Multiplication facts
Arrays, Equal groups and repeated addition
The distributive property
Commutative property & Grouping
Associative property
100

3 x 4 = 

12

100

Draw an array for 2 x 3

2 rows of 3

100

Ms. Damir finds 8 x 3 by breaking 8 apart.

Complete the equation.

(3 x 3) + (____ x 3) = ______

(3 x 3) + (5 x 3) = 9 + 15 = 24

100

If 3 x 9 = 27

then 9 x ___ = 27

9 x 3

100

3 x 70 = (3 x ___) x 10


3 x 70 = (3 x 7) x 10

200

5 x 6 = 

30
200

Draw an array for 4 x 4

4 rows of 4

200

Rowen finds 7 x 7 by breaking 7 apart.

Complete the equation.

(5 x 7) + ( _____ x 7) = ______

(5 x 7) + ( 2 x 7) = 35 + 14 = 49

200

If 4 x 6 = 24

Then 6 x ___ = 24

4

200

5 x 30 = 10 x (___ x 5)

5 x 30 = 10 x (3 x 5)

300

7 x 7 = 

49

300

Draw equal groups for 4 x 5

4 groups of 5

300

Find 6 x 7 by breaking one factor apart

Answers vary.

Possibly (7 x 3) + (7 x 3) = 21 + 21 = 42

300

Show one way to find 5 x 4 x 2 using parentheses 

Answers vary

Possibly:

(5 x 4) x 2 = 20 x 2 = 40

300

There are 2 groups of 40 people walking on a trail. Each person walks 5 miles. Use the associative property to solve for how many miles all the people walk.

2 x 40 x 5 = (2 x 5) x 40 = 10 x 40 = 400

400

10 x 7 = 

70

400

Write a repeated addition equation for 5 x 3

3 + 3 + 3 + 3 + 3 = 15

400

Dez breaks 6 x 8 into (6 x 4) + (6 x 4) to solve the problem. What is another way Dez could break apart 6 x 8? 

Answers vary

Possibly:

(3 x 8) + (3 x 8)

(2 x 8) + (4 x 8)

etc. 

400

Show one way to find 6 x 3 x 2 using parentheses 

Answers vary

Possibly:

(2 x 6) x 3 = 12 x 3 = 36

400

Which expressions can be used to find the product of 3, 5, and 6

A. (3 x 5) x 6

B. 3 x (5 x 6)

C. (3 + 5) x 6

D. 15 x 6


A, B, D


500

9 x 8 = 

72

500

Draw an array for 5 x 4

5 rows of 4

500

Vivienne has 5 books. Each book has 20 pages. Use the distributive property to solve for how many pages there are total (5 x 20).

Answers vary:

Possible answers:

(5 x 10) + (5 x 10)

500

If 5 x (3 x 3) = 45 

Then 5 x ___ = 45 

5 x 9 = 45

500

Use the associative property to solve 4 x 50

4 x 5 x 10 = 20 x 10 = 200

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