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Module - Factoring
Lesson 4 - Factoring Trinomials

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.2c - The student will perform operations on polynomials, including factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations.

Common Core Standards
A-SSE.2 A-SSE.3a A-APR.4 F-IF.8a
Warm-up
  1. ExamView Quiz: GCF Difference of Squares
  2. Warm-up: Difference of Squares (ppt)
Lessons
  1. Notes: Factoring Trinomials by Grouping (ppt)
  2. Notes: Factoring Trinomials by Grouping (pdf)
  3. Notes: Factoring Trinomials by Trial and Error (ppt)
  4. Notes: Factoring 4 terms by Grouping (ppt)
  5. Activity: Project Graduation Factoring Puzzle (doc) | (pdf)
  6. Activity: Project Graduation Algeblocks Factoring (doc) | (pdf)
  7. Game: Project Graduation Old Poly (doc) | (pdf)
Videos
  1. Factoring Trinomials with Leading Coefficient of 1
    1. Video: PH Factoring Trinomials of the Type x^2 + bx + c (where b is positive)
    2. Video: PH Factoring Trinomials of the Type x^2 - bx + c (where b is negative)
    3. Video: PH Factoring Trinomials of the Type x^2 + bx – c (where c is negative)
    4. Video: PH Factoring Perfect Square Trinomials
  2. Factoring Trinomials with Leading Coefficient not equal (≠) to 1
    1. Video: PH Factoring Trinomials of the Type ax^2 + bx + c (where c is positive)
    2. Video: PH Factoring Trinomials of the Type ax^2 + bx - c (where c is negative)
    3. Video: PH Factoring perfect square trinomials with a ≠ 1
  3. Factoring by Grouping
    1. Factoring a four-term Polynomial by Grouping
    2. Factoring Trinomials by Grouping
  4. Video: PH Factoring Trinomials with Two Variables
  5. Video: PH Real World Factoring Problems
Explore Learning
  1. Modeling the Factorization of x^2+bx+c: Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step‑by‑step feedback to diagnose any mistakes.
  2. Quadratics in Factored Form: Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response.
Geogebra

 

Internet Sites
  1. Interactive Notes: Factoring - lessons and practice problems from Regentsprep.org
  2. Interactive Notes: Factoring - notes and quiz on factoring trinomials at Math for Morons
  3. Notes: Factoring Quadratics - notes on factoring trinomials at Purplemath.com
Tasks

 

Homework
  1. Project Graduation Quotable Puzzle (doc) | (pdf)
  2. Glencoe PWS (pdf)
  3. Glencoe SG (pdf)
Journal
  1. Trinomials: Explain the relationship between the sign of the last term in a trinomial and the signs of its binomial factors. Give examples to justify your explanation.
Study Guide
  1. ExamView Quiz: Factoring Trinomials
  2. Prentice Hall Quiz: Factoring Trinomials (a=1)
  3. Prentice Hall Quiz: Factoring Trinomials (a≠1)
  4. Prentice Hall Quiz: Factoring by Grouping
Other
HCPS 2002-