Untitled

Hooray

for Arrays!

3rd

Grade

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Table of Contents

Hooray for Arrays

Hooray for Arrays: A Poem About Groups

Hooray for Arrays: A Mini Reference Guide

Hooray for Arrays: What Do You Say, Let's Make an Array! *

Hooray for Arrays: Repeat Addition *

Hooray for Arrays: Multiplication Fact Practice *

Hooray for Arrays: Equal Group Problems *

Hooray for Arrays: Repeated Addition and Multiplication *

Hooray for Arrays: Multiplication Word Problems (Part One) *

Hooray for Arrays: Multiplication Word Problems (Part Two) *

Hooray for Arrays: Multiplication Word Problems (Part Three) *

Hooray for Arrays: Multiplication *

Certificate of Completion

Answer Sheets

* Includes Answer Sheet

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*

sniff

*

GROUPS

Groups of objects are really quite neat,

from legs on a spider to your hands and your feet;

What can you find in a pair of two?

Your socks and your arms and even your shoe;

And what might you see in a group of 3?

Sides on a triangle or birds in a tree.

From a four-legged dog to the wheels on a car,

equal groups of 4 can be found near or far;

Just step outside and take a good look around,

You’ll certainly see that equal groups abound.

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DIRECTIONS

MINI

MULTIPLICATION

VOCAB

BOOK

MULTIPLICATION:

KEY INFORMATION

Factors are multiplied

together to ﬁnd the

product or total, for

example;

KEYWORD #1

PRODUCT:

The result when two

numbers are multiplied

together.

KEYWORD #4

FACTOR:

One of two or more

numbers that are

multiplied together to ﬁnd

a product.

KEYWORD #3

REPEATED ADDITION:

Adding the same number

multiple times in order to

ﬁnd the total, for example;

KEYWORD #2

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Number of

groups

Number of objects

in each group

Total number

of objects

What do you Say, Let’s Make an Array!

Directions

Review what each factor represents in this multiplication sentence:

Color in each array. The ﬁrst array has been colored in for you.

Example

2

x

4=8

FACTOR 1

FACTOR 2

3

x

5 = 15

FACTOR 1

FACTOR 2

1

x

2=2

FACTOR 1

FACTOR 2

4

x

4 = 16

FACTOR 1

FACTOR 2

4

x

5 = 20

FACTOR 1

FACTOR 2

6

x

5 = 30

FACTOR 1

FACTOR 2

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Repeated Addition

You can use repeated addition to ﬁnd the total number of objects in equal groups.

For example, look at this problem.

Since there are 3 equal groups of 2, the repeated addition sentence is: 2 + 2 + 2 = 6.

=

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1

x 3

12

x 2

4

x 2

3

x 2

12

x 4

5

x 2

7

x 9

5

x 8

6

x 2

6

x 10

7

x 11

5

x 4

6

x 8

6

x 12

8

x 6

8

x 3

7

x 10

6

x 5

5

x 11

6

x 4

7

x 1

7

x 12

8

x 10

6

x 9

7

x 2

5

x 6

7

x 3

6

x 3

8

x 2

5

x 7

5

x 12

7

x 0

6

x 11

8

x 2

8

x 1

7

x 4

6

x 0

5

x 8

9

x 2

12

x 7

10

x 4

11

x 3

10

x 8

11

x 4

9

x 5

9

x 0

9

x 12

10

x 3

11

x 5

10

x 11

11

x 10

12

x 2

12

x 8

12

x 9

9

x 12

9

x 1

10

x 4

11

x 11

12

x 5

9

x 11

11

x 3

11

x 6

11

x 7

12

x 6

9

x 3

8

x 3

9

x 6

10

x 2

10

x 9

10

x 5

9

x 8

12

x 0

12

x 12

11

x 6

10

x 10

9

x 9

12

x 3

12

x 11

6

x 7

7

x 4

5

x 3

7

x 2

8

x 4

5

x 5

8

x 8

9

x 0

3

x 4

8

x 1

1

x 2

7

x 3

0

x 2

6

x 3

5

x 4

10

x 3

4

x 3

9

x 3

2

x 3

8

x 2

11

x 1

7

x 0

11

x 3

2

x 4

6

x 1

10

x 4

5

x 3

1

x 4

0

x 3

7

x 4

3

x 1

6

x 4

2

x 1

10

x 2

8

x 4

4

x 0

9

x 4

8

x 3

5

x 2

11

x 4

0

x 1

12

x 3

Multiplication

Fact Practice

0 to 4

Multiplication

Fact Practice

5 to 8

Multiplication

Fact Practice

9 to 12

Multiplication Fact Practice

Directions

Memorizing your multiplication facts is an important skill to practice. Use this multiplication

table to review your facts.

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Equal Group Problems

Directions

In the problems below, use repeated addition and multiplication to ﬁnd the total number

of objects.

Example

Repeated addition sentence:

There are 3 equal groups of 5.

Now, write the multiplication sentence:

Find the total number of pieces of candy in the candy jars.

Addition sentence:

There are 6 equal groups of 3.

Now, write the multiplication sentence:

Repeated addition sentence:

4 + 4 + 4 + 4 + 4 = 20 legs

There are 5 equal groups of 4.

Now, write the multiplication sentence: 5 x 4 = 20 legs

Now you try!

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Repeated Addition and Multiplication

Multiplication can be thought of as addition of the same number multiple times in order

to ﬁnd a total. This is also called repeated addition. Both multiplication and repeated

addition are used to ﬁnd the total number of objects in equal groups.

For example, if you have 3 trays with 10 cookies on each tray, you can ﬁnd the total

number of cookies with this repeated addition sentence:

10 + 10 + 10 = 30 cookies

Practice writing both addition and multiplication sentences while solving this

word problem:

Betty the baker signed up to bring 40 brownies to her school’s bake sale. Figure out if Betty

baked enough brownies by ﬁnding the total number of brownies in each batch. Batch #1 has

been ﬁgured out for you.

Did Betty have enough brownies for the bake sale?

Show your work on the back of this paper.

Since there are 3 equal groups

of 10, you could also solve this

problem with a multiplication

sentence:

Number of

groups

Number of objects

in each group

Total number

of objects

BATCH #1

Repeated addition sentence:

Multiplication sentence:

Repeated addition sentence:

Multiplication sentence:

Repeated addition sentence:

Multiplication sentence:

BATCH #2

BATCH #3

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Multiplication Word Problems

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Tiﬀany wants to make 6 batches of cookies. She will need 2 cups of sugar for each

batch of cookies. How many cups of sugar will Tiﬀany need?

Tommy’s mom asked him to help her clean the house. His mom has asked him to

clean his bedroom, the laundry room, and the kitchen. He estimates that it is going

to take him 10 minutes to clean each room. About how many minutes will it take

Tommy to help his mom clean the house?

Addie visited the elephant exhibit at the zoo. If there were 7 elephants in the

exhibit, how many elephant legs did Addie see?

strategy:

answer:

strategy:

answer:

strategy:

answer:

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Multiplication Word Problems (Part 2)

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Brittany ate 8 oranges in one week. Each orange had 6 slices. How many orange

slices did Brittany eat altogether?

Devon collected 5 bags of marbles. Each bag had 12 marbles in it. How many

marbles did Devon collect altogether?

Hillary read 7 chapters in her book on Tuesday. Each chapter had 6 pages in it. How

many pages did Hillary read on Tuesday?

strategy:

answer:

strategy:

answer:

strategy:

answer:

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Multiplication Word Problems (Part 3)

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Lindsay baked 4 apple pies for her school bake sale. Each pie was cut into 6 slices.

How many slices total did Lindsay have?

Now, it’s your turn to write a word problem! You have 4 equal groups of 8 objects.

Choose your object and write your word problem on the lines provided. Then,

solve your problem. Remember to show your work.

strategy:

answer:

strategy:

answer:

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Array Multiplication

Directions

Farmer Gordon wants to know how many heads of lettuce he has in his garden. Instead

of counting, he is going to show you a faster way of ﬁnding the total.

Example

Instead of counting or adding the heads of lettuce, Farmer Gordon wrote the following

multiplication sentence:

6 x 5 = 30 heads of lettuce

Now you try! Find out the total number of windows on this building.

How many rows of windows do you see?

How many windows per row?

Write a multiplication sentence for this array and solve:

6 rows

5 heads of lettuce per row

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



DIPLOMA

Hereby bestowed upon

for excellence in

comp let ion of



8





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Answer Sheets

Hooray for Arrays

Hooray for Arrays: What Do You Say, Let's Make an Array!

Hooray for Arrays: Repeat Addition

Hooray for Arrays: Multiplication Fact Practice

Hooray for Arrays: Equal Group Problems

Hooray for Arrays: Repeated Addition and Multiplication

Hooray for Arrays: Multiplication Word Problems (Part One)

Hooray for Arrays: Multiplication Word Problems (Part Two)

Hooray for Arrays: Multiplication Word Problems (Part Three)

Hooray for Arrays: Multiplication

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Number of

groups

Number of objects

in each group

Total number

of objects

What do you Say, Let’s Make an Array!

Directions

Review what each factor represents in this multiplication sentence:

Color in each array. The ﬁrst array has been colored in for you.

Example

2

x

4=8

FACTOR 1

FACTOR 2

3

x

5 = 15

FACTOR 1

FACTOR 2

1

x

2=2

FACTOR 1

FACTOR 2

4

x

4 = 16

FACTOR 1

FACTOR 2

4

x

5 = 20

FACTOR 1

FACTOR 2

6

x

5 = 30

FACTOR 1

FACTOR 2

Answer Sheet

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Repeated Addition

You can use repeated addition to ﬁnd the total number of objects in equal groups.

For example, look at this problem.

Since there are 3 equal groups of 2, the repeated addition sentence is: 2 + 2 + 2 = 6.

=

3 + 3 + 3 = 9

8 + 8 + 8 + 8 + 8 = 45

9 + 9 + 9 = 27

3 + 3 + 3 +3 = 12

6 + 6 = 12

2+2+2+2

+2+2+2=14

Answer Sheet

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1

x 3

12

x 2

4

x 2

3

x 2

12

x 4

5

x 2

7

x 9

5

x 8

6

x 2

6

x 10

7

x 11

5

x 4

6

x 8

6

x 12

8

x 6

8

x 3

7

x 10

6

x 5

5

x 11

6

x 4

7

x 1

7

x 12

8

x 10

6

x 9

7

x 2

5

x 6

7

x 3

6

x 3

8

x 2

5

x 7

5

x 12

7

x 0

6

x 11

8

x 2

8

x 1

7

x 4

6

x 0

5

x 8

9

x 2

12

x 7

10

x 4

11

x 3

10

x 8

11

x 4

9

x 5

9

x 0

9

x 12

10

x 3

11

x 5

10

x 11

11

x 10

12

x 2

12

x 8

12

x 9

9

x 12

9

x 1

10

x 4

11

x 11

12

x 5

9

x 11

11

x 3

11

x 6

11

x 7

12

x 6

9

x 3

8

x 3

9

x 6

10

x 2

10

x 9

10

x 5

9

x 8

12

x 0

12

x 12

11

x 6

10

x 10

9

x 9

12

x 3

12

x 11

6

x 7

7

x 4

5

x 3

7

x 2

8

x 4

5

x 5

8

x 8

9

x 0

3

x 4

8

x 1

1

x 2

7

x 3

0

x 2

6

x 3

5

x 4

10

x 3

4

x 3

9

x 3

2

x 3

8

x 2

11

x 1

7

x 0

11

x 3

2

x 4

6

x 1

10

x 4

5

x 3

1

x 4

0

x 3

7

x 4

3

x 1

6

x 4

2

x 1

10

x 2

8

x 4

4

x 0

9

x 4

8

x 3

5

x 2

11

x 4

0

x 1

12

x 3

Multiplication

Fact Practice

0 to 4

Multiplication

Fact Practice

5 to 8

Multiplication

Fact Practice

9 to 12

Multiplication Fact Practice

Directions

Memorizing your multiplication facts is an important skill to practice. Use this multiplication

table to review your facts.

3 0 36 24 10 44 0 36

3220224328024

8 0 33 8 6 40 15 4

11166361230206

48

0 12 8 2 21 0 18

6425321415284210

63 40 12 60 77 20 48 72

482470305524784

80 54 14 30 21 18 16

35

6006616828040

18 84 40 33 80 44 45 0

10830551101102496108

108

9 40 121

60 99 33 66

7772272454209050

72 0 144

66 100 81 36 132

Answer Sheet

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Equal Group Problems

Directions

In the problems below, use repeated addition and multiplication to ﬁnd the total number

of objects.

Example

Repeated addition sentence:

There are 3 equal groups of 5.

Now, write the multiplication sentence:

Find the total number of pieces of candy in the candy jars.

Addition sentence:

There are 6 equal groups of 3.

Now, write the multiplication sentence:

Repeated addition sentence:

4 + 4 + 4 + 4 + 4 = 20 legs

There are 5 equal groups of 4.

Now, write the multiplication sentence: 5 x 4 = 20 legs

Now you try!

5 + 5 + 5 = 15 petals

3 + 3 + 3 + 3 + 3 + 3 = 18 pieces of candy

3 x 6 = 18 pieces of candy

5 x 3 = 15 petals

Answer Sheet

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Repeated Addition and Multiplication

Multiplication can be thought of as addition of the same number multiple times in order

to ﬁnd a total. This is also called repeated addition. Both multiplication and repeated

addition are used to ﬁnd the total number of objects in equal groups.

For example, if you have 3 trays with 10 cookies on each tray, you can ﬁnd the total

number of cookies with this repeated addition sentence:

10 + 10 + 10 = 30 cookies

Practice writing both addition and multiplication sentences while solving this

word problem:

Betty the baker signed up to bring 40 brownies to her school’s bake sale. Figure out if Betty

baked enough brownies by ﬁnding the total number of brownies in each batch. Batch #1 has

been ﬁgured out for you.

Did Betty have enough brownies for the bake sale?

Show your work on the back of this paper.

Since there are 3 equal groups

of 10, you could also solve this

problem with a multiplication

sentence:

Number of

groups

Number of objects

in each group

Total number

of objects

BATCH #1

Repeated addition sentence:

Multiplication sentence:

Repeated addition sentence:

Multiplication sentence:

Repeated addition sentence:

Multiplication sentence:

BATCH #2

BATCH #3

4 + 4 + 4 = 12

5 + 5 + 5 + 5 = 20

15 + 12 + 20 = 47 brownies

5 x 4 = 20

Ye s

4 x 3 = 12

Answer Sheet

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Multiplication Word Problems

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Tiﬀany wants to make 6 batches of cookies. She will need 2 cups of sugar for each

batch of cookies. How many cups of sugar will Tiﬀany need?

Tommy’s mom asked him to help her clean the house. His mom has asked him to

clean his bedroom, the laundry room, and the kitchen. He estimates that it is going

to take him 10 minutes to clean each room. About how many minutes will it take

Tommy to help his mom clean the house?

Addie visited the elephant exhibit at the zoo. If there were 7 elephants in the

exhibit, how many elephant legs did Addie see?

strategy:

answer:

strategy:

answer:

strategy:

answer:

12 cups

30 minutes

28 legs

Answer Sheet

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Multiplication Word Problems (Part 2)

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Brittany ate 8 oranges in one week. Each orange had 6 slices. How many orange

slices did Brittany eat altogether?

Devon collected 5 bags of marbles. Each bag had 12 marbles in it. How many

marbles did Devon collect altogether?

Hillary read 7 chapters in her book on Tuesday. Each chapter had 6 pages in it. How

many pages did Hillary read on Tuesday?

strategy:

answer:

strategy:

answer:

strategy:

answer:

48 slices

60 marbles

42 pages

Answer Sheet

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Multiplication Word Problems (Part 3)

Directions

Use one of the following strategies when solving the following word problems:

Create an Array

Skip Counting

Repeated Addition

Multiplication Sentence

Write the strategy you used on the line provided and show your work.

Lindsay baked 4 apple pies for her school bake sale. Each pie was cut into 6 slices.

How many slices total did Lindsay have?

Now, it’s your turn to write a word problem! You have 4 equal groups of 8 objects.

Choose your object and write your word problem on the lines provided. Then,

solve your problem. Remember to show your work.

strategy:

answer:

strategy:

answer:

24 slices

32 items

Answer Sheet

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Array Multiplication

Directions

Farmer Gordon wants to know how many heads of lettuce he has in his garden. Instead

of counting, he is going to show you a faster way of ﬁnding the total.

Example

Instead of counting or adding the heads of lettuce, Farmer Gordon wrote the following

multiplication sentence:

6 x 5 = 30 heads of lettuce

Now you try! Find out the total number of windows on this building.

How many rows of windows do you see?

How many windows per row?

Write a multiplication sentence for this array and solve:

6 rows

5 heads of lettuce per row

5

4

5 x 4 = 20

Answer Sheet

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