MATH PROPERTIES LESSON OBJECTIVE: To identify and use various math properties. STANDARD: MCC6.EE.3 – Simplify & evaluate expressions using various math properties.

Adding ZERO does not change the answer. Identity Property of Addition Which Property? 17 + 0 = 17 When zero is added to any number, the zero DOES NOT change the identity of the number. Adding ZERO does not change the answer. Identity Property of Addition

29 - 0 = 29 Identity Property of Subtraction Which Property? When zero is subtracted from any number, the zero DOES NOT change the identity of the number. Subtracting ZERO does not change the answer. Identity Property of Subtraction

8 + (2 + 7) = (8 + 2) + 7 Associative Property of Addition Which Property? 8 + (2 + 7) = (8 + 2) + 7 The way the #’s are grouped together may be changed without changing the answer. The ( ) move around, but the #’s do not. Associative Property of Addition

(2 • 3) • 4 = 2 • (3 • 4) Associative Property of Multiplication Which Property? (2 • 3) • 4 = 2 • (3 • 4) The way the #’s are grouped together may be changed without changing the answer. The ( ) move around, but the #’s do not. Associative Property of Multiplication

6 + 5 + 4 = 6 + 4 + 5 Commutative Property of Addition Which Property? 6 + 5 + 4 = 6 + 4 + 5 #’s can be move around without changing the answer. The #’s move around! Commutative Property of Addition

4 • 2 = 2 • 4 Commutative Property of Multiplication Which Property? 4 • 2 = 2 • 4 #’s can be moved around without changing the answer. The #’s move around. Commutative Property of Multiplication

The product of any # and 0 is always Zero Property of Multiplication Which Property? 4 (0) = 0 The product of any # and 0 is always that ZERO. Multiplying by 0. Zero Property of Multiplication

5 • 1 = 5 Identity Property of Multiplication Which Property? The product of any # and 1 is always that number. Multiplying by 1. Identity Property of Multiplication

IDENTIFY THE PROPERTY SHOWN IN EACH EXAMPLE 5 + 0 = 5 9 + 8 = 8 + 9 8 (6 x 2) = 8(6) + 8(2) 4 (1) = 4 7 (56) = 7(50) + 7(6) 16.57 x 0 = 0 (14 + 17) + 3 = 14 + (17 + 3) 4 + 8 + 16 = 4 + 16 + 8

WARM UP VERBAL PHRASES PROPERTIES Turn each verbal phrase into a math expression. The product of seven and a number Kim’s weight decreased by 15 pounds Twice a number increased by 13 The sum of a number and 45 PROPERTIES Name the property shown by each statement 22 + 0 = 22 (a) Associative Prop. of + 51 • 1 = 51 (b) Identity Prop. of + 8 + (2 + y) = (8 + 2) + y (c) Commutative Prop. of + 4 • (6 • 3) = (4 • 6) • 3 (d) Zero Property 0 (b) = 0 (e) Identity Prop. of x