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| Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs |
| Lesson 1: Graphs of Piecewise Linear Functions |
| Lesson 2: Graphs of Quadratic Functions |
| Lesson 3: Graphs of Exponential Functions |
| Lesson 4: Analyzing Graphs – Water Usage During a Typical Day at School |
| Lesson 5: Two Graphing Stories |
| Lesson 6: Algebraic Expressions – The Distributive Property |
| Lesson 7: Algebraic Expressions – The Commutative and Associative Properties |
| Lesson 8: Adding and Subtracting Polynomials |
| Lesson 9: Multiplying Polynomials |
| Lesson 10: True and False Equations |
| Lesson 11: Solution Sets for Equations and Inequalities |
| Lesson 12: Solving Equations |
| Lesson 13: Some Potential Dangers when Solving Equations |
| Lesson 14: Solving Inequalities |
| Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or” |
| Lesson 16: Solving and Graphing Inequalities Joined by “And” or “Or” |
| Lesson 17: Equations Involving Factored Expressions |
| Lesson 18: Equations Involving a Variable Expression in the Denominator |
| Lesson 19: Rearranging Formulas |
| Lesson 20: Solution Sets to Equations with Two Variables |
| Lesson 21: Solution Sets to Inequalities with Two Variables |
| Lesson 22: Solution Sets to Simultaneous Equations |
| Lesson 23: Solution Sets to Simultaneous Equations |
| Lesson 24: Applications of Systems of Equations and Inequalities |
| Lesson 25: Solving Problems in Two Ways – Rates and Algebra |
| Lessons 26 & 27: Recursive Challenge Problem – The Double and Add 5 Game |
| Lesson 28: Federal Income Tax |
| Module 2: Descriptive Statistics |
| Lesson 1: Distributions and Their Shapes |
| Lesson 2: Describing the Center of a Distribution |
| Lesson 3: Estimating Centers and Intrepreting the Mean as a Balance Point |
| Lesson 4: Summarizing Deviations from the Mean |
| Lesson 5: Measuring Variability for Symmetrical Distributions |
| Lesson 6: Intrepreting the Standard Deviation |
| Lesson 7: Measuring Variability for Skewed Distributions (Interquartile Range) |
| Lesson 8: Comparing Distributions |
| Lesson 9: Summarizing Bivariate Categorical Data |
| Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies |
| Lesson 11: Conditional Relative Frequencies and Association |
| Lessons 12 & 13: Relationships Between Two Numerical Variables |
| Lesson 14: Modeling Relationships with a Line |
| Lesson 15: Interpreting Residuals from a Line |
| Lesson 16: More on Modeling Relationships with a Line |
| Lessons 17 & 18: Analyzing Residuals |
| Lesson 19: Interpreting Correlation |
| Lesson 20: Analyzing Data Collected on Two Variables |
| Module 3: Linear and Exponential Functions |
| Lesson 1: Integer Sequences – Should You Believe in Patterns? |
| Lesson 2: Recursive Formulas for Sequences |
| Lesson 3: Arithmetic and Geometric Sequences |
| Lesson 4: Why Do Banks Pay YOU to Provide Their Services? |
| Lesson 5: The Power of Exponential Growth |
| Lesson 6: Exponential Growth – U.S. Population and World Population |
| Lesson 7: Exponential Decay |
| Lesson 8: Why Stay with Whole Numbers? |
| Lessons 9 & 10: Representing, Naming, and Evaluating Functions |
| Lesson 11: The Graph of a Function |
| Lesson 12: The Graph of the Equation 𝒚 = 𝒇(𝒙) |
| Lesson 13: Interpreting the Graph of a Function |
| Lesson 14: Linear and Exponential Models – Comparing Growth Rates |
| Lesson 15: Piecewise Functions |
| Lesson 16: Graphs Can Solve Equations Too |
| Lessons 17–20: Four Interesting Transformations of Functions |
| Lesson 21: Comparing Linear and Exponential Models Again |
| Lesson 22: Modeling an Invasive Species Population |
| Lesson 23: Newton’s Law of Cooling |
| Lesson 24: Piecewise and Step Functions in Context |
| Module 4: Polynomial and Quadratic Expressions, Equations, and Functions |
| Lessons 1 & 2: Multiplying and Factoring Polynomial Expressions |
| Lesson 3: Advanced Factoring Strategies for Quadratic Expressions |
| Lesson 4: Advanced Factoring Strategies for Quadratic Expressions |
| Lesson 5: The Zero Product Property |
| Lesson 6: Solving Basic One-Variable Quadratic Equations |
| Lesson 7: Creating and Solving Quadratic Equations in One Variable |
| Lesson 8: Exploring the Symmetry in Graphs of Quadratic Functions |
| Lesson 9: Graphing Quadratic Functions from Factored Form, 𝒇(𝒙) = 𝒂(𝒙 − 𝒎)(𝒙 − 𝒏) |
| Lesson 10: Interpreting Quadratic Functions from Graphs and Tables |
| Lessons 11 & 12: Completing the Square |
| Lesson 13: Solving Quadratic Equations by Completing the Square |
| Lesson 14: Deriving the Quadratic Formula |
| Lesson 15: Using the Quadratic Formula |
| Lesson 16: Graphing Quadratic Equations from the Vertex Form, 𝒚 = 𝒂(𝒙 − 𝒉)2 + 𝒌 |
| Lesson 17: Graphing Quadratic Functions from the Standard Form, 𝒇(𝒙) = 𝒂𝒙2 + 𝒃𝒙 + c |
| Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions |
| Lesson 19: Translating Graphs of Functions |
| Lesson 20: Stretching and Shrinking Graphs of Functions |
| Lesson 21: Transformations of the Quadratic Parent Function, 𝒇(𝒙) = 𝒙2 |
| Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways |
| Lessons 23 & 24: Modeling with Quadratic Functions |
| Module 5: A Synthesis of Modeling with Equations and Functions |
| Lesson 1: Analyzing a Graph |
| Lesson 2: Analyzing a Data Set |
| Lesson 3: Analyzing a Verbal Description |
| Lesson 4: Modeling a Context from a Graph |
| Lesson 5: Modeling from a Sequence |
| Lesson 6: Modeling a Context from Data |
| Lesson 7: Modeling a Context from Data |
| Lessons 8 & 9: Modeling a Context from a Verbal Description |