Unit 1: Polynomial and Rational Functions – Pre Calculus

1.1 Change in Tandem

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AP Learning Objectives:
1.1.A  Describe how the input and output values of a function vary together by comparing function values.
1.1.B  Construct a graph representing two quantities that vary with respect to each other in a contextual scenario.

1.2 Rates of Change

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AP Learning Objectives: 
1.2.A Compare the rates of change at two points using average rates of change near the points.
1.2.B Describe how two quantities vary together at different points and over different intervals of a function.

 

1.3 Rates of Change in Linear and Quadratic Functions

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Corrective Assignments

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AP Learning Objectives: 
1.3.A Determine the average rates of change for linear and quadratic sequences and functions.
1.3.B Determine the change of average rates of change for linear and quadratic functions.

1.4 Polynomial Functions and Rates of Change

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AP Learning Objectives: 
1.4.A Identify key characteristics of polynomial functions related to rates of change.

1.5A Polynomial Functions and Complex Zeros

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AP Learning Objectives: 
1.5.A  Identify key characteristics of a polynomial function related to its zeros when suitable factorizations are available or with technology.

1.5B Even and Odd Polynomials

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AP Learning Objectives: 
1.5.B  Determine if a polynomial is even or odd.

1.6 Polynomial Functions and End Behavior

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AP Learning Objectives: 
​1.6.A  Describe end behaviors of polynomial functions.

Unit 1A Review

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1.7A Rational Functions and End Behavior

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AP Learning Objectives:
1.7.A Describe end behavior of rational functions.  

1.7B Rational Functions and End Behavior

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