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| P. Prerequisites | |
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| Modeling the Real World with Algebra | |
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| Real Numbers and Their Properties | |
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| The Real Number Line and Order | |
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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 | |
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| Rational Expressions | |
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| Chapter P Review | |
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| Chapter P Test Focus on Problem Solving General Principles | |
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| Equations and Inequaliities | |
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| Basic Equations | |
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| Modeling with 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 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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| Making Models Using Variation | |
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| Review | |
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| Test Cumulative Review Test: Chapters 1 and | |
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| Focus on Modeling Fitting Lines to Data | |
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| Functions | |
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| What is a Function? | |
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| Graphs of Functions | |
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| Discovery Project Relations and Functions | |
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| Getting Information from the Graph of a Function | |
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| Average Rate of Change of a Function | |
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| Transformations of Functions | |
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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 Focus on Modeling with Functions | |
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| Polynomials and Rational Functions | |
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| Quadratic Functions and Models | |
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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 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 Cumulative Review Test: Chapters 3, 4, and | |
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| Focus on Modeling Fitting Exponential and Power Curves to Data | |
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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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| Partial Fractions | |
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| Systems of Inequalities | |
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| Review | |
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| Test Focus on Modeling Linear Programming | |
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| Matrices and Determinants | |
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| Matrices and Systems of Linear Equations | |
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| The Algebra of Matrices | |
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| Discovery Project Will the Species Survive? | |
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| Inverses of Matrices and Matrix Equations | |
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| Determinants and Cramer's Rule | |
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| Review | |
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| Test Focus on Modeling Computer Graphics | |
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| Conic Sections | |
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| Parabolas | |
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| Discovery Project Rolling Down a Ramp | |
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| Ellipses | |
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| Hyperbolas | |
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| Shifted Conics | |
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| Review | |
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| Test Cumulative Review Test: Chapters 6, 7, and | |
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| Focus on Modeling Conics in Architecture | |
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| Sequences and Series | |
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| Sequences and Summation Notation | |
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| Arithmetic Sequences | |
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| Geometric Sequences | |
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| Discovery Project Finding Patterns | |
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| Mathematics of Finance | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Review | |
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| Test Focus on Modeling with Recursive Sequences | |