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Lesson: 1 Algebra • Add in Any Order

Lesson: 2 Count On

Lesson: 4 Use Doubles to Add

Lesson: 5 Doubles Plus 1 and Doubles Minus 1

Lesson: 6 Practice the Strategies

Mid-Chapter Checkpoint

Lesson: 7 Add 10 and More

Lesson: 8 Make a 10 to Add

Lesson: 9 Use Make a 10 to Add

Lesson: 10 Algebra • Add 3 Numbers

Lesson: 11 Algebra • Add 3 Numbers

Lesson: 12 Problem Solving • Use Addition Strategies

Curious George

There are 4 fish in the tank. If you doubled the number of fish, how many would there be?

### Addition Strategies Show What You Know

Use to show each number. Draw the cubes. Write how many in all.

Question 1.

2         +           3         =                 5

+ =

Therefore, there are 5 in total

Use the picture. Write the addition sentence.

Question 2.

Answer: 2 + 4 = 6

Explanation:

The number of red bugs =  2

The number of green bugs = 4

Total : 2 + 4 = 6

Therefore, the total number of bug pictures are 6.

Question 3.

Explanation:

The number of purple butterflies = 3

The number of orange butterflies = 1

Total butterflies : 3 + 1 = 4

Therefore, there are 4 butterflies

Use and to add. Color to match. Write each sum.

Question 4.

1 + 4 = __

+ =

Total : 1 + 4 = 5

Question 5.

4 + 1 = ___

+ =

Total : 4 + 1 = 5

Visualize It

Understand Vocabulary
Use a review word to complete the sentence.

Question 1.
4 and 3 in 4 + 3 = 7 are ___

In 4 + 3 = 7 , 4 and 3 are addends.

Question 2.
4 + 3 = 7 is an ___

4 + 3 = 7 is an Addition sentence.

Question 3.
4 cubes and 3 cubes are put together to __ the groups.

4 cubes and 3 cubes are put together to 7 the groups.

### Addition Strategies Game: Ducky Sums

Ducky Sums

Materials

Play with a partner.
2. Toss the . Move your that number of spaces.
3. Use a a , and a to make the spinner. Spin.
4. Add the number you spin and the number your is on. Your partner checks the sum.
5. Take turns. The winner is the first person to get to END.

Going Places with GOMATH! words

Concentration

Materials
2 sets of word cards
How to Play
Play with a partner.

1. Mix the cards. Put the cards in rows blank side up.
2. Turn over two cards.
• If the words match, keep the pair of cards.
• If the words do not match, turn the cards blank side up again.
3. The other player takes a turn.
4. Find all the pairs. The player with more pairs wins.

The Write Way

Reflect
Choose one idea. Draw and write about it.
• Mary writes the addition sentence 4 + 5.
Rose writes the addition sentence 5 + 4.
Will they get the same answer? Tell how you know.

### Lesson 3.1 Algebra • Add in Any Order

Essential Question
What happens if you change the order of the addends when you add?

Listen and Draw

Use and . Color to model the problem. Write the addition sentence.

7 + 8 = 15

+

=

=   1               2            3            4              5             6             7            8           9           10          11         12        13           14          15

Use and . Color to change the order. Write the addition sentence.

Addition sentence ( changing the order )  :
8 + 7 = 15

+ =

= 1               2            3            4              5             6             7            8           9           10          11         12        13           14          15

Math Talk
MATHEMATICAL PRACTICES

Describe how knowing the fact 7 + 8 helps you find 8 + 7.

Model and Draw

5 + 6 = 11
Fact : Even after changing the order of addends , the sum is same .

Share and Show MATH BOARD

Question 1.

8 + 9 = 17
9 + 8 = 17

Question 2.

6 + 7 = 1 3
7 + 6 = 13

Question 3.

7 + 5 = 12
5 + 7 = 12

Question 4.

2 + 8 = 10
8 + 2 = 10

Question 5.

9 + 2 = 11
2 + 9 = 11

Question 6.

8 + 4 = 12
4 + 8 = 12

MATHEMATICAL PRACTICE

Question 7.

9 + 6 = 15
6 + 9 = 15

Question 8.

Answer: 0 + 6 = 6
6 + 0 = 6

Question 9.

8 + 3 = 11
3 + 8 = 11

Question 10.

5 + 9 = 14
9 + 5 = 14

Question 11.

4 +5 = 9
5 + 4 = 9

Question 12.

8 + 5 = 13
5 + 8 = 13

Question 13.
THINK SMARTER
Nina uses the number sentence 3 + 7 = 10 to tell about her toy trucks. What other number sentence could Nina write to tell about her trucks using the same addends?
__ = __ + __

Given,
Addition sentence : 3 + 7 = 10
Other Addition sentence : 10 = 7 + 3

Question 14.
GO DEEPER
Explain If Adam knows 4 + 7 = 11, what other addition fact does he know? Write the new fact in the box. Tell how Adam knows the new fact.

________________________
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
________________________

Given ,
Addition sentence = 4 + 7 = 11
Other addition fact : 7 + 5 = 11

Problem Solving • Applications WRITE Math

Write two addition sentences you can use to solve the problem. Write the answer.

Question 15.
Roy sees 4 big fish and 9 small fish. How many fish does Roy see?
__ fish
__ + __ = __
__ + __ = __

Explanation:
Given,
Number of big fishes = 4
Number of small fishes = 9
Total number of fishes = 4 + 9 = 13
Therefore, Roy sees 13 fishes
4 + 9 = 1 3
9 + 3 = 13

Question 16.
THINK SMARTER
Justin has 6 toys. He gets 8 more toys. How many toys does he have now?
__ toys
__ + __ = __
__ + __ = __

Explanation:
Given,
Justin has 6 toys.
Number of toys he gets more = 8
Total : 6 + 8 = 14
Therefore, total number of toys = 14
6 + 8 = 14
8 + 6 = 14

Question 17.
THINK SMARTER
Anna has two groups of pennies. She has 10 pennies in all. When she changes the order of the addends, the addition sentence is the same. What sentence can Anna write?

__ = __ + __

Answer: 5 + 5 = 10

Explanation :
Given,
Anna has 2 groups of pennies and also total number of pennies = 10
5 + 5 = 10

Question 18.
THINK SMARTER
Write the addends in a different order.
3 + 4 = 7
__ + __ = 7

4 + 3 = 7

TAKE HOME ACTIVITY
• Ask your child to explain what happens to the sum when you change the order of the addends.

### Algebra • Add in Any Order Homework & practice 3.1

Question 1.

7 + 3 =10
3 + 7 = 10

Question 2.

4 + 7 = 11
7 + 4 = 11

Question 3.

9 + 8 = 17
8 + 9 = 17

Problem Solving

Write two addition sentences you can use to solve the problem.

Question 4.
Camila has 5 shells. Then she finds 4 more shells. How many shells does she have now?
__ + __ = __
__ + __ = __

Explanation :
Given that,
The number of shells Camila have = 5
The number of shells she finds more = 4
Total : 5+4= 9
Therefore, the number of shells she have now = 9
5 + 4 = 9
4 + 5 = 9

Question 5.
WRITE Math
Use pictures or words to explain how you would use the sum of 13 to show how to add in any order.

13 can be shown as the sum of 6 and 7
6 + 7 = 13

+

=

Lesson Check

Question 1.
What is another way to write 7 + 6 = 13?
6 + 7 = __

Answer: 6 + 7 = 13

Question 2.
What is another way to write 6 + 8 = 14?
8 + 6 = __

Answer: 8 + 6 = 14

Spiral Review

Question 3.
What is the sum? Write the number.

Answer: 4 + 3 = 7

Question 4.
How many nests are there? Write the number.
2 nests and 1 more nest __ nests

Explanation : 2 + 1 = 3
Therefore, total number of nests = 3

### Lesson 3.2 Count On

Essential Question
How do you count on 1, 2, or 3?

Listen

Start at 9. How can you count on to add? Add 1.

Add 1.  9 + 1 =10
Add 2.  9 + 2 = 11
Add 3.  9 + 3 = 12

Math Talk
MATHEMATICAL PRACTICES
Analyze How is counting on 2 like adding 2?

Share and Show MATH BOARD

Circle the greater addend. Draw to count on 1, 2, or 3. Write the sum.

Question 1.

6 + 2 = 8

Question 2.

6 + 3 = __

6 + 3 = 9

Question 3.

__ = 1 + 6

6 + 1 = 7

Question 4.

__ = 7 + 1

7 + 1 = 8

Question 5.

2 + 7 = __

7 + 2 = 9

Question 6.

__ = 7 + 3

7 + 3 = 10

MATHEMATICAL PRACTICE
Circle the greater addend. Count on to find the sum.

Question 7.

1 + 9 = 10

Question 8.

3 + 8 = 11

Question 9.

1 + 8 = 9

Question 10.

1 + 6 = 7

Question 11.

9 + 3 =12

Question 12.

7 + 2 = 9

Question 13.

2 + 6 = 8

Question 14.

Greater addend : 5 + 3 = 8

Question 15.

7 + 1 = 8

Question 16.

3 + 7 =10

Question 17.

9 + 2 = 11

Question 18.

3 + 4 = 7

Question 19.
GO DEEPER
Adam has 6 hats. Molly has 3 hats. They stack all their hats. Then Blake puts 2 more hats on the stack. How many hats are on the stack?
__ + __ = ___ hats
__ + __ = ___ hats

6 + 3 = 9
9 + 2 = 11

Question 20.
MATHEMATICAL PRACTICE
Explain Terry added 3 and 7. He got a sum of 9. His answer is not correct. Describe how Terry can find the correct sum.
_______________
_ _ _ _ _ _ _ _ _ _ _
_______________
_______________
_ _ _ _ _ _ _ _ _ _ _
_______________

No, he is wrong .
The sum of 3 and 7 is 10
Addition sentence :  3 + 7 = 10
Starts at 7 and count by 3 , means 8 , 9 , 10

Problem Solving • Applications WRITE Math

Draw to solve. Write the addition sentence.

Question 21.
THINK SMARTER
Cindy and Joe pick 8 oranges. Then they pick 3 more oranges. How many oranges do they pick?
__ + __ = ___ oranges

Explanation :
Given that,
The number of oranges Cindy and Joe pick = 8
The number of  more oranges they pick = 3
Total : 8 + 3 = 11 oranges
Therefore, the number of total oranges = 11

+

________________________________________________________________________________________________________

=

1                  2                3                 4                5              6                  7                  8               9               10              11

Which three numbers can you use to complete the problem?

Question 22.
THINK SMARTER
Jennifer has __ stamps. She gets __ more stamps. How many stamps does she have now?
__ + __ = __ stamps

Explanation :
Jennifer has  7 stamps
Number of more stamps = 3
7 + 3 = 10

Question 23.
THINK SMARTER
Count on from 3. Write the number that shows 2 more in the box below

TAKE HOME ACTIVITY
• Have your child tell you how to count on to find the sum for 6 + 3.

### Count On Homework & Practice 3.2

Circle the greater addend. Count on to find the sum.

Question 1.

8 + 2 = 10

Question 2.

1 + 7 = 8

Question 3.

3 + 9 = 12

Question 4.

5 + 3 = 8

Problem Solving

Draw to solve. Write the addition sentence.

Question 5.
Jon eats 6 crackers. Then he eats 3 more crackers. How many crackers does he eat?
__ + __ = __ crackers

Explanation :
Number of crackers Jon eat = 6
Number of crackers he ate more = 3
Total : 6 + 3 = 9 Crackers
Therefore, Jon ate 9 crackers .

Question 6.
WRITE Math
Use pictures or words to explain how you can find 9 + 3 by counting on.

9 + 3 = 12

+  =

1      2      3        4      5       6      7       8     9              10     11    12

Lesson Check

Question 1.
Count on to solve 5 + 2. Write the sum
__

5 + 2 = 7

Question 2.
Count on to solve 1 + 9. Write the sum.
__

1 + 9 = 10

Spiral Review

Question 3.
What does the model show?
__ + __ = ___

3 + 3 = 6

+ =

Question 4.
4 ducks swim in the pond. 2 more ducks join them. How many ducks are in the pond now? Complete the model and the number sentence.

4 + 2 = __

4 + 2 = 6

Essential Question
What are doubles facts?

Listen and Draw

Use . Draw to solve. Write the addition sentence.

__ + __ = __

Answer: 2 + 2 = 4

+ =

Math Talk
MATHEMATICAL PRACTICES
Use Tools Describe how your model shows a doubles fact.

Model and Draw

Why are these doubles facts?

1 + 1 = 2                                                           2 + 2 = 4

+ =                                         +    =

Share and Show MATH BOARD

Use . Draw to show your work. Write the sum.

Question 1.

3 + 3 = 6

+

_____________________________

=

Question 2.

Answer: 4 + 4 = 8

+

___________________________

=

Question 3.

Answer: 5 + 5 = 10

_______________________________________________

Question 4.

Answer: 6 + 6 = 12

____________________________________________________________________________

=

GO DEEPER
Use . Draw to show your work. Write the sum.

Question 5.

Answer: 7 + 7 = 14

+

______________________________________________________________________________

=

Question 6.

Answer: 8 + 8 = 16

+

________________________________________________________________________

Question 7.
MATHEMATICAL PRACTICE
Look for a Pattern Look back at Exercises 1 – 6. Write the fact that would be next in the pattern. Draw to show your work.

Question 8.

Answer: 5 + 5 = 10

+

________________________________________________________________

=

Question 9.

Answer: 7 + 7 = 14

+

______________________________________________________________________________

=

Question 10.

Answer: 6 + 6 = 12

____________________________________________________________________________

=

Question 11.

Answer: 10 + 10 = 20

+   =

Question 12.

Answer: 4 + 4 = 8

+

___________________________

=

Question 13.

Answer: 8 + 8 = 16

+

________________________________________________________________________

Problem Solving • Applications WRITE Math

Write a doubles fact to solve.

Question 14.
THINK SMARTER
Meg and Paul each put 8 apples into a basket. How many apples are in the basket?
__ + ___ = __ apples

Explanation :
The number of apples meg kept in a basket = 8
The number of apples Paul kept in a basket = 8
Total : 8 + 8 = 16 apples
Therefore, total number of apples in the basket = 16

Question 15.
THINK SMARTER
There are 18 people at the party. Some are boys and some are girls. The number of boys is the same as the number of girls.
__ = __ + __

Answer : 9 + 9 = 18

Explanation :
Given,
Total number of people in the party = 18
Also given , The number of boys is the same as the number of girls.
So, 9 + 9 = 18.

Question 16.
THINK SMARTER
The cubes show a doubles fact. Choose the doubles fact and the sum.

The number sentence with doubles fact = 4 + 4 = 8

TAKE HOME ACTIVITY
• Have your child choose a number from 1 to 10 and use that number in a doubles fact. Repeat with other numbers.

### Add Doubles Homework & Practice 3.3

Use . Draw to show your work. Write the sum.

Question 1.

Answer: 4 + 4 = 8

+ =

Question 2.

Answer: 6 + 6 = 12

+ =

Question 3.

Answer: 3 + 3 = 6

+ =

Question 4.

Answer: 8 + 8 = 16

+  =

Problem Solving

Write a doubles fact to solve.

Question 5.
There are 16 crayons in the box. Some are green and some are red. The number of green crayons is the same as the number of red crayons.
__ = __ + __

Answer: 16 = 8 + 8

Explanation:

Given ,
The total number of crayons in the box = 16
Also give, the number of green crayons is the same as the number of red crayons.
Now, By using doubles fact we can write number sentence as:
8 + 8 = 16

Question 6.
WRITE Math
Use pictures or words to explain how you could find the sum of 7 + 7.

7 + 7 = 14

+ =

Lesson Check

Question 1.
Write a doubles fact with the sum of 18.
__ + __ = 18

A doubles fact with the sum of 18 =
9 + 9 = 18

Question 2.
Write a doubles fact with the sum of 12.
__ + __ = 12

A doubles fact with the sum of 12 =
6 + 6 = 12

Spiral Review

Question 3.
What is the sum of 3 and 2? Draw the . Write the sum.
__+ __ = __

Explanation:
The sum of 3 and 2 is 5
Number sentence :
3 + 2 = 5

+ =

Question 4.
Draw circles to show the numbers. Write the sum.
__ + __ = __

### Lesson 3.4 Use Doubles to Add

Essential Question

Listen and Draw

Draw to show the problem. Write the number of fish.

There are __ fish.

Math Talk
MATHEMATICAL PRACTICES

Look for Structure How does knowing 3 + 3 help you solve the problem?

Model and Draw

So, 6 + 7 = __

6 + 7 =  13
By using doubles fact ,
13 can be shown as 6 + 6 + 1 = 13

Share and Show MATH BOARD

Use to model. Make doubles. Add.

Question 1.

9 + 8 = 17
8 + 8 + 1 = 17
So, 9 + 8 = 17

Question 2.

5 + 5 + 1 = 11
So, 5 + 6 = 11

MATHEMATICAL PRACTICE
Use a Concrete Model

Question 3.

7 + 8 = 15
By using doubles fact ,
7 + 7 + 1 = 15

Question 4.

5 + 4 = 9
By using doubles fact ,
4 + 4 + 1 = 9

Question 5.
THINK SMARTER
Mandy has the same number of red and yellow leaves. Then she finds one more yellow leaf. There are 17 leaves in all. How many leaves are red? How many leaves are yellow?
__ red leaves __ yellow leaves

Explanation :
Given , the total number of leaves = 17
Also given , Mandy has the same number of red and yellow leaves
And also find another yellow flower
By using doubles plus one effect , we can show addition sentence as :
8 + 8 + 1 = 17
Therefore,
Number of red flowers = 8
Number of yellow flowers = 9.

GO DEEPER
Explain Would you use count on or doubles to solve? Why?

Question 6.
3 + 4

Answer: 3 + 3 + 1 = 7
Doubles plus one fact.

Question 7.
3 + 9

9 and count on 3

Problem Solving • Applications

Question 8.
THINK SMARTER
Use what you know about doubles to complete the Key. Write the missing sums.

Question 9.
THINK SMARTER
There are 7 red cubes. There are 8 yellow cubes. How many cubes are there in all? Use a double to add. Write the missing numbers.

Explanation:
The number of red cubes = 7
The number of yellow cubes = 8
Total : 7 + 8 = 15
Number sentence with double fact = 7 + 7+ 1 = 15
So, 7 + 8 = 15

TAKE HOME ACTIVITY
• Ask your child to show you how to use what he or she knows about doubles to help solve 6 + 5.

### Use Doubles to Add Homework & Practice 3.4

Question 1.

5 + 6 = 11
The number sentence with doubles fact =
5 + 5 + 1 = 11

Question 2.

So, 9 + 8 = __

9 + 8 = 17
The number sentence with doubles fact =
8 + 8 + 1 = 17

Question 3.
8 + 7 = __
Answer: Doubles plus one fact .

Explanation :
8 + 7 = 15
The number sentence with doubles fact :
7 + 7 + 1 = 15

Question 4.
6 + 5 = __

Answer: Doubles plus one fact .

Explanation :
6 + 5 = 11
The number sentence with doubles plus one fact :
5 + 5 + 1 = 11

Question 5.
7 + 6 = __

Answer: Doubles plus one fact .

Explanation :
7 + 6 = 13
The number sentence with doubles plus one fact :
6 + 6 + 1 = 13

Problem Solving

Solve. Draw or write to explain.

Question 6.
Bo has 6 toys. Mia has 7 toys. How many toys do they have?
__ toys

Explanation:
The number of toys Bo have = 6
The number of toys Mia have = 7
Total : 6 +7 = 13
Therefore, the total number of toys they both have = 13

Question 7.
WRITE Math
Draw and label a picture to show how knowing 7 + 7 helps you find 7 + 8.

Lesson Check

Question 1.
Use doubles to find the sum of 7 + 8. Write the number sentence.
__ + __ + __ = __
The sum of 7 + 8 = 15
The number sentence with doubles plus one fact :
7 + 7 + 1 = 15

Spiral Review

Question 2.
Circle the part you take from the group. Cross it out. Then write the difference.

8 – 6 = __

8 – 6 = 2

Question 3.
There are 7 gray kittens. 2 kittens are black. How many fewer black kittens are there than gray kittens?
Use the bar model to solve. Then write the number sentence.

__ – __ = __

7 – 2 = 5
Therefore, there are 5 fewer black kittens are there than gray kittens.

### Lesson 3.5 Doubles Plus 1 and Doubles Minus 1

Essential Question
How can you use what you know about doubles to find other sums?

Listen and Draw

How can you use the doubles fact, 4 + 4, to solve each problem? Draw to show how. Complete the addition sentence.

1. 4 + 4 + 1 = 9 – Doubles plus one fact
2.  4 + 4 – 1 = 7 – Doubles minus one fact.

Math Talk
MATHEMATICAL PRACTICES

Explain what happens to the doubles fact when you increase one addend by one or decrease one addend by one.

Share and Show MATH BOARD

Use to add. Solve the doubles fact. Then use doubles plus one or doubles minus one. Circle + or − to show how you solved each one.

Question 1.

2 + 2 = 4
2+ 2+ 1 = 5  doubles plus one
2 + 2 – 1 = 3 – doubles minus one.

Question 2.

3 + 3 = 6
3 + 3 + 1 = 7 – Doubles plus one
3 + 3 – 1 = 5 – Doubles minus one

Question 3.

4 + 4 = 8
4 + 4 + 1 = 9 – Doubles plus one
4 + 4 – 1 = 7 – Doubles minus one

MATHEMATICAL PRACTICE
Make Connections Add. Write the doubles fact you used to solve the problem.

Question 4.
8 + 9 = __

Doubles plus one fact .

Explanation :
8 + 9 = 17
The number sentence with doubles plus one fact :
8 + 8 + 1 = 17

Question 5.
2 + 3 = __

Doubles plus one fact .
Explanation :
2 + 3 = 5
The number sentence with doubles plus one fact :
2 + 2 + 1 = 5

Question 6.
7 + 6 = __

Doubles plus one fact .

Explanation :
7 + 6 = 13
The number sentence with doubles plus one fact :
6 + 6 + 1 = 15

Question 7.
6 + 5 = __

Doubles plus one fact .

Explanation :
6 + 5 = 11
The number sentence with doubles plus one fact :
5 + 5 + 1 = 15

Question 8.
3  + 4 = __

Doubles plus one fact .

Explanation :
3 + 4 = 7
The number sentence with doubles plus one fact :
3 + 3 + 1 = 7

Question 9.
4 + 5 = __

Doubles plus one fact .

Explanation :
4 + 5 = 9
The number sentence with doubles plus one fact :
4 + 4 + 1 = 15

Question 10.
THINK SMARTER
Brianna has 6 toy ducks. Ian has the same number of toy ducks and a toy fish. How many toys do Brianna and Ian have?

Explanation :
The number of toy ducks Brianna

THINK SMARTER
Add. Write the doubles plus one fact. Write the doubles minus one fact.

Question 11.

6 + 6 = 12
6 + 6 + 1 = 1 3
6 + 6 – 1 = 11

Problem Solving • Applications

Question 12.
GO DEEPER
Grace wants to write the sums for the doubles plus one and doubles minus one facts. She has started writing sums. Help her find the rest of the sums.

Question 13.
THINK SMARTER
Choose all the doubles facts that can help you solve 4 + 5.

9 + 9 = 18 – No
5 + 5 = 10 -Yes
4 + 4 = 8 – Yes

TAKE HOME ACTIVITY
• Have your child explain how to use a doubles fact to solve the doubles plus one fact 4 + 5 and the doubles minus one fact 4 + 3.

### Doubles Plus 1 and Doubles Minus 1 Homework & Practice 3.5

Add. Write the doubles fact you used to solve the problem.

Question 1.
8 + 7 = __

Doubles plus one fact .

Explanation :
8 + 7 = 15
The number sentence with doubles plus one fact :
7 + 7 + 1 = 15

Question 2.
6 + 7 = __

Doubles plus one fact .

Explanation :
6 + 7 = 13
The number sentence with doubles plus one fact :
6 + 6 + 1 = 13

Question 3.
4 + 3 = __

Doubles plus one fact .

Explanation :
4 + 3 = 7
The number sentence with doubles plus one fact :
3 + 3 + 1 = 7

Question 4.
2 + 1 = __

Doubles plus one fact .

Explanation :
2 + 1 = 3
The number sentence with doubles plus one fact :
1 + 1 + 1 = 3

Question 5.
8 + 9 = __

Doubles plus one fact .

Explanation :
8 + 9 = 17
The number sentence with doubles plus one fact :
8 + 8 + 1 = 17

Question 6.
3 + 2 = __

Doubles plus one fact .

Explanation :
3 + 2 = 5
The number sentence with doubles plus one fact :
2 + 2 + 1 = 5

Problem Solving

Question 7.
__ + ___ = 17

9 + 8 = 17

Question 8.
WRITE Math
Use pictures or words to explain how you would use doubles plus one to solve 4 + 5.

4 + 5 = 9
By using doubles plus one fact ,
4 + 4 + 1 = 9

Lesson Check

Question 1.
Use the picture. Write a doubles plus one number sentence.

__ + __ + __

The number sentence with double plus one :
2 + 2 + 1 = 5

Question 2.
Which doubles fact helps you solve 8 + 7 = 15? Write the number sentence.
__ + __ + __

8 + 7 = 15
The number sentence with doubles plus one fact  :
7 + 7 + 1 = 15

Spiral Review

Question 3.
There are 7 large dogs and 2 small dogs. How many dogs are there?
Use ○ to solve. Draw to show your work. Write the number sentence and how many.
__ dogs

7 + 2 = 9
Therefore, total number of dogs = 9

Question 4.
What is the sum of 2 and 1 more? Draw the . Write the sum.
__ 2 + 1 = __

Answer : 2 + 1 = 3

+ =

### Lesson 3.6 Practice the Strategies

Essential Question
What strategies can you use to solve addition fact problems?

Listen and Draw

Think of different addition strategies. Write or draw two ways you can solve 4 + 3.

Math Talk
MATHEMATICAL PRACTICES
Look for Structure Why is the sum the same when you use different strategies?

Model and Draw

These are the ways you have learned to find sums.

Share and Show MATH BOARD

Question 1.

4 + 1 =5
5+ 1 = 6
6+ 1= 7
7 + 1 = 8

Question 2.

5+ 2= 7
6 + 2 = 8
7 + 2 = 9
8 + 2 = 10

Question 3.

6 + 3 = 9
7 + 3 = 10
8 + 3 = 11
9 + 3 = 1 2

Question 4.

7 + 7 = 14
8 + 8 = 16
9 + 9 =18
10 + 10 = 20

Question 5.

Doubles plus one :
5 + 5 + 1 = 11
6 + 6 + 1 = 13
Doubles minus one :
7 + 7 – 1 = 15
8 + 8 -1 = 17

MATHEMATICAL PRACTICE
Apply Add. Color doubles facts . Color count on facts . Color doubles plus one or doubles minus one facts .

Question 6.
9 + 9 = __

Doubles fact
9 + 9 = 18

Question 7.
7 + 1 = __

7 + 1 = 8

Question 8.
5 + 3 = __

5 + 3 = 8

Question 9.
2 + 9 = __

2 + 9 = 11

Question 10.
7 + 3 = __

7 + 3 = 10

Question 11.
7 + 7 = __

7 + 7 = 14

Question 12.
6 + 5 = __

6 + 5 = 11

Question 13.
2 + 8 = __

8 + 2 = 10

Question 14.
8 + 8 = __

8 + 8 = 16

Question 15.
8 +9 = __

8 + 9 = 17

Question 16.
9 + 3 = __

9 + 3 = 12

Question 17.
7 + 8 = __

7 + 8 = 15

THINK SMARTER
Make a counting on problem. Write the missing numbers.

Question 18.
__ birds were in a tree. __ more birds flew there. How many birds are in the tree now?
__ birds

The birds on a tree = 7
The number of birds flew there = 3
Total : 7 + 3 = 10

TAKE HOME ACTIVITY
• Have your child point out a doubles fact, a doubles plus one fact, a doubles minus one fact, and a fact he or she solved by counting on. Have him or her describe how each strategy works.

### Practice the Strategies Homework & Practice 3.6

Add. Color doubles facts . Color count on facts . Color doubles plus one or doubles minus one facts .

Question 1.
8 + 8 = __

8 + 8 = 16

Question 2.
8 + 1 = __

8 + 1 = 9

Question 3.
1 + 7 = __

1 + 7 = 8

Question 4.
8 + 3 = __

8  + 3 = 11

Question 5.
5 +5 = __

5 + 5 = 10

Question 6.
8 + 7 = __

8 + 7 = 15

Question 7.
8 + 9 = __

8 + 9 = 17

Question 8.
6 + 3 = __

6 + 3 = 9

Question 9.
6 + 6 = __

6 + 6 = 12

Problem Solving

Make a counting on problem. Write the missing numbers.

Question 10.
__ apples are in a bag. __ more apples are put in the bag. How many apples are in the bag now?
__ apples

5 apples are in a bag.
2 more apples are put in the bag.
Total number of apples = 5 + 2 = 7

Question 11.
WRITE Math
Use pictures or words to explain a strategy you would use to find 8 + 9.

8 + 9 = 17

Lesson Check

Question 1.
Which strategy would you use to find 2 + 8? Explain how you decided.
_________________________
_________________________

Count on.
8 + 2 = 10

Question 2.
What is the sum of 9 + 9? Write the number.
__

The sum of 9 + 9= 18

Spiral Review

Question 3.
What is the sum of 5 + 2 or 2 + 5? Why is the sum the same?
_________________________
_________________________

Answer: The sum of 5 + 2 or 2 + 5 = 7
The sum is same because

Question 4.
How many flowers are there? Write the number.
3 flowers and 3 more flowers __ flowers

3 + 3 = 6

Concepts and Skills

Question 1.

4 + 8 = 12

Question 2.

9 + 7 = 16

Circle the greater addend. Count on to find the sum.

Question 3.

1 + 8 = 9

Question 4.

3 + 7 = 10

Question 5.

9 + 2 = 11

Question 6.

6 + 3 = 9

Question 7.

7 + 1 = 8

Question 8.

2 + 8 = 10

Question 9.
7 + 8 = __

7 + 8 = 15
Doubles fact :
7 + 7 + 1 = 15

Question 10.
6 + 7 = __

6 +7 = 13
Doubles fact  :
6 + 6 + 1 = 13

Question 11.
9 + 8 = __

9 + 8 = 17
Doubles fact :
8 + 8 +1 = 17

Question 12.
THINK SMARTER
Write a count on 1 fact to show a sum of 8. Then write a doubles fact to show a sum of 8.

Count on fact to show sum of 8 =
7 +1 = 8
Doubles fact plus one = 4+ 4+ 1 = 8

### Lesson 3.7 Add 10 and More

Essential Question
How can you use a ten frame to add 10 and some more?

Listen and Draw

What is 10 + 5? Use and the ten frame. Model and draw to solve.

10+ 5 = 15

Math Talk
MATHEMATICAL PRACTICES
Reasoning Explain how your model shows 10 + 5.

Model and Draw
You can use a ten frame to add 10 + 6.

Share and Show MATH BOARD

Draw to show 10. Draw to show the other addend. Write the sum.

Question 1.

10 + 3 = 13

+

Question 2.

+

=

Question 3.

10+ 1 = 11

+

=

Question 4.

10 + 2 = 12

+

=

Question 5.

10+ 4 = 14

+

=

Question 6.

10+ 7 = 17

+

=

MATHEMATICAL PRACTICE
Represent a Problem
Draw to show 10. Draw to show the other addend. Write the sum.

Question 7.

10 + 8 = 18

+

=

Question 8.

10 + 2 = 12

+ =

Question 9.

10 + 6 = 16

=

+

Question 10.

10+9 = 19

+

=

Question 11.

10+ 1 = 11

+

=

Question 12.

4 + 10 = 14

+

=

Question 13.

5 + 10 = 15

+

=

Question 14.

10 + 3 = 13

+

=

Question 15.

0 + 10 = 10

Question 16.
THINK SMARTER
Draw to show 10. Draw to show the missing addend. Write the missing addend.

10+ 4 = 14

+ =

Problem Solving • Applications

GO DEEPER

Question 17.
Marina has 10 crayons. She gets 7 more crayons. How many crayons does she have now?

1 7

Explanation :
The number of crayons Marina have = 10
The number of crayons she gets more = 7
Addition sentence : 1 0 + 7 = 17
Therefore, total crayons Marina have = 17

Question 18.
THINK SMARTER
Match the models to the number sentences.

TAKE HOME ACTIVITY
• Have your child choose a number between 1 and 10 and then find the sum of 10 and that number. Repeat using other numbers.

### Add 10 and More Homework & Practice 3.7

Draw red ○ to show 10. Draw ○ yellow to show the other addend. Write the sum.

Question 1.

10 + 7 = 17

Question 2.

10+ 5 = 15

Problem Solving

Draw red and yellow ○ to solve. Write the addition sentence.

Question 3.
Linda has 10 toy cars. She gets 6 more cars. How many toy cars does she have now?
__ + __ = __ toy cars

Explanation:
The number of toys Linda have = 10
The number of toys she gets more = 6
Total : 10 + 6 = 16
Therefore, the total number of toys she have now = 16

Question 4.
WRITE Math
Use pictures or words to explain how you can solve 10 + 6.

Lesson Check

Question 1.
Draw more to show the addition fact. Then solve.

Question 2.
What number sentence does this model show? Write the number sentence.

__ + __ = __

10 + 8 = 18

Spiral Review

Question 3.
Show three different ways to make 10. Write the number sentences.

1. 2 + 8 = 10

2. 5 + 5 = 10

3. 8 + 2 = 10

Question 4.
There are 3 large turtles and 1 small turtle. How many turtles are there? Write the number sentence and how many.
__ turtles

Explanation :
The number of large turtles : 3
The number of small turtles = 1
Number sentence : 3 + 1 = 4
Therefore, total number of turtles = 4

### Lesson 3.8 Make a 10 to Add

Essential Question
How do you use the make a ten strategy to add?

Listen and Draw
What is 9 + 6? Use and the ten frame. Model and draw to solve.

9 + 6 = 15
9 + 1 = 10
10 + 5 = 15

Math Talk
MATHEMATICAL PRACTICES
Use Tools Why do you start by putting 9 counters in the ten frame?

Model and Draw

Why do you show 8 in the ten frame to find 4 + 8?

Share and Show MATH BOARD
Use and a ten frame. Show both addends. Draw to make a ten. Then write the new fact. Add.

Question 1.

9 + 5 = 14
9 + 1 = 10
So, 10 + 4 = 14

+ =

Question 2.

4 + 7 = 11
7 + 3 = 10
10 + 1 = 11

+ =

Question 3.

9 + 8 = 17
9 + 1 = 10
10+ 7 = 17

+

MATHEMATICAL PRACTICE
Use a Concrete Model

Use and a ten frame. Show both addends. Draw to make a ten. Then write the new fact. Add.

Question 4.

8 + 2 = 10
10 + 3 = 13
So, 5 + 8 = 13

+ =

Draw to make a ten. Write the missing number.

Question 5.
THINK SMARTER
Andrew has visited Cedar Hill State Park 7 times. Cathy has visited the same park 9 times. How many times did they both visit the park.

__ visits

+ =

Question 6.
THINK SMARTER
What strategy would you choose to solve 7 + 8? Why?

Problem Solving • Applications WRITE Math

Solve.

Question 7.
10 + 8 has the same sum as 9 + __.

10+ 8 = 18
9 + 9 = 18

Question 8.
10 + 7 has the same sum as 8 + __.

10 + 7 = 17
8 +  9 = 17

Question 9.
10 + 5 has the same sum as 6 + __.

10 +5 = 15
6 + 9 = 15

Question 10.
GO DEEPER
Write the numbers 6, 8, or 10 to complete the sentence __ + __ has the same sum as __ + 8

10+ 6 = 18 has the same sum of 8 + 8.

Question 11.
THINK SMARTER
The model shows 7 + 4 = 11. Write the 10 fact that has the same sum.

7 + 3 = 10
10 + 1 = 11
So, 7 + 4 = 11

TAKE HOME ACTIVITY
• Cut off 2 cups from an egg carton or draw a 5-by-2 grid on a sheet of paper to create a ten frame. Have your child use small objects to show how to make a ten to solve 8 + 3, 7 + 6, and 9 + 9.

### Make a 10 to Add Homework & Practice 3.8

Use red and yellow ○ and a ten frame. Show both addends. Draw to make a ten. Then write the new fact. Add.

Question 1.

5 + 5 = 10
10 + 2 = 12
So, 5 + 7 = 12

Question 2.

9 + 1 = 10
10 + 4 = 14
So, 9 + 5 = 14

Problem Solving

Solve.
Question 3.
10 + 6 has the same sum as 7 + __.

10 + 6 = 16
7 + 9 = 16

Question 4.
WRITE Math Use pictures or words to explain how you would use the make a ten strategy to solve 5 + 7.

5 + 7 = 12
5 + 5 = 10
10 + 2 = 12

Lesson Check

Question 1.
What sum does this model show? Write the number.

Number sentence :
10 + 5 = 15

Question 2.
What addition sentence does this model show? Write the number sentence.

Number sentence :
10 + 4 = 14

Spiral Review

Question 3.
What is the sum of 4 + 6? Write the sum.
__

4 + 6 = 8
The sum of 4 + 6 = 8

Question 4.
There are 2 big flowers and 4 small flowers. How many flowers are there? Write the number sentence and how many.
__ flowers

Explanation :
The number of big flowers = 2
The number of small flowers = 4
Number sentence : 2 + 4 = 6
Therefore, Total number of flowers = 6

### Lesson 3.9 Use Make a 10 to Add

Essential Question

Listen and Draw

Draw to show the addends. Then draw to show how to make a ten. Write the sum.

6 + 7 = 13

=

Math Talk
MATHEMATICAL PRACTICES
Represent Describe how the drawings show how to make a ten to solve 6 + 7.

Model and Draw

What is 9 + 6?

Share and Show MATH BOARD

Write to show how you make a ten. Then add.

Question 1.
What is 8 + 4?

So, 8 + 4 = __

8 + 2 + 2 = 12
10 + 2 = 12
So, 8 + 4 = 12

Question 2.
What is 5 + 7?

So, 5 + 7 = __

7 + 3 = 10
10 + 2 = 12
So, 5 + 7 = 12

THINK SMARTER
Write to show how you make a ten. Then add.

Question 3.
What is 7 + 8?

So, 7 + 8 = __

8 + 2 = 10
10 + 5 = 15
So, 7 + 8 = 15

Question 4.
What is 9 + 8?

So, 9 + 8 = __

9 + 1 = 10
1 0 + 7 = 17
So, 9 + 8 = 17 .

MATHEMATICAL PRACTICE
Use Models

THINK SMARTER
Use the model. Write to show how you make a ten. Then add.

Question 5.
Joe has 8 green balls of clay. Leah has 6 blue balls of clay. How many balls of clay do they have?

8 + 2 + 4
10 + 4 = 14
So, 8 + 6 = 14
Therefore, There are  14 balls of clay.

Problem Solving • Applications WRITE Math

Use the clues to solve. Draw lines to match.

Question 6.
Han, Luis, and Mike buy apples. Mike buys 10 red apples and 4 green apples. Luis and Mike buy the same number of apples. Match each person to his apples.

Question 7.
GO DEEPER
Look at Exercise 6. Han eats one apple. Now he has the same number of apples as Luis and Mike. How many red and green apples could he have?
__ red apples and __ green apples

7 red apples and 7 green apples

Question 8.
THINK SMARTER
Does the addition show how to make a ten to add? Choose Yes or No.

1. 8 + 2 + 2 = Yes
2. 5 + 4 + 3 = No
3. 6 + 7 + 3 = Yes

### Use Make a 10 to Add Homework & Practice 3.9

Write to show how you make a ten. Then add.

Question 1.
What is 9 + 7?

__ + __ = __
So, 9 + 7 = __

9 + 1 + 6
9 + 1 = 10
So, 9 + 6 = 15

Question 2.
What is 5 + 8?

__ + __ = __
So, 5 + 8 = __

8 + 2 + 3
8 + 2= 10
So, 5 + 8 = 13

Problem Solving

Use the clues to solve. Draw lines to match.

Question 3.
Ann eats 10 green grapes and 6 red grapes. Gia eats the same number of grapes as Ann. Match each person to her grapes.

Ann – 10 green grapes and 6 red grapes .
Gia – 7 green grapes and 9 red grapes .

Question 4.
WRITE Math
Draw to explain how you would make a ten to find 5 + 8.

Lesson Check

Question 1.
Write the number sentence. Make a ten to find 8 + 4. Write the number sentence.

__ + __ + __ = __

8 + 2 = 10
10 + 2 = 14

Spiral Review

Question 2.
What is the difference? Complete the subtraction sentence.

5 – 5 = 0

Question 3.
What is the difference? Write the difference.

8 – 2 = 6

### Lesson 3.10 Algebra • Add 3 Numbers

Essential Question

Listen and Draw

Use to model the problem. Draw to show your work.
__ birds

Math Talk
MATHEMATICAL PRACTICES

Share and Show MATH BOARD

Question 1.
5 + 2 + 3 = __

5 + 2 + 3 = 10

1.  7 + 3 = 10
2.  5 + 5 = 10

Question 2.
3 + 4 + 6 = __

3 + 4 + 6  = 13

1.  3 + 10 = 13
2.  7 + 6 =   13

MATHEMATICAL PRACTICE

Compare Models
Look at the . Complete the addition sentences showing two ways to find the sum.

Question 3.
7 + 3 + 1 = __

7 + 3 + 1 = 11

1. 7   + 4 = 11
2. 10 + 1 = 11

Question 4.
3 + 6 + 3 = __

3 + 6 + 3 = 12

1.  6 + 6 = 12
2.  3 + 9 = 12

GO DEEPER
Solve both ways.

Question 5.

2 + 3 + 7 = 12

1. 2 + 10 = 12
2. 5 +  7  = 1 2

Question 6.
THINK SMARTER
I used to model 3 addends. Use my model. Write the 3 addends.

2 + 2 + 3 = 7

Problem Solving • Applications

Question 7.
THINK SMARTER
Choose three numbers from 1 to 6. Write the numbers in an addition sentence. Show two ways to find the sum.

6 = 4 + 2
6 = 5 + 1

Question 8.
THINK SMARTER
Write each addition sentence in the box that shows the sum.

The addition sentences shows the sum 12 are :
1. 2 + 2 + 8 = 12
2.  6 + 0 + 6 = 12
The addition sentences shows the sum 13 are :

1.  3 + 5 + 5 = 13
2.  4 + 4 +5 = 13

TAKE HOME ACTIVITY
• Have your child draw to show two ways to add the numbers 2, 4, and 6.

### Algebra • Add 3 Numbers Homework & Practice 3.10

Look at the . Complete the addition sentences showing two ways to find the sum.

Question 1.
5 + 4 + 2 = __

Explanation:
The two addition sentences  to find the sum are

1.  5 + 6 = 11
2.  9 + 2 = 11

Problem Solving

Question 2.
Choose three numbers from 1 to 6. Write the numbers in an addition sentence. Show two ways to find the sum.

Question 3.
WRITE Math
Use pictures or words to explain how you can find the sum for 3 + 5 + 2.

3 + 5 + 2 = 10

+  + =

Lesson Check

Question 1.
What is the sum of 3 + 4 + 2? Write the sum.
__

Explanation:
The sum of 3 + 4 + 2 = 9
Therefore, sum = 9

Question 2.
What is the sum of 5 + 1 + 4? Write the sum.
__

Explanation:
The sum of 5 + 1 + 4 = 10
Therefore, sum = 10

Spiral Review

Question 3.
What is the sum of 3 and 7?

Explanation:
The sum of 3 and 7:
3 + 7 =10

Question 4.
4 cows are in the barn. 2 more cows join them. How many cows are in the barn now?

Complete the model and the number sentence.
__ cows 4 + 2 = __

Number sentence :
4 + 2 = 6
Therefore, the number of cows in the barn = 6

### Lesson 3.11 Algebra • Add 3 Numbers

Essential Question

Listen and Draw

Listen to the problem. Show two ways to group and add the numbers.

Math Talk
MATHEMATICAL PRACTICES

Apply Describe the two ways you grouped the numbers to add.

Share and Show MATH BOARD

Choose a strategy. Circle two addends to add first. Write the sum. Then find the total sum. Then use a different strategy and add again.

Question 1.

Two addends : 6 , 4
Sum : 6 + 4 = 10
Total sum : 6 + 4 + 2 = 12

Question 2.

Two addends : 3 , 4
Sum : 3 + 4 = 7
Total sum : 3 + 4 + 4 = 11

Question 3.

Two addends : 2 , 5
Sum : 2 + 5 = 7
Total sum : 2 + 5 + 0 = 7

Question 4.

Two addends : 5 , 5
Sum : 5 + 5 = 10
Total sum : 5 + 4 + 5 = 14

MATHEMATICAL PRACTICE
Use Repeated Reasoning Choose a strategy. Circle two addends to add first. Write the sum.

Question 5.

Two addends : 8 , 2
Sum : 8 + 2 + 2 =12

Question 6.

Sum : 6 + 0 + 8 = 14

Question 7.

Two addends : 3 , 4
Sum : 3 + 4 + 6 = 13

Question 8.

Two addends : 2 , 3
Sum : 2 + 3 + 7 = 12

Question 9.

Two addends : 7 , 7
Sum : 7 + 7 + 2 = 16

Question 10.

Two addends : 1 , 1
Sum : 1 + 9 + 1 = 11

Question 11.

Two addends : 4 , 4
Sum : 5 + 4 + 4 = 13

Question 12.

Two addends : 5 , 5
Sum: 5 + 5+ 5 = 15

Question 13.
THINK SMARTER
Susan has 7 shells. Kai has 3 shells. Zach has 5 shells. How many shells do they have?
__ + __ + __ + __ = __ shells

Explanation :
The number of shells Susan has = 7
The number of Shells Kai have = 3
The number of shells Zach have = 5
Total : 7 + 3 + 5 = 15
Therefore, the number of  shells they have = 7+3+5 = 15

THINK SMARTER

Question 14.

The possible addend be 0,8 ; 1,7; 2,6; 3,5; 4,4 ; 5,3 ; 6,2 ; 7,1 ; 8,0
The sum of the number sentence is 11

Question 15.

Possible addends are : 0,7; 1,6; 2,5; 3,4; 4,3; 5,2; 2,6; 1,7; 7,0.
The sum of number sentence = 10

Problem Solving • Applications

Draw a picture. Write the number sentence.

Question 16.
Maria has 3 cats. Jim has 2 cats. Cheryl has 5 cats. How many cats do they have?
__ + __ + __ = __ cats

Explanation:
The number of cats Maria have = 3
The number of cats Jim have = 2
The number of cats Cheryl have = 5
Total : 3 + 2 + 5= 10
Therefore, the total number of cats Maria have = 10

+ + =

Question 17.
Tony sees 5 small turtles. He sees 0 medium turtles. He sees 4 big turtles. How many turtles does he see?
__ + __ + __ = __ turtles

Explanation:
The number of small turtles = 5
The number of medium turtles = 0
The number of big turtles = 4
Total : 5 + 0 + 4 = 9
Therefore, the number of turtles tony have = 9

+ 0 + =

.

Question 18.
GO DEEPER
Kathy sees 13 fish in the tank. 6 fish are gold. The rest are blue or red. How many of each could she see?
__ + __ + 6 = 13 fish

The sum of  blue and red fish is 7
Total number of fishes in the tank = 13
Number of gold fishes = 6
Let, the number of blue fishes = 3
the number of red fishes = 4
Total red and blue fishes = 3 + 4 = 7
Number sentence : 3 + 4 + 6 = 14

+ + =

Question 19.
THINK SMARTER
Write two ways to group and add 2 + 3 + 4.

2 + 3 + 4 = 9

1. 6 + 3 = 9
2. 2 + 7 = 9

TAKE HOME ACTIVITY
• Have your child look at Exercise 18. Have your child tell you how he or she decided which numbers to use. Have him or her tell you two new numbers that would work.

### Algebra • Add 3 Numbers Homework & practice 3.11

Choose a strategy. Circle two addends to add first. Write the sum.

Question 1.

Sum : 7 + 3 + 3 = 13

Question 2.

Two addends : 2 , 2
Sum : 2 + 2+ 6 = 10

Question 3.

Two addends : 6 , 6
Sum : 6 + 6 +3 = 15

Question 4.

Two addends : 0 , 8
Total : 2 + 0 + 8 = 10

Problem Solving

Draw a picture. Write the number sentence.

Question 5.
Don has 4 black dogs. Tim has 3 small dogs. Sue has 3 big dogs. How many dogs do they have?
__ + __ + __ = __ dogs

Explanation :
The number of dogs Don have = 4
The number of dogs Tim have = 3
The number of dogs Sue have = 3
Total : 4 + 3 +3 = 10
Therefore, the number of dogs they have = 10

+ + =

Question 6.
WRITE Math
Use pictures or words to explain how you would find 6 + 4 + 4.

6 + 4 + 4 = 14

Lesson Check

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

4 + 4 + 2 = 10

Question 2.

_______________
_______________

7 + 3 = 10
Total sum : 7 + 3 + 2 = 12

Spiral Review

Question 3.
Write a doubles plus one fact for the sum of 7.
__ + __ = __

A doubles plus one fact for the sum of 7 :
3 + 4 = 7
3 + 3 + 1 = 7

Question 4.
What addition sentence does this model show? Write the number sentence.

__ + __ = __

Number sentence  :
8 + 3 = 11

### Lesson 3.12 Problem Solving • Use Addition Strategies

Essential Question
How do you solve addition word problems by drawing a picture?

Megan put 8 fish in the tank. Tess put in 2 more fish. Then Bob put in 3 more fish. How many fish are in the tank now?

Unlock the Problem

What do I need to find?

What information do I need to use?
Megan put in 8 fish.
Tess put in 2 fish.
Bob put in 3 fish.

Show how to solve the problem.

__ fish

Explanation :
Given,
Megan put in 8 fish.
Tess put in 2 fish.
Bob put in 3 fish.
Total : 8 + 2 + 3 = 13
Therefore, total number of fishes = 13

+ + =

HOME CONNECTION
• Your child will continue to use this chart throughout the year to help him or her unlock the problem. In this lesson, your child used the strategy draw a picture to solve problems.

Try Another Problem

Draw a picture to solve.

Question 1.
Mark has 9 green toy cars. He has 1 yellow toy car. He also has 5 blue toy cars. How many toy cars does he have?

Explanation :
The number of green toy cars = 9
The number of yellow toy cars = 1
The number of blue toy cars = 5
Total :
9 + 1 + 5 = 15
Therefore, the total number of toy cars he have now = 15

Math Talk
MATHEMATICAL PRACTICES
Reasoning Explain how using make a ten helps you solve the problem.

Share and Show MATH BOARD

MATHEMATICAL PRACTICE

Write an Equation Draw a picture to solve.

Question 2.
Ken put 5 marbles in a jar. Lou put in 0 marbles. Mae put in 5 marbles. How many marbles did they put in the jar?

Explanation :
The number of marbles Ken kept in a jar = 5
The number of Lou kept in a jar = 0
The number of marbles Mae kept in jar = 5
Total : 5 + 0 + 5 = 10 marbles
Therefore, there are 10 marbles in the jar.

Question 3.
Ava has 3 kites. Lexi has 3 kites. Fred has 5 kites. How many kites do they have?

Explanation :
The number of kites Ava have = 3
The number of kites Lexi have = 3
The number of kites Fred have = 5
Total : 3 + 3 + 5 = 11 Kites
Therefore, the number of kites they have = 11

Question 4.
Al got 8 books at the library. Ryan got 7 books. Dee got 1 book. How many books do they have?

Explanation :
The number of books Al got from library = 8
The number of books Ryan got from library = 7
The number of books Dee got from library = 1
Total : 8 + 7 + 1 = 16 books
Therefore, the number of books they have = 16

Question 5.
Pete sends 4 letters. Then he sends 3 more letters. Then he sends 2 more letters. How many letters did Pete send?

Explanation :
The number of letters Pete sends = 4
The number of letters he sends more = 3
Then also the number of letters he sends more = 2
Total : 4 + 3 + 2 = 9 letters
Therefore, the number of letters Pete sends = 9

Solve. Draw or write to show your work.

Question 6.
Kevin has 15 baseball cards. He gives away 8 baseball cards. How many baseball cards does he have?

__ baseball cards

Explanation :
Total number of basketball cards = 15
The number of cards he gives away = 8
Now, the number basketball he have now =
15 – 8 = 7
Therefore, the number of cars he have now = 7

Question 7.
There are 14 pencils. Haley has 6 pencils. Mac has 4 pencils. Sid has some pencils. How many pencils does Sid have?

___ pencils

Explanation :
Total number of pencils = 14
The number of pencils Haley have = 6
The number of pencils Mac have = 4
Total : 6 + 4 = 10
The number of pencils Sid have = 14 – 10 = 4
Therefore, Sid have 4 pencils.

Question 8.
GO DEEPER
12 marbles are in a bag. Shelly takes 3 marbles. Dan puts in 4. How many marbles are in the bag now?
__ marbles

Explanation :
The total number of marbles in a bag = 12
The number of marbles Shelly takes out =
1 2 – 3 = 9
The number of marbles Dan puts in = 4
9 + 4 = 13
Therefore, total number of marbles in the bag = 13

Question 9.
THINK SMARTER
Eric has 4 pencils. Sandy gives Eric 3 pencils. Tracy gives Eric 5 more pencils. How many pencils does Eric have in all?
Eric has ☐ pencils in all.

Explanation :
The number of pencils Eric have = 4
The umber of pencils Sandy gives Eric  = 3
The number of pencils Tracy gives Eric  = 5
Total : 4 + 3 + 5 = 12
Therefore, the total number pencils Eric have = 12.

TAKE HOME ACTIVITY
• Ask your child to look at Exercise 8 and tell how he or she found the answer.

### Problem Solving • Use Addition Strategies Homework & Practice 3.12

Draw a picture to solve.

Question 1.
Franco has 5 crayons. He gets 8 more crayons. Then he gets 2 more crayons. How many crayons does he have now?

Explanation :
The number of crayons Franco have = 5
The number of crayons he gets more = 8
The number of crayons he gets more = 2
Total number of crayons = 5 + 8 + 2 = 15
Therefore, the number of crayons he have now = 15

Question 2.
Jackson has 6 blocks. He gets 5 more blocks. Then he gets 3 more blocks. How many blocks does he have now?

Explanation:
The number of blocks Jackson have = 6
The number of blocks Jackson gets more = 5 + 3 = 8
Total : 6 + 8 = 14
Therefore, Jackson have 14 blocks.

Question 3.
Ava has 7 gifts. Then he gets 2 more gifts. Then he gets 3 more gifts. How many gifts does Ava have now?

Explanation :
The number of gifts Ava have = 7
The number of gifts Ava gets more = 2 + 3 = 5
Total : 7 + 5 = 12

Question 4.
WRITE Math
Draw a picture to show how you would solve this problem.
Jeb has 4 large rocks. He has 4 medium rocks. He has 7 small rocks. How many rocks does Jeb have?

Explanation :
The number of large rocks Jeb have = 4
The number of medium rocks Jeb have = 4
The number of small rocks Jeb have = 7
Total : 4 + 4 + 7 = 15
Therefore, Jeb have 15 rocks.

Lesson Check

Question 1.
Lila has 3 gray stones. She has 4 black stones. She also has 7 white stones. How many stones does she have? Write the number sentence.

The total number of stones = 14
Number sentence: 3 + 4 + 7 = 14

Explanation :
The number of gray stones = 3
The number of black stones = 4
The number of white stones = 7
Total :
3 + 4 + 7 = 14

Question 2.
Patrick has 3 red stickers, 6 pink stickers, and 8 green stickers. How many stickers does Patrick have? Write the number sentence.

The Total number of stickers = 17
Number sentence: 3 + 6 + 8 = 17

Explanation:
The number of red stickers = 3
The number of pink stickers = 6
The number of green stickers = 8
Total: 3 + 6 + 8 = 17

Spiral Review

Question 3.
What is the sum of 2 + 4 or 4 + 2? Write the number.
____

Explanation:
The sum of of 2+4 or 4+2 = 6

Question 4.
There are 6 black pens. There are 3 blue pens. How many pens are there? Write the number.

The total number of pens = 9
Number sentence : 6 + 3 =9

Explanation:
The number of black pens = 6
The number of blue pens = 3
Total : 6 + 3 = 9

### Addition Strategies Chapter 3 Review/Test

Question 1.
Write the addends in a different order.
5 + 4 = 9
__ + __ = __

4 + 5 = 9

Question 2.
Count on from 4. Write the number that shows 1 more.
__

Question 3.
The cubes show a doubles fact. Choose the doubles fact and the sum.

The addition sentence with doubles fact :
5 + 5 = 10
Therefore, The sum of cubes = 10

Question 4.
THINK SMARTER
There are 3 red leaves. There are 4 yellow leaves. How many leaves in all? Use a double to add. Write the missing numbers.

3 + 4 = 3 + 3 +1
So, 3 + 4 = 7

Question 5.
Choose all the doubles facts that can help you solve 8 + 7.

1.   7 + 7 = 14
2.   8 + 8 = 14

Question 6.
GO DEEPER
Write a count on 2 fact to show a sum of 10. Then write a doubles fact to show a sum of 10.

Addition sentence on 2 fact to show a sum of 10
8 + 2 = 10
Addition sentence with doubles fact to show a sum of 10.
5 + 5 = 10

Question 7.
Match the models to the number sentences.

Question 8.
The model shows 8 + 5 = 13.
Write the 10 fact that has the same sum.

Answer: 10 + 3 = 13

Explanation:
Given,
The model shows 8 + 5 = 13.
Addition sentence with 10 fact that has same sum =
10 + 3 = 13

Question 9.
Does the addition show how to make a ten to add? Choose Yes or No.

1.  7 + 3 + 2 –  Yes
2.   7 + 5 +5  –  Yes
3.  5 + 4 + 7 –   No

Question 10.
Look at the . Complete the addition sentence to show the sum. Choose the missing number and the sum.

2 + 3 + 4 = 9

Explanation :
The number of red cubes  = 2
The number of blue cubes = 3
The number of yellow cubes = 3
2 + 3 + 4 = 9
Total sum of cubes = 9

Question 11.
Write two ways to group and add 4 + 2 + 5.
__ + __ = __
__ + __ = __

4 + 2 + 5 = 11
The two ways are:
6 + 5 = 11
8 + 3 = 11

Question 12.
Beth sees 4 red birds. She sees 2 yellow birds. She sees 4 blue birds. Draw a picture of the birds.