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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
A.2b
The student will perform operations on polynomials, including
b)   adding, subtracting, multiplying, and dividing polynomials.

Essential Knowledge and Skills 
  • Model sums, differences, products, and quotients of polynomials with concrete objects and their related pictorial representations.
  • Relate concrete and pictorial manipulations that model polynomial operations to their corresponding symbolic representations.
  • Find products of polynomials.  The factors will have no more than five total terms (i.e. (4x+2)(3x+5) represents four terms and (x+1)(2x2 +x+3) represents five terms).
Essential Understandings
  • Operations with polynomials can be represented concretely, pictorially, and symbolically.
  • Polynomial expressions can be used to model real-world situations.
  • The distributive property is the unifying concept for polynomial operations.
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/ID field properties for complex numbers
Instructional Materials
  1. VDOE ESS Lesson: Multiplying Polynomials Using Algebra Tiles - Expressions and Operations (PDF) - Multiplying polynomials (Word)
  2. Modeling: Multiplying Polynomials with Algebra Tiles (ppt)
    1. Student Notes (doc)
  3. Multiplying and Dividing Polynomials (ppt)
  4. Activity: Illuminations - Multiplying with Algetiles - select Expand tab
Real World Lessons
Practice
  1. VDOE ESS: Multiplying Polynomials Using Algebra Tiles (pdf)
  2. Worksheet: Multiplying and Dividing Polynomials CW (doc)
  3. Worksheet: Multiplying and Dividing Polynomials HW (doc)
  4. ExamView Quiz: Multiplying a Monomial and a Polynomial
  5. ExamView Quiz: Multiplying Polynomials
  6. Prentice Hall Quiz
  7. ExamView Quiz: Special Products
  8. Prentice Hall Quiz - Special Products
Self-Assessments
Skills
Videos
  1. Video: PH Multiplying a Monomial and a Polynomial
  2. Video: PH Multiplying Binomials with Distributive
  3. Video: PH Multiplying Binomials with FOIL
  4. Video: PH Application of Multiplying Polynomials
  5. Video: PH Multiplying a Trinomial and a Binomial
  6. Video: PH Squaring Binomials
  7. Video: PH Difference of Squares
Explore Learning
  1. None
Websites
  1. Interactive Notes: Rules for Exponents - lessons and practice problems at Regentsprep.org
  2. Interactive Notes: Simplifying Polynomial Expressions - lessons and workout problems at Math.com
  3. Interactive: Algebra Tiles - math manipulative at matti.usu.edu that visualizes multiplying algebraic expressions using tiles. Choose the Algebra Tiles icon from the list.
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