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Basic Algebraic Operations | |

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Algebra and Real Numbers | |

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Exponents and Radicals | |

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Polynomials: Basic Operations and Factoring | |

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Rational Expressions: Basic Operations | |

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Chapter R Review | |

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Equations and Inequalities | |

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Linear Equations and Applications | |

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Linear Inequalities | |

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Absolute Value | |

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Complex Numbers | |

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Quadratic Equations and Applications | |

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Equations Involving Radicals | |

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Chapter 1 Group Activity: Solving a Cubic Equation | |

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Chapter 1 Review | |

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Graphs | |

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Rectangular Coordinates | |

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Distance in the Plane | |

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Equations of a Line | |

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Linear Equations and Models | |

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Chapter 2 Group Activity: Rates of Change | |

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Chapter 2 Review | |

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Functions | |

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Functions | |

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Graphing Functions | |

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Transformations of Functions | |

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Quadratic Functions | |

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Combining Functions; Composition | |

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Inverse Functions | |

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Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan | |

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Chapter 3 Review 1, 2, & 3 Cumulative Review Exercises | |

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Polynomial and Rational Functions | |

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Polynomial Functions And Models | |

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Real Zeros and Polynomial Inequalities | |

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Complex Zeros and Rational Zeros of Polynomials | |

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Rational Functions and Inequalities | |

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Variation and Modeling | |

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Chapter 4 Group Activity: Interpolating Polynomials | |

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Chapter 4 tReview | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Exponential Models | |

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Logarithmic Functions | |

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Logarithmic Models | |

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Exponential and Logarithmic Equations | |

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Chapter 5 Group Activity: Growth of Increasing Functions | |

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Chapter 5 Review 4 & 5 Cumulative Review Exercises | |

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Trigonometric Functions | |

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Angles and Their Measure | |

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Trigonometric Functions: A Unit Circle Approach | |

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Solving Right Triangles | |

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Trigonometric Functions: Properties and Graphs | |

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More General Trigonometric Functions | |

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Inverse Trigonometric Functions | |

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Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | |

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Chapter 6 Review | |

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Trigonometric Identities and Conditional Equations | |

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Basic Identities and Their Use | |

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Sum, Difference, and Cofunction Identities | |

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Double-Angle and Half-Angle Identities | |

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Product-Sum and Sum-Product Identities | |

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Trigonometric Equations | |

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Chapter 7 Group Activity: From M sin Bt + N cos Bt to a sin(Bt + C) - a Harmonic Analysis Tool | |

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Chapter 7 Review | |

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Additional Topics in Trigonometry | |

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Law of Sines | |

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Law of Cosines | |

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Vectors in the Plane | |

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Polar Coordinates and Graphs | |

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Complex Numbers and De Moivre's Theorem | |

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Chapter 8 Group Activity: Conic Sections and Planetary Orbits | |

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Chapter 8 Review 6, 7, & 8 Cumulative Review Exercises | |

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Additional Topics in Analytic Geometry | |

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Conic Sections; Parabola | |

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Ellipse | |

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Hyperbola | |

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Rotation of Axes | |

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Chapter 9 Group Activity: Focal Chords | |

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Chapter 9 Review | |

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Systems of Equations and Inequalities; Matrices | |

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Systems of Linear Equations | |

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Solving Linear Systems Using Gauss-Jordan Elimination | |

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Matrix Operations | |

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Solving Linear Systems Using Inverse Matrices | |

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Determinants and Cramer's Rule | |

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Group Activity: Modeling with Systems of Linear Equations | |

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Systems of Nonlinear Equations | |

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Systems of Linear Inequalities | |

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Linear Programming | |

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Chapter 10 Review | |

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Sequences and Series | |

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Sequences and Series | |

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Mathematical Induction | |

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Arithmetic and Geometric Sequences | |

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Counting Techniques: Multiplication Principle, Permutations, and Combinations | |

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Sample Spaces and Probability | |

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Binomial Formula | |

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Chapter 11 Group Activity: Sequences Specified by Recursion Formulas | |

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Chapter 11 Review 9, 10, & 11 Cumulative Review Exercises | |

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Limits: an Introduction to Calculus | |

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Introduction to Limits | |

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Computing Limits Algebraically | |

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Limits at Infinity | |

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The Derivative | |

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Area and Calculus | |

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Chapter 12 Group Activity: Derivatives of Exponential and Log Functions | |

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Review | |

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Special Topics | |

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Scientific Notation and Significant Digits | |

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Partial Fractions | |

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Parametric Equations | |

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Geometric Formulas | |