1. Warm up #2 Ch 1: SIMPLIFY if possible Try These 1 2 3 4 5

2. Warm-Up #2 Ch 1: SIMPLIFY if possible Answers 1 2 3 4 5

3. We will write equivalent expression using the properties

4. Vocabulary: Equivalent Expression: Expressions that have equal values for the same replacement values of their variables

5. Commutative Commutative Properties Multiplication 3 8 = 8 3 We can change the order when multiplying without affecting the product. Addition 7 + 3 = 3 + 7 We can change the order when adding without affecting the sum.

6. Commutative Commutative Properties Subtraction ??  7 - 3 = 3 – 7 ?? Commutative Property does NOT apply to subtraction. Division ??  3 ÷ 8 = 8 ÷ 3 ?? Commutative Property does NOT apply to division.

7. To commute means to move The news talks about the daily commute on the freeway. Think about how the cars move this will help you to remember commutative property is when the numbers move!

8. Commutative Property Addition Multiplication + + =

9. Write an equivalent expression using the commutative prop 1. 7 + 11 2. 3 +x 3. 5y

10. It can help you to do more simple calculations

11. For Example: 200 264

12. Mental Math 72 8

13. Identity Identity Properties Addition 7 + 0 = 7 When zero is added to any number, the sum is the same number. Multiplication 9 1 = 9 When any number is multiplied by 1, the product is the same number.

14. Identity is who you are Same with numbers. We want to be able to do an operation (such as +0 or mult by 1) and get the same thing back, its identity

15. (Using the Identity Property of Multiplication) Do you reduce this???

16. Answer is: NO!!!! Usually we reduce everything! We reduce when the directions say to: 1. Simplify 2. Evaluate 3. Solve 4. Calculate (add, sub, mult, divide) When the directions say to write an equivalent expression we do not reduce

18. The Associative Property (a + b) + c = a + (b + c) (5 + 2) + 3 = 5 + (2 + 3) ( Parenthesis ) around different pairs of numbers

19. The Associative Property (a b) c = a (b c) (2 3) 5 = 2 (3 5) ( Parenthesis ) around different pairs of numbers

20. Associative: To associate ( + ) + (+ + )

21. Assignment: Page 14 (1 – 14 ) all Page 22 (31-34) all