 = _9_
9 – 2 = _7_

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 7.
2 + 7 = 9.
so the sum is 9.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 2.
9 – 2 = 7.
so the difference is 7.

Question 3.
3 + 8 = _11_
11 – 8 = _3_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 3.
8 + 3 = 11.
so the sum is 11.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 8.
11 – 8 = 3.
so the difference is 3.

Question 4.
5 + 8 = _13_
13 – 5 = _8_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 + 5 = 13.
so the sum is 13.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.
so the difference is 8.

Question 5.
_9_ = 1 + 8
_8_ = 9 – 1

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 1.
8 + 1 = 9.
so the sum is 9.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 1.
9 – 1 = 8.
so the difference is 8.

Question 6.
9 + 9 = _18_
18 – 9 = _9_

The sum is 18.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 9.
9 + 9 = 18.
so the sum is 18.

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 18 and 9.
18 – 9 = 9.
so the difference is 9.

Question 7.
_15_ = 8 + 7
_7_ = 15 – 8

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
so the difference is 7.

Question 8.
4 + 7 = _11_
11 – 7 = _4_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 7.
4 + 7 = 11.
so the sum is 11.

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 7.
11 – 7 = 4.
so the difference is 4.

Question 9.
7 + 5 = _12_
12 – 7 = _5_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
so the sum is 12.

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
so the difference is 5.

Write the sum and the difference for the related facts.

Question 10.
4 + 3 = _7_
7 – 3 = _4_

The sum is 7.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 3.
4 + 3 = 7.
so the sum is 7.

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 – 3 = 4.
so the difference is 4.

Question 11.
2 + 6 = _8_
8 – 6 = _2_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 6.
2 + 6 = 8.
so the sum is 8.

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 – 6 = 2.
so the difference is 2.

Question 12.
6 + 4 = _10_
10 – 6 = _4_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 4.
6 + 4 = 10.
so the sum is 10.

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 6.
10 – 6 = 4.
so the difference is 4.

Question 13.
7 + 3 = _10_
10 – 7 = _3_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 7.
3 + 7 = 10.
so the sum is 10.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 7.
10 – 7 = 3.
so the difference is 3.

Question 14.
8 + 6 = _14_
14 – 6 = _8_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 + 6 = 14.
so the sum is 14.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 6.
14 – 6 = 8.
so the difference is 8.

Question 15.
_12_ = 3 + 9
_3_ = 12 – 9

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
so the sum is 12.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 9.
12 – 9 = 3.
so the difference is 3.

Question 16.
6 + 5 = _11_
11 – 5 = _6_

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 5.
6 + 5 = 11.
so the sum is 11.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 5.
11 – 5 = 6.
so the difference is 6.

Question 17.
7 + 7 = _14_
14 – 7 = _7_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 7.
7 + 7 = 14.
so the sum is 14.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 7.
14 – 7 = 7.
so the difference is 7.

Question 18.
9 + 6 = _15_
15 – 9 = _6_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 6.
9 + 6 = 15.
so the sum is 15.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 9.
15 – 9 = 6.
so the difference is 6.

Question 19.
5 + 9 = _14_
14 – 9 = _5_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 9.
5 + 9 = 14.
so the sum is 14.

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 9.
14 – 9 = 5.
so the difference is 5.

Question 20.
_12_ = 4 + 8
_8_ = 12 – 4

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 + 4 = 12.
so the sum is 12.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 4.
12 – 4 = 8.
so the difference is 8.

Question 21.
9 + 7 = _16_
16 – 7 = _9_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 7.
9 + 7 = 16.
so the sum is 16.

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 16 and 7.
16 – 7 = 9.
so the difference is 9.

MATHEMATICAL PRACTICE
Make Connections

Write a related subtraction fact for each addition fact.

Question 22.
7 + 8 = 15
_15__-__8_=_7_

The related subtraction fact is 15 – 8 = 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
so the difference is 7.

Question 23.
5 + 7 = 12
__12__-_7__=__5_____

The related subtraction fact is 12 – 7 = 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
so the difference is 5.

Question 24.
6 + 7 = 13
__13_-7 = 6

The related subtraction fact is 13 – 7 = 6.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 7.
13 – 7 = 6.
so the difference is 6.

Question 25.
9 + 8 = 17
_17_-_8_=_9

The related subtraction fact is 17 – 8 = 9.

Explanation:
In the above-given question,
given that,
the numbers are 17 and 8.
17 – 8 = 9.
so the difference is 9.

Problem Solving • Applications WRITE Math

Solve. Write or draw to explain.

Question 26.
Trevor has 7 kites. Pam has 4 kites. How many more kites does Trevor have than Pam?

_3_ more kites.

The number of kites Trevor have than Pam = 3.

Explanation:
In the above-given question,
given that,
Trevor has 7 kites.
Pam has 4 kites.
4 + 3 = 7.
so, the number of kites Trevor have than pam = 3.

Question 27.
THINK SMARTER
Mr. Sims has a bag of 7 pears and a bag of 6 pears. His family eats 5 pears. How many pears does he have now?

_8_ pears

The number of pears he has = 8.

Explanation:
In the above-given question,
given that,
Mr. Sims has a bag of 7 pears and a bag of 6 pears.
His family eats 5 pears.
7 + 6 – 5 = 8.
so the number of pears = 8.

Question 28.
THINK SMARTER
Elin counts 7 geese in the water and some geese on the shore. There are 16 geese in all. Draw a picture to show the two groups of geese.

Write a number sentence that can help you find how many geese are on the shore.
_16__-__7__=__9______
How many geese are on the shore?
_9__ geese

The number of geese = 9.

Explanation:
In the above-given question,
given that,
Elin counts 7 geese in the water and some geese on the shore.
There are 16 geese in all.
16 – 7 = 9.
the number of geese on the shore = 9.

TAKE HOME ACTIVITY
• Ask your child to name some subtraction facts that he or she knows well.

### Algebra • Relate Addition and Subtraction Homework & Practice 3.5

Write the sum and the difference for the related facts.

Question 1.
9 + 6 = _15_
15 – 6 = _9_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 6.
9 + 6 = 15.
so the sum is 15.

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 6.
15 – 6 = 9.
so the difference is 9.

Question 2.
8 + 5 = _13_
13 – 5 = __8_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 + 5 = 13.
so the sum is 13.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.
so the difference is 9.

Question 3.
9 + 9 = _18_
18 – 9 = _9_

The sum is 18.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 9.
9 + 9 = 18.
so the sum is 18.

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 18 and 9.
18 – 9 = 9.
so the difference is 9.

Question 4.
7 + 3 = _10_
10 – 3 = _7_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 7.
3 + 7 = 10.
so the sum is 10.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 3.
10 – 3 = 7.
so the difference is 7.

Question 5.
7 + 5 = __12_
12 – 5 = _7_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 7.
5 + 7 = 12.
so the sum is 12.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 5.
12 – 5 = 7.
so the difference is 7.

Question 6.
6 + 8 = _14_
14 – 6 = __8_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 8.
6 + 8 = 14.
so the sum is 14.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 6.
14 – 6 = 8.
so the difference is 8.

Question 7.
6 + 7 = _13_
13 – 6 = _7_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 6.
13 – 6 = 7.
so the difference is 7.

Question 8.
8 + 8 = _16_
16 – 8 = _8_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 8.
8 + 8 = 16.
so the sum is 16.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 16 and 8.
16 – 8 = 8.
so the difference is 8.

Question 9.
6 + 4 = _10_
10 – 4 = _6_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 4.
6 + 4 = 10.
so the sum is 10.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 4.
10 – 4 = 6.
so the difference is 6.

Problem Solving

Solve. Write or draw to explain.

Question 10.
There are 13 children on the bus. Then 5 children get off the bus. How many children are on the bus now?
_8_ children

The number of children on the bus = 8.

Explanation:
In the above-given question,
given that,
There are 13 children on the bus.
Then 5 children get off the bus.
13 – 5 = 8.
the number of children on the bus = 8.

Question 11.
WRITE Math
Write a related subtraction fact for 9 + 3 = 12. Explain how the two facts are related.
__12_-_3_=_9___________

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 3.
9 + 3 = 12.
so the sum is 12.

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 3.
12 – 3 = 9.
so the difference is 9.

Lesson Check

Question 1.
Write a related addition fact for
15 − 6 = 9.
_9_ + _6_ = __15_

The related addition fact is 6 + 9 = 15.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 9.
6 + 9 = 15.
the related addition face is 6 + 9 = 15.

Question 2.
Write a related subtraction fact for
5 + 7 = 12.
_12_ – _7_ = __5_

The related subtraction fact is 12 – 7 = 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
so the difference is 5.

Spiral Review

Question 3.
What is another way to write 4 hundreds?
___400_____

The number is 400.

Explanation:
In the above-given question,
given that,
write 4 hundreds in another way.
400.
so the number is 400.

Question 4.
What is the next number in the pattern?
515, 615, 715, 815, _915_

The number is 515, 615, 715, 815, and 915.

Explanation:
In the above-given question,
given that,
the numbers are 515, 615, 715, 815, and 915.
count by hundreds.
The numbers are 515, 615, 715, 815, and 915.

Question 5.
What number is 10 more than 237?
_____247___

The number is 247.

Explanation:
In the above-given question,
given that,
the number is 10 more than 237.
count by tens.
The number is 247.

Question 6.
Write the number 110 as a sum of hundreds and tens.
_100_ + _10_

The number 110 has 1 hundred and 10 tens.

Explanation:
In the above-given question,
given that,
110 as a sum of hundreds and tens.
100 + 10 = 110.
the number is 110.

### Lesson 3.6 Practice Subtraction Facts

Essential Question
What are some ways to remember differences?

Listen and Draw

Use Gina’s model to answer the question.

Math Talk
MATHEMATICAL PRACTICES

Compare Strategies
Explain how the different facts for Gina’s model are related.

Model and Draw
These are some ways to find differences.
You can count back by 1, 2, or 3.

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 2.
7 – 2 = 5.
so the difference is 5.

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 3.
9 – 3 = 6.
so the difference is 6.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 – 5 = 3.
so the difference is 3.

Share and Show MATH BOARD

Write the difference

Question 1.
6 – 4 = _2_

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 4.
6 – 4 = 2.
so the difference is 2.

Question 2.
10 – 7 = _3_

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 7.
10 – 7 = 3.
so the difference is 3.

Question 3.
_3_ = 5 – 2

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 2.
5 – 2 = 3.
so the difference is 3.

Question 4.
14 – 6 = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 6.
14 – 6 = 8.
so the difference is 6.

Question 5.
_4_ = 8 – 4

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 – 4 = 4.
so the difference is 4.

Question 6.
11 – 3 = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 3.
11 – 3 = 8.
so the difference is 8.

Question 7.
_2_ = 7 – 5

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 – 5 = 2.
so the difference is 2.

Question 8.
10 – 4 = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 4.
10 – 4 = 6.
so the difference is 6.

Question 9.
5 – 0 = _5_

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 0.
5 – 0 = 5.
so the difference is 5.

Question 10.
13 – 9 = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 9.
13 – 9 = 4.
so the difference is 4.

Question 11.
9 – 3 = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 3.
9 – 3 = 6.
so the difference is 6.

Question 12.
_1_ = 7 – 6

The difference is 1.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 6.
7 – 6 = 1.
so the difference is 1.

Question 13.
12 – 3 = _9_

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 3.
12 – 3 = 9.
so the difference is 9.

Question 14.
6 – 3 = _3_

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 3.
6 – 3 = 3.
so the difference is 3.

Question 15.
9 – 5 = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 5.
9 – 5 = 4.
so the difference is 4.

Question 16.
10 – 6 = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 6.
10 – 6 = 4.
so the difference is 4.

Question 17.
_5_ = 8 – 3

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 3.
8 – 3 = 5.
so the difference is 5.

Question 18.
13 – 5 = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.
so the difference is 8.

Write the difference.

Question 19.
11 − 2 = __9_

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 2.
11 – 2 = 9.
so the difference is 9.

Question 20.
9 – 7 = __2__

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 7.
9 – 7 = 2.
so the difference is 2.

Question 21.
_3_ 7 – 4

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 4.
7 – 4 = 3.
so the difference is 3.

Question 22.
12 − 5 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 5.
12 – 5 = 7.
so the difference is 7.

Question 23.
8 – 6 = _2_

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 – 6 = 2.
so the difference is 2.

Question 24.
_7_ = 7 – 0

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 0.
7 – 0 = 7.
so the difference is 7.

Question 25.
_5_ = 10 – 5

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 5.
10 – 5 = 5.
so the difference is 5.

Question 26.
15 – 8 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
so the difference is 7.

Question 27.
13 – 7 = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 7.
13 – 7 = 6.
so the difference is 6.

Question 28.
10 – 8 = _2_

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 8.
10 – 8 = 2.
so the difference is 2.

Question 29.
8 – 5 = _3_

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 5.
8 – 5 = 3.
so the difference is 3.

Question 30.
_3_ = 9 – 6

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 6.
9 – 6 = 3.
so the difference is 3.

Question 31.
_5_ = 9 – 4

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 – 4 = 5.
so the difference is 5.

Question 32.
11 – 8 = __3_

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 8.
11 – 8 = 3.
so the difference is 3.

Question 33.
12 – 7 = _5_

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
so the difference is 5.

Question 34.
THINK SMARTER
Write the differences. Then write the next fact in the pattern.

10 – 1 = __9__
8 – 1 = __7__
6 – 1 = __5_
4 – 1 = __3__
__2_-_1_=_3_____

The next fact is 2 – 1 = 1.

Explanation:
In the above-given question,
given that,
2 – 1 = 1.
next fact is 2 – 1 = 1.

12 – 9 = ___3__
13 – 9 = __4__
14 – 9 = _5___
15 – 9 = _6___
_16 -__9__=___7________

The next fact is 16 – 9 = 7.

Explanation:
In the above-given question,
given that,
16 – 9 = 7.
next fact is 16 – 9 = 7.

18 – 9 = _9__
17 – 8 = _9__
16 – 7 = __9__
15 – 6 = __9__
_14_-__5_=_9__

The next fact is 14 – 5 = 9.

Explanation:
In the above-given question,
given that,
14 – 5 = 9.
next fact is 14 – 5 = 9.

TAKE HOME ACTIVITY
• With your child, practice saying subtraction facts from this lesson.

### Practice Subtraction Facts Homework & Practice 3.6

Write the difference.

Question 1.
15 − 9 = 6

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 9.
15 – 9 = 6.
so the difference is 6.

Question 2.
10 − 2 = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 2.
10 – 2 = 8.
so the difference is 8.

Question 3.
_8_ = 13 − 5

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.
so the difference is 8.

Question 4.
14 − 7 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 7.
14 – 7 = 7.
so the difference is 7.

Question 5.
10 − 8 = _2_

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 8.
10 – 8 = 2.
so the difference is 2.

Question 6.
12 − 7 = _5_

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
so the difference is 5.

Question 7.
_7_ = 10 – 3

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 3.
10 – 3 = 7.
so the difference is 7.

Question 8.
16 − 7 = _9_

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 16 and 7.
16 – 7 = 9.
so the difference is 9.

Question 9.
8 − 4 = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 4.
8 – 4 = 4.
so the difference is 4.

Question 10.
11 − 5 = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 5.
11 – 5 = 6.
so the difference is 6.

Question 11.
13 − 6 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 6.
13 – 6 = 7.
so the difference is 7.

Question 12.
_3_ = 12 − 9

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 9.
12 – 9 = 3.
so the difference is 3.

Question 13.
16 − 9 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 16 and 9.
16 – 9 = 7.
so the difference is 7.

Question 14.
_2_ = 11 − 9

The difference is 2.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 9.
11 – 9 = 2.
so the difference is 2.

Question 15.
12 − 8 = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 8.
12 – 8 = 4.
so the difference is 4.

Problem Solving

Solve. Write or draw to explain.

Question 16.
Mr. Li has 16 pencils. He gives 9 pencils to some students. How many pencils does Mr. Li have now?
__7_ pencils

The number of pencils Mr. Li has now = 7.

Explanation:
In the above-given question,
given that,
Mr. Li has 16 pencils.
He gives 9 pencils to some students.
16 – 9 = 7.
so the number of pencils Mr. Li has now = 7.

Question 17.
WRITE Math
Write or draw to explain two different ways to find the difference for 12 − 3.
___12_-_3_=__9_____

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 3.
12 – 3 = 9.
so the difference is 9.

Lesson Check

Question 1.
Write the difference.
13 − 6 = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 6.
13 – 6 = 7.
so the difference is 7.

Question 2.
Write the difference.
12 – 3 = _9_

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 3.
12 – 3 = 9.
so the difference is 9.

Spiral Review

Question 3.
What is the value of the underlined digit?

The value of the underlined digit = 20.

Explanation:
In the above-given question,
given that,
the value og the underlined digit is 2 tens.
600 + 20 + 5 = 625.
the number is 625.

Question 4.
Count by fives.
405, _406_, _407_, _408__

The numbers are 410, 415, and 420.

Explanation:
In the above-given question,
given that,
the numbers are added by 5.
410, 415, and 420.

Question 5.
Devin has 39 toy blocks. What is the value of the digit 9 in this number?
__9__

The value of the 9 is ones digit.

Explanation:
In the above-given question,
given that,
the value of the 9 is in ones place.
30 + 9 = 39.
the number is 39.

Question 6.
Which number has the same value as 20 tens?
_200___

The value of 20 tens is 200.

Explanation:
In the above-given question,
given that,
the same value as 20 tens is 200.
200.

Basic Facts and Relationships Mid-Chapter Check point

Concepts and Skills

Write the sum.

Question 1.
3 + 6 = _9_

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 6.
3 + 6 = 9.
so the sum is 9.

Question 2.
8 + 0 = _8_

The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 0.
8 + 0 = 8.
so the sum is 8.

Question 3.
7 + 7 = _14_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 7.
7 + 7 = 14.
so the sum is 14.

Question 4.
9 + 4 = _13_

The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 + 4 = 13.
so the sum is 13.

Question 5.
_11_ = 5 + 6

The sum is 11.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 6.
5 + 6 = 11.
so the sum is 11.

Question 6.
2 + 8 = _10_

The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 8.
2 + 8 = 10.
so the sum is 10.

Question 7.
3 + 7 + 2 = _12_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 2.
10 + 2 = 12.
so the sum is 12.

Question 8.
4 + 4 + 6 = _14_

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 6.
8 + 6 = 14.
so the sum is 14.

Show how you can make a ten to find the sum. Write the sum.

Question 9.

10 + _6_ = _16__

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 7.
9 + 7 = 16.
9 + 1 + 6 = 16.
so the sum is 16.

Question 10.

10 + _4_ = __14__

The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 8.
6 + 8 = 14.
4 + 2 + 8 = 14.
so the sum is 14.

Write the sum and the difference for the related facts.

Question 11.
5 + 4 = _9_
9 – 4 = _5_

The sum is 9.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 4.
5 + 4 = 9.
so the sum is 9.

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 4.
9 – 4 = 5.
so the difference is 5.

Question 12.
3 + 9 = _12_
12 – 9 = _3_

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 9.
3 + 9 = 12.
so the sum is 12.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 9.
12 – 9 = 3.
so the difference is 3.

Question 13.
8 + 7 = _15_
15 – 8 = _7_

The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
so the difference is 7.

Question 14.
THINK SMARTER
Lily has 6 toys cars. Yong has 5 toy cars. How many toy cars do they have?
_11_ toy cars

The number of toy cars have = 11.

Explanation:
In the above-given question,
given that,
Lily has 6 toy cars.
Yong has 5 toy cars.
6 + 5 = 11.
so the number of toy cars = 11.

Lesson 3.7 Use Ten to Subtract

Essential Question
How does getting to 10 in subtraction help when finding differences?

Listen and Draw

Circle to show the amount you subtract for each problem.

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 20 and 13.
20 – 13 = 7.
so the difference is 7.

The difference is 3.

Explanation:
In the above-given question,
given that,
the numbers are 20 and 17.
20 – 17 = 3.
so the difference is 3.

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 20 and 12.
20 – 12 = 8.
so the difference is 8.

Math Talk
MATHEMATICAL PRACTICES

Look for Structure Describe a pattern in the three problems and answers.

Model and Draw

You can subtract in steps to use a tens fact.

Share and Show MATH BOARD

Show the tens fact you used. Write the difference.

Question 1.

10 – __3_ = __7__

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 5.
12 – 5 = 7.
12 – 2 = 10.
10 – 3 = 7.
so the difference is 7.

Question 2.

10 – _5__ = __5__

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 6.
11 – 6 = 5.
11 – 1 = 10.
10 – 5 = 5.
so the difference is 5.

Question 3.
15 – 7 = _8_
10 – _2_ = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 7.
15 – 7 = 8.
15 – 5 = 10.
10 – 2 = 8.
so the difference is 8.

Question 4.
13 – 7 = _6_
10 – _4_ = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 7.
13 – 7 = 6.
13 – 3 = 10.
10 – 4 = 6.
so the difference is 7.

Show the tens fact you used. Write the difference.

Question 5.

10 – _2_ = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.
13 – 3 = 10.
10 – 2 = 8.
so the difference is 7.

Question 6.

10 – _1_ = _9_

The difference is 9.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 6.
15 – 6 = 9.
15 – 5 = 10.
10 – 1 = 9.
so the difference is 7.

Question 7.
12 – 8 = _4_
10 – _6_ = _4_

The difference is 4.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 8.
12 – 8 = 4.
12 – 2 = 10.
10 – 6 = 4.
so the difference is 7.

Question 8.
14 – 8 = _6_
10 – _4_ = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 8.
14 – 8 = 6.
14 – 4 = 10.
10 – 4 = 6.
so the difference is 6.

Question 9.
GO DEEPER
Chris had 15 stickers. He gave Ann and Suzy each the same number of stickers. Now Chris has 7 stickers. How many stickers did he give to each girl?

Solve. Write or draw to explain.

The number of stickers = 4.

Explanation:
In the above-given question,
given that,
He gave Ann and Suzy each the same number of stickers.
Now Chris has 7 stickers.
15 – 7 = 8.
4 + 4 = 8.
so the number of stickers = 4.

Question 10.
THINK SMARTER
Beth has a box of 16 crayons. She gives 3 crayons to Jake and 7 crayons to Wendy. How many crayons does Beth have now?

The number of crayons does Beth have = 6.

Explanation:
In the above-given question,
given that,
Beth has a box of 16 crayons.
She gives 3 crayons to jake and 7 to wendy.
3 + 7 = 10.
16 – 10 = 6.
so the number of crayons have = 6.

Problem Solving • Applications

GO DEEPER
Write number sentences that use both addition and subtraction. Use each choice only once.

Question 11.

Question 12.
__9_ = __9__

15 – 6 = 9.
5 + 4 = 9.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 6.
15 – 6 = 9.
4 + 5 = 9.

Question 13.
__5_ = _5__

10 – 5 = 5.
1 + 4 = 5.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 5.
10 – 5 = 5.
1 + 4 = 5.

Question 14.
_8_ = __8__

14 – 6 = 8.
4 + 4 = 8.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 6.
14 – 6 = 8.
4 + 4 = 8.

Question 15.
THINK SMARTER
Does the number sentence have the same difference as 15 – 7 = ? Choose Yes or No

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 7.
15 – 7 = 8.
10 – 2 = 8.
10 – 4 = 6.
10 – 6 = 4.
so the difference is 8.

TAKE HOME ACTIVITY
• Ask your child to name pairs of numbers that have a difference of 10. Then have him or her write the number sentences.

### Use Ten to Subtract Homework & Practice 3.7

Show the tens fact you used. Write the difference.

Question 1.
14 – 6 = _8_
10 – _2_ = _8_

The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 6.
14 – 6 = 8.
14 – 4 = 10.
10 – 2 = 8.
so the difference is 8.

Question 2.
12 – 7 = _5_
10 – _5_ = _5_

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 7.
12 – 7 = 5.
12 – 2 = 10.
10 – 5 = 5.
so the difference is 5.

Question 3.
13 – 7 = _6_
10 – _4_ = _6_

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 7.
13 – 7 = 6.
13 – 3 = 10.
10 – 4 = 6.
so the difference is 6.

Question 4.
15 – 8 = _7_
10 – _3_ = _7_

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
15 – 5 = 10.
10 – 3 = 7.
so the difference is 7.

Problem Solving

Solve. Write or draw to explain.

Question 5.
Carl read 15 pages on Monday night and 9 pages on Tuesday night. How many more pages did he read on Monday night than on Tuesday night?
_6__ more pages

Question 6.
WRITE Math
Describe how to use a tens fact to find the difference for 15 − 8.
___7___________

The difference is 7.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 – 8 = 7.
15 – 5 = 10.
10 – 3 = 7.
so the difference is 7.

Lesson Check

Question 1.
Show the tens fact you used. Write the difference.
12 − 6 =6
10 − 4 =6

The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 12 and 6.
12 – 6 = 6.
12 – 2 = 10.
10 – 4 = 6.
so the difference is 6.

Question 2.
Show the tens fact you used. Write the difference.
13 – 8 = _5_
10 – 5 = _5_

The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 8.
13 – 8 = 5.
13 – 3 = 10.
10 – 5 = 5.
so the difference is 5.

Spiral Review

Question 3.
Write a related subtraction fact for 7 + 3 = 10
_10__-_3_=7
The related subtraction fact is 10 – 3 = 7.

Explanation:
In the above-given question,
given that,
the numbers are 10 and 3.
10 – 3 = 7.
so the difference is 7.

Question 4.
Joe has 8 trucks. Carmen has 1 more truck than Joe. How many trucks do they have together?
__17_

The number of trucks they have together = 17.

Explanation:
In the above-given question,
given that,
Joe has 8 trucks.
Carmen has 1 more truck then Joe.
8 + 9 = 17.
the number of trucks they have together = 17.

Question 5.
There were 276 people on an airplane. Write a number greater than 276.
_280__

The number is 280.

Explanation:
In the above-given question,
given that,
There were 276 people on an airplane.
280.

Question 6.
Write >, <, or = to compare.
537 _>_ 375

535 is greater than 375.

Explanation:
In the above-given question,
given that,
the numbers are 537 and 375.
537 is greater than 375.

### Lesson 3.8 Algebra • Use Drawings to Represent Problems

Essential Question
How are bar models used to show addition and subtraction problems?

Listen and Draw

Complete the bar model to show the problem.
Complete the number sentence to solve.

The number of stickers = 7.

Explanation:
In the above-given question,
given that,
He gave Ann and Suzy each the same number of stickers.
Now Chris has 7 stickers.
15 – 7 = 8.
7 + 8 = 15.
so the number of stickers = 7.

Math Talk
MATHEMATICAL PRACTICES

Explain how the problems are alike and how they are different.

Model and Draw

You can use bar models to show problems. Ben eats 14 crackers. Ron eats 6 crackers. How many more crackers does Ben eat than Ron?

The number of crackers = 8.

Explanation:
In the above-given question,
given that,
Ben eats 14 crackers and Ron eats 6 crackers.
8 + 6 = 14.
so the number of crackers = 8.

______________

The number of cookies = 8.

Explanation:
In the above-given question,
given that,
she gave 6 cookies to Grace.
14 – 6 = 8.
so the number of cookies = 8.

Share and Show MATH BOARD

Question 1.
Mr. James bought 15 plain bagels and 9 raisin bagels. How many more plain bagels than raisin bagels did he buy?

______________
__6_ more plain bagels

The number of plain bagles then raisin bagels = 6.

Explanation:
In the above-given question,
given that,
Mr. James bought 15 plain bagels and 9 raisin bagels.
15 – 9 = 6.
so the number of plain bagels = 6.

Complete the bar model. Then write a number sentence to solve.

Question 2.
Cole has 5 books about dogs and 6 books about cats. How many books does Cole have?

__5 __+_6_=_11______
__11__ books

The number of books Cole have = 11.

Explanation:
In the above-given question,
given that,
5 + 6 = 11.
so the number of books = 11.

Question 3.
THINK SMARTER
Anne has 16 blue clips and 9 red clips. How many more blue clips than red clips does she have?

_16_-_9__=_7_____
__7_ more clips

The number of more blue clips = 7.

Explanation:
In the above-given question,
given that,
Anne has 16 blue clips and 9 red clips.
16 – 9 = 7.
so the more number of blue clips = 7.

Question 4.
GO DEEPER
Fill in the blank. Then label the bar model and solve.

Miss Gore had 18 pencils. She gave _9_ pencils to Erin. How many pencils does Miss Gore have now?
_9_ pencils

The number of pencils Miss Gore have = 9.

Explanation:
In the above-given question,
given that,
she gave 9 pencils to Erin.
18 – 9 = 9.
so the number of pencils Miss Gore have = 9.

Problem Solving • Applications

Use the information in the table to solve. Write or draw to explain.

Question 5.
Jenna put all of the roses and all of the tulips into a vase. How many flowers did she put into the vase?
_14_ flowers

The number of flowers = 14.

Explanation:
In the above-given question,
given that,
roses = 6.
tulips = 8.
daisies = 11.
The number of flowers = 14.

Question 6.
THINK SMARTER
Four of the daisies are white. The other daisies are yellow. How many daisies are yellow?
_7__ yellow daisies

The number of white daisies = 7.

Explanation:
In the above-given question,
given that,
four of the daisies are white.
11 – 4 = 7
so the number of white daisies = 7.

Question 7.
THINK SMARTER
Rita counts 4 frogs in the grass and some other frogs in the water. There are 10 frogs in all. How many frogs are in the water? Draw a picture and write a number sentence to solve.

___10 _-_4_=_6_______
_6_ frogs are in the water.

The number of frogs in the water = 6.

Explanation:
In the above-given question,
given that,
Rita counts 4 frogs in the grass and some other frogs in the water.
10 – 4 = 6.
so the number of frogs in water = 6.

TAKE HOME ACTIVITY
• Ask your child to describe what he or she learned in this lesson.

### Algebra • Use Drawings to Represent Problems Homework & Practice 3.8

Complete the bar model. Then write a number sentence to solve.

Question 1.
Adam had 12 trucks. He gave 4 trucks to Ed. How many trucks does Adam have now?

_____
_12_ trucks

The number of trucks Adam have = 8.

Explanation:
In the above-given question,
given that,
He gave 4 trucks to Ed.
12 – 4 = 8.
so the number of trucks Adam have = 8.

Question 2.
Grandma has 14 red roses and 7 pink roses. How many more red roses than pink roses does she have?

_____
_7_ more red roses

The number of red roses than pink roses = 7.

Explanation:
In the above-given question,
given that,
Grandma has 14 red roses and 7 pink roses.
14 – 7 = 7.
so the number of red roses than pink roses = 7.

Question 3.
WRITE Math
Explain how you used the bar model in Exercise 2 to solve the problem
_________________________
_________________________

Lesson Check

Question 1.
Abby has 16 grapes. Jason has 9 grapes. How many more grapes does Abby have than Jason?

The number of grapes does Abby have = 7.

Explanation:
In the above-given question,
given that,
Abby has 16 grapes. Jason has 9 grapes.
16 – 9 = 7.
so the number of grapes = 7.

Spiral Review

Question 2.
Write a subtraction fact with the same difference as 16 − 7.
__16_-_7_=_9_________

Question 3.
What is the difference?
18 – 9 = _9__

Question 4.
What is another way to write 300 + 20 + 5?
___325_____

Question 5.
What is the value of the underlined digit?

### Lesson 3.9 Algebra • Use Equations to Represent Problems

Essential Question
How are number sentences used to show addition and subtraction situations?

Listen and Draw

Write a story problem that could be solved using this bar model.

__9_+_6_=_15___
_6_+_9_=_15____
__15_-_6_=_9____
__15_-_9_=_6____
__________________

The number of grapes does Abby have = 6.

Explanation:
In the above-given question,
given that,
Abby has 15 grapes. Jason has 9 grapes.
15 – 9 = 6.
so the number of grapes = 6.

Math Talk
MATHEMATICAL PRACTICES

Model and Draw

A number sentence can be used to show a problem. There were some girls and 4 boys at the park. There were 9 children in all. How many girls were at the park?

The number of girls at the park = 5.

Explanation:
In the above-given question,
given that,
There were some girls and 4 boys at the park.
There were 9 children in all.
9 – 4 = 5.
so the number of girls = 5.

Share and Show MATH BOARD

Write a number sentence for the problem. Use a for the missing number. Then solve.

Question 1.
There were 14 ants on the sidewalk. Then 6 ants went into the grass. How many ants were still on the sidewalk?

____14_-_6_=_8_______
__8____ ants

The number of ants were still on the sidewalk = 8.

Explanation:
In the above-given question,
given that,
There were 14 ants on the sidewalk.
Then 6 ants went into the Grass.
14 – 6 = 8.
so the number of ants = 8.

Question 2.
There were 7 big dogs and 4 little dogs at the park. How many dogs were at the park?

____7_+_4_=_11__________
__11__ dogs

The number of dogs at the park = 11.

Explanation:
In the above-given question,
given that,
There were 7 big dogs and 4 little dogs at the park.
7 + 4 = 11.
so the number of dogs at the park = 11.

Write a number sentence for the problem.
Use a for the missing number. Then solve.

Question 3.
A group of children were flying 13 kites. Some kites were put away. Then the children were flying 7 kites. How many kites were put away?

_13_-_7__=_6________
__6_ kites

The number of kites put away = 6.

Explanation:
In the above-given question,
given that,
A group of children were flying 13 kites. some kites were put away.
Then the children were flying 7 kites.
13 – 7 = 6.
so the number of kites = 6.

Question 4.
There are 18 boys at the field. 9 of the boys are playing soccer. How many boys are not playing soccer?
__18 _-_9_=9_________
_9__ boys

The number of boys are not playing soccer = 9.

Explanation:
In the above-given question,
given that,
There are 18 boys at the field.
9 of the boys are playing soccer.
18 – 9 = 9.
so the number of boys = 9.

Question 5.
MATHEMATICAL PRACTICE
Use Reasoning
Matthew found 9 acorns. Greg found 6 acorns. How many acorns did the two boys find?

__9 _+_6_=_15__
__15__ acorns

The number of acorns two boys find = 15.

Explanation:
In the above-given question,
given that,
Matthew found 9 acorns.
Greg found 6 acorns.
9 + 6 = 15.
so the number of acorns two boys find = 15.

Question 6.
THINK SMARTER
There were some ducks in a pond. Four more ducks joined them. Then there were 12 ducks in the pond. How many ducks were in the pond at first?

_8__ ducks

The number of ducks in the pond = 8.

Explanation:
In the above-given question,
given that,
There were some ducks in a pond.
Four more ducks joined them.
8 + 4 = 12.
so the number of ducks in the pond first = 8.

Problem Solving • Applications WRITE MATH

Read the story. Write or draw to show how you solved the problems.

Question 7.
How many children are at camp?
_14_ children

The number of children at the camp = 14.

Explanation:
In the above-given question,
given that,
5 children are playing games and 4 children are making crafts.
5 other children are having a snack.
5 + 4 + 5 = 14.
so the number of children at the camp = 14.

Question 8.
GO DEEPER
Suppose 7 more children arrive at camp and join the children playing games. How many more children are playing games than children not playing games?
_12_ more children

The number of children playing games = 12.

Explanation:
In the above-given question,
given that,
Suppose 7 more hildren arrive at camp and join the children playing games.
7 + 5 = 12.
so the number of children playing games = 12.

Question 9.
THINK SMARTER
Ashley had 9 crayons. She gave 4 crayons to her brother. How many crayons does Ashley have now? Write a number sentence for the problem. Use for the missing number. Then solve.
_9 -_4_=_5__________
Ashley has _5_ crayons now.

The number of crayons Ashley have = 5.

Explanation:
In the above-given question,
given that,
9 – 4 = 5.
so the number of crayons Ashley have = 5.

TAKE HOME ACTIVITY

### Algebra • Use Equations to Represent Problems Homework & Practice 3.9

Write a number sentence for the problem. Use a for the unknown number. Then solve.

Question 1.
There were 15 apples in a bowl. Dan used some apples to make a pie. Now there are 7 apples in the bowl. How many apples did Dan use?
___15 – _7_=_8__
__8_ apples

The number of apples Dan used = 8.

Explanation:
In the above-given question,
given that,
There were 15 apples in a bowl.
Dan used some apples to make a pie.
Now there are 7 apples in the bowl.
15 – 7 = 8.
so the number of apples Dan used = 8.

Question 2.
Amy has 16 gift bags. She fills 8 gift bags with whistles. How many gift bags are not filled with whistles?
_16_-_8_=_8_________

The number of gift bags that are not filled = 8.

Explanation:
In the above-given question,
given that,
she fills 8 gift bags with whistles.
16 – 8 = 8.
so the number of gift bags that are not filled = 8.

Problem Solving

Write or draw to show how you solved the problem.

Question 3.
Tony has 7 blue cubes and 6 red cubes. How many cubes does he have?
_13_ cubes

The number of cubes Tony have = 13.

Explanation:
In the above-given question,
given that,
Tony has 7 blue cubes and 6 red cubes.
7 + 6 = 13.
so the number of cubes have = 13.

Question 4.
WRITE Math Write a story problem for the addition sentence
7 + = 9. Solve the story problem
__7_+_2_=_9_____
______________
______________

The number of cubes Tony have = 9.

Explanation:
In the above-given question,
given that,
Tony has 7 blue cubes and 2 red cubes.
7 + 2 = 9.
so the number of cubes have = 9.

Lesson Check

Question 1.
Fred peeled 9 carrots. Nancy peeled 6 carrots. How many fewer carrots did Nancy peel than Fred?
___3__

The number of fewer carrots Nancy peel = 3.

Explanation:
In the above-given question,
given that,
Fred peeled 9 carrots.
Nancy peeled 6 carrots.
9 – 6 = 3.
so the number of fewer carrots Nancy peel = 3.

Question 2.
Omar has 8 marbles. Joy has 7 marbles. How many marbles do they have together?
__15____

The number of marbles they have = 15.

Explanation:
In the above-given question,
given that,
Omar has 8 marbles.
Joy has 7 marbles.
8 + 7 = 15.
so the number of marbles have = 15.

Spiral Review

Question 3.
What is the sum?
8 + 8 = _16_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 8.
8 + 8 = 16.
so the sum is 16.

Question 4.
What is the sum?
5 + 4 + 3 = 12__

The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 3.
9 + 3 = 12.
so the sum is 12.

Question 5.
What has the same value as 1 hundred 7 tens?
__170_

The number is 170.

Explanation:
In the above-given question,
given that,
the same value as 1 hundred 7 tens.
100 + 70 = 170.
so the number is 170.

Question 6.
Which of the following is a way to describe the number 358?
_3_ hundreds _5_ tens _8_ ones

The number has 3 hundred 5 tens 8 ones.

Explanation:
In the above-given question,
given that,
the number is 358.
300 + 50  + 8 = 358.
so the number is 358.

### Lesson 3.10 Problem Solving • Equal Groups

Essential Question
How can acting it out help when solving a problem about equal groups?

Theo puts his stickers in 5 rows. There are 3 stickers in each row. How many stickers does Theo have?

Unlock the Problem

Show how to solve the problem.

The number of stickers does Theo have = 15

Explanation:
In the above-given question,
given that,
Theo puts  his stickers in 5 rows.
There are 3 stickers in each row.
5 x 3 = 15.
so the number of stickers = 15.

HOME CONNECTION
• Your child used counters to act out the problem. Counters are a concrete tool that helps children act out the problem.

Try Another Problem

Act out the problem.
Draw to show what you did.

Question 1.
Maria puts all of her postcards in 4 rows. There are 3 postcards in each row. How many postcards does Maria have?
__12____ postcards

The number of postcards Maria have = 12.

Explanation:
In the above-given question,
given that,
Maria puts all of her postcards in 4 rows.
There are 3 postcards in each row.
4 X 3 = 12.
so the number of post cards = 12.

Question 2.
Jamal puts 4 toys in each box. How many toys will he put in 4 boxes?
__16__ toys

The number of toys he put in 4 boxes = 16.

Explanation:
In the above-given question,
given that,
Jamal puts 4 toys in each box.
4 X 4 = 16.
so the number of toys = 16.

Math Talk
MATHEMATICAL PRACTICES

Explain how acting it out and skip counting helped you solve the second problem.

Share and Show MATH BOARD

Act out the problem.
Draw to show what you did.

Question 3.
Mr. Fulton puts 3 bananas on each tray. How many bananas are on 4 trays?

__12_ bananas

The number of bananas on 4 trays = 12.

Explanation:
In the above-given question,
given that,
Mr. Fulton puts 3 Bananas on each tray.
4 X 3 = 12.
so the number of bananas = 12.

Question 4.
There are 3 rows of apples. There are 5 apples in each row. How many apples are there?

_15__ apples

The number of apples = 15.

Explanation:
In the above-given question,
given that,
There are 3 rows of apples.
There are 5 apples in each row.
5 x 3 = 15.
so the number of apples = 15.

Question 5.
THINK SMARTER
There are 4 plates. Dexter puts 2 grapes on each plate. Then he puts 2 grapes on each of 6 more plates. How many grapes in all does he put on the plates?

_20__ grapes

The number of grapes he put = 20.

Explanation:
In the above-given question,
given that,
There are 4 plates. Dexter puts 2 grapes on each plate.
Then he puts 2 grapes on each of 6 more plates.
4 X 2 + 2 X 6 = 20.
so the number of grapes he put = 20.

Problem Solving • Applications

Question 6.
MATHEMATICAL PRACTICE
Make Connections
Angela used these counters to act out a problem.
Write a problem about equal groups that Angela could have modeled with these counters.

_____5____________________
______5___________________
_______10__________________

The number of counters = 2.

Explanation:
In the above-given question,
given that,
Angela used 2 counters.
5 + 5 = 10.
so the number of counters = 2.

Question 7.
THINK SMARTER
Max and 4 friends get books from the library. Each person gets 3 books. Draw a picture to show the groups of books.

How many books did they get?
_15_ books

The number of books they bought from library = 15.

Explanation:
In the above-given question,
given that,
Max and 4 friends get books from the library.
5 X 3 = 15.
so the number of books He bought from library = 15.

TAKE HOME ACTIVITY
• Ask your child to explain how he or she solved one of the problems in this lesson.

### Problem Solving • Equal Groups Homework & Practice 3.10

Act out the problem.
Draw to show what you did.

Question 1.
Mr. Anderson has 4 plates of cookies. There are 5 cookies on each plate. How many cookies are there?

The number of cookies = 20.

Explanation:
In the above-given question,
given that,
Mr. Anderson has 4 plates of cookies.
There are 5 cookies on each plate.
4 X 5 = 20.
so the number of cookies = 20.

Question 2.
Ms. T rane puts some stickers in 3 rows. There are 2 stickers in each row. How many stickers does Ms. T rane have?
_6_ stickers

The number of stickers = 6.

Explanation:
In the above-given question,
given that,
Ms. T rane puts some stickers in 3 rows.
There are 2stickers in each row.
3 X 2 = 6.
so the number of stickers = 6.

Question 3.
WRITE Math
Draw 3 rows with 2 counters in each row. Write a word problem that can be acted out using these counters.
______________
______________

Lesson Check

Question 1.
Jaime puts 3 oranges on each tray. How many oranges are on 5 trays?
__15_

The number of oranges = 15.

Explanation:
In the above-given question,
given that,
Jaime puts 3 oranges on each tray.
3 X 5 = 15.
so the number of oranges = 15.

Question 2.
Maurice has 4 rows of toys with 4 toys in each row. How many toys does he have?
___16_

The number of toys = 16.

Explanation:
In the above-given question,
given that,
Maurice has 4 rows of toys with 4 toys in each row.
4 X 4 = 16.
so the number of toys = 16.

Spiral Review

Question 3.
Jack has 12 pencils and 7 pens. How many more pencils than pens does he have?
_5_ pencils

The number of more pencils than pens = 5.

Explanation:
In the above-given question,
given that,
Jack has 12 pencils and 7 pens.
12 – 7 = 5.
so the number of more pencils than pens = 5.

Question 4.
Laura has 9 apples. Jon has 6 apples. How many apples do they have together?
_15_ apples

The number of apples = 15.

Explanation:
In the above-given question,
given that,
Laura has 9 apples.
Jon has 6 apples.
9 + 6 = 15
so the number of apples = 15.

Question 5.
Circle the even number.

The even number is 8.

Explanation:
In the above-given question,
given that,
the numbers are 1, 3, 5, and 8.
the even number is 8.

Question 6.
What is the sum?
7 + 9 = _16_

The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 9.
7 + 9 = 16.
so the sum is 16.

### Lesson 3.11 Algebra • Repeated Addition

Essential Question
How can you write an addition sentence for problems with equal groups?

Listen and Draw
Use counters to model the problem.
Then draw a picture of your model.

Math Talk
MATHEMATICAL PRACTICES

Describe how you found the number of counters in your model.

Model and Draw

You can use addition to find the total amount when you have equal groups.

The sum is  12.

Explanation:
In the above-given question,
given that,
the 3 rows of 4.
4 + 4 + 4 = 12.
so the sum is 12.

Share and Show

Find the number of shapes in each row.
Complete the addition sentence to find the total.

Question 1.

3 rows of __5_
_5_ + _5_ + _5_ = __15_

The sum is  15.

Explanation:
In the above-given question,
given that,
the 3 rows of 5.
5 + 5 + 5 = 15.
so the sum is 12.

Question 2.

4 rows of _4__
4__ + _4_ + _4_ = _12__

The sum is  12.

Explanation:
In the above-given question,
given that,
the 4 rows of 4.
4 + 4 + 4 = 12.
so the sum is 12.

Question 3.

5 rows of __3_
_3_ + _3_ + _3_ + _3_ + _3_ = _15__

The sum is  25.

Explanation:
In the above-given question,
given that,
the 5 rows of 3.
5 + 5 + 5 + 5 + 5 = 25.
so the sum is 25.

Find the number of shapes in each row. Complete the addition sentence to find the total.

Question 4.

2 rows of __4_
_4_ + _4_ = _8__

The sum is  8.

Explanation:
In the above-given question,
given that,
the 2 rows of 4.
4 + 4  = 8.
so the sum is 8.

Question 5.

3 rows of __3_
_3_ + _3_ + _3_ = _9__

The sum is  9.

Explanation:
In the above-given question,
given that,
the 3 rows of 3.
3 + 3 + 3 = 9.
so the sum is 9.

Question 6.

4 rows of __5_
_5_ + _5_ + _5_ + _5_ = _20__

The sum is  20.

Explanation:
In the above-given question,
given that,
the 4 rows of 5 .
5 + 5 + 5 + 5 = 20.
so the sum is 20.

Question 7.

4 rows of __2_
_2_ + _2_ + _2_ + _2_ = _8__

The sum is  8.

Explanation:
In the above-given question,
given that,
the 4 rows of 2.
2 + 2 + 2 + 2 = 8.
so the sum is 8.

Question 8.

5 rows of __5_
_5_ + _5_ + _5_ + _5_ + _5_ = _25__

The sum is  25.

Explanation:
In the above-given question,
given that,
the 5 rows of 5.
5 + 5 + 5 + 5 + 5 = 25.
so the sum is 25.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 9.
THINK SMARTER
There are 6 photos on the wall. There are 2 photos in each row. How many rows of photos are there?

The number of rows = 3.

Explanation:
In the above-given question,
given that,
There are 6 photos on the wall.
There are 2 photos in each row.
2 X 3 = 6.
so the number of rows = 3.

Question 10.
GO DEEPER
Mrs. Chen makes 5 rows of 2 chairs and 2 rows of 3 chairs. How many chairs does Mrs. Chen use?

_16_ chairs

The number of chairs = 16.

Explanation:
In the above-given question,
given that,
Mrs. Chen makes 5 rows of 2 chairs and 2 rows of 3 chairs.
5 X 2 = 10 + 2 X 3 = 6.
10 + 6 = 16.
so the number of chairs = 16.

Question 11.
THINK SMARTER
Find the number of counters in each row. Complete the number sentence to find the total number of counters.

__4_ + _4_ + _4_ = _12__
_12_ counters

The number of counters = 12.

Explanation:
In the above-given question,
given that,
the 3 rows of 4.
4 + 4 + 4 = 12.
so the sum is 12.

TAKE HOME ACTIVITY
• Have your child use small objects to make 2 rows with 4 objects in each row. Then have your child find the total number of objects.

### Algebra • Repeated Addition Homework & Practice 3.11

Find the number of shapes in each row. Complete the addition sentence to find the total.

Question 1.

3 rows of _4__
_4_ + _4_ + _4_ = _12__

The sum is 12

Explanation:
In the above-given question,
given that,
the 3 rows of 4.
4 + 4 + 4 = 12.
so the sum is 12.

Question 2.

2 rows of __5_
_5_ + _5_ = _10__

The sum is  10.

Explanation:
In the above-given question,
given that,
the 2 rows of 5.
2 + 2 + 2 + 2 + 2 = 10.
so the sum is 10.

Problem Solving

Solve. Write or draw to explain.

Question 3.
A classroom has 3 rows of desks. There are 5 desks in each row. How many desks are there altogether?
__15__ desks

The number of desks = 15.

Explanation:
In the above-given question,
given that,
A classroom has 3 rows of desks.
There are 5 desks in each row.
3 X 5 = 15.
5 + 5 + 5 = 15.
so the sum is 15.

Question 4.
WRITE Math
Explain how to write an addition sentence for a picture of 4 rows with 3 items in each row.
__3___+_3_+_3_+_3_=_12___
________12_________________

The number of desks = 12.

Explanation:
In the above-given question,
given that,
A classroom has 4 rows of desks.
There are 3 desks in each row.
4 X 3 = 12.
4 + 4 + 4 = 12.
so the sum is 12.

Lesson Check

Question 1.
A scrapbook has 4 pages. There are 2 stickers on each page. How many stickers are there?
_8_ stickers

The number of stickers = 8.

Explanation:
In the above-given question,
given that,
A scrapbook has 4 pages.
There are 2 stickers on each page.
4 X 2 = 8.
so the sum is 8.

Question 2.
Ben makes 5 rows of coins. He puts 3 coins in each row. How many coins are there?
_15_ coins

The number of coins = 15.

Explanation:
In the above-given question,
given that,
A classroom has 3 rows of desks.
There are 5 desks in each row.
3 X 5 = 15.
5 + 5 + 5 = 15.
so the sum is 15.

Spiral Review

Question 3.
There are 5 apples and 4 oranges. How many pieces of fruit are there?
_20_ pieces

The number of fruits = 20.

Explanation:
In the above-given question,
given that,
There are 5 apples and 4 oranges.
4 X 5 = 20.
so the sum is 20.

Question 4.
Count by tens.
40, _50_, _60_, _70_, _80_

The numbers are 40, 50, 60, 70, and 80.

Explanation:
In the above-given question,
given that,
the numbers count by tens.
40, 50, 60, 70, and 80.

Question 5.
Write the number 260 using words.
__2 hundred _sixty_

The number is 2 hundred sixty.

Explanation:
In the above-given question,
given that,
the number is 260.
200 + 60 = 260.

Question 6.
Write a fact with the same sum as 7 + 5.
____12____