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| Review of Real Numbers | |
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| Introduction to Real Numbers | |
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| Operations on Rational Numbers | |
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| Variable Expressions | |
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| Verbal Expressions and Variable Expressions Focus on Problem Solving | |
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| Polya's Four-Step Process Projects and Group Activities: Water Displacement | |
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| First-Degree Equations and Inequalities | |
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| Equations in One Variable | |
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| Coin, Stamp, and Integer Problems | |
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| Value Mixture and Motion Problems | |
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| Applications: Problems Involving Percent | |
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| Inequalities in One Variable | |
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| Absolute Value Equations and Inequalities Focus on Problem Solving | |
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| Understand the Problem Projects and Group Activities: Venn Diagrams | |
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| Linear Functions and Inequalities in Two Variables | |
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| The Rectangular Coordinate System | |
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| Introduction to Functions | |
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| Linear Functions | |
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| Slope of a Straight Line | |
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| Finding Equations of Lines | |
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| Parallel and Perpendicular Lines | |
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| Inequalities in Two Variables Focus on Problem Solving | |
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| Find a Pattern Projects and Group Activities: Introduction to Graphing Calculators | |
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| Systems of Equations and Inequalities | |
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| Solving Systems of Linear Equations by Graphing and by the Substitution Method | |
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| Solving Systems of Linear Equations by the Addition Method | |
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| Solving Systems of Equations by Using Determinants and by Using Matrices | |
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| Application Problems | |
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| Solving Systems of Linear Inequalities Focus on Problem Solving | |
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| Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations | |
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| Polynomials and Exponents | |
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| Exponential Expressions | |
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| Introduction to Polynomials | |
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| Multiplication of Polynomials | |
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| Division of Polynomials | |
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| Factoring Polynomials | |
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| Special Factoring | |
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| Solving Equations by Factoring Focus on Problem Solving | |
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| Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |
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| Rational Expressions | |
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| Introduction to Rational Functions | |
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| Operations on Rational Expressions | |
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| Complex Fractions | |
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| Rational Equations | |
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| Proportions and Variation | |
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| Literal Equations Focus on Problem Solving | |
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| Implication Projects and Group Activities: Continued Fractions | |
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| Rational Exponents and Radicals | |
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| Rational Exponents and Radical Expressions | |
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| Operations on Radical Expressions | |
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| Radical Functions | |
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| Solving Equations Containing Radical Expressions | |
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| Complex Numbers Focus on Problem Solving | |
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| Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator | |
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| Quadratic Equations and Inequalities | |
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| Solving Quadratic Equations by Factoring or by Taking Square Roots | |
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| Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula | |
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| Equations That Are Reducible to Quadratic Equations | |
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| Applications of Quadratic Equations | |
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| Nonlinear Inequalities Focus on Problem Solving | |
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| Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation | |
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| Functions and Relations | |
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| Properties of Quadratic Functions | |
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| Zeros of Polynomial Functions | |
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| Properties of the Graphs of Polynomial Functions | |
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| Rational Functions | |
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| Translations of Graphs | |
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| Algebra of Functions | |
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| One-to-One and Inverse Functions Focus on Problem Solving | |
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| Proof in Mathematics Projects and Group Activities: Applications of the Composition of Functions | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Introduction to Logarithms | |
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| Graphs of Logarithmic Functions | |
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| Exponential and Logarithmic Equations | |
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| Applications of Exponential and Logarithmic Functions Focus on Problem Solving | |
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| Proof by Contradiction Projects and Group Activities: Credit Reports and FICO? | |
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| Scores | |
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| Sequences, Series, Probability, and Statistics | |
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| Introduction to Sequences and Series | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| Binomial Expansions | |
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| Counting Methods | |
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| Introduction to Probability | |
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| Introduction to Statistics Focus on Problem Solving | |
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| Forming Negations Projects and Group Activities: ISBN and UPC Numbers | |
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| Conic Sections | |
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| The Parabola | |
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| The Circle | |
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| The Ellipse and the Hyperbola | |
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| Solving Nonlinear Systems of Equations | |
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| Quadratic Inequalities and Systems of Inequalities Focus on Problem Solving | |
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| Use a Variety of Problem-Solving Strategies Projects and Group Activities: The Eccentricity and Foci of an Ellipse Final Exam | |
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| Appendix | |
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| Photo | |
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| Credits | |
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| Solutions to Chapter Problems | |
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| Answers to Selected Exercises | |
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| Glossary | |
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| Index | |