Fundamentals of Multiplication

Fundamentals

of Multiplication

3rd

Grade

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Table of Contents

Fundamentals of Multiplication

Multiplication: Let's Make an Array *

Multiplication: Hop Along the Number Line (Part One) *

Multiplication: Hop Along the Number Line (Part Two) *

Multiplication: Skip Counting to Find the Total *

Multiplication: Equal Group Problems (Part One) *

Multiplication: Equal Group Problems (Part Two) *

Multiplication: Daily Specials *

Multiplication: Array Multiplication (Part One) *

Multiplication: Array Multiplication (Part Two) *

Multiplication: Star Arrays *

Multiplication: Finding the Total with Arrays *

Multiplication: Word Problems (Part One) *

Multiplication: Word Problems (Part Two) *

Multiplication: Equal Groups All Around

Certificate of Completion

Answer Sheets

* Includes Answer Sheet

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Multiplication:

Let’s Make an Array!

Review what each factor represents in this multiplication sentence:

Make an array for each multiplication problem and ll in the answer. Color in

each array.

4 x 3 =12

rows

objects in each row

total number of objects

Example: 2 x 4 = 8

4 x 4 =16

3 x 5 = 15

4 x 5 = 20

1 x 2 = 2

6 x 5 = 30

X

1.

2.

3.

4.

5.

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Multiplication:

Hop Along the Number Line to Multiply

Hoppy the frog-bot hopped up this number line to solve 3 x 5:

Example:

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

+5

1

+5

2

+5

3

x 5 =15

Directions: Hop up the number to nd the product (answer). Write your answer

on the blank space.

1. 7 x 4 = ___

2. 5 x 5 = ____

3. 11 x 2 = ____

4. 3 x 10 = ____

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

X

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Multiplication:

Hop Along the Number Line to Multiply (Part 2)

Directions: Hop along the number line to solve each multiplication problem.

The rst problem has been done for you.

Example:

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

+5

1

+5

2

+5

3

x 5 =15

1. 8 x 4 = ___

2. 9 x 7 = ____

3. 11 x 7 = ____

4. 8 x 10 = ____

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

X

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Multiplication:

Skip-Counting to nd the Total

Directions: Use skip-counting to nd the total number of objects.

Example: Count the mittens by 2’s.

2 4 6 8

Total: ___

8

Now you try!

1. Count the cogs by 3’s.

2. Count the screws by 5’s.

3. Draw 4 sh bowls with 3 goldsh in each bowl.

Total: ___

X

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Multiplication:

Equal Group Problems

Directions: Use the equal group drawings to solve the multiplication problems.

1.

5 x 3 = ___

2.

6 x 6 = ___

3.

10 x 4 = ___

4.

7 x 4 = ___

X

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Multiplication:

Equal Group Problems 2

Let’s review how to label the dierent parts of a multiplication sentence.

Directions: Before these lovely ladybugs y away, write a multiplication

sentence to solve each problem.

2 x 5 =10

# of groups

# of objects in each group

total # of objects

1. Find the total number of dots on the ladybugs.

Multiplication sentence:_____________________________

2. Find the total number of legs on the ladybugs.

Multiplication sentence: ______________________________

3. Find the total number of antennae on the ladybugs.

Multiplication sentence: _______________________________

X

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Multiplication:

Daily Specials

Directions: Write a multiplication sentence for each question.

Example: How much does it cost to buy 2 bottles of water? _____________

1. How much does it cost to buy 3 bottles of water? ____________________

2. How much does it cost to buy 4 bottles of water? ____________________

3. How much does it cost to buy 4 baskets of strawberries? __________________

4. How much does it cost to buy 5 baskets of strawberries? __________________

5. How much does it cost to buy 3 pizzas? ____________________

If you paid $12 for three bottles of water, show two ways to gure out how much

you would pay for six bottles of water. Explain your thinking.

__________________________________________________________________

$5

WATER

DAILY SPECIAL

$4

$6

2 x $4 = $8

$

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Multiplication:

Array Multiplication

Directions: Record the number of rows and columns for each array. Then, write

a multiplication sentence for the array.

Example:

1. Number of rows: ________

Number of columns: ________

Multiplication sentence: ____________

2. Number of rows: ________

Number of columns: ________

Multiplication sentence: ____________

3. Number of rows: ________

Number of columns: ________

Multiplication sentence: ____________

4. Number of rows: ________

Number of columns: ________

Multiplication sentence: ____________

Number of rows: 5

Number of columns: 3

Multiplication sentence: 5 x 3 = 15

X

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Multiplication:

Array Multiplication 2

Farmer Gordon is hosting a dinner party and wants to nd out how many heads

of lettuce he has in his garden.

Farmer Gordon wants to nd the total quickly, so he used a multiplication

sentence to nd his answer: 6 x 5 = 30 heads of lettuce

Now you try! Find out the total number of carrots in this garden.

How many rows of carrots do you see? _________________

How many carrots are in each row? ____________________

Write a multiplication sentence to nd out the total number of carrots in this

garden:

_______________________________

6 rows

5 heads of lettuce per row

X

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Multiplication:

Multiplication Arrays

Directions: Represent each problem by drawing an array.

5 x 5 = 25

7 x 4 =

8 x 3 =

3 x 3 =

2 x 6 =

8 x 4 =

5 x 3 =

4 x 3 =

2 x 5 =

6 x 4 =

7 x 2 =

7 x 5 =

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Multiplication:

Finding the Total with Arrays

An array is an arrangement of objects in columns and rows. Drawing an array

can help you solve multiplication problems.

In this array, there are 4 rows with 3 stars in each row.

There are 12 stars in total.

The multiplication sentence for this array is:

4 x 3 =12

rows

stars in each row

total # of stars

1. Number of rows: ____

Number of stars in each row: ____

Multiplication sentence: ____________

2. Number of rows: ____

Number of stars in each row: ____

Multiplication sentence: ____________

3. Number of rows: ____

Number of stars in each row: ____

Multiplication sentence: ____________

4. Number of rows: ____

Number of stars in each row: ____

Multiplication sentence: ____________

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Multiplication:

Multiplication Word Problems

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

Draw an array Draw equal groups Skip count forwards

Repeated Addition Multiplication Sentence

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

1. Tiany wants to bake 6 batches of cookies. She will need 2 cups of sugar for

each batch of cookies. How many cups of sugar will Tiany need?

Strategy: ______________________ Show work:

Answer: ______________________

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

to sweep his bedroom oor, the laundry room, and the kitchen. He estimates

that it is going to take him 10 minutes to sweep out each room. About how

many minutes will it take Tommy to help his mom clean the house?

Strategy: ______________________ Show work:

Answer: ______________________

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

exhibit, how many elephant legs did Addie see?

Strategy: ______________________ Show work:

Answer: ______________________

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Multiplication:

Multiplication Word Problems 2

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

Draw an array Draw equal groups Skip count forwards

Repeated Addition Multiplication Sentence

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

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

orange slices did Brittany eat altogether?

Strategy: ______________________ Show work:

Answer: ______________________

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

marbles did Devon collect altogether?

Strategy: ______________________ Show work:

Answer: ______________________

3) 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: ______________________ Show work:

Answer: ______________________

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Multiplication:

Equal Groups All Around

Groups of objects are really, quite neat,

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

What can you nd 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.

X

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



DIPLOMA

Hereby bestowed upon

for excellence in

comp let ion of



8

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

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

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Answer Sheets

Fundamentals of Multiplication

Multiplication: Let's Make an Array

Multiplication: Hop Along the Number Line (Part One)

Multiplication: Hop Along the Number Line (Part Two)

Multiplication: Skip Counting to Find the Total

Multiplication: Equal Group Problems (Part One)

Multiplication: Equal Group Problems (Part Two)

Multiplication: Daily Specials

Multiplication: Array Multiplication (Part One)

Multiplication: Array Multiplication (Part Two)

Multiplication: Star Arrays

Multiplication: Finding the Total with Arrays

Multiplication: Word Problems (Part One)

Multiplication: Word Problems (Part Two)

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Multiplication:

Let’s Make an Array!

Review what each factor represents in this multiplication sentence:

Make an array for each multiplication problem and ll in the answer. Color in

each array.

4 x 3 =12

rows

objects in each row

total number of objects

Example: 2 x 4 = 8

4 x 4 =16

3 x 5 = 15

4 x 5 = 20

1 x 2 = 2

6 x 5 = 30

X

1.

2.

3

.

4

.

5.

Answer Sheet

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More worksheets at www.education.com/worksheets

Multiplication:

Hop Along the Number Line to Multiply

Hoppy the frog-bot hopped up this number line to solve 3 x 5:

Example:

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

+5

1

+5

2

+5

3

x 5 =15

Directions: Hop up the number to nd the product (answer). Write your answer

on the blank space.

1. 7 x 4 = ___

2. 5 x 5 = ____

3. 11 x 2 = ____

4. 3 x 10 = ____

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

X

28

25

22

30

Answer Sheet

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Multiplication:

Hop Along the Number Line to Multiply (Part 2)

Directions: Hop along the number line to solve each multiplication problem.

The rst problem has been done for you.

Example:

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

+5

1

+5

2

+5

3

x 5 =15

1. 8 x 4 = ___

2. 9 x 7 = ____

3. 11 x 7 = ____

4. 8 x 10 = ____

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

0

1 2 3 4

5

6

7 8 9

10

11 12 13 14

15

16 17 18 19

20

21 22 23 24

25

26 27 28 29

30

31 32 33 34

35

36 37 38 39

40

41 42 43 44

45

46 47 48 49

50

51 52 53 54

55

56 57 58 59

60

61 62 63 64

65

66 67 68 69

70

71 72 73 74

75

76 77 78 79

80

X

32

63

77

80

Answer Sheet

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Multiplication:

Skip-Counting to nd the Total

Directions: Use skip-counting to nd the total number of objects.

Example: Count the mittens by 2’s.

2 4 6 8

Total: ___

8

Now you try!

1. Count the cogs by 3’s.

2. Count the screws by 5’s.

3. Draw 4 sh bowls with 3 goldsh in each bowl.

Total: ___

X

3 6 9

9

5 10 15 20

20

3 6 9 12

12

Answer Sheet

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Multiplication:

Equal Group Problems

Directions: Use the equal group drawings to solve the multiplication problems.

1.

5 x 3 = ___

2.

6 x 6 = ___

3.

10 x 4 = ___

4.

7 x 4 = ___

X

15

36

40

28

Answer Sheet

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Multiplication:

Equal Group Problems 2

Let’s review how to label the dierent parts of a multiplication sentence.

Directions: Before these lovely ladybugs y away, write a multiplication

sentence to solve each problem.

2 x 5 =10

# of groups

# of objects in each group

total # of objects

1. Find the total number of dots on the ladybugs.

Multiplication sentence:_____________________________

2. Find the total number of legs on the ladybugs.

Multiplication sentence: ______________________________

3. Find the total number of antennae on the ladybugs.

Multiplication sentence: _______________________________

X

4 x 8 = 32 dots

4 x 6 = 24 legs

4 x 2 = 8 antennae

Answer Sheet

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