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

Equations and Inequalities

Functions

Statistics

SOL Review Materials
A.2a
The student will perform operations on polynomials, including
a)   applying the laws of exponents to perform operations on expressions;

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 sums and differences of polynomials.
  • 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).
  • 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: Exponents - Expressions and Operations (PDF) - Using exponents (Word)
  2. Notes: Dividing Monomials (ppt)
Real World Lessons
Practice
  1. VDOE ESS: Exploring Exponents (pdf)
  2. VDOE ESS: Scientifically Speaking (pdf)
  3. Worksheet: Dividing Monomials CW (doc)
  4. Worksheet: Dividing Monomials HW (doc)
Self-Assessments
Skills
  1. JMU Pivotal Question: Monomial Division (doc)
Videos
  1. Video: PH Zero and Negative Exponents
  2. Video: PH Dividing Expressions with Exponents
  3. Video: PH Raising a Quotient to a Power
  4. Video: PH Evaluating Exponential Expressions
Explore Learning
  1. Exponents and Power Rules - Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps.
  2. Dividing Exponential Expressions - Choose the correct steps to divide exponential expressions. Use the feedback to diagnose incorrect steps.
Websites
  1. Interactive Notes: Dividing Polynomials by Monomials - lessons and practice problems at Regentsprep.org
  2. Notes: Rules for Exponents - displays all of the rules for exponents at math.uww.edu
Old Website Links
Common Core Standards
7.EE.1 8.EE.1 N-RN.1 N-RN.2 A-SSE.3b A-SSE.3c A-APR.1 A-APR.4