Chapter 1 - Foundations for Functions
Lesson 1-1 – Exploring Transformations
Lesson 1-2 – Introduction to Parent Functions
Lesson 1-3 – Transforming Linear Functions
Lesson 1-4 – Curve Fitting with Linear Models
Chapter 2 - Quadratic Functions
Lesson 2-1 – Using Transformations to Graph Quadratic Functions .
Lesson 2-5 – Complex Numbers and Roots
Lesson 2-9 – Operations with Complex Numbers
Lesson 2-2 – Properties of Quadratic Functions in Standard Form .
Lesson 2-6 – The Quadratic Formula
Lesson 2-3 – Solving Quadratic Equations by Graphing and Factoring .
Lesson 2-7 – Solving Quadratic Inequalities
Lesson 2-4 – Completing the Square .
Lesson 2-8 – Curve Fitting with Quadratic Models
Chapter 3 - Polynomial Functions
Lesson 3-1 – Polynomials .
Lesson 3-5 – Finding Real Roots of Polynomial Equations
Lesson 3-9 – Curve Fitting with Polynomial Models
Lesson 3-1 – Multiplying Polynomials
Lesson 3-6 – Fundamental Theorem of Algebra
Lesson 3-3 – Dividing Polynomials .
Lesson 3-7 – Investigating Graphs of Polynomial Functions
Lesson 3-4 – Factoring Polynomials .
Lesson 3-8 – Transforming Polynomial Functions
Chapter 4 - Exponential and Logarithmic Functions
Lesson 4-1 – Exploring Functions, Growth and Decay
Lesson 4-5 – Exponential and Logarithmic Equations and Inequalities
Lesson 4-2 – Inverse Relations and Functions
Lesson 4-6 – The Natural Base, e
Lesson 4-3 – Logarithmic Functions
Lesson 4-7 – Transforming Exponential and Logarithmic Functions
Lesson 4-4 – Properties of Logarithms
Lesson 4-8 – Curve Fitting with Exponential and Logarithmic Models
Chapter 5 - Rational and Radical Functions
Lesson 5-1 – Variation Functions
Lesson 5-5 – Solving Rational Equations and Inequalities
Lesson 5-2 – Multiplying and Dividing Rational Expressions
Lesson 5-6 – Radical Expressions and Rational Exponents
Lesson 5-3 – Adding and Subtracting Rational Expressions
Lesson 5-7 – Radical Functions
Lesson 5-4 – Rational Functions
Lesson 5-8 – Solving Radical Equations and Inequalities
Chapter 6 - Properties and Attributes of Functions
Lesson 6-1 – Multiple Representations of Functions
Lesson 6-5 – Operations with Functions
Lesson 6-2 – Comparing Functions
Lesson 6-6 – Functions and their Inverses
Lesson 6-3 – Piecewise Functions
Lesson 6-7 – Modeling Real-World Data
Lesson 6-4 – Transforming Functions
Chapter 7 - Probability
Lesson 7-1 – Permutations and Combinations
Lesson 7-5 – Compound Events
Lesson 7-2 – Theoretical And Experimental Probability
Lesson 7-3 – Independent and Dependent Events
Lesson 7-4 – Two-Way Tables
Chapter 8 - Data Analysis and Statistics
Lesson 8-1 – Measures of Central Tendency and Variation
Lesson 8-5 – Sampling Distributions
Lesson 8-2 – Data Gathering
Lesson 8-6 – Binomial Distributions
Lesson 8-3 – Surveys, Experiments, and Observational Studies
Lesson 8-7 – Fitting to a Normal Distribution
Lesson 8-4 – Significance of Experimental Results
Lesson 8-8 – Analyzing Decisions
Chapter 9 - Sequences and Series
Lesson 9-1 – Introduction to Sequences
Lesson 9-5 – Mathematical Induction and Infinite Geometric Series
Lesson 9-2 – Series and Summation Notation
Lesson 9-3 – Arithmetic Sequences and Series
Lesson 9-4 – Geometric Sequences and Series
Chapter 10 - Trigonometric Functions
Lesson 10-1 – Right Angle Trigonometry
Lesson 10-5 – Law of Sines
Lesson 10-2 – Angles of Rotations
Lesson 10-6 – Law of Cosines
Lesson 10-3 – The Unit Circle
Lesson 10-4 – Inverses of Trigonometric functions
Chapter 11 - Trigonometric Graphs and Identities
Lesson 11-1 – Graphs of Sine and Cosine
Lesson 11-5 – Double Angle and Half Angle Identities
Lesson 11-2 – Graphs of other Trigonometric functions
Lesson 11-6 – Solving Trigonometric Equations
Lesson 11-3 – Fundamental Trigonometric Identities
Lesson 11-4 – Sum and Difference Identities
Chapter 12 - Conic Sections
Lesson 12-1 – Introduction to Conic Sections
Lesson 12-5 – Parabolas
Lesson 12-2 – Circles
Lesson 12-6 – Identifying Conic Sections
Lesson 12-3 – Ellipses
Lesson 12-7 – Solving Non-Linear Systems
Lesson 12-4 – Hyperbolas