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Data, Functions, and Models | |
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Making Sense of Data | |
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Visualizing Relationships in Data | |
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Equations: Describing Relationships in Data | |
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Functions: Describing Change | |
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Function Notation: The Concept of Function as a Rule | |
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Working with Functions: Graphs and Graphing Calculators | |
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Working with Functions: Getting Information from the Graph | |
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Working with Functions: Modeling Real-World Relationships | |
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Making and Using Formulas | |
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Concept Check and Review | |
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Bias in Presenting Data | |
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Collecting and Analyzing Data | |
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Every Graph Tells a Story | |
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Linear Functions and Models | |
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Working with Functions: Average Rate of Change | |
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Linear Functions: Constant Rate of Change | |
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Equations of Lines: Making Linear Models | |
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Varying the Coefficients: Direct Proportionality | |
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Linear Regression: Fitting Lines to Data | |
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Linear Equations: Getting Information from a Model | |
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Linear Equations: Where Lines Meet | |
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Concept Check and Review | |
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When Rates of Change | |
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Linear Patterns | |
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Bridge Science | |
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Correlation and Causation | |
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Fair Division of Assets | |
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Exponential Functions and Models | |
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Exponential Growth and Decay | |
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Exponential Models: Comparing Rates | |
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Comparing Linear and Exponential Growth | |
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Graphs of Exponential Functions | |
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Fitting Exponential Curves to Data | |
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Concept Check and Review | |
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Extreme Numbers: Scientific Notation | |
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So You Want to be a Millionaire? | |
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Linear Patterns | |
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Modeling Radioactivity with Coins and Dice | |
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Logarithms and Exponential Models | |
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Logarithmic Functions | |
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Laws of Logarithms | |
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Logarithmic Scales | |
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The Natural Exponential and Logarithmic Functions | |
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Exponential Equations: Getting Information from Model | |
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Working With Functions: Composition and Inverse | |
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Concept Check and Review | |
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Super Origami | |
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Orders of Magnitude | |
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Semi-Log Graphs | |
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The Even-Tempered Clavier | |
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Quadratic Functions and Models | |
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Working with Functions: Shifting and Stretching | |
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Quadratic Functions and their Graphs | |
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Maxima and Minima: Getting Information from a Model | |
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Quadratic Equations: Getting Information from a Model | |
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Fitting Quadratic Curves to Data | |
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Concept Check and Review | |
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Transformation Stories | |
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Toricelli's Law | |
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Quadratic Patterns | |
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Power, Polynomial, and Rational Functions | |
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Working with Functions: Algebraic Operations | |
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Power Functions: Positive Powers | |
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Polynomial Functions: Combining Power Functions | |
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Fitting Power and Polynomial Curves to Data | |
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Power Functions: Negative Powers | |
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Rational Functions | |
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Concept Check and Review | |
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Only in the Movies? | |
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Proportionality: Shape and Size | |
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Managing Traffic | |
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Alcohol and the Surge Function | |
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Systems of Equations and Categorical Data | |
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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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Using Matrices to Solve Systems of Linear Equations | |
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Matrices and Categorical Data | |
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Matrix Operations: Getting Information from Data | |
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Matrix Equations: Solving a Linear System | |
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Concept Check and Review | |
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Collecting Categorical Data | |
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Will the Species Survive? | |
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Working With Numbers | |
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Numbers and Their Properties | |
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The Number Line and Intervals | |
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Integer Exponents | |
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Radicals and Rational Exponents | |
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Working with Expressions | |
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Combining Algebraic Expressions | |
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Factoring Algebraic Expressions | |
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Rational Expressions | |
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Working with Equations | |
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Solving Basic Equations | |
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Solving Quadratic Equations | |
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Solving Basic Inequalities | |
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Working with Graphs | |
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The Coordinate Plane | |
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Graphs of Two-Variable Equations | |
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Using a Graphing Calculator | |
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Solving Equations and Inequalities Graphically | |