1. Properties Day 1
Algebra 1 part 1

2. Do now
Why is the sky blue?
Which came first, the chicken or the egg?

3. What are properties? 4 4 2 x 0 = ___ 4 x 1 = ___ 4 + 0 = ___
true
In math, ________________ are statements that are _________ for any numbers.
For example: 4 4
2 x 0 = ___
4 x 1 = ___
4 + 0 = ___
Property of Zero
Identity Property of Multiplication
Identity Property of Addition

4. Inverse property 8 + (-8) = 0 11 + (-11) = 0 -23 + (23) = 0
Make this number zero
Make this number one
(using multiplication)
8 + (-8) = 0
11 + (-11) = 0
-23 + (23) = 0
8 x (1/8) = 1
11 x (1/11) = 1
-23 x (-1/23) = 1
Inverse Property of Addition
Inverse Property of Multiplication

5. Game face! 8 + 7 = -12 x 1 = 3 + -4 = 2 x 3 = -10 x -2 = 7 + 8 =
Team 1
Team 2
8 + 7 =
-12 x 1 = =
2 x 3 =
-10 x -2 =
7 + 8 =
1 x -12 = =
3 x 2 =
-2 x -10 =
Commutative Property of Multiplication
Commutative Property of Addition

6. Challenge round My Answer is: 14 What was my problem?
(8 + 8) – 2
-1 x (4 x 3)
8 + (8 – 2)
(-1 x 4) x 3
My Answer is: -12
What was my problem?
Associative Property of Addition
Associative Property of Multiplication

7. Distribution Property

8. Examples – Name that property!
Class example 1
Class example 2
7 x (1/7) = 1
7 x 1 = 7
Inverse Property of Multiplication
Identity Property of Multiplication

9. Examples – name that property
Class example 3
Class example 4
-45 + (45) = 0
2 + 3 = 3 + 2
Inverse Property of Addition
Commutative Property of Addition

10. Examples – Name that property!
Student example 1
student example 2
4 x (2 x 3) = (4 x 2) x 3
4 x (2 x 3) = 4 x (3 x 2)
Associative Property of Multiplication
Commutative Property of Multiplication

11. Examples – name that property
Student example 3
Student example 4
-45 + (0) = -45
7(2 + 3) =
Identity Property of Addition
Distributive Property

12. Exit ticket
Which property of real numbers justifies the work shown?
(7 + 12) + 18 = 7 + ( )
Commutative Property of Addition
Identity Property of Addition
Associative Property of Addition
Distributive Property