Arrays and Picture Models Dividing by 4 Dividing by 5 Dividing by - - PDF document

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3rd Grade

Division

2015-11-03 www.njctl.org

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· Using Multiplication · Arrays and Pictures · Division Word Problems · Dividing by 1 · Dividing by 2 · Dividing by 3 · Dividing by 4 · Dividing by 5 · Dividing by 6 · Dividing by 7 · Dividing by 8 · Dividing by 9

Click on a topic to go to that section.

· Dividing by 10

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Arrays and Picture Models

Return to Table of Contents

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Division means separating a number into equal groups. The 12 apples were divided equally into 4 baskets. How many a pples are in each basket? How would you write the division problem?

Division Slide 6 / 168

To find out 12 ÷ 6, you can draw 6 plates and put the one egg at a time on each plate until all 12 eggs are on plates. 12 ÷ 6 =

Division

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To find out 12 ÷ 6, you can draw 6 plates and put the one egg at a time on each plate until all 12 eggs are on plates. 12 ÷ 6 =

Division

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Teacher Notes

Have students move eggs onto the plates.

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To find out 6 ÷ 2, you can give each toy a cupcake until their are no more cupcakes. How many cupcakes does each toy get? 6 ÷ 2 =

Division Slide 7 (Answer) / 168

To find out 6 ÷ 2, you can give each toy a cupcake until their are no more cupcakes. How many cupcakes does each toy get? 6 ÷ 2 =

Division

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Teacher Notes

Have students move cupcakes to each toy one at a time.

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You can use an array to solve a division problem. Divide the 20 stars into an array with 4 rows. Circle each column. How many stars are in each column?

Arrays Slide 9 / 168

1 Does the picture show 14 ÷ 2? Yes No

x x x x x x x x x x x x x x

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1 Does the picture show 14 ÷ 2? Yes No

x x x x x x x x x x x x x x

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Answer

Yes

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2 What number sentence matches the picture? A 10 ÷ 5 = 2 B 12 ÷ 2 = 6 C Neither A or B

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2 What number sentence matches the picture? A 10 ÷ 5 = 2 B 12 ÷ 2 = 6 C Neither A or B

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Answer

A

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3 How many equal groups can be made if there were 12 eggs and I put 3 eggs in each group?

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3 How many equal groups can be made if there were 12 eggs and I put 3 eggs in each group?

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Answer

4

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4 How many equal groups can be made if there were 15 buttons and I circled groups of 5 buttons?

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4 How many equal groups can be made if there were 15 buttons and I circled groups of 5 buttons?

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Answer

3

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5 What is 18÷ 3? You may use a picture to help you.

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5 What is 18÷ 3? You may use a picture to help you.

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Answer

6

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Using Multiplication

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Slide 15 / 168 Key Terms

Divisor- The number that divides another number Dividend-The number being divided . The dividend is typically the largest number in your fact family. Quotient-The answer to a division problem 16 2 8 16 ÷ 2 = 8 16 / 2 = 8 Division problems can be shown in three ways. Can you point out the dividend, divisor, and quotient in each problem below?

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Division is the inverse (opposite) of multiplication. 40 ÷ 5 =? To find the answer to a division problem on a chart, start at the divisor on left column. Follow the row to the right to find

• dividend. Go up to find the quotient (answer).

1 2

Using Multiplication to Divide Slide 17 / 168

Use your multiplication facts. To figure out 40 ÷ 5 = _____ Write the question backwards and multiply. _____ X 5 = 40

Using Multiplication to Divide

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40 8 5

This is a family fact triangle for 5, 8, & 40. Below are the family of facts for 5, 8, & 40.

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____

5 5 5 8 8 8 4 0 4 0 4 0 40 8 5

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32 8

Complete the family of facts using the fact triangle. Then complete the fact family template below.

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____

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32 8

Complete the family of facts using the fact triangle. Then complete the fact family template below.

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____

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Teacher Notes

The numbers are infinity cloned.

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2 7 3

Complete the family of facts using the fact triangle. Then complete the fact family template below.

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____

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2 7 3

Complete the family of facts using the fact triangle. Then complete the fact family template below.

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____

[This object is a pull tab]

Teacher Notes

The numbers are infinity cloned.

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6 3 9

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ Complete the family of facts using the fact triangle. Then complete the fact family template below.

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6 3 9

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ Complete the family of facts using the fact triangle. Then complete the fact family template below.

[This object is a pull tab]

Teacher Notes

The numbers are infinity cloned.

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5 4

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ Complete the family of facts using the fact triangle. Then complete the fact family template below.

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5 4

1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ Complete the family of facts using the fact triangle. Then complete the fact family template below.

[This object is a pull tab]

Teacher Notes

The numbers are infinity cloned.

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1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ With a partner, create your own fact triangle using a common math fact you already know! Complete the family of facts using the fact triangle. Then complete the fact family template below.

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1

2 3 4 5 6 7 8 9

_____ X _____ = _____ _____ X _____ = _____ _____ _____ = _____ _____ _____ = _____ With a partner, create your own fact triangle using a common math fact you already know! Complete the family of facts using the fact triangle. Then complete the fact family template below.

[This object is a pull tab]

Teacher Notes

The numbers are infinity cloned.

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Click here to play a division game.

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6 Does 45 ÷ 9 = 5? Yes No

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6 Does 45 ÷ 9 = 5? Yes No

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Answer

Yes

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7 Which number sentence does not belong? A 60 ÷ 6 = 10 B 60 x 6 = 10 C 60 ÷ 10 = 6 D 6 x 10 = 60

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7 Which number sentence does not belong? A 60 ÷ 6 = 10 B 60 x 6 = 10 C 60 ÷ 10 = 6 D 6 x 10 = 60

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Answer

B

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8 32 8 = ÷

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8 32 8 = ÷

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Answer

4

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9 56 ÷ 7 = 7 Yes No

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9 56 ÷ 7 = 7 Yes No

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Answer

No

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10 21 ? = 7

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10 21 ? = 7

[This object is a pull tab]

Answer

3

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11 ? = 21 7

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11 ? = 21 7

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Answer

3

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Division Facts

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Dividing by 1

Return to Table of Contents

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During their class trip all 7 of Miss Carter's students have to go on 1 bus. How many students will be on the bus? What is the division problem? What is the answer, including the unit? 7 kids

click

Dividing By 1 Slide 34 / 168

If you have 10 faces and place them in 1 row, how many faces would be in the row? Label your array. 1 10 10 ÷ 1 = 10 faces

Dividing By 1 Slide 35 / 168

You have learned that division is the inverse (opposite) of multiplication. 4 ÷ 1 = ? To find the answer to the division problem on a chart, start at the divisor on left column. Follow the row to the right to find dividend. Go up to find the quotient (answer). 1 2

Dividing By 1 Slide 36 / 168

What could you say is a rule when dividing any number by 1? Every time I divide by 1, the answer is other number. Every time I divide by 1, the quotient is equal to the dividend. Click Click

Dividing By 1

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When dividing a number by 1, the quotient (answer) is the original number. Now that you know that rule, fill in the table below. IN OUT 7 12 29 16 40 Rule: Divide by 1

Dividing By 1 Slide 38 / 168

Find the matching pairs in the space below.

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Click here to play a game to practice dividing by 3.

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12 When you divide by one, the quotient (answer) is...

7 1 = ?

Dividend Quotient Divisor A always 1. B always the dividend (number that is being divided). C Neither A nor B.

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12 When you divide by one, the quotient (answer) is...

7 1 = ?

Dividend Quotient Divisor A always 1. B always the dividend (number that is being divided). C Neither A nor B.

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Answer

B

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13 8 1 =

A 1 B 7 C 8 D 0

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13 8 1 =

A 1 B 7 C 8 D 0

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Answer

C

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14 2 2

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14 2 2

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Answer

1

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15 5 = 5

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15 5 = 5

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Answer

1

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16 Mr. Galloway has 20 erasers to pass out. But, he only has one student. How many erasers did each student receive?

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16 Mr. Galloway has 20 erasers to pass out. But, he only has one student. How many erasers did each student receive?

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Answer

20

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Return to Table of Contents

Dividing by 2

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Grandma sent $18 to Ana and her sister. The girls had to share the

• money. How much money did each girl get?

What is the division problem?

Dividing By 2 Slide 46 (Answer) / 168

Grandma sent $18 to Ana and her sister. The girls had to share the

• money. How much money did each girl get?

What is the division problem?

Dividing By 2

[This object is a pull tab]

Teacher Notes

Have students move money to divide it

• equally. Line money

up above each girl.

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Thomas and Reese collected 13 rocks. They decided to split the rocks between them when it was time to go home. How many rocks did each boy get? What is the division problem? How is this problem different from the last?

Dividing By 2 Slide 47 (Answer) / 168

Thomas and Reese collected 13 rocks. They decided to split the rocks between them when it was time to go home. How many rocks did each boy get? What is the division problem? How is this problem different from the last?

Dividing By 2

[This object is a pull tab]

Teacher Notes

Have students move rocks to divide them

• equally. Line rocks

up above each boy.

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All even number are divisible by 2. That means all numbers with a 0, 2, 4, 6, 8 in the ones place can be divided by 2. IN OUT 8 12 10 16 7 Rule: Divide by 2

Dividing By 2 Slide 49 / 168 Slide 50 / 168

Click to play a game where you can practice dividing by 2.

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17 All numbers that are divisible by two are... A Even B Odd C Have a 2 in the ones place

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17 All numbers that are divisible by two are... A Even B Odd C Have a 2 in the ones place

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Answer

A

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18 15 ÷ 2 = 7 True False

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18 15 ÷ 2 = 7 True False

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Answer

False

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19 12 2 = A 6 B 10 C 24 D 14

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19 12 2 = A 6 B 10 C 24 D 14

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Answer

A

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20 10 / _____ = 5

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20 10 / _____ = 5

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Answer

2

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21 Drew was asked to divide the Responders into two

• baskets. If there were 24 Responders, how many did

Drew put in each basket?

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21 Drew was asked to divide the Responders into two

• baskets. If there were 24 Responders, how many did

Drew put in each basket?

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Answer

12

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22 Henry went to the store and bought 16 pieces of candy for him and his brother. How many pieces

• f candy did each boy get?

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22 Henry went to the store and bought 16 pieces of candy for him and his brother. How many pieces

• f candy did each boy get?

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Answer

8

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Dividing by 3

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Granny Potter made 12 hats to give to her 3 cats. Help Granny give away all 12 hats to her cats.

Tabby Scratch Blue

What is the division problem?

Dividing by 3 Slide 58 (Answer) / 168

Granny Potter made 12 hats to give to her 3 cats. Help Granny give away all 12 hats to her cats.

Tabby Scratch Blue

What is the division problem?

Dividing by 3

[This object is a pull tab]

Teacher Notes

Have students move hats to divide them

• equally. Line hats

up above each cat.

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If you add the digits of a number together and it equals a number that is divisible by 3, then that number is divisible by 3. For example, 36 ÷ 3 = 3 + 6 = 9 Since 9 is divisible by 3, then 36 is divisible by 3. IN OUT 3 12 6 30 9 Rule: Divide by 3

Dividing by 3 Slide 60 / 168 Slide 61 / 168

Click here to play a game to practice division facts.

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23 What is the sum of the digits in the number 27?

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23 What is the sum of the digits in the number 27?

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Answer

9

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24 Is 27 divisible by 3?

Yes No

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24 Is 27 divisible by 3?

Yes No

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Answer

Yes

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25 What is the sum of the digits in the number 23?

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25 What is the sum of the digits in the number 23?

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Answer

5

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26 The library teacher wants to rearrange 23 books

• nto 3 shelves. Will she be able to evenly divide

them on the shelves?

Yes No

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26 The library teacher wants to rearrange 23 books

• nto 3 shelves. Will she be able to evenly divide

them on the shelves?

Yes No

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Answer

No

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27 What is the sum of the digits in the number 18?

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27 What is the sum of the digits in the number 18?

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Answer

9

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28 18 ÷ 3 = _____

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28 18 ÷ 3 = _____

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Answer

6

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29 Three friends pick flowers and put them together. They have 15 and want to share them equally. How many will each friend get?

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29 Three friends pick flowers and put them together. They have 15 and want to share them equally. How many will each friend get?

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Answer

5

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30 Pablo buys 6 packages of car stamps. Each package has 6 car stamps. Pablo shares these car stamps equally among himself and 3 friends. What is the total number of car stamps that Pablo and each of his 3 friends receive? stamps

From PARCC EOY sample test #11

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30 Pablo buys 6 packages of car stamps. Each package has 6 car stamps. Pablo shares these car stamps equally among himself and 3 friends. What is the total number of car stamps that Pablo and each of his 3 friends receive? stamps

From PARCC EOY sample test #11

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Answer

9

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Dividing by 4

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Farmer Matt was trying to finish his chores for the day. He needs to separate the horses into 4 groups to feed them hay. Can you help him move his horses to their hay? What is the division problem?

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Farmer Matt was trying to finish his chores for the day. He needs to separate the horses into 4 groups to feed them hay. Can you help him move his horses to their hay? What is the division problem?

Dividing by 4

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Teacher Notes

Have students move horses to divide them equally. Line them up next to each pile of hay.

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To divide a number by 4, divide the number by 2. Then divide it by 2 again. IN OUT 8 12 10 16 7 Rule: Divide by 4

Dividing by 4 Slide 73 / 168

Click here to play a game to practice dividing by 4.

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31 Is 28 divisible by 4? Yes No

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31 Is 28 divisible by 4? Yes No

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Answer

Yes

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32 Is 14 divisible by 4? Yes No

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32 Is 14 divisible by 4? Yes No

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Answer

No

Slide 76 / 168 Not Divisible by 4

Pull Pull

Not Divisible by 4

Pull Pull

Divisible by 4

Pull Pull

Divisible by 4

Pull Pull

Divisible by 4

Pull Pull

16 Pull to check if the numbers above each box are divisible by 4. 33 49 20 8

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33 Is 25 divisible by 4? Yes No

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33 Is 25 divisible by 4? Yes No

[This object is a pull tab]

Answer

No

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34 4 32 =

÷

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34 4 32 =

÷

[This object is a pull tab]

Answer

8

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35 36 calculators get donated to a school. They are

going to be evenly shared between 4 classrooms. How many calculators will each classroom get?

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35 36 calculators get donated to a school. They are

going to be evenly shared between 4 classrooms. How many calculators will each classroom get?

[This object is a pull tab]

Answer

9

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36 Sammy is sorting candy for his friends. He has 36 pieces of candy to give away. If he wants each friend to have 4 pieces of candy, how many friends can he give candy to?

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36 Sammy is sorting candy for his friends. He has 36 pieces of candy to give away. If he wants each friend to have 4 pieces of candy, how many friends can he give candy to?

[This object is a pull tab]

Answer

9

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37 Jane bought 24 light bulbs. The light bulbs come in packs of 4. How many packs of light bulbs did Jane buy? light bulbs

From PARCC PBA sample test #10

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37 Jane bought 24 light bulbs. The light bulbs come in packs of 4. How many packs of light bulbs did Jane buy? light bulbs

From PARCC PBA sample test #10

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Answer

6

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Dividing by 5

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Barney had $.40 in coins. If the coins were all nickels, how many nickels did Barney have? What is the division problem? What is the answer? Remember your units.

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Barney had $.40 in coins. If the coins were all nickels, how many nickels did Barney have? What is the division problem? What is the answer? Remember your units.

Dividing by 5

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Teacher Notes

Nickels are infinitely cloned.

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While playing a game of memory, Kelly placed her 16 cards in 5

• rows. How many cards were in each row?

What is the division problem? How is this problem different than the last?

Dividing by 5 Slide 84 (Answer) / 168

While playing a game of memory, Kelly placed her 16 cards in 5

• rows. How many cards were in each row?

What is the division problem? How is this problem different than the last?

Dividing by 5

[This object is a pull tab]

Teacher Notes

Move cards into rows, some are stacked on top of each other.

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What is a rule for dividing by 5? Numbers with a 0 or 5 in the ones place are divisible by 5.

click to reveal

Dividing by 5 Slide 86 / 168

Numbers with a 0 or 5 in the ones place are divisible by 5. IN OUT 10 25 10 30 7 Rule: Divide by 5

Dividing by 5 Slide 87 / 168 Slide 88 / 168

Click here to play a game to practice dividing by 5.

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38 When dividing by 5, the number in the ones place

should be... A B 5 C both A and B D neither A nor B

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38 When dividing by 5, the number in the ones place

should be... A B 5 C both A and B D neither A nor B

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Answer

C

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39 46 is divisible by 5.

True False

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39 46 is divisible by 5.

True False

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Answer

False

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40 Tyler has 50 cupcakes and is able to place them evenly into rows of 5. True False

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40 Tyler has 50 cupcakes and is able to place them evenly into rows of 5. True False

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Answer

True

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41 15 ÷ 5 =

A 10 B 20 C 3

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41 15 ÷ 5 =

A 10 B 20 C 3

[This object is a pull tab]

Answer

C

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42 Bubba had 35 shrimp. He puts 5 shrimp on each of

his guest's plates. How many guests did Bubba have?

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42 Bubba had 35 shrimp. He puts 5 shrimp on each of

his guest's plates. How many guests did Bubba have?

[This object is a pull tab]

Answer

7

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43 Ashley has $0.55 in coins. If all of the coins are nickels, how many nickels does she have?

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43 Ashley has $0.55 in coins. If all of the coins are nickels, how many nickels does she have?

[This object is a pull tab]

Answer

11

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44 45 5 =

From PARCC EOY sample test #31

÷

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44 45 5 =

From PARCC EOY sample test #31

÷

[This object is a pull tab]

Answer

36

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Return to Table of Contents

Dividing by 6

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The photographer was making a photo album book for her client. She can fit 6 photos on a page of the book. There are 18 photos in her camera bag mess. Help her organize her photos onto the photo

• pages. How many pages will she fill up?

What is the division problem?

photo page

Dividing by 6 Slide 97 (Answer) / 168

The photographer was making a photo album book for her client. She can fit 6 photos on a page of the book. There are 18 photos in her camera bag mess. Help her organize her photos onto the photo

• pages. How many pages will she fill up?

What is the division problem?

photo page

Dividing by 6

[This object is a pull tab]

Teacher Notes

Have students move the photos to divide them equally. Line six up on each page.

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If a number is divisible by 2 and 3, then the number is divisible by 6. IN OUT 18 24 10 30 7 Rule: Divide by 6

Dividing by 6

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Divisible by 2 Divisible by 3 Divisible by 6 4 6 8 9 12 13 15 18 20 21 17 Move each number to where it belongs in the Venn Diagram.

Dividing by 6 Slide 100 / 168

Click here to play a game to practice dividing by 6.

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45 What is the sum of the digits in the

number 36?

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45 What is the sum of the digits in the

number 36?

[This object is a pull tab]

Answer

9

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46 Is 36 divisible by 6? Yes No

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46 Is 36 divisible by 6? Yes No

[This object is a pull tab]

Answer

Yes

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47 What is the sum of the digits in the

number 46?

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47 What is the sum of the digits in the

number 46?

[This object is a pull tab]

Answer

10

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48 Is 46 divisible by 6? Yes No

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48 Is 46 divisible by 6? Yes No

[This object is a pull tab]

Answer

No

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49 Your class is arranging 24 chairs into 6

• rows. How many chairs will be in each

row?

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49 Your class is arranging 24 chairs into 6

• rows. How many chairs will be in each

row?

[This object is a pull tab]

Answer

4

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Dividing by 7

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Darla is trying to eat healthier. Every morning she makes a fruit smoothie at breakfast. Remember, there are 7 days in a week. If she has made 21 smoothies in a row, how many weeks has she been on her healthy eating plan?

Dividing by 7 Slide 107 (Answer) / 168

Darla is trying to eat healthier. Every morning she makes a fruit smoothie at breakfast. Remember, there are 7 days in a week. If she has made 21 smoothies in a row, how many weeks has she been on her healthy eating plan?

Dividing by 7

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Teacher Notes

Have students move smoothies to each day on the calendar.

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IN OUT 14 21 10 42 7 Rule: Divide by 7 Complete the table below.

Dividing by 7 Slide 109 / 168 Not Divisible by 7

Pull Pull

Not Divisible by 7

Pull Pull

Divisible by 7

Pull Pull

Divisible by 7

Pull Pull

Divisible by 7

Pull Pull

16 Pull to check if the numbers above each box are divisible by 7. 21 49 20 70

Slide 110 / 168

Click here to play a game to practice dividing by 7.

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50 What number goes in the input-output

table where the question mark is?

IN OUT

?

2 28 6 49 9 Rule: Divide by 7 Answer

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51 What number goes in the input-output

table where the question mark is?

IN OUT 2 28

?

6 49 9 Rule: Divide by 7 Answer

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52 What number goes in the input-output

table where the question mark is?

IN OUT 2 28

?

6 49 9 Rule: Divide by 7 Answer

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53 What number goes in the input-output

table where the question mark is?

IN OUT 2 28 6 49

?

9 Rule: Divide by 7 Answer

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54 What number goes in the input-output

table where the question mark is?

IN OUT 2 28 6 49

?

9 Rule: Divide by 7 Answer

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55 Which equations are true? Select the three correct answers. A 7 7 = 0 B 3 x 4 = 12 C 10 5 = 5 D 16 2 = 8 E 0 x 6 = 0 ÷ ÷ ÷

From PARCC PBA sample test #2

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55 Which equations are true? Select the three correct answers. A 7 7 = 0 B 3 x 4 = 12 C 10 5 = 5 D 16 2 = 8 E 0 x 6 = 0 ÷ ÷ ÷

From PARCC PBA sample test #2

[This object is a pull tab]

Answer

B, D, E

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÷ 56 42 7 =

From PARCC EOY sample test #16

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÷ 56 42 7 =

From PARCC EOY sample test #16

[This object is a pull tab]

Answer

6

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Dividing by 8

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The pet store needs to reorganize its fish into new aquariums. Each new aquarium can only hold 8 fish. Can you help them move their 24 fish? What is the division problem?

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The pet store needs to reorganize its fish into new aquariums. Each new aquarium can only hold 8 fish. Can you help them move their 24 fish? What is the division problem?

Dividing by 8

[This object is a pull tab]

Teacher Notes

Have students move fish to each

• aquarium. The

aquariums are infinitely cloned.

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IN OUT 24 16 10 48 8 Rule: Divide by 8 Complete the table below. A number is divisible by 8 if you can divide it by 2 a total of 3 times. For example, 24 / 2 = 12 12 / 2 = 6 6 / 2 = 3. We were able to divide it by 2 a total of 3 times. So, 24 / 8 = 3

Dividing by 8 Slide 121 / 168 Slide 122 / 168

Click here to play a game to practice dividing by 8.

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57 What number goes in the input-output

table where the question mark is?

IN OUT

?

2 40 4 72 7 Rule: Divide by 8 Answer

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58 What number goes in the input-output

table where the question mark is?

IN OUT 2 40

?

4 72 7 Rule: Divide by 8 Answer

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59 What number goes in the input-output

table where the question mark is?

IN OUT 2 40

?

4 72 7 Rule: Divide by 8 Answer

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60 What number goes in the input-output

table where the question mark is?

IN OUT 2 40 4 72

?

7 Rule: Divide by 8 Answer

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61 What number goes in the input-output

table where the question mark is?

IN OUT 2 40 4 72

?

7 Rule: Divide by 8 Answer

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62 56 8 =

From PARCC EOY sample test #10

÷

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62 56 8 =

From PARCC EOY sample test #10

÷

[This object is a pull tab]

Answer

7

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63 64 = 8

From PARCC EOY sample test #20

÷

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63 64 = 8

From PARCC EOY sample test #20

÷

[This object is a pull tab]

Answer

8

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Dividing by 9

Slide 131 / 168

Uncle Eddy has 9 nieces and nephews. He has 18 gifts to give away. How many gifts will each niece or nephew receive? What is the division problem?

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Uncle Eddy has 9 nieces and nephews. He has 18 gifts to give away. How many gifts will each niece or nephew receive? What is the division problem?

Dividing by 9

[This object is a pull tab]

Teacher Notes

Have students move gifts to each niece and nephew.

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If you add the digits of a number together and it equals a number that is divisible by 9, then that number is divisible by 9. For example, 36 ÷ 3 = 3 + 6 = 9 Since 9 is the sum, then 36 is divisible by 9. IN OUT 27 18 10 45 7 Rule: Divide by 9

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No Yes Yes Yes Yes Yes No Yes Decide if each number is divisible by 9. Pop each balloon to see if you are correct. 18 36 29 45 55 63 54 81

Dividing by 9 Slide 134 / 168

Click here to play a game to practice dividing by 9.

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64 9 ÷ 0 = _____

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64 9 ÷ 0 = _____

[This object is a pull tab]

Answer

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65 45 ÷ 9 = _____

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65 45 ÷ 9 = _____

[This object is a pull tab]

Answer

5

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66 81 9 =

From PARCC EOY sample test #39

÷

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66 81 9 =

From PARCC EOY sample test #39

÷

[This object is a pull tab]

Answer

9

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67 Cindy is finding the quotient for 27 9. She says, "The answer is 18 because addition is the opposite of division and 9 + 18 = 27. Is Cindy correct? Yes No Explain why

From PARCC PBA sample test #6

÷

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67 Cindy is finding the quotient for 27 9. She says, "The answer is 18 because addition is the opposite of division and 9 + 18 = 27. Is Cindy correct? Yes No Explain why

From PARCC PBA sample test #6

÷

[This object is a pull tab]

Answer

No Allow students time to explain why.

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68 How can Cindy correct her reasoning? What is the quotient when 27 is divided by 9.

From PARCC sample test

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68 How can Cindy correct her reasoning? What is the quotient when 27 is divided by 9.

From PARCC sample test

[This object is a pull tab]

Answer

3

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Dividing by 10

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Haley has $100. If she spends $10 at each store, how many stores can she visit? What is the division problem?

store store store store store store store store store store

Dividing by 10

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Haley has $100. If she spends $10 at each store, how many stores can she visit? What is the division problem?

store store store store store store store store store store

Dividing by 10

[This object is a pull tab]

Teacher Notes

Have students move money to each store.

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Numbers that can be divided by 10 all end in 0. IN OUT 20 40 10 50 7 Rule: Divide by 10

Dividing by 10 Slide 143 / 168 Slide 144 / 168

Click here to play a game to practice dividing by 10.

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69 What number goes in the input-output

table where the question mark is?

IN OUT 2 40 6 80

?

7

Rule: Divide by 10

Answer

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70 130 is divisible by 10. True False

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70 130 is divisible by 10. True False

[This object is a pull tab]

Answer

True

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71 98 is divisible by 10. Yes No

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71 98 is divisible by 10. Yes No

[This object is a pull tab]

Answer

No

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72 Which two equations represent TRUE divisions sentences. A 100 / 10 = 10 B 30 / 3 = 3 C 120 / 120 = 120 D 50 / 5 = 10

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72 Which two equations represent TRUE divisions sentences. A 100 / 10 = 10 B 30 / 3 = 3 C 120 / 120 = 120 D 50 / 5 = 10

[This object is a pull tab]

Answer

A & D

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73 80 10 = ? ÷

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73 80 10 = ? ÷

[This object is a pull tab]

Answer

8

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Division Word Problems

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Slide 151 / 168

When given a word problem, read it carefully and try to picture the story that is being told. Make sure you understand what the question is asking for. Don't forget the units in your answer.

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Aliyah bought 24 pieces of candy. She wanted to share her candy equally with herself and 3 of her friends. How many pieces of candy wi ll each person get? What words means to divide? Look for these words in each problem.

÷ =

Division Word Problems Slide 152 (Answer) / 168

Aliyah bought 24 pieces of candy. She wanted to share her candy equally with herself and 3 of her friends. How many pieces of candy wi ll each person get? What words means to divide? Look for these words in each problem.

÷ =

Division Word Problems

[This object is a pull tab]

Teacher Notes

Candy is infinitely cloned.

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• Mr. Wall has 14 erasers. He wanted to give each of his students 2
• erasers. How many students does Mr. Wall have?

÷ =

Division Word Problems

Slide 153 (Answer) / 168

• Mr. Wall has 14 erasers. He wanted to give each of his students 2
• erasers. How many students does Mr. Wall have?

÷ =

Division Word Problems

[This object is a pull tab]

Teacher Notes

Eraser is infinitely cloned.

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The third grade students want to arrange their 15 chairs for a performance in their room. If they can fit 5 chairs across, how many rows will they have?

÷ =

Division Word Problems Slide 154 (Answer) / 168

The third grade students want to arrange their 15 chairs for a performance in their room. If they can fit 5 chairs across, how many rows will they have?

÷ =

Division Word Problems

[This object is a pull tab]

Teacher Notes

Chair is infinitely cloned.

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Click here to practice solving division word problems.

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Work in your group to create division story problems for the following number sentences:

45 ÷ 9 = 5 18 ÷ 2 = 9 42 ÷ 6 = 7 9 ÷ 1 = 9

Division Word Problems Slide 157 / 168

74 Is this a division number story?

The basketball team needed new shoelaces. If there are 5 players, how many shoelaces do they need in all? Yes No

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74 Is this a division number story?

The basketball team needed new shoelaces. If there are 5 players, how many shoelaces do they need in all? Yes No

[This object is a pull tab]

Answer

No

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75 Is this a division number story?

Jenny and her sister received a bag of 10 different colored hats from their grandma. How many hats does each girl receive? Yes No

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75 Is this a division number story?

Jenny and her sister received a bag of 10 different colored hats from their grandma. How many hats does each girl receive? Yes No

[This object is a pull tab]

Answer

Yes

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76 Solve : Jenny and her sister received a

bag of 10 different colored hats from their grandma. How many hats does each girl receive?

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76 Solve : Jenny and her sister received a

bag of 10 different colored hats from their grandma. How many hats does each girl receive?

[This object is a pull tab]

Answer

5

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77 Is this a division number story?

The triplets were given $21 to split among

• them. How much money does each child

get? Yes No

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77 Is this a division number story?

The triplets were given $21 to split among

• them. How much money does each child

get? Yes No

[This object is a pull tab]

Answer

Yes

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78 Solve : The triplets were given $21 to split

among them. How much money does each child get? A $3 B $7 C $21

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78 Solve : The triplets were given $21 to split

among them. How much money does each child get? A $3 B $7 C $21

[This object is a pull tab]

Answer

B

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79 Is this a division number story?

Pizzas were bought for Tonya's birthday

• party. If each pizza has 8 slices and there

were 56 slices in all. How many pizzas were bought? Yes No

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79 Is this a division number story?

Pizzas were bought for Tonya's birthday

• party. If each pizza has 8 slices and there

were 56 slices in all. How many pizzas were bought? Yes No

[This object is a pull tab]

Answer

Yes

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80 Solve: Pizzas were bought for Tonya's

birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought?

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80 Solve: Pizzas were bought for Tonya's

birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought?

[This object is a pull tab]

Answer

7

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81 Is this a division number story?

There 8 children on the soccer team. Each player sells 2 boxes of candy. How many boxes are sold? Yes No

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81 Is this a division number story?

There 8 children on the soccer team. Each player sells 2 boxes of candy. How many boxes are sold? Yes No

[This object is a pull tab]

Answer

Yes

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82 Which three statements can be represented by the expression 24 4? A Jake makes 24 muffins. He gives away 4 muffins. B Collin has 24 toy trucks. He sorts them into groups

• f 4 trucks each.

C Amira has 24 trading cards. She puts them into piles containing 4 cards each. D Rosemary puts 24 stickers in each book. She uses enough stickers to fill 4 books. E Steven fills a new bookshelf with 24 books. He puts the same number of books on each of the 4 shelves.

From PARCC EOY sample test #22

÷

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82 Which three statements can be represented by the expression 24 4? A Jake makes 24 muffins. He gives away 4 muffins. B Collin has 24 toy trucks. He sorts them into groups

• f 4 trucks each.

C Amira has 24 trading cards. She puts them into piles containing 4 cards each. D Rosemary puts 24 stickers in each book. She uses enough stickers to fill 4 books. E Steven fills a new bookshelf with 24 books. He puts the same number of books on each of the 4 shelves.

From PARCC EOY sample test #22

÷

[This object is a pull tab]

Answer

B, C, & E

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83 Brian has 48 cupcakes in 6 boxes. Each box holds an equal number of cupcakes. Bryan uses this equation to find how many cupcakes are in each box. 48 ÷ 6 = ? Create a different equation Bryan could use to find the number of cupcakes in each of the 6 boxes. Select one from each group. A ? B 6 C 48 D + E - F x G H ? I 6 J 48 ÷ = 48

From PARCC PBA sample test #11

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83 Brian has 48 cupcakes in 6 boxes. Each box holds an equal number of cupcakes. Bryan uses this equation to find how many cupcakes are in each box. 48 ÷ 6 = ? Create a different equation Bryan could use to find the number of cupcakes in each of the 6 boxes. Select one from each group. A ? B 6 C 48 D + E - F x G H ? I 6 J 48 ÷ = 48

From PARCC PBA sample test #11

[This object is a pull tab]

Answer

B, F, H Slide 167 / 168

84 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. Part A How many red balloons does Mr. Kahn have? A 8 B 9 C 32 D 36

From PARCC PBA sample test #12

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84 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. Part A How many red balloons does Mr. Kahn have? A 8 B 9 C 32 D 36

From PARCC PBA sample test #12

[This object is a pull tab]

Answer

B

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85 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. Part B

• Mr. Kahn gave away 8 blue balloons and 6 red balloons.

He gave away 3 times the number of white balloons as red balloons. What was the total number of balloons Mr. Kahn gave away? A 17 B 23 C 32 D 42

From PARCC sample test

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85 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. Part B

• Mr. Kahn gave away 8 blue balloons and 6 red balloons.

He gave away 3 times the number of white balloons as red balloons. What was the total number of balloons Mr. Kahn gave away? A 17 B 23 C 32 D 42

From PARCC sample test

[This object is a pull tab]

Answer

C