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Unit 1: Functions and Equations |
Module 1 – Analyze Functions |
Lesson 1: Domain, Range, and End Behavior |
Lesson 2: Characteristics of Function and Graphs |
Lesson 3: Transformations of Function Graphs |
Lesson 4: Transformations of Absolute Value and Quadratic Functions |
Lesson 5: Compare Functions Across Representations |
Module 2 – Solve Quadratic Equations and Systems |
Lesson 1: Use Square Roots to Solve Quadratic Equations |
Lesson 2: Operations with Complex Numbers |
Lesson 3: Derive and Apply the Quadratic Formula |
Lesson 4: Solve Linear-Quadratic Systems |
Unit 2: Polynomial Functions and Equations |
Module 3 – Polynomial Functions |
Lesson 1: Graph Polynomial Functions |
Lesson 2: Analyze Graphs of Polynomial Functions |
Module 4 – Function Operations and Polynomials |
Lesson 1: Function Operations |
Lesson 2: Add and Subtract Polynomials |
Lesson 3: Multiply Polynomials |
Lesson 4: Factor Polynomials |
Lesson 5: Divide Polynomials |
Module 5 – Polynomial Equations |
Lesson 1: Solve Polynomial Equations |
Lesson 2: The Fundamental Theorem of Algebra |
Unit 3: Rational Exponents and Radical Functions |
Module 6 – Rational Exponents and Radical Operations |
Lesson 1: Rational Exponents and nth Roots |
Lesson 2: Properties of Rational Exponents and Radicals |
Module 7 – Radical Functions and Equations |
Lesson 1: Inverse Functions and Function Composition |
Lesson 2: Inverses of Quadratic and Cubic Functions |
Lesson 3: Graph Square Root Functions |
Lesson 4: Graph Cube Root Functions |
Lesson 5: Solve Radical Equations |
Unit 4: Exponential and Logarithmic Functions and Equations |
Module 8 – Exponential Functions |
Lesson 1: Exponential Growth and Decay Functions |
Lesson 2: The Natural Base e |
Lesson 3: Compound Interest |
Module 9 – Logarithmic Functions |
Lesson 1: Logarithms and Logarithmic Functions |
Lesson 2: Graph Logarithmic Functions |
Lesson 3: Create Exponential and Logarithmic Functions |
Module 10 – Exponential and Logarithmic Equations |
Lesson 1: Properties of Logarithms |
Lesson 2: Solve Exponential Equations |
Lesson 3: Solve Logarithmic Equations |
Unit 5: Rational Functions and Equations |
Module 11 – Rational Functions |
Lesson 1: Inverse Variation |
Lesson 2: Graph Simple Rational Functions |
Lesson 3: Graph More Complicated Rational Functions |
Module 12 – Rational Expressions and Equations |
Lesson 1: Multiply and Divide Rational Expressions |
Lesson 2: Add and Subtract Rational Expressions |
Lesson 3: Solve Rational Equations |
Unit 6: Sequences and Series |
Module 13 – Explicit Formulas for Sequences and Series |
Lesson 1: Define Sequences and Series |
Lesson 2: Arithmetic Sequences and Series |
Lesson 3: Geometric Sequences and Series |
Module 14 – Recursive Formulas for Sequences |
Lesson 1: Recursive Formulas for Arithmetic Sequences |
Lesson 2: Recursive Formulas for Geometric Sequences |
Unit 7: Trigonometric Functions and Identities |
Module 15 – Unit-Circle Definition of Trigonometric Functions |
Lesson 1: Angles of Rotation and Radian Measure |
Lesson 2: Define and Evaluate the Basic Trigonometric Functions |
Lesson 3: Use a Pythagorean Identity |
Module 16 – Graph Trigonometric Functions |
Lesson 1: Graph Sine and Cosine Functions |
Lesson 2: Graph Tangent Functions |
Lesson 3: Translations of Trigonometric Graphs |
Lesson 4: Model Periodic Phenomena with Trigonometric Functions |
Unit 8: Probability |
Module 17 – Probability of Compound Events |
Lesson 1: Theoretical and Experimental Probability |
Lesson 2: Two-Way Tables and Probability |
Lesson 3: Mutually Exclusive and Inclusive Events |
Module 18 – Probability and Decision Making |
Lesson 1: Conditional Probability |
Lesson 2: Dependent and Independent Events |
Lesson 3: Analyze Decisions |
Unit 9: Statistics |
Module 19 – Data Distributions |
Lesson 1: Probability Distributions |
Lesson 2: Normal Distributions |
Lesson 3: Data-Gathering Techniques |
Lesson 4: Sampling Distributions |
Module 20 – Make Inferences from Data |
Lesson 1: Confidence Intervals and Margins of Error |
Lesson 2: Surveys, Experiments, and Observational Studies |
Lesson 3: Make Inferences from Experimental Data |