Unit 2, Quadratic Functions: Day 5

Focus on Using Factoring to Solve Equations

Action Items:

1. Show me Friday's homework 2.4.

2. Take notes on factoring and solving.

3. Homework: 2.5: WS #5.2B #34-43 ALL!

Lesson Goal: At the end of this lesson, you will be able to Solve Quadratic Equations by Factoring, understand what it means to "solve" a quadratic equation, and have some inkling of why you might want to.

Factoring Binomials & Trinomials
- GCF
- Special Patterns (Perfect Square Trinomials, Differences of Squares)
- $LaTeX: a\ne1$
Zero Product Property (ZPP): if the product of two numbers is zero, at least one of the numbers must have been equal to zero!

Solutions, Roots, Zeros, x-intercepts (VOCABULARY ALERT!)
- A "solution" to a quadratic equation is an x-value that makes the value of the equation zero.
- The solutions to a quadratic equation are also sometimes called "roots," or "zeros."
- To find the solutions to a quadratic equation
  - factor the equation
  - set each factor equal to zero
  - solve for x. (We are using the ZPP.)
Connection to INTERCEPT FORM: solutions are x-intercepts (they are where the parabola crosses the x-axis).

Homework 2.5: WS #5.2 #34-43 all (linked above).

If you are absent, use the Resources link below and look for resources on Factoring & Solving.

Resources:

Quadratic Unit Homework Solutions

All resources can be found in the Quadratics Resources Module that I link at the bottom of the lesson every day.

Also, try Patrick JMT Math Tutorials: All About Quadratics (Complete Playlist)

And if you like Kahn Academy, use their Quadratics unit if you need more support.