Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.1d
The student, given rational, radical, or polynomial expressions, will
d)   factor polynomials completely.
Essential Knowledge and Skills 
  • Factor polynomials by applying general patterns including difference of squares, sum and difference of cubes, and perfect square trinomials.
  • Factor polynomials completely over the integers.
  • Verify polynomial identities including the difference of squares, sum and difference of cubes, and perfect square trinomials.  †Revised March 2011
Essential Understandings
  • The complete factorization of polynomials has occurred when each factor is a prime polynomial.
  • Pattern recognition can be used to determine complete factorization of a polynomial.
Vertical Articulation
  1. SOL A.1 - represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables
Instructional Materials
  1. VDOE ESS Lesson: Factoring - Expressions and Operations (PDF) - Factoring polynomials (Word)
  2. Notes: Factoring Step-By-Step Guide (ppt)
  3. Notes: GCF VIP - Visual Instruction Plan (ppt)
  4. Foldable: Factoring Techniques Outline (flipchart)
  5. Graphic: Factoring Flowchart (doc)
Real World Lessons
Practice
  1. VDOE ESS: Factor Patterns Worksheet (pdf)
  2. VDOE ESS: Factor, Factor, Factor! Worksheet (pdf)
  3. Worksheet: Factoring Difference of Squares (doc)
  4. Journaling: Factoring Discussion Questions (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.1d - Factoring using Difference of Squares
Skills
  1. JMU Pivotal Question: Factoring Polynomials (doc)
Videos
  1. Video: PH Factoring Difference of Squares
Explore Learning
  1. Factoring Special Products - Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.
  2. 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.
  3. Modeling the Factorization of ax^2+bx+c - Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes.
Websites
  1. Interactive Notes: Factoring - lessons and practice problems from Regentsprep.org
  2. Interactive Notes: Square Roots Review - notes and workout problems from Math.com
  3. Notes - Difference of Squares notes from Purplemath.com
Common Core Standards
A-SSE.2
A-APR.2
A-APR.4
A-APR.6
A-APR.7
F-IF.8a