grade 3 - newark public...

Grade 3 Operations and Algebraic Thinking

3.OA.5 & 3.OA.6

2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

Student Pages

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Below is an array that shows 6 x 3 = 18. Look at the array below. Design your own array that would depict the

problem 8 x 4. What does 8 x 4 equal? Would the answer change if the problem was 4 x 8? Use your array to

help you answer these questions.

Example

6 x 3=18

Introductory Task Guided Practice Collaborative Homework Assessment

Journal Question Why is understanding how to multiply useful? Describe one way you could use

multiplication in your daily life.

Grade 3 - Lesson 1 Introductory Task

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Use the arrays below to help you identify the multiplication problems that are being described.

1.

_____X_____ or _____ X _____

2.

_____X_____ or _____ X _____

3.

_____X_____ or _____ X _____

4.

_____X_____ or _____ X _____

5.

_____X_____ or _____ X _____

6.

_____X_____ or _____ X _____


Grade 3 - Lesson 1 Guided Practice

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7.

6 x 5 or 5 x 6

8.

3 x 7 or 7 x 3

9.

1 x 9 or 9 x 1

10.

10 x 3 or 3 x 10

11.

4 x 5 or 5 x 4

12..

8 x 3 or 3 x 8


Create your own array below that identifies the multiplication problems that are listed.


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1.

_____X_____ or _____ X _____

2.

_____X_____ or _____ X _____

3.

_____X_____ or _____ X _____

4.

_____X_____ or _____ X _____

Name____________________________ Date_____________________

Below you will need to either identify the multiplication problem that is described by an array, or create

your own array to describe a multiplication problem that is given. Use the arrays below to help you identify

the multiplication problems that are being described.

Grade 3 - Lesson 1 Homework

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5.

_____X_____ or _____ X _____

6.

_____X_____ or _____ X _____

Create your own array below to that identifies the multiplication problems that are listed.

7.

6 x 5 or 5 x 6

8.

3 x 10 or 10 x 3

9.

1 x 9 or 9 x 1

10.

4 x 3 or 3 x 4

11.

4 x 5 or 5 x 4

12..

8 x 3 or 3 x 8


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Do the diagrams below show the same quantity of stars? Describe how you can determine the answer using

multiplication.

Diagram A Diagram B


Journal Question

In your own words, describe what happens when you multiply two

numbers together. Explain what is special about multiplying by 1.


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Identify the multiplication problems that are pictured below.

1.

______ X _____ = ______ or _____ X _____ = _______

2.

______ X _____ = ______ or _____ X _____ = _______

3.

______ X _____ = ______ or _____ X _____ = _______



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4.

______ X _____ = ______ or _____ X _____ = _______

5.

______ X _____ = ______ or _____ X _____ = _______

6.

______ X _____ = ______ or _____ X _____ = _______

7.

______ X _____ = ______ or _____ X _____ = _______



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Create pictorial representations of the multiplication problems listed below 8.

__1__ X __7__ = ______ or __7__ X _1___ = _______

9.

__4__ X __6__ = ______ or __6__ X _4___ = _______

10.

__9__ X __2__ = ______ or __2__ X _9___ = _______



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Name: ____________________________ Date: _______________________

Identify the multiplication problems that are pictured below.

1.

______ X _____ = ______ or _____ X _____ = _______

2.

______ X _____ = ______ or _____ X _____ = _______

3.

______ X _____ = ______ or _____ X _____ = _______



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4.

______ X _____ = ______ or _____ X _____ = _______

5.

______ X _____ = ______ or _____ X _____ = _______

6.

______ X _____ = ______ or _____ X _____ = _______

7.

______ X _____ = ______ or _____ X _____ = _______



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Create pictorial representations of the multiplication problems listed below 8.

__1__ X __9__ = ______ or __9__ X _1___ = _______

9.

__4__ X __5__ = ______ or __5__ X _4___ = _______

10.

__7__ X __2__ = ______ or __2__ X _7___ = _______



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Zack wants to hang his 8 model airplanes from his bedroom ceiling with wire. Each model airplane needs 6

inches of wire. How many inches of wire will Zack need to hang all 8 of his model airplanes? If Zack bought

two more airplanes, how much more wire would he need?



Journal Question

If 7x9=63, and 2+5=7, does (2x9)+(5x9)=63? Explain your answer in words or pictures.

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Look at the example below. Notice how larger groups can be broken into smaller pieces to make multiplying

easier. In this case 7x8=56. However, 7 can be broken down into 2+5. So, 2x8=16 and 5x8=40, and

40+16=56.

Look at the arrays below. Try to determine what multiplication problem the original array represents. Then

try to break it into small pieces like the example.

1.

____X____=____ ____X____=____ ______

____X____=____ + ______

______


5 x 8 = 40

2 x 8 = 16

56

7x 8 = 56


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2.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

3.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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4. xxxxxxxxxxxx xxxxxxxxxxxx

xxxxxxxxxxxx xxxxxxxxxxxx



____X____=____ ____X____=____ ______

____X____=____ + ______

______

5. OOOOOOOOO OOOOOOOOO

OOOOOOOOO OOOOOOOOO

OOOOOOOOO OOOOOOOOO

OOOOOOOOO OOOOOOOOO

OOOOOOOOO OOOOOOOOO

OOOOOOOOO OOOOOOOOO

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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6.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

7.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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8.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

9.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

10.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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Name _______________________ Date __________________

Look at the arrays that follow. Try to determine what multiplication problem the original array represents.

Then try to break it into small pieces like the example.

1.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

2.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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3.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

4. xxxxxxxxxxxxxxx xxxxxxxxxxxxxxx

xxxxxxxxxxxxxxx xxxxxxxxxxxxxxx



____X____=____ ____X____=____ ______

____X____=____ + ______

______

5. OOOOOOOOOOO OOOOOOOOOOO

OOOOOOOOOOO OOOOOOOOOOO





____X____=____ ____X____=____ ______

____X____=____ + ______

______



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6.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

7.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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8.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

9.

____X____=____ ____X____=____ ______

____X____=____ + ______

______

10.

____X____=____ ____X____=____ ______

____X____=____ + ______

______



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Farmer Fahy was rounding up his sheep when a thunderstorm came rolling in. He was not sure if he had all of

the sheep herded into the barn. He knows that he has 12 sheep. When he looked under the stall in the barn, he

counted 48 feet. Tell Farmer Fahy if he has all of his sheep, or if he needs to go back outside in the

thunderstorm to look for any that are missing.


Journal Question

What are we doing with number when we divide? Write a journal entry as if

you were trying to explain division to another student. Use examples.


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Determine the missing number in these division problems by using multiplication.

1. 2.


18

__

x,÷

3

24

__

x,÷

2


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3. 4.

5. 6.


36

__

x,÷

4

12

__

x,÷

2

40

__

x,÷

4

21

__

x,÷

7


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7. 8.

9. 10.


15

5

x,÷

__

35

5

x,÷

__

32

__

x,÷

4

12

4

x,÷

__


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Name _______________________ Date __________________

Determine the missing number in these division problems by using multiplication.

1. 2.

3. 4.


42

__

x,÷

10

__

x,÷

10

60

6

x,÷

__

12

6

x,÷

__


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5. 6.

7. 8.


32

__

x,÷

8

36

6

x,÷

__

48

12

x,÷

__

18

3

x,÷

__


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9. 10.

11. 12.


18

__

x,÷

2

60

5

x,÷

__

56

__

x,÷

81

x,÷

__


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Juan is having his birthday party at the amusement park. He and his friends have broken up into two equal

groups of four, so that their parents can chaperone them easily. His mom has bought a total of 72 ride tickets

for Juan and each of his friends. How many tickets will each group get? Use pictures, mathematical operations,

and words to explain your answer.


Journal Question

If you had to explain how to multiply to a 2nd

grader, how would you do it? Provide examples so that

they can understand.

Grade 3 - Lesson 4 Golden Problem

grade 3 - newark public...

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