Algebra 1 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
A.2c
The student will perform operations on polynomials, including
c)   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.

Essential Knowledge and Skills 
  • Factor completely first- and second-degree polynomials with integral coefficients.
  • Identify prime polynomials.
  • Use the x-intercepts from the graphical representation of the polynomial to determine and confirm its factors.
Essential Understandings
  • Factoring reverses polynomial multiplication.
  • Some polynomials are prime polynomials and cannot be factored over the set of real numbers.
  • Polynomial expressions can be used to define functions and these functions can be represented graphically.
  • There is a relationship between the factors of any polynomial and the x-intercepts of the graph of its related function.
Vertical Articulation
  1. SOL 7.16 - apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
  2. SOL 8.15 - c) identify properties of operations used to solve equations
  3. SOL AII.3 - perform operations on complex numbers/express results in simplest form using patterns of the powers of i, identify field properties for complex numbers
Instructional Materials
  1. VDOE ESS Lesson: Factoring - Expressions and Operations (PDF) - Factoring polynomials (Word)
  2. Notes: Factoring Using GCF with Zero Product Property Intro (ppt)
    1. Student Notes (doc)
  3. Notes: Factoring Using GCF (doc) | Teacher Key (pdf)
  4. Activity: Illuminations - Factoring with Algetiles - select Factor tab
Real World Lessons
Practice
  1. VDOE ESS: Factoring Polynomials Using Algebra Tiles (pdf)
  2. Worksheet: Factoring Using GCF with Zero Product Property Intro (doc)
  3. Worksheet: Factoring Using GCF Classwork (doc)
  4. Worksheet: Factoring Using GCF Homework (doc)
Self-Assessments
Skills
Videos
  1. Video: PH Factoring Using GCF
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.
Websites
  1. Interactive Notes: Factoring - lessons and practice problems from Regentsprep.org
  2. ExamView Quiz: Factoring GCF
  3. Prentice Hall Quiz
Old Website Links
Common Core Standards
7.EE.1
8.EE.1
N-RN.1
N-RN.2
A-SSE.2
A-SSE.3a
A-SSE.3b
A-SSE.3c
A-APR.1
A-APR.4
F-IF.8a