Reflection: Intervention and Extension Factoring Day 2 of 2 - Section 2: Investigation

 

I noticed this year that once students had factored and were ready to find the x-intercepts, they were eager to share the shortcut of just taking the "opposite" of the number that was in the binomial.  For example, if a quadratic factored to (x-2)(x+5), they want to jump right to x = 2 and x = -5 by just looking at their factors. I found it important to bring out that this "trick" would not always work and it was important to stress the idea that each factor is equal to zero.  A simple quadratic where "a" is not equal to 1 will take care of this misconception pretty quickly for students.

  X-intercepts: Not just the "opposites"
  Intervention and Extension: X-intercepts: Not just the "opposites"
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Factoring Day 2 of 2

Unit 4: Quadratics!
Lesson 13 of 18

Objective: SWBAT factor quadratic equations when appropriate. SWBAT connect the solutions of quadratic equations to x-intercepts. SWBAT distinguish between quadratic equations that are not factorable and still have x-intercepts with those that do not have x-intercepts.

Big Idea: Students continue to develop their understanding of factoring and connect this work to the x-intercepts of quadratic functions.

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