1. Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality. SOL: A.4b Designed by Skip Tyler, Varina High School

2. Commutative Property Commutative means that the order does not make any difference. a + b = b + aa b = b a Examples 4 + 5 = 5 + 4 2 3 = 3 2 The commutative property does not work for subtraction or division.

3. Please select a Team. 1.Boys 2.Girls 1234567891011121314151617181920 212223242526272829303132

4. Associative Property Associative means that the grouping does not make any difference. (a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 3) 4 = 2 (3 4) The associative property does not work for subtraction or division.

5. Name the property 1) 5a + (6 + 2a) = 5a + (2a + 6) commutative (switching order) 2) 5a + (2a + 6) = (5a + 2a) + 6 associative (switching groups) 3) 2(3 + a) = 6 + 2a distributive

6. Which property would justify rewriting the following expression without parentheses? 3(2x + 5y) 1234567891011121314151617181920 212223242526272829303132 1.Associative property of multiplication 2.Distributive property 3.Addition property of zero 4.Commutative property of multiplication

7. Which property would justify the following statement? 8x + 4 = 4 + 8x 1234567891011121314151617181920 212223242526272829303132 1.Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition

8. Which property would justify the following statement? 8 + (2 + 6) = (8 + 2) + 6 1234567891011121314151617181920 212223242526272829303132 1.Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition

9. Team Scores 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5

10. Participant Scores 0Participant 10Participant 11 0Participant 20Participant 12 0Participant 30Participant 13 0Participant 40Participant 14 0Participant 50Participant 15 0Participant 60Participant 16 0Participant 70Participant 17 0Participant 80Participant 18 0Participant 90Participant 19 0Participant 100Participant 20