5-Min Check 4 minutes Factor. 1) 2x2 + 4x - 6 2) 3x2 – 21x + 36

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Presentation transcript:

5-Min Check 4 minutes Factor. 1) 2x2 + 4x - 6 2) 3x2 – 21x + 36 Pair Share #5 5) Write a short paragraph about 1 thing you learned about factoring. Then write about 1 thing you are still having trouble with.

Differences of Two Squares Objectives: Students learn to recognize a difference of two squares and factor a difference of two squares completely. Mastery is 80% or better on 5-min checks and Indy work.

Difference of Two Squares-Skill Dev For a binomial to be a difference of two squares, two conditions must be true: 1) There must be a minus sign between the two terms. 2) There must be two terms, both perfect squares. x2 - 36 x2 - 9 x2 - 16 4x2 - 25 x2 - 4 x2 - 1 x2 - 81

Example 1-Skill Develop State whether each expression is a difference of two squares. a) x2 - 100 b) x2 + 25 c) 4x2 - 9 d) 2x2 - 36 e) -49 + x2

Example 2- Skill Develop Factor. x2 - 16 ( )( ) x + 4 x - 4 Note***In the final answer the factors are the same except one is positive and the other negative. This is always true w a difference of Squares……….why?

Example 3- Skill Develop Factor. x2 - 49 ( )( ) x + 7 x - 7

Guided Practice Factor. 1) x2 - 4 2) x2 - 64 3) x2 - 1 In order to be a difference of squares……

Example 4- Guided Pract Factor. 25x2 - 4 ( )( ) 5x + 2 5x - 2

Example 5- Guided Pract Factor. 16x2 – 49y2 ( )( ) 4x + 7y 4x - 7y

Example 6-Think…Ink…Share Factor. 81x4 – 144      

Practice- CFU Factor. 1) 4x2 - 25 2) 36x2 – 64y2 3) 49x4 - 1   2) 36x2 – 64y2   3) 49x4 - 1   4) 16m4 – n8   PAIR SHARE In factoring all Polynomials there are operations performed across the board. In your own words walk me through the steps in factoring any polynomial…binomial, trinomial, polynomial…… Will all Diff of Squares start off as Binomials…..explain?

Example 7 Factor. 32x2 – 50y2 2( ) 16x2 – 25y2 2( )( ) 4x + 5y 4x - 5y

Practice- Indy CFU Factor. 1) 27x2 – 48   2) 5x4 - 80  

What was the Objective? Objectives: Students learn to recognize a difference of two squares and factor a difference of two squares completely. Mastery is 80% or better on 5-min checks and Indy work. What was the Objective?

Homework HW PDF Online Quiz Tomorrow Share Out Tell me what today’s objective(s) was, 2 things you learned and something you still don’t quite get.