Number Properties PreAssessment Which of the following number
Number Properties: Pre-Assessment Which of the following number properties are shown below—, Commutative, Associative, Distributive, or the Identity Property? [You can just write C, A, D or I. ] 1. 2. 3. 4. 5. 6. 7. 3 x (2 x 6) = (3 x 2) x 6 6+0=6 7 + 18 = 18 + 7 4 x (8 + 5) = 4 x 8 + 4 x 5 10 x 1 = 10 (5 + 1) + 9 = 5 + (1 + 9) 7 x 1 x 2=2 x 1 x 7 A - Associative I - Identity C- Commutative D- Distributive I- Identity A- Associative C- Commutative
EQ: How can I use number properties to simplify expressions? Number Properties Standard: MGSE 6. EE. 3 Apply the properties of operations to generate equivalent expressions.
Number Properties • What? Today we will review the Commutative, Associative, Distributive and Identity Properties. • Why? They can help us simplify, and solve mathematical equations and inequalities. • Connection to previous material? You may have already learned how to use the properties with numeric expressions, but not with algebraic expressions.
Vocabulary numeric 5 x 8=8 x 5 2( 1 + 3) = 2 + 6 algebraic a∙b=b ∙a 2 ( a + 3 ) = 2 a + 6
Create a four door book
Post-Assessment Use one or more properties to rewrite the following expressions without the parentheses. 1. 2 + (r + 4) 2. 2(y + 1) 3. 5 • (c • 8) Find the value of y that makes the statement true. 4. 2(4 + 6) = (y • 4) + (y • 6) 5. 4(3 y + 6) = (4 • 15) + (4 • 6)
Post-Assessment 1. 2 + (r + 4) commutative 2 + (4 + r) associative (2 + 4) +r 6+r 2. 2(y + 1) distributive 2 y + 2 3. 2 y + 2 ∙ 1 5 • (c • 8) commutative 5 (8 x c) associative (5 x 8) x c 40 c 4. 5. 2(4 + 6) = (y • 4) + (y • 6) 2 4(3 y + 6) = (4 • 15) + (4 • 6) 5
- Slides: 13