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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 | |