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 realworld situations.
 The distributive property is the unifying concept for polynomial operations.


Vertical Articulation 
 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
 SOL 8.15  c) identify properties of operations used to solve equations
 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 
 VDOE ESS Lesson: Dividing Polynomials Using Algebra Tiles  Expressions and Operations (PDF)  Dividing polynomials (Word)
 Multiplying and Dividing Polynomials (ppt)

Real World Lessons 

Practice 
 VDOE ESS: Dividing Polynomials Using Algebra Tiles (pdf)
 Worksheet: Multiplying and Dividing Polynomials CW (doc)
 Worksheet: Multiplying and Dividing Polynomials HW (doc)

SelfAssessments 

Skills 

Videos 

Explore
Learning 
 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 
 Dividing Polynomials  lessons and practice problems at Regentsprep.org
 Dividing Polynomials  Notes, video, and practice from Mathisfun.com

Old Website Links 

Common Core
Standards 
7.EE.1 
8.EE.1 
NRN.1 
NRN.2 
ASSE.2 
ASSE.3a 
ASSE.3b 
ASSE.3c 
AAPR.1 
AAPR.4 
FIF.8a 
