SWBAT… find the GCF of whole numbers and monomials. 5/20/10

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Presentation transcript:

SWBAT… find the GCF of whole numbers and monomials. 5/20/10 Agenda WU (10 min) GCF and factoring using the distributive property (40 min) Warm-Up: 1. What is a factor? 2. How do you find the greatest common factor of 15 and 60. HW#1: Factors and GCF/ Factoring Using the Distributive Property

Quiz on Factoring Monday, 5/17 Tuesday, 5/18 Wednesday, 5/19 Thursday, 5/20 Friday, 5/21 Test Corrections Work Keys Testing ½ Day: A PLAN Testing GCF/ Factoring polynomials using the distributive property HW#1 Factoring quadratics: x2 + bx + c HW#2 Monday, 5/24 Tuesday, 5/25 Wednesday, 5/26 Thursday, 5/27 Friday, 5/28 Quiz on Factoring Quadratic Equations: x2 + bx + c = 0 HW#3 ½ Day: B Vertical Motion Model Quiz on solving quadratic eqns HW#4 ???Field Trip???

New Unit on Quadratic Functions Monday, 5/17 Tuesday, 5/18 Wednesday, 5/19 Thursday, 5/20 Friday, 5/21 ½ Day: A GCF/ Factoring polynomials using the distributive property HW#1 Factoring quadratics: x2 + bx + c HW#2 Monday, 5/24 Tuesday, 5/25 Wednesday, 5/26 Thursday, 5/27 Friday, 5/28 Quiz on Factoring Quadratic Equations: x2 + bx + c = 0 HW#3 ½ Day: B Vertical Motion Model Quiz on solving quadratic eqns ???Field Trip??? Monday, 5/31 Tuesday, 6/1 Wednesday, 6/2 Thursday, 6/3 Friday, 6/4 No Classes Memorial Day New Unit on Quadratic Functions Monday, 6/7 Tuesday, 6/8 Wednesday, 6/9 Thursday, 6/10 Friday, 6/11 Quadratic Functions Final will be on Tuesday, June 14, 2010 (covering all material from Semester 2, starting from slope!)

Q: What are the factors of 15? Q: What is the greatest common factor (GCF) of 15 and 60? A: 15

Greatest Common Factor (GCF) of Monomials To find the GCF of two or more monomials: Find the factors of each number Write all powers of variables as products Circle the greatest common number Circle the common variables

Directions: Find the GCF of each pair of monomials. 1. 6xy3, 18yz 6xy3: 1, 2, 3, 6, x, y, y, y 18yz: 1, 2, 3, 6, 9, 18, y, z GCF = 6y

Directions: Find the GCF of each pair of monomials. 2. 11a2b, 21ab 11a2b: 1, 11, a, a, b 21ab: 1, 3, 7, 21, a, b GCF = ab 3. 7gh, 11mp 7gh: 1, 7, g, h 11mp: 1, 11, m, p GCF = 1

Factoring Using the Distributive Property Directions: Use the distributive property to factor each polynomial. 1. 20z2 + 35z Step 1. Take out GCF 5z(4z) + 5z(7) Step 2. Rewrite each term using the GCF 5z(4z + 7) Step 3. Distributive Property ALWAYS CHECK USING THE DISTRIBUTIVE PROPERTY

Directions: Use the distributive property to factor each polynomial. 2. 27y2 + 18y Step 1. Take out GCF 9y(3y) + 9y(2) Step 2. Rewrite each term using the GCF 9y(3y + 2) Step 3. Distributive Property 3. 15w – 3v 3(5w) – 3(v) 3(5w – v) 4. -4a2b – 8ab2 + 2ab 2ab(-2a) – 2ab(4b) + 2ab(1) 2ab(-2a – 4b + 1)