Chapter 1: Data and Linear Representations

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Presentation transcript:

Chapter 1: Data and Linear Representations Chapter 2: Numbers and Functions Chapter 3: Systems of Linear Equations & Inequalities Chapter 4: Matrices Chapter 5: Quadratic Functions Chapter 6: Exponential and Logarithmic Functions Chapter 7: Polynomial Functions Chapter 8: Rational Functions & Radical Functions Chapter 9: Conic Sections Chapter 10: Discrete Mathematics: Counting Principles and Probability Chapter 11: Discrete Mathematics: Series and Patterns Chapter 12: Discrete Mathematics: Statistics Chapter 13: Trigonometric Functions Chapter 14: Further Topics in Trigonometry

Chapter 1: Data and Linear Representations Lesson 1: Tables and Graphs of Equations Lesson 2: Slopes and Intercepts Lesson 3: Linear Equations in Two Variables Lesson 4: Direct Variation and Proportion Lesson 5: Scatter Plots and Least-Squares Lines Lesson 6: Introduction to Solving Equations Lesson 7: Introduction to Solving Inequalities Lesson 8: Solving Absolute-Value Equations and Inequalities

Chapter 2: Numbers and Functions Lesson 1: Operations with Numbers Lesson 2: Properties of Exponents Lesson 3: Introduction to Functions Lesson 4: Operations with Functions Lesson 5: Inverses of Functions Lesson 6: Special Functions Lesson 7: A Preview of Transformations

Chapter 3: Systems of Linear Equations & Inequalities Lesson 1: Solving Systems by Graphing or Substitution Lesson 2: Solving Systems by Elimination Lesson 3: Linear Inequalities in Two Variables Lesson 4: Systems of Linear Inequalities Lesson 5: Linear Programming Lesson 6: Parametric Equations

Chapter 4: Matrices Lesson 1: Using Matrices to Represent Data Lesson 2: Matrix Multiplication Lesson 3: The Inverse of a Matrix Lesson 4: Solving Systems With Matrix Equations Lesson 5: Using Matrix Row Operations

Chapter 5: Quadratic Functions Lesson 1: Introduction to Quadratic Equations Lesson 2: Introduction to Solving Quadratic Equations Lesson 3: Factoring Quadratic Equations Lesson 4: Completing the Square Lesson 5: The Quadratic Formula Lesson 6: Quadratic Equations and Complex Numbers Lesson 7: Curve Fitting With Quadratic Models Lesson 8: Solving Quadratic Inequalities

Chapter 6: Exponential and Logarithmic Functions Lesson 1: Exponential Growth and Decay Lesson 2: Exponential Functions Lesson 3: Logarithmic Functions Lesson 4: Properties of Logarithmic Functions Lesson 5: Applications of Common Logarithms Lesson 6: The Natural Base, e Lesson 7: Solving Equations and Modeling

Chapter 7: Polynomial Functions Lesson 1: An Introduction to Polynomials Lesson 2: Polynomial Functions and Their Graphs Lesson 3: Products and Factors of Polynomials Lesson 4: Solving Polynomials Equations Lesson 5: Zeros of Polynomial Functions

Chapter 8: Rational Functions & Radical Functions Lesson 1: Inverse, Joint, and Combined Variation Lesson 2: Rational Functions and Their Graphs Lesson 3: Multiplying and Dividing Rational Expressions Lesson 4: Adding and Subtracting Rational Expressions Lesson 5: Solving Rational Equations and Inequalities Lesson 6: Radical Expressions and Radical Functions Lesson 7: Simplifying Radical Expressions Lesson 8: Solving Radical Equations and Inequalities

Chapter 9: Conic Sections Lesson 1: Introduction to Conic Sections Lesson 2: Parabolas Lesson 3: Circles Lesson 4: Ellipses Lesson 5: Hyperbolas Lesson 6: Solving Non-Linear Systems

Chapter 10: Discrete Mathematics: Counting Principles and Probability Lesson 1: Introduction to Probability Lesson 2: Permutations Lesson 3: Combinations Lesson 4: Using Addition With Probability Lesson 5: Independent Events Lesson 6: Dependent Events and Conditional Probability Lesson 7: Experimental Probability and Simulation

Chapter 11: Discrete Mathematics: Series and Patterns Lesson 1: Sequences and Series Lesson 2: Arithmetic Sequences Lesson 3: Arithmetic Series Lesson 4: Geometric Sequences Lesson 5: Geometric Series and Mathematical Induction Lesson 6: Infinite Geometric Series Lesson 7: Pascal’s Triangle Lesson 8: The Binomial Theorem

Chapter 12: Discrete Mathematics: Statistics Lesson 1: Measures of Central Tendency Lesson 2: Stem-and-Leaf Plots, Histograms, and Circle Graphs Lesson 3: Box-and-Whiskers Plots Lesson 4: Measures of Dispersion Lesson 5: Binomial Distributions Lesson 6: Normal Distributions

Chapter 13: Trigonometric Functions Lesson 1: Right-Triangle Trigonometry Lesson 2: Angles of Rotation Lesson 3: Trigonometric Functions of Any Angle Lesson 4: Radian Measure and Arc Length Lesson 5: Graphing Trigonometric Functions Lesson 6: Inverses of Trigonometric Functions

Chapter 14: Further Topics in Trigonometry Lesson 1: The Law of Sines Lesson 2: The Law of Cosines Lesson 3: Fundamental Trigonometric Identities Lesson 4: Sum and Difference Identities Lesson 5: Double-Angle and Half-Angle Identities Lesson 6: Solving Trigonometric Equations