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Georgia:


All of Unit 5 
Unit 51: 
Basic Polynomial Operations (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Video Lessons: (p1a, p1b, p2)
Sample Quiz: (Interactive, PDF)


Unit 52: 
Synthetic & Long Division (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.APR.6 Rewrite simple rational expressions in different forms using inspection, long division, or a computer algebra system; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x).
Video Lessons:(p1a, p1b, p2a, p2b, p3)
Sample Quiz: (Interactive, PDF)


Unit 53: 
Fundamental Theorem of Algebra (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.N.CN.9 Use the Fundamental Theorem of Algebra to find all roots of a polynomial equation
MGSE912.A.APR.3 Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
MGSE912.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Video Lessons: (p1, p2, p3)
Sample Quiz:(Interactive, PDF) 

Unit 54: 
Polynomial Identities (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.SSE.2 Use the structure of an expression to rewrite it in different equivalent forms. For example, see x^4– y^4 as (x^2)^2  (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2) (x^2 + y^2).
MGSE912.A.APR.4 Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 +y^2)^2 = (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.
Video Lessons: (p1, p2a, p2b, p3)
Sample Quiz:(Interactive, PDF)


Unit 55: 
Alternate Factoring Methods (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.APR.3 Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
MGSE912.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context.
MGSE912.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF)


Unit 56: 
Remainder&Rational Root Thrm. (Doc, PDF, Key)
Georgia Standard (Click to Expand)
MGSE912.A.APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
MGSE912.N.CN.9 Use the Fundamental Theorem of Algebra to find all roots of a polynomial equation
TI84 Calculator Reference: (locate zeros)
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF)


Unit 57: 
Polynomial Characteristics Context(Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE912.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
MGSE912.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context.
MGSE912.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
MGSE912.A.SSE.1b Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors.
MGSE912.F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
MGSE912.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
TI84 Calc. Reference: (locate zeros , locate max/min)
Video Lessons: (p1a, p1b, p1c, p2, p3)
Sample Quiz: (Interactive, PDF)


TEST: 
Testing Item Banks for Exam View
(339 available questions for Unit 5)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking & Walt Henry


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