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Module - Factoring
Lesson 6 - Solving by Factoring

Lessons

1-

Factors and Greatest Common Factors

2-

Factoring Using the Distributive Property

3-

Difference of Squares

4-

Factoring Trinomials

5-

Perfect Squares and Factoring

6-

Solving by Factoring

7-

Module Review

 

 
SOL

A.4c - The student will solve multistep linear and quadratic equations in two variables, including solving quadratic equations algebraically and graphically.

Chicken Coop

Barry has 20 m wire mesh. He would like to enclose as large as possible a rectangular a chicken coop using a barn wall as one of the sides. What values for the length and width will give him the largest area?

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Find the roots

In the quadractic equation ax2 + bx + c = 0, slide the values of a, b and c and observe the roots of the quadractic.

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Common Core Standards
A-SSE.3a A-CED.1 A-REI.4a A-REI.4b F-IF.8a
Warm-up
  1. ExamView Quiz: Factoring Perfect Square Trinomials
Lessons
  1. Notes: Zero Product Property (ppt)
  2. Activity: Project Graduation Solving Graphically (doc) | (pdf)
  3. Activity: Project Graduation Quadratic Matching Cards (doc)
  4. | (pdf)
Videos
  1. Video: PH Solving Quadratic Equations by Factoring
Explore Learning
  1. Roots of a Quadratic: Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane.
Geogebra

 

Internet Sites
  1. Interactive Notes: Solving Quadratic Equations - lessons and practice problems from Regentsprep.org
  2. Interactive: Solving Quadratic Equations Self-Test - notes and twelve practice problems at math.uww.edu
Tasks

 

Homework
  1. Solve Quadratics by Factoring (doc) | (pdf)
  2. Glencoe PWS Solving Quadratics by Factoring (pdf)
  3. Glencoe SG Solving Quadratics by Factoring (pdf)
  4. Glencoe PWS Solving Quadratics by Graphing (pdf)
  5. Glencoe SG Solving Quadratics by Graphing (pdf)
Journal
  1. Factoring: State the different methods of factoring to try when factoring a binomial and a trinomial. Give a table/example of each method.
  2. Graphing Quadratics: Draw an example of each type of situation that may occur when using graphing to find the solutions of a quadratic equation. Identify the number of real roots of the quadratic function in each situation.
Study Guide
  1. ExamView Quiz: Solving Quadratic Equations
  2. Prentice Hall Quiz
Other
HCPS 2002-