1. Indicator 1.7
I can use commutative, associative, distributive, identity and inverse properties to simplify and perform computations.

2. Why is this important for you to know?
The properties are rules that guide us in doing addition and multiplication problems.
The properties are a base for future problems when working with equations.
Example: Playing 4 - SQUARE

3. Vocabulary
Associative Property- The _________ of the numbers does not change the ______ of an addition problem or the product of a multiplication problem.
The order does not matter.
Example:
(2 + 3) + 4 = 3 + (2 + ___)

4. Commutative Property
The _______ of the numbers does not change the sum of an addition problem or the product of a multiplication problem.
“Melts in your mouth not is your hands” ___ and ___’s
Example: 3 x __ = 5 x __

5. Distributive Property
This property involves addition and ___________.
What does distribute mean?
Distribute the inside numbers into two groups with the ______ number.
Example:
4(5 + 3) = (4 x _) + (4 x _)

6. Identity Property
A number added to _____ or __________ by one is equal to that _______ number.
Joey x 1 = Joey
Carri + 0 = Carri
Example: 4 + __ = 4

7. Question?
Which of the following expressions illustrates how you can use the associative property of addition to solve more simply?
a c. 6 + (3 + 4)
b. (6 x 3) + 4 d. ( )

8. Question?
Each season the soccer coach records all the goals the team makes. Before today’s game, the goal total was 17. In today’s game, the team scored no goals. Which of these equations demonstrates the identity property of addition?
a. 17 x 1 = c = 17
b = 34 d = 17

9. Question? a. Equation 1 c. Equation 3 b. Equation 2 d. Equation 4
Which of the following equations demonstrates the commutative property?
Equation 1
3+2 = 2
Equation 2
1+2=2+1
Equation 3
2+0=2
Equation 4
2x1=1x4
a. Equation 1 c. Equation 3
b. Equation 2 d. Equation 4

10. Associative Property ( 6 x 3 ) x 5 = = __ __ __ __ __ __ __ __
What did we learn about the Associative Property?

11. Commutative Property 7 + 9 = = __ __ __
What did we learn about the Commutative Property?

12. Identity Property =
= __
Develop your own:
: ) x 1 = :)

13. Distributive Property
2 ( ) =
= (__ __ __) __ ( __ __ __ )
What did we learn about the Distributive Property?