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Lesson 1-1: One-Variable Equations |
Lesson 1-2: Two-Variable Equations |
Lesson 1-3: Absolute Value Equations and Inequalities |
Lesson 2-1: Graphing Two-Variable Equations |
Lesson 2-2: Graphing Systems of Inequalities |
Lesson 3-1: Solving Systems of Two Equations in Two Variables |
Lesson 3-2: Solving Systems of Three Equations in Three Variables |
Lesson 3-3: Matrix Operations |
Lesson 3-4: Solving Matrix Equations |
Lesson 4-1: Introduction to Piecewise-Defined Functions |
Lesson 4-2: Step Functions and Absolute Value Functions |
Lesson 4-3: Transforming the Absolute Value Parent Function |
Lesson 5-1: Operations with Functions |
Lesson 5-2: Function Composition |
Lesson 5-3: More Function Composition |
Lesson 6-1: Finding Inverse Functions |
Lesson 6-2: Graphs of Inverse Functions |
Lesson 7-1: Analyzing a Quadratic Function |
Lesson 7-2: Factoring Quadratic Expressions |
Lesson 7-3: Solving Quadratic Equations by Factoring |
Lesson 7-4: More Uses for Factors |
Lesson 8-1: The Imaginary Unit, i |
Lesson 8-2: Operations with Complex Numbers |
Lesson 8-3: Factoring with Complex Numbers |
Lesson 9-1: Completing the Square and Taking Square Roots |
Lesson 9-2: The Quadratic Formula |
Lesson 9-3: Solutions of Quadratic Equations |
Lesson 10-1: Parabolas and Quadratic Equations |
Lesson 10-2: Writing a Quadratic Function Given Three Points |
Lesson 10-3: Quadratic Regression |
Lesson 11-1: Translations of Parabolas |
Lesson 11-2: Shrinking, Stretching, and Reflecting Parabolas |
Lesson 11-3: Vertex Form |
Lesson 12-1: Key Features of Quadratic Functions |
Lesson 12-2: More Key Features of Quadratic Functions |
Lesson 12-3: Graphing Quadratic Functions |
Lesson 12-4: The Discriminant |
Lesson 12-5: Graphing Quadratic Inequalities |
Lesson 13-1: Solving a System Graphically |
Lesson 13-2: Solving a System Algebraically |
Lesson 14-1: Polynomials |
Lesson 14-2: Some Attributes of Polynomial Functions |
Lesson 14-3: Even and Odd Functions |
Lesson 15-1: Adding and Subtracting Polynomials |
Lesson 15-2: Multiplying Polynomials |
Lesson 15-3: Dividing Polynomials |
Lesson 16-1: Introduction to Pascal’s Triangle |
Lesson 16-2: Applying the Binomial Theorem |
Lesson 17-1: Algebraic Methods |
Lesson 17-2: The Fundamental Theorem of Algebra |
Lesson 18-1: Graphing Polynomial Functions |
Lesson 18-2: Finding the Roots of a Polynomial Function |
Lesson 18-3: Comparing Polynomial Functions |
Lesson 19-1: Arithmetic Sequences |
Lesson 19-2: Arithmetic Series |
Lesson 19-3: Sigma Notation |
Lesson 20-1: Geometric Sequences |
Lesson 20-2: Geometric Series |
Lesson 20-3: Convergence of Series |
Lesson 21-1: Exploring Exponential Patterns |
Lesson 21-2: Exponential Functions |
Lesson 21-3: Exponential Graphs and Asymptotes |
Lesson 21-4: Transforming Exponential Functions |
Lesson 21-5: Natural Base Exponential Functions |
Lesson 22-1: Exponential Data |
Lesson 22-2: The Common Logarithm Function |
Lesson 22-3: Properties of Logarithms |
Lesson 22-4: More Properties of Logarithms |
Lesson 23-1: Logarithms in Other Bases |
Lesson 23-2: Properties of Logarithms and the Change of Base Formula |
Lesson 23-3: Graphs of Logarithmic Functions |
Lesson 24-1: Exponential Equations |
Lesson 24-2: Solving Equations by Using Logarithms |
Lesson 24-3: Logarithmic Equations |
Lesson 24-4: Exponential and Logarithmic Inequalities |
Lesson 25-1: Square Root Functions |
Lesson 25-2: Solving Square Root Equations |
Lesson 25-3: Cube Root Functions |
Lesson 25-4: Solving Cube Root Equations |
Lesson 26-1: Square Root Functions and Regressions |
Lesson 26-2: Square Root and Quadratic Functions |
Lesson 26-3: Cube Root and Cubic Functions |
Lesson 27-1: Formulating and Graphing a Rational Function |
Lesson 27-2: Formulating and Graphing More Rational Functions |
Lesson 27-3: Identifying Asymptotes |
Lesson 28-1: Inverse Variation and Combined Variation |
Lesson 28-2: Transformations of the Parent Rational Function |
Lesson 29-1: Multiplying and Dividing Rational Expressions |
Lesson 29-2: Adding and Subtracting Rational Expressions |
Lesson 29-3: Finding Horizontal and Vertical Asymptotes |
Lesson 29-4: Graphing Rational Functions |
Lesson 30-1: Solving Rational Equations |
Lesson 30-2: Solving Rational Inequalities |
Lesson 31-1: Radian Measure |
Lesson 31-2: Applying Radian Measure |
Lesson 32-1: Placing the Unit Circle on the Coordinate Plane |
Lesson 32-2: Special Right Triangles and the Unit Circle |
Lesson 33-1: The Pythagorean Identity |
Lesson 33-2: Other Trigonometric Identities |
Lesson 34-1: Periodic Functions |
Lesson 34-2: The Sine Function |
Lesson 34-3: The Cosine Function |
Lesson 34-4: The Tangent Function |
Lesson 34-5: Translating Trigonometric Functions |
Lesson 35-1: Modeling Periodic Phenomena |
Lesson 36-1: Shapes of Distributions |
Lesson 36-2: Characteristics of the Normal Distribution |
Lesson 36-3: Z-Scores and their Probabilities |
Lesson 36-4: Modeling with the Normal Distribution |
Lesson 37-1: Surveys |
Lesson 37-2: Experiments |
Lesson 37-3: Observational Studies |
Lesson 38-1: Devising Simulations |
Lesson 38-2: Confirming Data with Simulations |
Lesson 39-1: Introduction to Margin of Error |
Lesson 39-2: Computing Margin of Error |
Lesson 40-1: Random Chance |
Lesson 40-2: Testing Statistical Significance |