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| Basic Algebraic Operations | |
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| Algebra and Real Numbers | |
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| Exponents | |
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| Radicals | |
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| Polynomials: Basic Operations | |
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| Polynomials: Factoring | |
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| Rational Expressions: Basic Operations | |
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| Review | |
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| Group Activity: Rational Number Representations | |
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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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| Review | |
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| Group Activity: Solving a Cubic Equation | |
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| Graphs | |
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| Cartesian Coordinate system | |
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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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| Review | |
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| Group Activity: Rates of Change | |
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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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| Review | |
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| Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan Chapters | |
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| Cumulative Review Exercises | |
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| Polynomials 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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| Review | |
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| Group Activity: Interpolating Polynomials | |
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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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| Review | |
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| Group Activity: Growth of Increasing Functions Chapters | |
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| Cumulative Review Exercises | |
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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Right-Triangle Trigonometry | |
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| Trigonometric Functions: A Unit Circle Approach | |
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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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| Review | |
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| Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | |
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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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| Review | |
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| Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool | |
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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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| Review | |
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| Group Activity: Conic Sections and Planetary Orbits Chapters | |
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| Cumulative Review Exercises | |
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| Additional Topics in Analytic Geometry | |
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| Conic Sections; Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Rotation of Axes | |
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| Review | |
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| Group Activity: Focal Chords | |
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| Systems of Equations and Inequalities; Matrices | |
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| Systems of Linear Equations: Graphing and Substitution | |
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| Systems of Linear Equations: Elimination | |
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| Systems of Linear Equations: Gauss-Jordan Elimination | |
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| Matrices: Basic Operations | |
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| Systems of Linear Equations: Matrix Inverse Methods | |
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| Systems of Nonlinear Equations | |
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| Systems of Linear Inequalities in Two Variables | |
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| Linear Programming | |
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| Review | |
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| Group Activity: Modeling With Systems of Linear Equations | |
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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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| Review | |
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| Group Activity: Sequences Specified by Recursion Formulas Chapters | |
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| Cumulative Review Exercises | |
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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 | |