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Unit 1: Real Numbers and Connections to Algebra |
Module 1 – Real Numbers and Real-World Quantities |
Lesson 1: Real Numbers |
Lesson 2: Radicals and Rational Exponents |
Lesson 3: Precision and Accuracy in Calculations |
Module 2 – Linear Equations and Inequalities in One Variable |
Lesson 1: Write, Interpret, and Simplify Expressions |
Lesson 2: Write and Solve Equations |
Lesson 3: Rewrite Formulas and Solve Literal Equations |
Lesson 4: Write and Solve Inequalities |
Lesson 5: Write and Solve Compound Inequalities |
Unit 2: Linear Functions and Equations |
Module 3 – Linear Equations in Two Variables |
Lesson 1: Linear Equations in Standard Form |
Lesson 2: Slopes of Lines and Rates of Change |
Module 4 – Linear Functions and Models |
Lesson 1: Relations and Functions |
Lesson 2: Linear Functions |
Lesson 3: Characteristics of Linear Functions |
Lesson 4: Linear Models and Point-Slope Form |
Module 5 – Relationships Among Linear Functions |
Lesson 1: Transform Graphs of Functions |
Lesson 2: Transform Linear Functions |
Lesson 3: Compare Linear Functions |
Lesson 4: Inverses of Linear Functions |
Unit 3: Build Linear Functions and Models |
Module 6 – Fit Linear Functions to Data |
Lesson 1: Scatter Plots, Correlation, and Fitted Lines |
Lesson 2: Residuals and Best-Fit Lines |
Module 7 – Discrete Linear Functions |
Lesson 1: Arithmetic Sequences Defined Recursively |
Lesson 2: Arithmetic Sequences Defined Explicitly |
Module 8 – Piecewise-Defined Functions |
Lesson 1: Graph Piecewise-Defined Functions |
Lesson 2: Graph Absolute Value Functions |
Lesson 3: Solve Absolute Value Equations and Inequalities |
Unit 4: Linear Systems |
Module 9 – Systems of Linear Equations |
Lesson 1: Solve Linear Systems by Graphing |
Lesson 2: Solve Linear Systems by Substitution |
Lesson 3: Solve Linear Systems by Adding or Subtracting |
Lesson 4: Solve Linear Systems by Multiplying First |
Module 10 – Linear Inequalities |
Lesson 1: Linear Inequalities in Two Variables |
Lesson 2: Graph Systems of Linear Inequalities |
Unit 5: Exponential Functions and Equations |
Module 11 – Exponential Functions and Models |
Lesson 1: Exponential Growth Functions |
Lesson 2: Exponential Decay Functions |
Lesson 3: Rewrite Exponential Models |
Module 12 – Relationships Among Exponential Functions |
Lesson 1: Transform Exponential Functions |
Lesson 2: Compare Exponential Functions |
Unit 6: Build Exponential Functions and Models |
Module 13 – Fit Exponential Functions to Data |
Lesson 1: Scatter Plots and Fitted Exponential Curves |
Lesson 2: Choose Between Linear and Exponential Models |
Module 14 – Discrete Exponential Functions |
Lesson 1: Geometric Sequences Defined Recursively |
Lesson 2: Geometric Sequences Defined Explicitly |
Unit 7: Polynomial Operations and Models |
Module 15 – Polynomial Multiplication |
Lesson 1: Multiply Monomials |
Lesson 2: Multiply Monomials, Binomials, and Trinomials |
Lesson 3: Special Products of Binomials |
Module 16 – Polynomial Addition and Subtraction |
Lesson 1: Add and Subtract Polynomials |
Lesson 2: Model with Polynomials |
Unit 8: Quadratic Functions and Equations |
Module 17 – Use Graphing and Factoring to Solve Quadratic Equations |
Lesson 1: Solve Quadratic Equations by Graphing Quadratic Functions |
Lesson 2: Solve Quadratic Equations by Factoring x2+bx+c |
Lesson 3: Solve Quadratic Equations by Factoring ax2+bx+c |
Lesson 4: Use Special Factoring Patterns to Solve Quadratic Equations |
Module 18 – Use Square Roots to Solve Quadratic Equations |
Lesson 1: Solve Simple Quadratic Equations |
Lesson 2: Solve Quadratic Equations by Completing the Square |
Lesson 3: Use the Quadratic Formula to Solve Equations |
Lesson 4: Choose a Method for Solving Quadratic Equations |
Unit 9: Functions and Models |
Module 19 – Build Quadratic Functions and Models |
Lesson 1: Quadratic Functions in Vertex Form |
Lesson 2: Quadratic Functions in Standard Form |
Lesson 3: Quadratic Functions in Intercept Form |
Lesson 4: Compare Quadratic Functions |
Lesson 5: Scatter Plots and Fitted Quadratic Curves |
Module 20 – Function Analysis |
Lesson 1: Choose Among Linear, Exponential, and Quadratic Models |
Lesson 2: Perform Operations with Functions |
Lesson 3: Solve Nonlinear Systems |
Lesson 4: Cubic Functions |
Unit 10: Data Analysis |
Module 21 – Categorical Data |
Lesson 1: Two-Way Frequency and Relative Frequency Tables |
Lesson 2: Recognize Possible Associations Between Categorical Variables |
Module 22 – Numerical Data |
Lesson 1: Data Distributions and Appropriate Statistics |
Lesson 2: Compare Data Distributions |