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Prerequisites | |

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Modeling the Real World | |

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Real Numbers | |

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Integer Exponents | |

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Rational Exponents and Radicals | |

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Algebraic Expressions | |

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Discovery Project: Visualizing a Formula | |

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Factoring Algebraic Expressions | |

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Rational Expressions | |

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Chapter P Review | |

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Chapter P Test | |

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Focus on Problem Solving: General Principles | |

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Equations and Inequalities | |

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Basic Equations | |

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Modeling with Linear Equations | |

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Discovery Project: Equations Through the Ages | |

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Quadratic Equations | |

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Complex Numbers | |

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Other Types of Equations | |

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Inequalities | |

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Absolute Value Equations and Inequalities | |

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Review | |

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Test | |

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Focus on Modeling: Making the Best Decisions | |

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Coordinates and Graphs | |

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The Coordinate Plane | |

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Discovery Project: Visualizing Data | |

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Graphs of Equations in Two Variables | |

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Graphing Calculators: Solving Equations and Inequalities Graphically | |

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Lines | |

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Modeling: Variation | |

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Review | |

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Test | |

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Focus on Modeling: Fitting Lines to Data | |

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Functions | |

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What is a Function? Graphs of Functions | |

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Discovery Project: Relations and Functions | |

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Increasing and Decreasing Functions: Average Rate of Change | |

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Transformations of Functions | |

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Quadratic Functions: Maxima and Minima | |

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Combining Functions | |

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Discovery Project: Iteration and Chaos | |

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One-to-One Functions and Their Inverses | |

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Review | |

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Test | |

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Focus on Modeling: Modeling With Functions | |

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Polynomial and Rational Functions | |

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Polynomial Functions and Their Graphs | |

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Dividing Polynomials | |

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Real Zeros of Polynomials | |

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Discovery Project: Zeroing in on a Zero | |

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Complex Zeros and the Fundamental Theorem of Algebra | |

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Rational Functions | |

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Review | |

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Test | |

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Focus on Modeling: Fitting Polynomial Curves to Data | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Discovery Project: Exponential Explosion | |

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Logarithmic Functions | |

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Laws of Logarithms | |

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Exponential and Logarithmic Equations | |

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Modeling with Exponential and Logarithmic Functions | |

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Review | |

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Test | |

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Focus on Modeling: Fitting Exponential and Power Curves to Data | |

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Trigonometric Functions of Angles | |

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Angle Measure | |

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Trigonometry of Right Triangles | |

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Trigonometric Functions of Angles | |

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Discovery Project: Similarity | |

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The Law of Sines | |

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The Law of Cosines | |

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Review | |

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Test | |

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Focus on Modeling: Surveying | |

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Trigonometric Functions of Real Numbers | |

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The Unit Circle | |

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Trigonometric Functions of Real Numbers | |

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Trigonometric Graphs | |

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Discovery Project: Predator-Prey Models | |

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More Trigonometric Graphs | |

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Modeling Harmonic Motion | |

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Review | |

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Test | |

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Focus on Modeling: Fitting Sinusoidal Curves to Data | |

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Analytic Trigonometry | |

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Trigonometric Identities | |

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Addition and Subtraction Formulas | |

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Double-Angle, Half-Angle, and Sum-Product Identities | |

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Inverse Trigonometric Functions | |

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Discovery Project:Where to Sit at the Movies | |

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Trigonometric Equations | |

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Review | |

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Test | |

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Focus on Modeling: Traveling and Standing Waves | |

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Polar Coordinates and Vectors | |

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Polar Coordinates | |

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Graphs of Polar Equations | |

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Polar Form of Complex Numbers; DeMoivre's Theorem | |

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Discovery Project: Fractals | |

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Vectors | |

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The Dot Product | |

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Discovery Project: Sailing Against the Wind | |

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Review | |

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Test | |

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Focus on Modeling: Mapping the World | |

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Systems of Equations and Inequalities | |

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Systems of Equations | |

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Systems of Linear Equations in Two Variables | |

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Systems of Linear Equations in Several Variables | |

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Discovery Project: Best Fit versus Exact Fit | |

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Systems of Linear Equations: Matrices | |

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The Algebra of Matrices | |

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Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations | |

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Discovery Project: Computer Graphics I | |

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Determinants and Cramer's Rule | |

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Partial Fractions | |

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Systems of Inequalities | |

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Review | |

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Test | |

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Focus on Modeling: Linear Programming | |

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Analytic Geometry | |

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Parabolas | |

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Ellipses | |

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Hyperbolas | |

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Discovery Project: Conics in Architecture | |

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Shifted Conics | |

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Rotation of Axes | |

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Discovery Project: Computer Graphics II | |

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Polar Equations of Conics | |

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Plane Curves and Parametric Equations | |

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Chapt | |