Course curriculum

    1. Syllabus

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    1. 1.1 Change in Tandem: Functions, Domain, Range and Four Representations

    2. Quiz 1.1

    3. 1.2 Average Rate of Change: Secant Lines, Slope and Meaning in Context

    4. Quiz 1.2

    5. 1.2 Interactive Lab: Secant Line Explorer

    6. 1.3 Increasing, Decreasing and Concavity: Reading the Shape of a Graph

    7. Quiz 1.3

    8. 1.3 Interactive Lab: Graph Shape Detective

    9. 1.4 Linear Functions: Constant Rate of Change in Tables and Graphs

    10. Quiz 1.4

    11. 1.5 Quadratic Functions: Linear Rates of Change and Successive Differences

    12. Quiz 1.5

    13. 1.6 Extrema, Zeros and Points of Inflection: Reading a Function Graph

    14. Quiz 1.6

    1. 2.1 Polynomial Basics: Degree, Leading Term and Rates of Change

    2. Quiz 2.1

    3. 2.2 Graphs of Polynomials: Local and Global Extrema and Inflection Points

    4. Quiz 2.2

    5. 2.2 Interactive Lab: Reading Polynomial Graphs

    6. 2.3 Zeros, Linear Factors and Multiplicity

    7. Quiz 2.3

    8. 2.3 Interactive Lab: Cross or Touch

    9. 2.4 Complex Zeros and Conjugate Pairs

    10. Quiz 2.4

    11. 2.5 Polynomial Long Division, the Binomial Theorem and Equivalent Polynomial Forms

    12. Quiz 2.5

    13. 2.6 Even and Odd Functions: Symmetry in Polynomial Graphs

    14. Quiz 2.6

    15. 2.7 End Behavior of Polynomials and Limit Notation

    16. Quiz 2.7

    17. 2.8 Polynomial Inequalities: Sign Charts and Solution Sets

    18. Quiz 2.8

    1. 3.1 Rational Functions and End Behavior: The Quotient of Leading Terms

    2. Quiz 3.1

    3. 3.2 Horizontal and Slant Asymptotes of Rational Functions

    4. Quiz 3.2

    5. 3.2 Interactive Lab: Asymptote Predictor

    6. 3.3 Zeros of Rational Functions: Where the Numerator Vanishes

    7. Quiz 3.3

    8. 3.4 Vertical Asymptotes: Where the Denominator Vanishes

    9. Quiz 3.4

    10. 3.5 Holes in Graphs: Common Factors and Removable Discontinuities

    11. Quiz 3.5

    12. 3.5 Interactive Lab: Hole Hunter

    13. 3.6 Equivalent Rational Expressions: Long Division and Rewriting to Reveal Key Features

    14. Quiz 3.6

    15. 3.7 Rational Equations and Inequalities: Solving and Interpreting

    16. Quiz 3.7

    1. 4.1 Transformations of Functions: Shifts, Stretches and Reflections

    2. Quiz 4.1

    3. 4.1 Interactive Lab: Transformation Workshop

    4. 4.2 Transforming Polynomial and Rational Graphs: Zeros, Asymptotes and Holes

    5. Quiz 4.2

    6. 4.3 Choosing a Model: Selecting Function Types and Stating Assumptions

    7. Quiz 4.3

    8. 4.4 Constructing a Model: Building and Applying Functions to Real Contexts

    9. Quiz 4.4

    10. 4.5 Regression and Residuals for Polynomial Models

    11. Quiz 4.5

    1. 5.1 Arithmetic and Geometric Sequences: Common Difference and Common Ratio

    2. Quiz 5.1

    3. 5.2 Linear versus Exponential Change: Equal Differences or Equal Ratios

    4. Quiz 5.2

    5. 5.3 Exponential Functions: Initial Value, Growth Factor, Growth and Decay

    6. Quiz 5.3

    7. 5.3 Interactive Lab: Fit an Exponential

    8. 5.4 Exponent Properties and Manipulating Exponential Expressions

    9. Quiz 5.4

    10. 5.5 Exponential Models in Context: Percent Change, Half-Life and the Number e

    11. Quiz 5.5

    12. 5.6 Regression, Residuals and Validating Competing Models

    13. Quiz 5.6

    14. 5.6 Interactive Lab: Residuals for Competing Models

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