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 the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.
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: Dividing Polynomials Using Algebra Tiles - Expressions and Operations (PDF) - Dividing polynomials (Word)
  2. Multiplying and Dividing Polynomials (ppt)
Real World Lessons
Practice
  1. VDOE ESS: Dividing Polynomials Using Algebra Tiles (pdf)
  2. Worksheet: Multiplying and Dividing Polynomials CW (doc)
  3. Worksheet: Multiplying and Dividing Polynomials HW (doc)
Self-Assessments
Skills
Videos
Explore Learning
  1. Dividing Polynomials Using Synthetic Division - Divide a polynomial by dragging the correct numbers into the correct positions for synthetic division. Compare the interpreted polynomial division to the synthetic division.
Websites
  1. Dividing Polynomials - lessons and practice problems at Regentsprep.org
  2. Dividing Polynomials - Notes, video, and practice from Mathisfun.com
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