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## Big Ideas Math Book 1st Grade Answer Key Chapter 4 Add Numbers within 20

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**Vocabulary**

**Lesson: 1 Add Doubles from 6 to 10**

**Lesson: 2 Use Doubles within 20**

**Lesson: 3 Count on to Add within 20**

**Lesson 4: Add Three Numbers**

**Lesson 5 Add Three Numbers by Making a 10**

**Lesson: 6 Add 9**

**Lesson 7 Make a 10 to Add**

**Lesson: 8 Problem Solving: Addition within 20**

**Performance Task**

- Add Numbers within 20 Performance Task
- Add Numbers within 20 Chapter Practice
- Use Doubles within 20 Homework & Practice 4.2
- Count on to Add within 20 Homework & Practice 4.3
- Add Three Numbers Homework & Practice 4.4
- Add Three Numbers by Making a 10 Homework & Practice 4.5
- Add 9 Homework & Practice 4.6
- Make a 10 to Add Homework & Practice 4.7
- Problem Solving: Addition within 20 Homework & Practice 4.8

### Add Numbers within 20 Vocabulary

**Organize It**

Review Words:

addend

doubles

doubles minus 1

doubles plus 1

sum

Use the review words to complete the graphic organizer.

Answer:

Explanation:

By Looking at graphic organizer

1. Here we have 2 blocks and in second block we have one more added,

so we write the review words as doubles plus 1.

2. Here we have only two block so we write the review words as doubles.

3. Here also we have 2 blocks, but in second block on one dot it is crossed,

so we write the review words as doubles minus 1.

**Define It**

Match the review word to its definition.

Answer:

Explanation:

Addend means any of the numbers that are added together.

Sum can be defined as the result or answer we get on adding two or more numbers or terms.

Here 1. 5 + 3 = 8 numbers 5, 3 are addends and 8 is sum

2. 4 + 3 = 7 number 4,3 are addends and 7 is sum.

### Lesson 4.1 Add Doubles from 6 to 10

**Explore and Grow**

Use counters to model the story.

You have 7 marbles. Your friend has 7 marbles. How many marbles are there in all?

Answer:

In all, there are total of 14 marbles.

Explanation:

Given I have 7 marbles and my friend has 7 marbles,

The total number of marbles available are ( my marbles and friend’s marble),

7 + 7 = 14 marbles. So 14 marbles are there in all.

**Show and Grow**

Question 1.

___8____ + ___8___ = __16_____

Answer:

8 + 8 = 16 dots

Explanation:

Given in block 1 we have 8 dots and in block 2 we have 8 dots,

So in total we have 8 + 8 = 16 dots.

Question 2.

____7___ + __7____ = ___14____

Answer:

7 + 7 = 14 dots

Explanation:

Given in block 1 we have 7 dots and in block 2 we have 7 dots,

So in total we have 7 + 7 = 14 dots.

Question 3.

=

Answer:

9 + 9 = 18 dots

Explanation:

Given in block 1 we have 9 dots and in block 2 we have 9 dots,

So in total we have 9 + 9 = 18 dots.

Question 4.

Answer:

10 + 10 = 20 dots

Explanation:

Given in block 1 we have 10 dots and in block 2 we have 10 dots,

So in total we have 10 + 10 = 20 dots.

Question 5.

____8___ + _8_____ = _______

Answer:

8 + 8 = 16 dots

Explanation:

Given in block 1 we have 8 dots and in block 2 we have 8 dots,

So in total we have 8 + 8 = 16 dots.

Question 6.

___6____ + __6___ = ___12____

Answer:

6 + 6 = 12 dots

Explanation:

Given in block 1 we have 6 dots and in block 2 we have 6 dots,

So in total we have 6 + 6 = 12 dots.

Question 7.

7 + 7 = ___14____

Answer:

7 + 7 = 14 dots

Explanation:

Given first number is 7 and second number is 7,

So in total we have 7 + 7 = 14 dots.

Question 8.

10 + 10 = ___20_____

Answer:

10 + 10 = 20

Explanation:

Given first number is 10 and second number is 10,

So in total we have 10 + 10 = 20.

Question 9.

Answer:

Explanation:

Given first number as 9 and second number as 9,

So in total we have 9 + 9 = 18.

Question 10.

Answer:

Explanation:

Given first number as 8 and second number as 8,

So in total we have 8 + 8 = 16.

Question 11.

**MP Reasoning**

You and your friend each read 6 books. How many books do you and your friend read in all?

____12______ books

Answer:

Total number of books I and my friend read are 12.

Explanation:

Given I and my friend each read 6 books, that means I read 6 books,

my friend read 6 books, So in total we read 6 + 6 = 12.

**Think and Grow: Modeling Real Life**

You and your friend have the same number of video games. There are 16 in all. How many video games do you have?

Draw a Picture:

Addition equation: X + X = 16,

___8_______ video games

Answer:

I have 8 number of video games.

Explanation:

Given I and my friend have same number of video games,

So in all both have 16 video games , Let us take I have X number of video games,

means friend will also have X number of video games,

Now addition equation is X + X = 16, 2 X = 16 , So X = 16 ÷ 2 = 8,

So I have 8 video games.

**Show and Grow**

Question 12.

2 friends give you the same number of pictures. You have 12 in all. How many pictures does each friend give you?

Draw a Picture:

Addition equation:

X + X = 12,

____6______ pictures

Answer:

Each friend gives 6 pictures to me.

Explanation:

Given 2 friends gave me same number of pictures,

So in all both gave 12 pictures , Let us take each gave X number of pictures,

So we write addition equation as X + X = 12, 2 X = 12 , So X = 12 ÷ 2 = 6,

So each friend gave me 6 number of pictures.

### Add Doubles from 6 to 10 Practice 4.1

Question 1.

____10______ + ____10______ = ___20______

Answer:

10 + 10 = 20 dots

Explanation:

Given in block 1 we have 10 dots and in block 2 we have 10 dots,

So in total we have 10 + 10 = 20 dots.

Question 2.

_____6_____ + ____6______ = ____12_____

Answer:

6 + 6 = 12 dots

Explanation:

Given in block 1 we have 6 dots and in block 2 we have 6 dots,

So in total we have 6 + 6 = 12 dots.

Question 3.

Answer:

Explanation:

Given first number as 9 and second number as 9,

So in total we have 9 + 9 = 18.

Question 4.

Answer:

Explanation:

Given first number as 10 and second number as 10,

So in total we have 10 + 10 = 20.

Question 5.

**MP Reasoning**

You and your friend each do 7 jumping jacks. How many jumping jacks do you and your friend do in all?

____14______ jumping jacks

Answer:

14 jumping jacks I and my friend do in all .

Explanation:

Given I and my friend each do 7 jumping jacks,

means I did 7 jumping jacks, My friend did 7 jumping jacks,

So both overall did 7 + 7 = 14 jumping jacks.

Question 6.

**Modeling Real Life**

Newton and Descartes each have the same number of treats. They have 18 treats in all.

How many treats does Newton have?

____9______ treats

Answer:

Newton have 9 treats.

Explanation:

Given Newton and Descartes each have the same number of treats,

Suppose if Newton have X treats means Descartes have same X treats

and in all both have 18 treats, So X + X = 18 , 2X = 18 , X = 18 ÷ 2 = 9,

So Newton has 9 treats.

**Review & Refresh**

Use the picture to write an equation.

Question 7.

____3______ + ____2_____ = ____5_____

Answer:

3 + 2 = 5

Explanation:

By seeing the picture there are 3 children sitting and reading books on the chair and

2 children are having bags and going to school, So we write the equation as

3 + 2 = 5.

Question 8.

___5_______ + ____1_____ = ____6_____

Answer:

5 + 1 = 6

Explanation:

By seeing the picture there are 5 children sitting on the ground and reading books,

1 child having book is waving hand, So we write the equation as

5 + 1 = 6.

### Lesson 4.2 Use Doubles within 20

**Explore and Grow**

Use counters to model the story.

You collect 8 leaves. Your friend collects 8 leaves. How many leaves are there in all?

____16_____ leaves

Explanation:

Both I and friend collect same leaves ,

8 + 8 = 16 leaves we call the sum as doubles as both addends are 8.

You collect 1 more leaf. How many leaves are there now?

_____17_____ leaves

Explanation:

We got doubles as 16, Now the required sum is one more than doubles,

That is 17,Therefore 8+8+1= 17 so we call as double plus 1.

**Show and Grow**

Question 1.

Use the double 6 + 6 to find each sum.

6 + 7 = ___13____

Answer:

6 + 7= 13

Explanation:

We Know the double 6 + 6 = 12 , The number 7 is one more than 6,

So we can write 7 as 6 + 1, The required sum is one more than double,

12 + 1 =13, Sum is 13, therefore 6 + 7 = 13, Double plus 1.

6 + 5 = ___11____

Answer:

6+5 = 11

Explanation:

We Know the double of 6 + 6 = 12 , The number 5 is one less than 6,

So we can write 5 as 6 – 1, The required sum is one less than double,

12 – 1 = 11, Sum is 11, therefore 6 + 5 = 11, Double minus 1.

**Apply and Grow: Practice**

Use the double 7 + 7 to find each sum.

Question 2.

7 + 8 = ___15_____

Answer:

7 + 8 = 15

Explanation:

We know the double of 7 + 7 = 14 , The number 8 is one more than 7,

So we can write 8 as 7 + 1, The required sum is one more than double,

14 + 1 =15, Sum is 15, therefore 7 + 8 = 15, Double plus 1.

7 + 6 = ____13_____

Answer:

7 + 6 = 13

Explanation:

We know the double of 7+ 7 = 14 , The number 6 is one less than 7,

So we can write 6 as 7 – 1, The required sum is one less than double,

14 – 1 = 13, Sum is 13, therefore 7 + 6 = 13, Double minus 1.

Find the sum. Write the double you used.

Question 3.

5 + 6 = ___11______

___5_+5__+_ ○ ___1___ = ___11____

Answer:

5 + 6 = 11, we use double 5 + 5,

Explanation:

As the first addend is 5 and we know the double is 5 + 5 ,

So 5 + 5 = 10 , The number 6 is one more than 5,

So we can write 6 as 5 + 1, The required sum is one more than double,

10 + 1 =11, Sum is 11, therefore 5 + 6 = 11, Double plus 1.

We use double 5 + 5.

Question 4.

9 + 8 = ___17______

___9+9 -____ ○ ___1____ = __17_____

Answer:

9 + 8 = 17, we use double 9 + 9 ,

Explanation:

As the first addend is 9 and we know the double is 9 + 9,

9 + 9 = 18 , The number 8 is one less than 9,

So we can write 8 as 9 – 1, The required sum is one less than double,

18 – 1 = 17, Sum is 17, therefore 9 + 8 = 17, Double minus 1.

We use double 9 + 9

Question 5.

**DIG DEEPER!**

Circle two ways you can solve 9 + 10. Show how you know.

9 + 9 and 1 more

9 + 9 and 1 less

10 – 10 and 1 more

10 + 10 and 1 less

Answer:

To solve 9 + 10 the two ways which we can solve are

9 + 9 and 1 more and other is 10 + 10 and 1 less.

Explanation:

We know 9 + 10 = 19 now we will see which way we can solve,

1. 9 + 9 and 1 more means , it is 18 + 1 which is equal to 19,

Similar to 9 + 10 = 19 , therefore we can solve with 9 + 9 and 1 more .

2. 9 + 9 and 1 less means it is 18 – 1 which is 17,

As 17 is not equal to 9 + 10 = 19, So 9 + 9 and 1 less way we will not solve 9 + 10 .

3. 10 – 10 and 1 more means 0 + 1 = 1 , here this is not equal to 9 + 10,

So by 10 – 10 and 1 more way we will not solve for 9 + 10.

4. 10 + 10 and 1 less means 10 + 9 = 19 which is equal to 9 + 10 ,

So 10 + 10 and 1 less way we will solve 9 + 10.

Therefore to solve 9 + 10 the two ways which we can solve are

9 + 9 and 1 more and other is 10 + 10 and 1 less.

**Think and Grow: Modeling Real Life**

A music room has 7 keyboards. There is 1 more recorder than keyboards. How many instruments are there?

Which doubles can you use to find the sum?

7 + 7 8 + 8 6 + 6

Equation:

__15_____ instruments

Answer:

There are 15 instruments in the music room.

We use doubles 7 + 7 to find the sum 7 + 8 = 15.

Explanation:

Given a music room has 7 keyboards and there are 1 more recorder than keyboards,

means number of recorders are 7 + 1 = 8, so total number of instruments in room are

7+ 8 = 7 + 7 + 1 = 15, Here we have used doubles 7 + 7.

Therefore to find the sum we use doubles 7 + 7 and the sum is 7 + 8 = 15.

**Show and Grow**

Question 6.

A museum has lo paintings. There is 1 fewer sculpture than paintings. How many art pieces are there?

Which doubles can you use to find the sum?

8 + 8 9 + 9 10 + 10

Equation:

____19______ art pieces

Answer:

There are 19 art pieces, We use doubles 10 + 10 to find the sum 10 + 9 = 19.

Explanation:

Given a museum has 10 paintings and there is 1 fewer sculpture than paintings,

means number of sculptures are one less than paintings 10 – 1 = 9,

So total number of art pieces are 10 + 9 = 10 + 10 – 1 = 19,

Here we have used doubles 10 + 10.

Therefore to find the sum we use doubles 10 + 10 and the sum is 10 + 9 = 19.

### Use Doubles within 20 Practice 4.2

Question 1.

9 + 10 = ____19____

Answer:

9 + 10 = 19, We use double 9 + 9

Explanation:

As the first addend is 9 and we know the double is 9 + 9 ,

So 9 + 9 = 18 , The number 10 is one more than 9,

So we can write 10 as 9 + 1, The required sum is one more than double,

18 + 1 =19, Sum is 19, therefore 9 + 10 = 19, Double plus 1.

Here we have use double 9 + 9

9 + 8 = ____17____

Answer:

9 + 8 = 17, We use double 9 + 9

Explanation:

As the first addend is 9 and we know the double is 9 + 9,

9 + 9 = 18 , The number 8 is one less than 9,

So we can write 8 as 9 – 1, The required sum is one less than double,

18 – 1 = 17, Sum is 17, therefore 9 + 8 = 17, Double minus 1.

We have use double 9 + 9

Find the sum. Write the double you used.

Question 2.

10 + 9 = ____19_____

____10+10___ -○ ___1____ = __19_____

Answer:

10 + 9 = 19, we use double 10 + 10,

Explanation:

As the first addend is 10 and we know the double is 10 + 10,

10 + 10 = 20 , The number 9 is one less than 10,

So we can write 9 as 10 – 1, The required sum is one less than double,

20 – 1 = 19, Sum is 19, therefore 10 + 9 = 17, Double minus 1.

We have use double 10 + 10 .

Question 3.

7 + 8 = ____15_____

_7_+ 7_+____ ○ __1_____ = ___15___

Answer:

7 + 8 = 15, We use double 7 + 7

Explanation:

As the first addend is 7 and we know the double is 7 +7 ,

So 7 + 7 = 14 , The number 8 is one more than 7,

So we can write 8 as 7 + 1, The required sum is one more than double,

14 + 1 =15, Sum is 15, therefore 7 + 8 = 15, Double plus 1.

We use double 7 + 7.

Question 4.

**DIG DEEPER!**

Circle two ways you can solve 8 + 9. Show how you know.

8 + 8 and 1 more

8 + 8 and 1 less

9 + 9 and 1 more

9 + 9 and 1 less

Answer:

To solve 8 + 9 the two ways which we can solve are

8 + 8 and 1 more and other is 9 + 9 and 1 less.

Explanation:

We know 8 + 9 = 17 now we will see which way we can solve,

1. 8 + 8 and 1 more means , it is 16 + 1 which is equal to 17,

Similar to 8 + 9 = 17 , therefore we can solve with 8 + 8 and 1 more .

2. 8 + 8 and 1 less means it is 16 – 1 which is 15,

As 15 is not equal to 8 + 9 = 17, So 8 + 8 and 1 less way we will not solve 8 + 9 .

3. 9 + 9 and 1 more means 18 + 1 = 19 , here this is not equal to 17,

So by 9 + 9 and 1 more way we will not solve for 8 + 9.

4. 9 + 9 and 1 less means 18 -1 = 17 which is equal to sum of 8 + 9 ,

So 9 + 9 and 1 less way we will solve 8 + 9.

Therefore to solve 8 + 9 the two ways which we can solve are

8 + 8 and 1 more and other is 9 + 9 and 1 less.

Question 5.

**Modeling Real Life**

There are 6 balls. There is 1 more toy hoop than balls. How many toys are there?

Which doubles can you use to find the sum?

7 + 7 8 + 8 6 + 6

___13_____ toys

Answer:

There are 13 toys in total,

We use doubles 6 + 6 to find the sum 6 + 7 = 13.

Explanation:

Given there are 6 balls and there is 1 more toy hoop than balls means

number of toy hoops = 6 + 1 = 7, so total number of toys are

6+ 7 = 6+ 6 + 1 = 13, Here we have used doubles 6 + 6.

Therefore to find the sum we use doubles 6 + 6 and the sum is 6 + 7 = 13.

**Review & Refresh**

Use the picture to write an equation.

Question 6.

____7____ – ___1____ = ____6____

Answer:

Equation is 7 – 1 = 6

Explanation:

By seeing the picture there are total 7 children in the picture,

6 children are sitting and reading books and one boy with bag on shoulder’s is

walking away from other children, So we write the equation as 7 -1 = 6.

Question 7.

____5____ – ___1____ = ___4_____

Answer:

Equation is 5 – 1 = 4

Explanation:

By seeing the picture there are total 5 children ,

in them four are sitting and playing with toy,

one boy is walking away from others,

So we write the equation as 5 – 1 =4.

### Lesson 4.3 Count on to Add within 20

**Explore and Grow**

Model the story.

There are 8 coins in a piggy bank. You put in 5 more. How many coins are in the bank now?

Answer:

There are 13 coins in the piggy bank.

Explanation:

Given there are 8 coins in a piggy bank and I have put 5 more means,

we start from 8 and move 5 units from 8 on number line we get 13, 8 + 5 = 13,

There are total 13 coins in the piggy bank.

**Show and Grow**

Question 1.

8 + 4 = _____12_____

Answer:

8 + 4 = 12

Explanation:

First we start from 8 and move 4 units we get 12 on the number line,

So sum is 8 + 4 = 12 .

Question 2.

5 + 10 = ___15______

Answer:

5 + 10 = 15

Explanation:

First we start from 5 and move 10 units we get 15 on the number line,

So sum is 5 + 10 = 15 .

**Apply and Grow: Practice**

Question 3.

6 + 8 = _____14_____

Answer:

6 + 8 = 14

Explanation:

First we start from 6 and move 8 units we get 14 on the number line,

So sum is 6 + 8 = 14 .

Question 4.

12 + 5 = __17______

Answer:

12 + 5 = 17

Explanation:

First we start from 12 and move 5 units we get 17 on the number line,

So sum is 12 + 5 = 17 .

Question 5.

7 + 8 = ___15______

Answer:

7 + 8 = 15

Explanation:

First we start from 7 and move 8 units we get 15 on the number line,

So sum is 7 + 8 = 15 .

Question 6.

10 + 9 = ___19_____

Answer:

10 + 9 = 19

Explanation:

First we start from 10 and move 9 units we get 19 on the number line,

So sum is 10 + 9 = 19 .

Question 7.

____11___ = 0 + 11

Answer:

11 = 0 + 11 or 0 + 11 = 11

Explanation:

First we start from 0 and move 11 units we get 11 on the number line,

So sum is 11= 0 + 11 or 0 + 11 = 11.

Question 8.

___13_____ = 4 + 9

Answer:

13 = 4 + 9

Explanation:

First we start from 4 and move 9 units we get 13 on the number line,

So sum is 13= 4 + 9 or 4 + 9 = 13.

Question 9.

**MP Structure**

Write the equation shown by the number line. Then write the equation another way.

Answer:

7 + 4 = 11 or 4 + 7 = 11 or 11 = 7 + 4

Explanation:

As shown in the number line we are starting from 7

and moving 4 units we get 11,

So the equation is 7 + 4 = 11, we can also write the equation as 4 + 7 =11,

there is no change in the value of sum.

We get sum 11 if we add 7 and 4.

**Think and Grow: Modeling Real Life**

You have 7 train cars. Newton has 5 more than you. Descartes has 4 more than you. Who has more train cars, Newton or Descartes?

Model:

Equations:

Newton Descartes

7 + 5 = 12 7 + 4 = 11

Who has more? Newton Descartes

Newton has more trains.

Explanation:

Given I have 7 trains, Newton has 5 more than you,

So the equation is 7 + 5 = 12, Newton has 12 trains,

and Descartes has 4 more than me , the equation is

7 + 4 = 11, Descartes has 11 trains. Now we compare with

Newton and Descartes so in between 12 and 11 we compare,

as 12 is more or greater than 11, means Newton has more trains = 12.

**Show and Grow**

Question 10.

You have 6 comic books. Newton has 5 more than you. Descartes has 6 more than you. Who has more comic books, Newton or Descartes?

Model:

Equations:

Newton Descartes

6 + 5 = 11 6 + 6 = 12

Who has more? Newton Descartes

Descartes has more comic books.

Explanation:

Given I have 6 comic books , Newton has 5 more than you,

So the equation is 6 + 5 = 11, Newton has 11 comic books,

and Descartes has 6 more than me , the equation is

6 + 6 = 12, Descartes has 12 comic books. Now we compare with

Newton and Descartes so in between 11 and 12 we compare,

as 12 is more or greater than 11, means Descartes has more comic books = 12.

### Count on to Add within 20 Practice 4.3

Question 1.

10 + 7 = ___17_______

Answer:

10 + 7 = 17

Explanation:

First we start from 10 and move 7 units we get 17 on the number line,

So sum is 10 + 7 = 17.

Question 2.

8 + 9 = ____17_____

Answer:

8 + 9 = 17

Explanation:

First we start from 8 and move 9 units we get 17 on the number line,

So sum is 10 + 7 = 17.

Question 3.

_____15_____ = 6 + 9

Answer:

6 + 9 = 15 or 15 = 6 + 9

Explanation:

First we start from 6 and move 9 units we get 15 on the number line,

So sum is 6 + 9 = 15 or 15 = 6 + 9.

Question 4.

______16_____ = 12 + 4

Answer:

16= 12 + 4 or 12 + 4 = 16

Explanation:

First we start from 12 and move 4 units we get 16 on the number line,

So sum is 12 + 4 = 16 or 16 = 12 + 4.

Question 5.

**MP Structure**

Write the equation shown by the number line. Then write the equation another way.

Answer:

5 + 8 = 13 or 8 + 5 = 13 or 13 = 5 + 8

Explanation:

As shown in the number line we are starting from 5

and moving 8 units we get 13,

So the equation is 5 + 8 = 13, we can also write the equation as 8 + 5 =13,

there is no change in the value of sum.

We get sum 13 if we add 5 and 8.

Question 6.

**Modeling Real Life**

You have 11 toys. Newton has 3 more than you. Descartes has 6 more than you. Who has more toys, Newton or Descartes?

Answer:

Equations: Newton Descartes

11 + 3 = 14 11 + 6 = 17

Descartes has more toys than Newton

Explanation:

Given I have 11 toys , Newton has 3 more than you,

So the equation is 11 + 3 = 14, Newton has 14 toys,

and Descartes has 6 more than me , the equation is

11 + 6 = 17, Descartes has 17 toys. Now we compare with

Newton and Descartes so in between 14 and 17 toys if we compare

we get 17 is more or greater than 14, means Descartes has more toys = 17.

**Review & Refresh**

Question 7.

Circle the triangle. Draw a rectangle around the hexagon.

Answer:

Explanation:

We know triangle means a closed, two-dimensional shape with three straight sides.

In shapes given in figure we have triangle in green so we will circle it,

and we know hexagon can be defined as a polygon with six sides.

In shapes given in the figure we have hexagon in yellow,

So we draw a rectangle around the hexagon.

Question 8.

Circle the cube. Draw a rectangle around the sphere.

Answer:

Explanation:

Cube means a symmetrical three-dimensional shape,

either solid or hollow, contained by six equal squares,

In figure we have cube in purple so we circle the cube.

Sphere means a round solid figure, or its surface,

with every point on its surface equidistant from its center.

In the shapes given in figure we have sphere in yellow,

So we draw a rectangle around hexagon.

### Lesson 4.4 Add Three Numbers

**Explore and Grow**

Use linking cubes to model the story.

You have 5 red pencils, 4 yellow pencils, and 3 blue pencils. How many pencils do you have in all?

Answer:

Explanation:

Given 5 red pencils , 4 yellow pencils and 3 blue pencils,

a. Now by using linking the cubes first we link with 5 red and 4 yellow pencils

we get 5 + 4 = 9 pencils now we link with 3 blue pencils 9 + 3 = 12 pencils.

b. Now by using linking the cubes first we link with 4 yellow pencils and 3 blue pencils

we get 4 + 3 = 7 pencils now we link with 5 red pencils 7 + 5 = 12 pencils.

c. Now by using linking the cubes first we link with 5 red and 3 blue pencils

we get 5 + 3 = 8 pencils now we link with 4 yellow pencils 8 + 4 = 12 pencils.

In all we have 12 pencils.

**Show and Grow**

Question 1.

Answer:

Explanation:

By using linking the cubes

a. First we add 2 + 5 = 7 and now we add 7+ 6 we get 13.

b. Here we add 5 + 6 =11, now we add 11 + 2 =13

c. Now here we add first 2 with 6 we get 8 to 8 we add 5

we will get 8 + 5 = 13, So we get sum as 13.

Question 2.

Answer:

Explanation:

By using linking the cubes

a. First we add 4 + 4 = 8 and now we add 8+ 3 we get 11.

b. Here we add 3 + 4 =7, now we add 7 + 4 =11

c. Now here we add first 4 with 3 we get 7 to 7 we add 4

we will get 7 + 4 = 11, So we get sum as 11.

**Apply and Grow: Practice**

Question 3.

Answer:

Explanation:

By using linking the cubes

a. First we add 3 + 3 = 6 and now we add 6+ 5 we get 11.

b. Here we add 3 + 5 =8, now we add 8 + 3 =11

c. Now here we add first 5 with 3 we get 8 to 8 we add 3

we will get 8 + 3 = 11, So we get sum as 11.

Question 4.

Answer:

Explanation:

By using linking the cubes

a. First we add 3 + 1 = 4 and now we add 4+ 2 we get 6.

b. Here we add 1 + 2 =3, now we add 3 + 3 =6,

c. Now here we add first 3 with 2 we get 5 to 5 we add 1

we will get 5 + 1 = 6, So we get sum as 6.

Question 5.

Answer:

Explanation:

By using linking the cubes

a. First we add 7 + 5 = 12 and now we add 12+ 5 we get 17.

b. Here we add 5 + 5 =10, now we add 10 + 7 = 17,

c. Now here we add first 7 with 5 we get 12 to 12 we add 5

we will get 12 + 5 = 17, So we get sum as 17.

Question 6.

Answer:

Explanation:

By using linking the cubes

a. First we add 4 + 5 = 9 and now we add 9 + 2 we get 11.

b. Here we add 5 + 2 = 7, now we add 7 + 4 = 11,

c. Now here we add first 4 with 2 we get 6 to 6 we add 5

we will get 6 + 5 = 11, So we get sum as 11.

Question 7.

7 + 8 + 1 = _________

Answer:

7 + 8 +1 = 16

Explanation:

By using linking the cubes

a. First we add 7 + 1 = 8 and now we add 8 + 8 we get 16.

b. Here we add 7 + 8 = 15, now we add 15 + 1 = 16,

c. Now here we add first 8 with 1 we get 9 to 9 we add 7

we will get 9 + 7 = 16, So we get sum as 16.

Question 8.

8 + 6 + 2 = _________

Answer:

8 + 6 + 2 = 16

Explanation:

By using linking the cubes

a. First we add 8 + 2 = 10 and now we add 10 + 6 we get 16.

b. Here we add 8 + 6 = 14, now we add 14 + 2 = 16,

c. Now here we add first 6 with 2 we get 8 to 8 we add

8 we will get 8 + 8 = 16, So we get sum as 16.

Question 9.

4 + 9 + 4 = __________

Answer:

4 + 9 + 4 = 17

Explanation:

By using linking the cubes

a. First we add 4 + 4 = 8 and now we add 8 + 9 we get 17.

b. Here we add 4 + 9 = 13, now we add 13 + 4 = 17,

c. Now here we add first 9 with 4 we get 13 to 13 we add 4

we will get 13 + 4 = 17, So we get sum as 17.

Question 10.

**DIG DEEPER**

Complete the number puzzle so that each branch has a sum of 14.

Answer:

Explanation:

Let us take the missing number as X, Y Z, P

We take 6 + 1 + ___X___ = 14 , means X = 7 + X = 14,

therefore X = 14 – 7 = 7, So 6 + 1 + 7 = 14,

Next Y, 5 + Y + 6 = 14 , 11 + Y = 14 , Y = 14 -11,

We get Y = 3,Making 5 + 3 + 6 = 14

Now Z, 6 + 7 + Z = 14, 13 + Z = 14, Z = 14 – 13,

Z = 1 Making 6 + 7 + 1 = 14

Now P, 4 + P + 3 = 14, 7 + P = 14 ,P = 14 – 7,

We get P = 7 making 4 + 7 + 3 = 14.

**Think and Grow: Modeling Real Life**

You have 6 goldfish, 7 minnows, and 6 guppies. Will the tank hold all of your fish?

Equation:

Show how you know:

Answer:

Explanation:

Given I have 6 goldfish, 7 minnows and 6 guppies, Total Number of

Fishes with me are 6 + 7 + 6 = 19 , No the tank can not hold

all of fishes as given in the figure a tank can hold 15 Fish and

I have 19 which are more than 15 ,

No, it is not possible for the tank to hold 19 Fish.

**Show and Grow**

Question 11.

You have 2 lovebirds, 4 canaries, and 3 finches. Will the cage hold all of your birds?

Equation:

Show how you know:

Answer:

Explanation:

Given I have 2 lovebirds, 4 canaries, and 3 finches ,

Total Number of birds I have are 2 + 4 + 3 = 9,

Now as shown in the picture a cage can holds 10 birds,

We have total 9 birds which is less than 10 means,

Yes, the cage can hold all of my birds .

### Add Three Numbers Practice 4.4

Question 1.

Answer:

Explanation:

By using linking the cubes

a. First we add 2 + 2 = 4 and now we add 6 + 4 we will get 10.

b. Here we add first 6 + 2 = 8, now we add 8 + 2 = 10,

c. Now here we add 6 with 2 we get 8 to 8 we add 2,

we will get 8 + 2 = 10, So we get sum as 10.

Question 2.

Answer:

Question 3.

Answer:

Explanation:

By using linking the cubes

a. First we add 8 + 7 = 15 and now we add 15 + 4 we will get 19.

b. Here we add first 7 + 4 = 11, now we add 8 + 11 = 19,

c. Now here we add 8 with 4 we get 12 to 12 we add 7,

we will get 12 + 7 = 19, So we get sum as 19.

Question 4.

Answer:

Explanation:

By using linking the cubes

a. First we add 9 + 1 = 10 and now we add 10 + 10 we will get 20.

b. Here we add first 9 + 10 = 19, now we add 19 + 1 = 20,

c. Now here we add 10 with 1 we get 11 to 11 we add 9,

we will get 11 + 9 = 20, So we get sum as 20.

Question 5.

3 + 4 + 5 = _________

Answer:

Explanation:

By using linking the cubes

a. First we add 3 + 5 = 8 and now we add 8 + 4 we will get 12.

b. Here we add first 3 + 4 = 7, now we add 7 and 5 as 7 + 5 = 12,

c. Now here we add 4 with 5 we get 9 to 9 we add 3,

we will get 3 + 9 = 12, So we get sum as 12.

Question 6.

7 + 5 + 5 = ________

Answer:

Explanation:

By using linking the cubes

a. First we add 7 + 5 = 12 and now we add 12 + 5 we will get 17.

b. Here we add first 7 + 5 = 12, now we add 12 and 5 as 12 + 5 = 17,

c. Now here we add 5 and 5 we get 10, we add 7 to 10,

we will get 7 + 10 = 17, So we get sum as 17.

Question 7.

8 + 4 + 8 = ________

Answer:

Explanation:

By using linking the cubes

a. First we add 8 + 8 = 16 and now we add 16 + 4 we will get 20.

b. Here we add first 8 + 4 = 12, now we add 12 and 8 as 12 + 8 = 20,

c. Now here we add 4 with 8 we get 12 ,we add 8 to 12,

we will get 8 + 12 = 20, So we get sum as 20.

Question 8.

**DIG DEEPER!**

Complete the number puzzle so that each branch has the sum of 13.

Answer:

Explanation:

Let us take the missing number as X, Y Z, P

We take 5 + 1 + ___X___ = 13 , means X = 6 + X = 13,

therefore X = 13 – 6 = 7, So 5 + 1 + 7 = 13,

Next Y, 1 + Y + 6 = 13 , 7 + Y = 13, Y = 13 – 7,

We get Y = 6,Making 1 + 6 + 6 = 13

Now Z, 4 + 5 + Z = 13, 9 + Z = 13, Z = 13 – 9,

Z = 4 Making 4 + 5 + 4 = 13

Now P, 7 + P + 2 = 13, 9 + P = 13 ,P = 13 – 9,

We get P = 4 making 7 + 4 + 2 = 13.

Question 9.

**Modeling Real Life**

You have 7 white chickens, I black chicken, and 8 brown chickens. Will the chicken coop hold all of your chickens?

Show how you know:

Answer:

Explanation:

Given I have 7 white chickens, 1 black chicken and 8 brown chickens,

Total Number of chickens with me are 7 + 1 + 8 = 16 ,

Given in the figure a chicken coop can hold 15 chickens and

I have 16 which is more than 15.

No, it is not possible for the chicken coop to hold all 16 chickens.

**Review & Refresh**

Question 10.

5 + __5__ = 10

Answer:

5 + 5 = 10

Explanation:

Let us take the missing number as X,

It is given in the equation that 5 + X = 10,

So X = 10 – 5 = 5, means 5 + 5 = 10.

Question 11.

10 = 6 + ___4___

Answer:

10 = 6 + 4

Explanation:

Let us take the missing number as X,

It is given in the equation that 10 = 6 + X,

So X = 10 – 6 = 4, means 10 = 6 + 4 .

Question 12.

8 + __2___ = 10

Answer:

8 + 2 = 10

Explanation:

Let us take the missing number as X,

It is given in the equation that 8 + X = 10,

So X = 10 – 8 = 2, means 8 + 2 = 10.

Question 13.

10 = 3 + __7___

Answer:

10 = 3 + 7

Explanation:

Let us take the missing number as X,

It is given in the equation that 10 = 3 + 7,

So X = 10 – 3 = 7, means 10 = 3 + 7.

### Lesson 4.5 Add Three Numbers by Making a 10

**Explore and Grow**

Show three ways to find a sum.

4 + 3 + 7 = ________

4 + 3 + 7 = ________

4 + 3 + 7 = ________

Answer:

4 + 3 + 7 = 14

Explanation:

By using the three ways we find sum,

Way 1. First we add 4 + 7 = 11 and now we add 11 + 3 we will get 14.

Way 2. Here we add first 4 + 3 = 7, now we add 7 and 7 as 7 + 7 = 14,

Way 3. Now here we add 3 with 7 we get 10 to 10 we add 4,

we will get 4 + 10 = 14, So we get sum as 14.

**Show and Grow**

Make a 10 to add.

Question 1.

Answer:

Add 9,1 first to make 10 then add 3, sum = 9 + 1 + 3 = 13

Explanation:

To make 10 first we see adding 9 + 1 = 10 is equal to 10,

next we add 1 +3 =4 not equal to 10, 9 + 3 = 12 which

is not equal to 10 ,So to make 10 we add 9,1 first, then add 3,

So the sum is 9 + 1 + 3 = 13.

Question 2.

Answer:

Add 2,8 first to make 10 then add 4, sum = 4 + 2 + 8 = 14

Explanation:

To make 10 first we see adding 4 + 2 = 6,

6 is not equal to 10, 2 + 8 = 10 which is equal to 10 ,

and now we add 4 + 8 = 12 which is not equal to 10,

So to make 10 we add 2,8 first then add 4

So the sum is 4 + 2 + 8 = 14.

Question 3.

Answer:

Add 3,7 first to make 10 then add 2, sum = 2 + 3 + 7 = 12

Explanation:

To make 10 first we see adding 2 + 3 = 5,

5 is not equal to 10, 3 + 7 = 10 which is equal to 10 ,

and now we add 2 + 7 = 9 which is not equal to 10,

So to make 10 we add 3,7 first and then add 2

So the sum is 2 + 3 + 7 = 12.

Question 4.

Answer:

Add 5,5 first to make 10 then add 9, sum = 5 + 5 + 9 = 19

Explanation:

To make 10 first we see adding 5 + 5 = 10,

so is equal to 10, now we add 5 + 9 = 14 which is not equal to 10 ,

and now we add other 5 + 9 = 14 which is also not equal to 10,

So to make 10 we add 5,5 first and then add 9,

So the sum is 5 + 5 + 9 = 19.

**Apply and Grow: Practice**

Make a 10 add.

Question 5.

Answer:

Add 3,7 or 7,3 first to make 10 then add 3, sum = 3 + 7 + 3 = 13

Explanation:

To make 10 first we see adding 3 + 7 = 10,

so is equal to 10, now we add 7 + 3 = 10 which is also equal to 10 ,

and now we add other 3 + 3 = 6 which is not equal to 10,

So to make 10 we add 3,7 or 7,3 first and then add 3

So the sum is 3 + 7 + 3 = 13.

Question 6.

Answer:

Add 8,2 first to make 10 then add 6, sum = 8 + 6 + 2 = 16

Explanation:

To make 10 first we see adding 8 + 6 = 14,

14 is not equal to 10, now we add 6 + 2 = 8 which is not equal to 10 ,

and now we add 8 + 2 = 10 which is equal to 10,

So to make 10 we add 8,2 first and then add 6

So the sum is 8 + 6 + 2 = 16.

Question 7.

Answer:

Add 6,4 first to make 10 then add 7, sum = 6 + 7 + 4 = 17

Explanation:

To make 10 first we see adding 6 + 7 = 13,

It is not equal to 10, now we add 7 + 4 = 11 which is not equal to 10 ,

and now we add 6 + 4 = 10 which is equal to 10,

So to make 10 we add 6,4 first then add 7

So the sum is 6 + 7 + 4 = 17.

Question 8.

Answer:

Add 5,5 first to make 10 then add 8, sum = 8 + 5 + 5 = 18

Explanation:

To make 10 first we see adding 8 + 5 = 13,

It is not equal to 10, now we add 5 + 5 = 10 which equal to 10 ,

and now we add 8 + 5 = 13 which is not equal to 10,

So to make 10 we add 5,5 first then add 8

So the sum is 8 + 5 + 5 = 18.

Question 9.

4 + 6 + 2 = ________

Answer:

Add 4,6 first to make 10 then add 2, sum = 4 + 6 + 2 = 12

Explanation:

To make 10 first we see adding 4 + 6 = 10,

which is equal to 10, now we add 6 + 2 = 8 which is not equal to 10 ,

and now we add 4 + 2 = 6 which is not equal to 10,

So to make 10 we add 4,6 first then add 2

So the sum is 4 + 6 + 2 = 12.

Question 10.

5 + 9 + 1 = ________

Answer:

Add 9,1 first to make 10 then add 5, sum = 5 + 9 + 1 = 15

Explanation:

To make 10 first we see adding 5 + 9 = 14,

which is not equal to 10, now we add 9 + 1 = 10 which is equal to 10 ,

and now we add 5 + 1 = 6 which is not equal to 10,

So to make 10 we add 9,1 first then add 5,

So the sum is 5 + 9 + 1 = 15.

Question 11.

**DIG DEEPER!**

What do you know about the missing addends and the sum?

Answer:

We know the sum of the missing addends is 10 and the total sum is 10 + 3 = 13.

Explanation:

From the picture it is showing that if we add the missing

addends we get sum as 10 and the total sum is 10 + 3 = 13.

So whenever we are adding two missing addends we should always check,

their sum should be always 10, Example if one number is 1

other numbers will be 10-1 = 9. So the missing numbers are (1,9).

It can be even (2,8), (3,7),(4,6),(5,5),(6,4),(7,3),(8,2) or (9,1).

**Think and Grow: Modeling Real Life**

You need to knock down 20 pins to win. Do you win?

Equation:

Show how you know:

Answer:

6 + 3 + 7 = 16, No we will not win.

Explanation:

Given pins as 6,3,7 if we add all we get 6 + 3 + 7 = 16,

we need 20 pins to knock down to win and we got 16 which are less than 20,

So no we will not win.

**Show and Grow**

Question 12.

Your hockey team needs 12 goals to break a record. Does your team break the record?

Equation:

Show how you know:

Answer:

5 + 6 + 4 = 15, Yes my hockey team will break the record.

Explanation:

Given the goals made are 5,6,4 so the total number of goals

made are 5 + 6 + 4 = 15, to break hockey record

we need 12 goals as my team made 15 goals which is more than 12,

Yes my hockey team will break the record.

### Add Three Numbers by Making a 10 Practice 4.5

Make a 10 to add.

Question 1.

Answer:

Add 6,4 first to make 10 then add 8, sum = 6 + 8 + 4 = 18

Explanation:

To make 10 first we see adding 6 + 8 = 14,

which is not equal to 10, now we add 8 + 4 = 12

which is not equal to 10 ,

and now we add 6 + 4 = 10 which is equal to 10,

So to make 10 we add 6,4 first then add 8,

So the sum is 6 + 8 + 4 = 18.

Question 2.

Answer:

Add 3,7 first to make 10 then add 4, sum = 3 + 7 + 4 = 14

Explanation:

To make 10 first we see adding 3 + 7 = 10,

which is equal to 10, now we add 7 + 4 = 11

which is not equal to 10 ,

and now we add 3 + 4 = 7 which is not equal to 10,

So to make 10 we add 3,7 first then add 4,

So the sum is 3 + 7 + 4 = 14.

Question 3.

5 + 8 + 2 = _______

Answer:

Add 8,2 first to make 10 then add 5, sum = 5 + 8 + 2 = 15

Explanation:

To make 10 first we see adding 5 + 8 = 13,

which is not equal to 10, now we add 8 + 2 = 10

which is equal to 10 ,

and now we add 5 + 2 = 7 which is not equal to 10,

So to make 10 we add 8,2 first then add 5,

So the sum is 5 + 8 + 2 = 15.

Question 4.

1 + 9 + 7 = _________

Answer:

Add 1,9 first to make 10 then add 7, sum = 1 + 9 + 7 = 17

Explanation:

To make 10 first we see adding 1 + 9 = 10,

which is equal to 10, now we add 9 + 7 = 16

which is not equal to 10 ,

and now we add 1 + 7 = 8 which is not equal to 10,

So to make 10 we add 1,9 first then add 7,

So the sum is 1 + 9 + 7 = 17.

Question 5.

**DIG DEEPER!**

What do you know about the missing addends and the sum?

Answer:

we know the sum of the missing addends is 10 and the total sum is 10 + 2 = 12.

Explanation:

From the picture it is showing that if we add the missing

addends we get sum as 10 and the total sum is 10 + 2 = 12.

So whenever we are adding two missing addends we should always check,

their sum should be always 10, Example if one number is 2

other number will be 10-2 = 8. So the missing addends here are (2,8).

It can be (1,9),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2) or (9,1).

Question 6.

**Modeling Real Life**

Your baseball team needs 15 runs to break a record. Does your team break the record?

Equation:

Show how you know:

Answer:

6 + 4 + 6 = 16, Yes my team will break the record.

Explanation:

Given my team makes 6,4,6 runs so total runs made are

6 + 4 + 6 = 16, to break the record we require 15 runs

but the team made 16 as 16 is more than 15,

Yes, my team will break the record.

**Review & Refresh**

Circle the heavier object.

Question 7.

Answer:

Explanation:

By looking at the pictures book is heavier than a pencil.

So the book is circled.

Question 8.

Answer:

Explanation:

By looking at the pictures apple is heavier than the feather,

So apple is circled.

### Lesson 4.6 Add 9

**Explore and Grow**

Use counters and the ten frames to find the sum. Show how you can make a lo to solve.

Answer:

9 + 1 + 4 = 14

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have add 1 to 9 now we will minus 1 from 5 we get 5 – 1 = 4,

Now we write the total sum as 9 + 1 + 4 = 14 .

**Show and Grow**

Make a 10 to add.

Question 1.

Answer:

Sum is 9 + 1 + 2 = 12 or 9 + 3 = 12.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 3 we get 3 – 1 = 2,

Now we write the total sum as 9 + 1 + 2 = 12 or 9 + 3 = 12.

Question 2.

Answer:

Sum is 9 + 1 + 5 = 15 or 9 + 6 = 15.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 6 we get 6 – 1 = 5,

Now we write the total sum as 9 + 1 + 5 = 15 or 9 + 6 = 15.

**Apply and Grow: Practice**

Make a 10 to add.

Question 3.

Answer:

Sum is 9 + 1 + 1 = 11 or 9 + 2 = 11.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 2 we get 2 – 1 = 1,

Now we write the total sum as 9 + 1 + 1 = 11 or 9 + 2 = 11.

Question 4.

Answer:

Sum is 9 + 1 + 8 = 18 or 9 + 9 = 18.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 9 we get 9 – 1 = 8,

Now we write the total sum as 9 + 1 + 8 = 18 or 9 + 9 = 18.

Question 5.

Answer:

Sum is 9 + 1 + 4 = 14 or 9 + 5 = 14.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 5 we get 5 – 1 = 4,

Now we write the total sum as 9 + 1 + 4 = 14 or 9 + 5 = 14.

Question 6.

**DIG DEEPER!**

Use the ten frame to complete the equations.

9 + ? = 17

10 + _______ = 17

So, 9 + ________ = 17

Answer:

10 + 7 = 17,

So 9 + 1 + 7 = 17

Explanation:

Given 10 + ____ = 17, to find the missing number we take it as X,

10 + X = 17 , X = 17 – 10 =7. So the equation is 10 + 7 = 17.

Now we write 10 as 9 + 1 by using ten frame and

add 7 so the total sum is 9 + 1 + 7 = 17 or 10 + 7 = 17.

**Think and Grow: Modeling Real Life**

You have 9 stickers and earn 5 more. Your friend has 6 stickers and earns 10 more. Do you and your friend have the same number of stickers?

Addition equations:

you Friend

9 + 5 = 14 6 + 10 = 16

Yes No

Show how you know:

Answer:

My equation is 9 + 5 = 14 and friend has 6 + 10 =16

as 14 is not equal to 16, so I and my friend don’t

have the same number of stickers.

Explanation:

Given I have 9 stickers and earn 5 more means in total I have 9 + 5 = 14 stickers and friend has 6 stickers and earns 10 more means in total friend have 6 + 10 = 16 stickers,

Now comparing between me and my friend as 14 and 16 are not same, So No, I and my friend do not have the same number of stickers.

**Show and Grow**

Question 7.

Your friend has 9 magnets and finds 6 more. You have 5 magnets and find 10 more. Do you and your friend have the same number of magnets?

Addition equations:

you Friend

5 + 10 =15 9 + 6 = 15

Yes No

Show how you know:

Answer:

My equation is 5 + 10 = 15 and friend equation is 9 + 6 = 15,

as both are equal, So Yes, I and my friend have the same number of magnets.

Explanation:

Given I have 5 magnets and find 10 more means in total, I have 5 + 10 = 15 magnets and friend has 9 magnets and finds 6 more means in total friend have 9 + 6 = 15 magnets, Now comparing between me and my friend as 15 and 15 are same, So Yes, I and my friend have the same number of magnets.

### Add 9 Practice 4.6

Make a 10 to add

Question 1.

Answer:

Sum is 9 + 1 + 2 = 12 or 9 + 3 = 12.

Explanation:

First we make sum 10, For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 3 we get 3 – 1 = 2,

Now we write the total sum as 9 + 1 + 2 = 12 or 9 + 3 = 12.

Question 2.

**DIG DEEPER!**

Use the ten frame to complete the equations.

16 = ? + ?

10 + ___6_____ = ___16____

So, 16 = __9 +__1____ + __6___.

Answer:

We write the equation as 16 = 10 + 6

So 16 = 9 + 1 + 6 or 16 = 10 + 6

Explanation:

Given 10 + ____ = 16, to find the missing number we take it as X,

10 + X = 16 , X = 16 – 10 =6. So the equation is 10 + 6 = 16.

Now we write 10 as 9 + 1 by using the ten frame

and add 6 so the total sum is 9 + 1 + 6 = 16 or 10 + 6 = 16.

Question 3.

**Modeling Real Life**

You have 9 rocks and collect 7 more. Your friend has 8 rocks and collects 8 more. Do you and your friend have the same number of rocks?

Yes No

Show how you know:

Answer:

I have 9 + 7 = 16 rocks,

Friend have 8 + 8 = 16 rocks,

Yes, I and my friend have the same number of rocks.

Explanation:

Given I have 9 rocks and collected 7 more,

So I have total 9 + 7 = 16 rocks and my friend have 8 rocks and collects 8 rocks total he have 16 rocks,

Now comparing both me and my friend both have the equal number of rocks, Yes, I and my friend have the same number of rocks.

**Review & Refresh**

Circle the longer object.

Question 4.

Answer:

Explanation:

By seeing the picture we can identify yellow spectacles are longer than the red spectacles, So circled the yellow spectacles.

Question 5.

Answer:

Explanation:

By seeing the picture we can identify tooth paste is longer than the toothbrush, So circled the toothpaste.

### Lesson 4.7 Make a 10 to Add

**Explore and Grow**

Use counters and the ten frame to find the sum.

Show how you can make a lo to solve.

Answer:

Explanation:

First we make sum 10, For 8 to make 10 we need 10-8=2,

as we have to add 2 to 8 now we will minus 2 from 6 we get 6 – 2 = 4,

Now we write the total sum as 8 + 2 + 4 = 14.

**Show and Grow**

Make a 10 to add.

Question 1.

Answer:

Sum as 8 + 2 + 3 = 13 or 8 + 5 = 13.

Explanation:

First we make sum 10, For 8 to make 10 we need 10-8=2,

as we have to add 2 to 8 now we will minus 2 from 5 we get 5 – 2 = 3,

Now we write the total sum as 8 + 2 + 3 = 13 or 8 + 5 = 13.

Question 2.

Answer:

Sum as 7 + 3 + 4 = 14 or 7 + 7 = 14.

Explanation:

First, we make sum 10, For 7 to make 10 we need 10-7=3,

as we have to add 3 to 7 now we will minus 3 from 7 we get 7 – 3 = 4,

Now we write the total sum as 7 + 3 + 4 = 14 or 7 + 7 = 14.

**Apply and Grow: Practice**

Make a 10 to add.

Question 3.

Answer:

Sum as 7 + 3 + 3 = 13 or 7 + 6 = 13.

Explanation:

First we make sum 10, For 7 to make 10 we need 10-7=3,

as we have to add 3 to 7 now we will minus 3 from 6 we get 6 – 3 = 3,

Now we write the total sum as 7 + 3 + 3 = 13 or 7 + 6 = 13.

Question 4.

Answer:

Sum as 7 + 3 + 1 = 11 or 7 + 4 = 11.

Explanation:

First we make sum 10, For 7 to make 10 we need 10-7=3,

as we have to add 3 to 7 now we will minus 3 from 4 we get 4 – 3 = 1,

Now we write the total sum as 7 + 3 + 1 = 11 or 7 + 4 = 11.

Question 5.

Answer:

Sum as 8 + 2 + 5 = 15 or 8 + 7 = 15.

Explanation:

First we make sum 10, For 8 to make 10 we need 10-8=2,

as we have to add 2 to 8 now we will minus 2 from 7 we get 7 – 2 = 5,

Now we write the total sum as 8 + 2 + 5 = 15 or 8 + 7 = 15.

Question 6.

Answer:

Sum as 6 + 4 + 2 = 12 or 6 + 6 = 12.

Explanation:

First we make sum 10, For 8 to make 10 we need 10-6=4,

as we have to add 4 to 6 now we will minus 4 from 6 we get 6 – 4 = 2,

Now we write the total sum as 6 + 4 + 2 = 12 or 6 + 6 = 12.

Question 7.

**MP Number Sense**

Use 4, 7, and 10 to complete the sentence.

7 + ___7_____ has the same sum as ___4___ + __10_____.

Answer:

7 + 7 has the same sum as 4 + 10

Explanation:

Given to use numbers 4,7,10 to make the sentence

7 + _____ = ________ + _______ both sides sum is same

As left side 7 is given we substitute and check first we use 4, then 7 and 10

7 + 4 = 11 now we have numbers 7 and 10, sum is 7+10 = 17

So (7 + 4)= 11 ≠ (7 + 10) =17, next we take 7 and check 7 + 7 = 14

now we have numbers 4 , 10 and sum is 4 + 10 = 14

So (7 + 7) = 14 = (4 + 10) = 14 here if we take for 7 left side and 4,10 right

we get same sum both side, now we even check taking 10 first,

7 + 10 = 17 in left side and we have numbers 7 and 4 for right as 7 + 4 =11,

So (7 + 10)= 17 ≠ (7 + 4) =11, So to make both the same sum

we take left side number as 7 and right side numbers 4, 10

making the sentence as (7 + 7) = (4 + 10) = 14.

**Think and Grow: Modeling Real Life**

There are 8 crabs. 7 more join them. There are 10 turtles. 5 more join them.

Is the number of crabs the same as the number of turtles?

Addition equations:

Yes No

Show how you know:

Answer:

Addition equations:

Crabs Turtles

8 + 7 = 15 10 + 5 =15

Yes, the number of crabs are the same as the number of turtles.

Explanation:

Given 8 crabs and 7 more joined them so the number of crabs are 8 + 7 = 15 crabs and there are 10 turtles and 5 more joined them

So the total number of turtles are 10 + 5 = 15 turtles, as both are 15,

Yes, the number of crabs are the same as the number of turtles.

**Show and Grow**

Question 8.

There are 6 squirrels. 6 more join them. There are 10 birds. 2 more join them. Is the number of squirrels the same as the number of birds?

Addition equations:

Yes No

Show how you know:

Answer:

Squirrels Birds

6 + 6 = 12 10 + 2 = 12

Yes, the number of squirrels are the same as the number of birds.

Explanation:

Given 6 squirrels and 6 more joined them so total squirrels are 6 + 6 = 12 and 10 birds, 2 more birds joined making total as 10 + 2 = 12 birds as both are 12,

Yes, the number of squirrels are the same as the number of birds.

### Make a 10 to Add Practice 4.7

Make a 10 to add.

Question 1.

Answer:

Sum as 6 + 4 + 1 = 11 or 6 + 5 = 11.

Explanation:

First we make sum 10, For 6 to make 10 we need 10-6=4,

as we have to add 4 to 6 now we will minus 4 from 5 we get 5 – 4 = 1,

Now we write the total sum as 6 + 4 + 1 = 11 or 6 + 5 = 11.

Question 2.

**MP Number Sense**

Use 2, 6, and 10 to complete the sentence.

________ + ________ has the same sum as ______ + 6.

Answer:

2 + 10 has the same sum as 6 + 6

Explanation:

Given to use numbers 2,6,10 to make the sentence

_______ + _____ = ________ + 6 both sides sum is same

As right side 6 is given we substitute and check first we use 2, then 6 and 10,

2 + 6 = 8 now we have numbers 6 and 10, sum is 6 + 10 = 16

So (6 + 10) = 16 ≠ (2 + 6) = 8, next we take 6 and check 6 + 6 = 12

now we have numbers 2 , 10 and sum is 2 + 10 = 12

So (2 + 10) = 12 = ( 6 + 6) = 12 here if we take for 6 right side and 2,10 left

we get same sum both side, now we even check taking 10 first,

10 + 6 = 16 in right side and we have numbers 2 and 6 for left as 2 + 6 =8,

So (2 + 6)= 8 ≠ (10 + 6) =16, So to make both the same sum

we take left side numbers as 2,10 and right side number 6

making the sentence as (2 + 10) = (6 + 6) = 12.

Question 3.

**Modeling Real Life**

There are 7 monkeys. 4 more join them. There are 6 birds. 5 more join them. Is the number of monkeys the same as the number of birds?

Yes No

Show how you know:

Answer:

Equations are: Monkeys Birds

7 + 4 = 11 6 + 5 = 11

Yes, the number of monkeys are the same as the number of birds.

Explanation:

Given 7 monkeys and 4 more joined them so total

monkeys are 7 + 4 = 11 and 6 birds, 5 more birds joined

making total as 6 + 5 = 11 birds as both are 11,

Yes, the number of monkeys are the same as the number of birds.

**Review & Refresh**

Question 4.

There are 3

2 more join them.

How many are there now?

____3____ + ___2____ = ____5____

Answer:

3 + 2 = 5, there are 5 aero planes now.

Explanation:

Given there are 3 aero planes and 2 more join them making total

as 3 + 2 = 5 , therefore there are 5 aero planes now.

Question 5.

There are 4

6 more join them.

How many are there now?

___4_____ + ___6_____ = ___10_____

Answer:

4 + 6 = 10, there are 10 airplanes now.

Explanation:

Given there are 4 aero planes and 6 more join them making total as 4 + 6 = 10, therefore there are 10 aero planes now.

### Lesson 4.8 Problem Solving: Addition within 20

**Explore and Grow**

Newton has 9 red crayons, 3 blue crayons, and 1 yellow crayon. How many crayons does he have in all?

________ crayons

Answer:

Newton has 9 + 3 + 1 = 13 crayons in all.

Explanation:

Given Newton has 9 red crayons, 3 blue crayons and 1 yellow crayon,

So the total number of crayons Newton has are 9 + 3 + 1 = 13 crayons,

therefore Newton has 13 crayons in all.

**Show and Grow**

Question 1.

You have 6 notebooks. You buy 5 more. How many notebooks do you have now?

Circle what you know.

Underline what you need to find.

Solve:

_______ ○ _______ = _______ _______ notebooks

Answer:

notebooks

I have 11 notebooks in all.

Explanation:

Given I have 6 note books and buy 5 more , So I know

I have 6 & 5 books, So I circled what I know, I need to find

how many total notebooks I do have now, so I underlined it,

making 6 + 5 = 11 notebooks. So I have total 11 notebooks now.

**Apply and Grow: Practice**

Question 2.

There are 6 soccer balls, 10 basketballs, and 4 volleyballs. How many balls are there in all?

Circle what you know.

Underline what you need to find.

Solve:

Answer:

balls

I have 20 balls in all.

Explanation:

Given there are 6 soccer balls, 10 basketballs, and 4 volleyballs, So I know 6 , 10 & 4 balls, So I circled what I know, I need to find

how many total balls there in all so I underlined it, making 6 + 10 + 4 = 20 balls, therefore there are total 20 balls in all.

Question 3.

You do 8 push-ups. Your friend does I fewer than you. How many push-ups do you and your friend do in all?

____15_____ push-ups

Answer:

In total, I and my friend does 15 push-ups in all.

Explanation:

Given I do 8 push-ups and friend does 1 fewer than me

means 8-1 = 7 push-ups now total number of push-ups are

8 + 7 = 15, So in total I and my friend does 15 push-ups in all.

Question 4.

**YOU BE THE TEACHER**

Newton has 9 magnets. Descartes has 8 more than Newton. Your friend uses a bar model to show how many magnets Descartes has. Is your friend correct? Show how you know.

Answer:

No, your friend is not correct as in bar model it is showing Descartes has 8 magnets.

Descartes has 9 + 8 = 17 magnets.

Explanation :

Given Newton has 9 magnets and Descartes has 8 more than Newton means Descartes has 9 + 8 = 17 magnets. But the bar model is showing Descartes has only 8 magnets, I have shown in the figure Descartes have 9 + 8 = 17 Magnets.

**Think and Grow: Modeling Real Life**

You have 5 bracelets. You have 7 fewer than your friend. How many bracelets does your friend have?

Circle what you know.

Underline what you need to find.

Solve:

________ + ________ = _________ ____12____ bracelets

Answer:

Friend have 12 bracelets.

Explanation:

Given I have 5 bracelets, I have 7 fewer than my friend means

friend have in total as 5 + 7 = 12 bracelets, So circled what I know

5, 7 and underlined the number how many bracelets does friend have,

So friend have 12 bracelets.

**Show and Grow**

Question 5.

Your friend finds 9 seashells. You find 6 more than your friend. How many seashells do you find?

Circle what you know.

Underline what you need to find.

Solve:

____6_____ + ___9____ = __15_____ ___15_____ seashells

Answer:

I found 15 seashells.

Explanation:

Given friend finds 9 seashells and I found 6 more than my friend,

So the total number of shells I found are 9 + 6 = 15 seashells.

I Know friend has 9 and I have more 6 seashells,

So I circled it and underlined to find how many seashells I found.

### Problem Solving: Addition within 20 Practice 4.8

Question 1.

You have 5 robots. Your friend gives you more. Now you have 14. How many robots did your friend give you?

Answer:

Friend has 9 robots.

Explanation :

Given I have 5 robots and now I have 14 robots so I circled it,

I need to find how many friend gives I have underlined it.

Let us take friend gives X robots and we write equation as

5 + X = 14, therefore X = 14 – 5 = 9 means friend gave 9 robots.

Question 2.

There are some plates on a table. You add 8 more. Now there are 12. How many plates were on the table to start?

______4____ plates

Answer:

There were 4 plates on the table to start.

Explanation:

Let us take X as some plates on the table, I added 8 more and

there are 12 now means X + 8 = 12, Therefore X = 12 – 8 = 4,

So 4 plates are there on the table to start.

Question 3.

**YOU BE THE TEACHER**

Newton has 8 tickets. Descartes has 5 more than Newton. Your friend uses a number line to show how many tickets Descartes has. Is your friend correct? Show how you know.

Answer:

Descartes has 13 Tickets,

Yes, Friend is correct.

Explanation:

Given Newton has 8 tickets and Descartes has 5 more than Newton means 8 + 5 = 13 tickets, Descartes has 13 tickets, Now my friend is showing this on number line he is starting from 8 because Newton has 8 and moving 5 units to right as Descartes has 5 more tickets till 13

which is the same as we did sum 8 +5 = 13, So yes, friend is correct.

Question 4.

Modeling Real Life You have 9 medals. You have 9 fewer than your friend. How many medals does your friend have?

____18_______ medals

Answer:

Friend have 18 medals.

Explanation:

Given I have 9 medals and 9 fewer than friend, So friend have

9 + 9 what I have, So friend have 18 medals.

**Review & Refresh**

Question 5.

4 – 3 = ________

Answer:

4- 3 = 1

Explanation:

Given the equation as 4 – 3 = _____ means subtract 3 from 4 we get 1

making equation as 4- 3 = 1.

Question 6.

5 – 2 = ________

Answer:

5 – 2 = 3

Explanation:

Given the equation as 5 – 2 = _____ means subtract 2 from 5 we get 3

making equation as 5 – 2 = 3.

Question 7.

9 – 9 = _________

Answer:

9 – 9 = 0

Explanation:

Given the equation as 9 – 9 = _____ means subtract 9 from 9 we get 0

making equation as 9 – 9 = 0.

Question 8.

7 – 0 = _________

Answer:

7 – 0 = 7

Explanation:

Given the equation as 7 – 0 = _____ means subtract 0 from 7 we get 7

making equation as 7- 0 = 7.

### Add Numbers within 20 Performance Task

Question 1.

You track the weather for a few weeks. Each week has 7 days.

a. You track the weather every day for the first week. But you miss 1 day in the second week. How many days do you track the weather?

___13_______ days

Answer:

I have track of 13 days weather.

Explanation:

Given each week has 7 days, I have the track for every day for the first week,

Means the first week = 7 days, Now in the second week I missed 1 day means

7 – 1 = 6 days track in the second week, So the total number of days are

first week track + second week track = 7 + 6 = 13 , total I have track of 13 days weather.

b. You track the weather for 1 more week. How many days in all do you track the weather?

____20______ days

Answer:

I have track of 20 days weather in all.

Explanation :

Given that I have tracked for 1 more week, We got 13 days before

and now we have 1 more week means 7 days to 13 making total as

13 + 7 = 20 days, So now I have track of 20 days weather in all.

Question 2.

Your friend also tracks the weather. She records 9 sunny days and 5 cloudy days.

How many days does your friend track the weather?

____14______ days

Answer:

My friend has 14 days track record of the weather.

Explanation:

Given my friend records 9 sunny days and 5 cloudy days

track of the weather so in all my friend has track of

9 + 5 = 14 days. Therefore my friend has 14 days track record of the weather.

Question 3.

You record 10 rainy days in the first three weeks. Is the number of rainy days the same as the number of sunny days?

Yes No

Show how you know:

Answer:

No, Number of rainy days are not the same as the number of sunny days.

Explanation:

Given I record 10 rainy days in first three weeks and number of

sunny days for three weeks are 4 + 3 + 4 = 11 days , now comparing

with rainy days as rainy days are less to number of sunny days we say

No, number of rainy days are not the same as the number of sunny days.

### Add Numbers within 20 Chapter Practice

### Add Doubles from 6 to 10 Homework & Practice 4.1

Question 1.

____10______ + ____10____ = ___20______

Answer:

10 + 10 = 20 dots

Explanation:

Given in block 1 we have 10 dots and in block 2 we have 10 dots,

So in total we have 10 + 10 = 20 dots.

Question 2.

Answer:

9 + 9 = 18 dots

Explanation:

Given in block 1 we have 9 dots and in block 2 we have 9 dots,

So in total we have 9 + 9 = 18 dots.

### Use Doubles within 20 Homework & Practice 4.2

Use the doubles 6 + 6 to find each sum.

Question 3.

6 + 7 = ___13_____

Answer:

6 + 7 = 13

Explanation:

We Know the double 6 + 6 = 12 , The number 7 is one more than 6,

So we can write 7 as 6 + 1, The required sum is one more than double,

12 + 1 =13, Sum is 13, therefore 6 + 7 = 13, Double plus 1.

6 + 5 = _______

Answer:

6 + 5 = 11

Explanation:

We Know the double of 6 + 6 = 12 , The number 5 is one less than 6,

So we can write 5 as 6 – 1, The required sum is one less than double,

12 – 1 = 11, Sum is 11, therefore 6 + 5 = 11, Double minus 1.

Find the sum. Write the double you used.

Question 4.

7 + 8 = _______

____7_____ ○ ____8____ = ___15____

Answer:

7 + 8 = 15, 7 + 7 double is used

Explanation:

As the first addend is 7 and we know the double of 7 + 7 = 14 ,

The number 8 is one more than 7, So we can write 8 as 7 + 1,

The required sum is one more than double,

14 + 1 =15, Sum is 15, therefore 7 + 8 = 15, we used the double 7 +7.

Question 5.

10 + 9 = ___19______

_________ ○ ________ = _______

Answer:

10 + 9 = 19, we use double 10 + 10,

Explanation:

As the first addend is 10 and we know the double is 10 + 10,

10 + 10 = 20 , The number 9 is one less than 10,

So we can write 9 as 10 – 1, The required sum is one less than double,

20 – 1 = 19, Sum is 19, therefore 10 + 9 = 17, Double minus 1.

We have use double 10 + 10 .

### Count on to Add within 20 Homework & Practice 4.3

Question 6.

11 + 6 = ___17____

Answer:

11 + 6 = 17

Explanation:

First we start from 11 and move 6 units we get 17 on the number line,

So sum is 11 +6 = 17 .

### Add Three Numbers Homework & Practice 4.4

Question 7.

Answer:

6 + 4 + 4 = 14

Explanation:

By using linking the cubes

a. First we add 4 + 4 = 8 and now we add 6 + 8 we get 14.

b. Here we add 6 + 4 = 10, now we add 10 + 4 =14,

c. Now here we add first 6 with 4 we get 10 to 10 we add 4

we will get 10 + 4 = 14, So we get sum as 14.

Question 8.

Answer:

7 + 8 + 5 = 20

Explanation:

By using linking the cubes

a. First we add 7 + 8 = 15 and now we add 15+ 5 we get 20.

b. Here we add 8 + 5 = 13, now we add 13 + 7 =20,

c. Now here we add first 7 with 5 we get 12 to 12 we add 8

we will get 12 + 8 = 20, So we get sum as 20.

Question 9.

Answer:

9 + 8 + 1 = 18

Explanation:

By using linking the cubes

a. First we add 9 + 8 = 17 and now we add 17 + 1 we get 18.

b. Here we add 8 + 1 =9, now we add 9 + 9 =18,

c. Now here we add first 9 with 1 we get 10 to 10 we add 8

we will get 10 + 8 = 18, So we get sum as 18.

Question 10.

Answer:

2 + 3 + 5 = 10

Explanation:

By using linking the cubes

a. First we add 2 + 3 = 5 and now we add 5 + 5 we get 10.

b. Here we add 3 + 5 =8, now we add 8 + 2 =10,

c. Now here we add first 2 with 5 we get 7 to 7 we add 3

we will get 7 + 3 = 10, So we get sum as 10.

### Add Three Numbers by Making a 10 Homework & Practice 4.5

Make a 10 to add.

Question 11.

Answer:

Add 7,3 first to make 10 then add 9, sum = 7 + 9 + 3 = 19

Explanation:

To make 10 first we see adding 7 + 9 = 16 is not equal to 10,

next we add 9 + 3 = 12 not equal to 10, 7 + 3 = 10 which

is equal to 10 ,So to make 10 we add 7,3 first, then add 9,

So the sum is 7 + 9 + 3 = 19.

Question 12.

Answer:

Add 9,1 first to make 10 then add 4, sum = 4 + 9 + 1 = 14

Explanation:

To make 10 first we see adding 4 + 9 = 13 is not equal to 10,

next we add 9 + 1 = 10 is equal to 10, 4 + 1 = 5 which

is not equal to 10 ,So to make 10 we add 9,1 first, then add 4,

So the sum is 4 + 9 + 1 = 14.

Question 13.

**MP Number Sense**

What do you know about the missing addends and the sum?

Answer:

We know the sum of the missing addends is 10 and the total sum is 10 + 5 = 15.

Explanation:

From the picture it is showing that if we add the missing

addends we get sum as 10 and the total sum is 10 + 5 = 15.

So whenever we are adding two missing addends we should always check,

their sum should be always 10, Example if one number is 1

other number will be 10-1 = 9. So the missing numbers are (1,9).

It can be even (2,8), (3,7),(4,6),(5,5),(6,4),(7,3),(8,2) or (9,1).

### Add 9 Homework & Practice 4.6

Question 14.

Make a 10 to add 9 + 4.

Answer:

Sum as 9 + 1 + 3 = 13 or 9 + 4 = 13.

Explanation:

First we make sum 10 , For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 4 we get 4 – 1 = 3,

Now we write the total sum as 9 + 1 + 3 = 13 or 9 + 4 = 13.

### Make a 10 to Add Homework & Practice 4.7

Question 15.

Make a 10 to add 8 + 5.

Answer:

Sum as 8 + 2 + 3 = 13 or 8 + 5 = 13.

Explanation:

First we make sum 10 , For 8 to make 10 we need 10-8=2,

as we have to add 2 to 8 now we will minus 2 from 5 we get 5 – 2 = 3,

Now we write the total sum as 8 + 2 + 3 = 13 or 8 + 5 = 13.

Question 16.

7 + 7 = ?

Answer:

Sum as 7 + 3 + 4 = 14 or 7 + 7 = 14.

Explanation:

First we make sum 10, For 7 to make 10 we need 10-7=3,

as we have to add 3 to 7 now we will minus 3 from 7 we get 7 – 3 = 4,

Now we write the total sum as 7 + 3 + 4 = 14 or 7 + 7 = 14.

Question 17.

9 + 8 = ?

Answer:

Sum as 9 + 1 + 7 = 17 or 9 + 8 = 17.

Explanation:

First we make sum 10, For 9 to make 10 we need 10-9=1,

as we have to add 1 to 9 now we will minus 1 from 8 we get 8 – 1 = 7,

Now we write the total sum as 9 + 1 + 7 = 17 or 9 + 8 = 17.

### Problem Solving: Addition within 20 Homework & Practice 4.8

Question 18.

**Modeling Real Life**

Your friend finds 7 insects. You find 9 more than your friend. How many insects do you find?

_____16____ insects

Answer:

I found 16 insects.

Explanation:

Given a friend finds 7 insects, I find 9 more than my friend means

I have in total as 7 + 9 = 16 insects,

So I found 16 insects.

#### BIM Grade 1 Chapter 4 Add Numbers within 20

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