Topics and Objectives (Module 1) |
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Introduction to Functions Studied This Year - Graphing Stories Module 1 Overview Topic A Overview Lesson 1: Graphs of Piecewise Linear Functions (Video) Lesson 2:Graphs of Quadratic Functions (Video) Lesson 3: Graphs of Exponential Functions (Video) Lesson 4: Analyzing Graphs - Water Usage During a Typical Day at School (Video) Lesson 5: Two Graphing Stories (Video) |
The Structure of Expressions Topic B Overview Lesson 6: Algebraic Expressions - The Distributive Property (Video) Lesson 7: Algebraic Expressions - The Commutative and Associative Properties (Video) Lesson 8: Adding and Subtracting Polynomials (Video) Lesson 9: Multiplying Polynomials (Video) |
Mid-Module Assessment |
Solving Equations and Inequalities Topic C Overview Lesson 10: True and False Equations (Video) Lesson 11: Solution Sets for Equations and Inequalities (Video) Lesson 12: Solving Equations (Video) Lesson 13: Some Potential Dangers when Solving Equations (Video) Lesson 14: Solving Inequalities (video) Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or” (Video) Lesson 16: Solving and Graphing Inequalities Joined by “And” or “Or” (Video) Lesson 17: Equations Involving Factored Expressions (Video) Lesson 18: Equations Involving a Variable Expression in the Denominator (Video) Lesson 19: Rearranging Formulas (Video) Lesson 20, Lesson 21: Solution Sets to Equations and Inequalities with Two Variables (Video) (Video) Lesson 22, Lesson 23: Solution Sets to Simultaneous Equations (Video) (Video) Lesson 24: Applications of Systems of Equations and Inequalities (Video) |
Creating Equations to Solve Problems Topic D Overview Lesson 25: Solving Problems in Two Ways - Rules and Algebra (Video) Lesson 26, Lesson 27:Recursive Challenge Problem - The Double and Add 5 Game (Video) Lesson 28: Federal Income Tax (Video) |
End-of-Module Assessment |
Topics and Objectives (Module 2) |
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Shapes and Centers of Distributions Module 2 Overview Topic A Overview Lesson 1: Distributions and Their Shapes (Video) Lesson 2: Describing the Center of a Distribution (Video) Lesson 3: Estimating Centers and Interpreting the Mean as a Balance Point (Video) |
Describing Variability and Comparing Distributions Topic B Overview Lesson 4: Summarizing Deviations from the Mean (Video) Lesson 5: Measuring Variability for Symmetrical Distributions (Video) Lesson 6: Interpreting the Standard Deviation (Video) Lesson 7: Measuring Variability for Skewed Distributions (Interquartile Range) (Video) Lesson 8: Comparing Distributions (Video) |
Mid-Module Assessment |
Categorical Data on Two Variables Topic C Overview Lesson 9: Summarizing Bivariate Categorical Data (Video) Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies (Video) Lesson 11: Conditional Relative Frequencies and Association (Video) |
Numerical Data on Two Variables Topic D Overview Lesson 12, Lesson 13: Relationships between Two Numerical Variables (Video) Lesson 14: Modeling Relationships with a Line (Video) Lesson 15: Interpreting Residuals from a Line (Video) Lesson 16: More on Modeling Relationships with a Line (Video) Lesson 17, Lesson 18: Analyzing Residuals (Video) Lesson 19: Interpreting Correlation (Video) Lesson 20: Analyzing Data Collected on Two Variables |
End-of-Module Assessment |
Topics and Objectives (Module 3) |
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Linear and Exponential Sequences Module 3 Overview Topic A Overview Lesson 1: Integer Sequences - Should You Believe in Patterns? (Video) Lesson 2: Recursive Formulas for Sequences (Video) Lesson 3: Arithmetic and Geometric Sequences (Video) Lesson 4: Why Do Banks Pay YOU to Provide Their Services? (Video) Lesson 5: The Power of Exponential Growth (Video) Lesson 6: Exponential Growth - U.S. Population and World Population (Video) Lesson 7: Exponential Decay (Video) |
Functions and Their Graphs Topic B Overview Lesson 8: Why Stay with Whole Numbers? (Video) Lesson 9, Lesson 10: Representing, Naming, and Evaluating Functions (Video) Lesson 11: The Graph of a Function (Video) Lesson 12: The Graph of the Equation y=f(x) (Video) Lesson 13: Interpreting the Graph of a Function (Video) Lesson 14: Linear and Exponential Models - Comparing Growth Rates (Video) |
Mid-Module Assessment |
Transformations of Functions Topic C Overview Lesson 15: Piecewise Functions (Video) Lesson 16: Graphs Can Solve Equations Too (Video) Lesson 17, Lesson 18, Lesson 19, Lesson 20: Four Interesting Transformations of Functions (Video) |
Using Functions and Graphs to Solve Problems Topic D Overview Lesson 21: Comparing Linear and Exponential Models Again (Video) Lesson 22: Modeling an Invasive Species Population (Video) Lesson 23: Newton's Law of Cooling (Video) Lesson 24: Piecewise and Step Functions in Context (Video) |
End-of-Module Assessment |
Topics and Objectives (Module 4) |
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Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles Module 4 Overview Topic A Overview Lesson 1, Lesson 2: Multiplying and Factoring Polynomial Expressions (Video) Lesson 3, Lesson 4: Advanced Factoring Strategies for Quadratic Expressions (Video) Lesson 5: The Zero-Product Property (Video) Lesson 6: Solving Basic One-Variable Quadratic Equations (Video) Lesson 7: Creating and Solving Quadratic Equations in One Variable (Video) Lesson 8: Exploring the Symmetry in Graphs of Quadratic Functions (Video) Lesson 9: Graphing Quadratic Functions from Factored Form, f(x)=a(x-m)(x-n) (Video) Lesson 10: Interpreting Quadratic Functions from Graphs and Tables (Video) |
Mid-Module Assessment |
Using Different Forms for Quadratic Functions Topic B Overview Lesson 11, Lesson 12: Completing the Square (Video) Lesson 13: Solving Equations by Completing the Square (Video) Lesson 14: Deriving the Quadratic Formula (Video) Lesson 15: Using the Quadratic Formula (Video) Lesson 16: Graphing Quadratic Equations From the Vertex Form, y=a(x-h)^{2}+k (Vide0) Lesson 17: Graphing Quadratic Functions From the Standard Form, f(x)=ax^{2}+bx+c (Video) |
Function Transformations and Modeling Topic C Overview Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions Lesson 19: Translating Functions (Video) Lesson 20: Stretching and Shrinking Graphs of Functions (Video) Lesson 21: Transformations of the Quadratic Parent Function, f(x)=x^{2} (Video) Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways (Video) Lesson 23, Lesson 24: Modeling with Quadratic Functions (Video) |
End-of-Module Assessment |
Topics and Objectives (Module 5) |
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Elements of Modeling Module 5 Overview Topic A Overview Lesson 1: Analyzing a Graph Lesson 2: Analyzing a Data Set Lesson 3: Analyzing a Verbal Description |
Completing the Modeling Cycle Topic B Overview Lesson 4: Modeling a Context from a Graph Lesson 5: Modeling from a Sequence Lesson 6, Lesson 7: Modeling a Context from Data Lesson 8, Lesson 9: Modeling a Context from a Verbal Description |
End-of-Module Assessment |
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