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## Lesson Plan

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This lesson provided by:
 Author: Leah Drauch System: Cullman County School: West Point Middle School

General Lesson Information
 Lesson Plan ID: 4152 Title: Factoring Fanatic Overview/Annotation: This activity is designed to give students practice in "finding" the correct factors to use when attempting to factor a trinomial. The students are provided with a Tic-Tac sheet to help them discover the relationship or pattern between two numbers. Students then use their discovery to fill in a second Tic Tac sheet. At this point students have uncovered the mystery of how to locate the appropriate factors in a given trinomial. They can now factor any trinomial placed in front of them!

Associated Standards and Objectives
Content Standard(s):
 MA2015 (9-12) Algebra 8. Use the structure of an expression to identify ways to rewrite it. [A-SSE2] Example: See x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2). MA2015 (9-12) Algebra 9. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* [A-SSE3] a. Factor a quadratic expression to reveal the zeros of the function it defines. [A-SSE3a] b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. [A-SSE3b] c. Determine a quadratic equation when given its graph or roots. (Alabama) d. Use the properties of exponents to transform expressions for exponential functions. [A-SSE3c] Example: The expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

Local/National Standards:

Primary Learning Objective(s):

Students will be able to factor complex trinomials.

Preparation Information
 Total Duration: 61 to 90 Minutes Materials and Resources: Tic-Tac-But No Toe handouts, practice worksheet (see attachments) Technology Resources Needed: Computer, Power Point software, (presentation attached), LCD projector or other large-group computer projection device. If the software is not available, handouts are also attached. Transparencies can be made from the handouts. Background/Preparation: Students will need to have the following prerequisite skills. Factor out the GCF from polynomials. Factor the "Special Products" (Difference of Squares and Binomial Squares)

Procedures/Activities: