SEMESTER 1

Unit 1: Sequences and Functions

1-1 A Towering Sequence

1-2 Introducing Geometric Sequences

1-3 Different Types of Sequences

1-5 Sequences are Functions

1-7 Representing More Sequences

1-8 The nth Term

1-9 What's the Equation?

1-10 Situations and Sequence Types 

1-11 Adding Up

Unit 2: Polynomails and Rational Functions

2-1 Let's Make a Box

2-2 Funding the Future

2-3 Introducing Polynomials

2-4 Combining Polynomials

2-5 Connecting Factors and Zeros

2-6 Different Forms

2-7 Using Factors and Zeros

2-8 End Behavior (Part 1)

2-9 End Behavior (Part 2)

2-10 Multiplicity

2-11 Finding Intersections

2-12 Polynomial Division (Part 1)

2-13 Polynomial Division (Part 2)

2-15 The Remainder Theorem

2-16 Minimizing Surface Area

2-17 Graphs of Rational Functions (Part 1)

2-18 Graphs of Rational Functions (Part 2)

2-19 End Behaviors of Rational Functions

2-20 Rational Equations (Part 1)

2-21 Rational Equations (Part 2)

2-22 Solving Rational Equations

The Quadratic Formula

2-23 Polynomial Identities (Part 1)

2-24 Polynomial Identities (Part 2)

2-25 Summing Up

2-26 Using the Sum

Unit 3: Complex Numbers and Rational Exponenets

3-1  Properties of Exponents

3-2  Square Roots and Cube Roots

3-3 Exponents That are Unit Fractions

3-4 Positive Rational Exponents

3-5 Negative Rational Exponents

3-6 Squares and Square Roots

3-7 Inequivalent Equations

3-8 Cubes and Cube Roots

3-9 Solving Radical Equations

3-10 A New Kind of Number

3-11 Introducing the Number i

3-12 Arithmetic with Complex Numbers

3-13 Multiplying Complex Numbers

3-14 More Arithmetic with Complex Numbers

3-15 Working Backwards

SEMESTER 2

3-16 Solving Quadratics

3-17 Completing the Square and Complex Numbers

3-18 The Quadratic Formula and Complex Solutions

Unit 4:  Exponential Functions and Equations

4-1  Growing and Shrinking

4-2 Representations of Growth and Decay

4-3 Understanding Rational Inputs

4-4 Representing Functions as Rational Inputs

4-5 Changes Over Rational Intervals

4-6 Writing Equations for Exponential Functions

4-7 Interpreting and Using Exponential Functions

4-8 Unknown Exponents

4-9 What is a Logarithm?

4-10 Interpreting and Writing Logarithmic Equations

4-11 Evaluating Logarithmic Expressions

4-12 The Number e

4-13 Exponential Functions with Base e

4-14 Solving Exponential Equations

Unit 5: Transformations of Functions

5.1 Matching Up to Data

5.2 Moving Functions

5.3 More Movement

5.4 Reflecting Functions

5.5 Some Functions Have Symmetry

5.6 Symmetry in Equations

5.7 Expressing Transformations of Functions Algebraically

5.8 Scaling the Outputs

5.9 Scaling the Inputs

5.10 Combining Functions

5.11 Making a Model for Data

Unit 6: Trigonometric Functions

6.1 Moving in Circles

6.2 Revisiting Right Triangles

6.3 The Unit Circle (Part 1)

6.4 The Unit Circle (Part 2)

6.5 The Pythagorean Identity (Part 1)

6.6 The Pythagorean Identity (Part 2)

6.7 Finding Unknown Coordinates on a Circles

6.8 Rising and Falling

6.9 Introduction to Trigonometric Functions

6.10 Beyond 2pi

6.11 Extending the Domain of Trigonometric Functions

6.12 Tangent

6.13 Amplitude and Midline

6.14 Transforming Trigonometric Functions

6.15 Features of Trigonometric Graphs (Part 1)

6.16 Features of Trigonometric Graphs (Part 2)

6.17 Comparing Transformations

6.18 Modeling Circular Motion

6.19 Beyond Circles

Unit 7:  Statistical Inferences

7-1  Being Skeptical

7-2 Study Types

7-3 Randomness in Groups

7-4 Describing Distributions

7-5 Normal Distributions

7-6 Areas in Histograms

7-7 Area Under the Normal Curve