Chapter 1 Linear Relations and Functions
1-1 Relations and Functions
1-2 Composition of Functions
1-3 Graphing Linear Equations
1-4 Writing Equations
1-5 Writing Equations of Parallel and Perpendicular Lines
1-6 Modeling Real-World Data with Linear Functions
1-7 Piecewise and Absolute Value Functions
1-8 Graphing Linear Inequalities
Review Materials
Chapter 2 Systems of Linear Equations and Inequalities
2-1 Solving Systems of Equations in Two Variables
2-2 Solving Systems of Equations in Three Variables
2-3 Using Matrices to Model Real-World Data
2-4 Modeling Motion with Matrices
2-5 Determinants and Multiplicative Inverses of Matrices
2-6 Solving Systems of Inequalities
Mock Test For Matrices Chapter
Solutions to Mock Test For Matrices
Chapter 3 The Nature of Graphs
3-1 Symmetry and Coordinate Graphs
3-2 Families of Graphs
3-3 Graphs of Nonlinear Inequalities
Phase Shift I (Video) Phase Shift II (Video) Phase Shift III (Video) Phase Shift IV (Video)
Changing Period on Trig Functions (Video) Rotating the Graph of a Function with Respect to a Point (Video)
3-4 Inverse Functions and Relations
3-5 Continuity and End Behavior
3-6 Critical Points and Extrema
3-7 Graphs of Rational Functions
3-8 Direct, Indirect, and Joint Variation
Understanding Equations Algebra II Review
E-1 Forms of Linear Equations
E-2 Working with Step Equations
E-3 Working with Absolute Value Equations
E-4 Working with Quadratic (Parabolas) Equations
E-5 Working with Ellipses
E-6 Working with Circles
E-7 Working with Trigonometry
E-8 Working with Rotations
Chapter 3 Content
Example 1 (Video) Example 2 (Video) Example 3a (Video) Example 3b (Video) Example 3c (Video) Example 4a (Video)
Example 5a (Video) Example 5b (Video) Example 5c (Video) Example 6a (Video) Example 6b (Video)
Example 7a (Video) Example 7b (Video) Example 8 (Video)
Solutions to Tests
Artwork Through Graphing Equations Project (Updated with rubric)
Chapter 4 Polynomial and Rational Functions
4-1 Polynomial Functions
4-2 Quadratic Equations
4-3 The Remainder and Factor Theorems
4-4 The Rational Root Theorem
4-5 Locating Zeros of a Polynomial Function
4-6 Rational Equations and Partial Fractions
4-7 Radical Equations and Inequalities
4-8 Modeling Real-World Data with Polynomial Functions
Chapter 5 The Trigonometric Functions
5-2 Trigonometric Ratios in Right Triangles
5-3 Trigonometric Functions on the Unit Circle (Homework Game click here)
5-4 Applying Trigonometric Functions
5-6 The Law of Sines
5-7 The Ambiguous Case for the Law of Sines
Chapter 6 Graphs of Trigonometric Functions
6-1 Angles and Radian Measure
6-2 Linear and Angular Velocity
6-3 Graphing Sine and Cosine Functions
6-4 Amplitude and Period of Sine and Cosine Functions
6-5 Horizontal and Vertical Shifts of Sine and Cosine Functions
6-6 Modeling Real-World Data with Sinusoidal Functions
6-7 Graphing Other Trigonometric Functions
6-8 Trigonometric Inverses and Their Graphs
Chapter 7 Trigonometric Identities and Equations
7-1 Basic Trigonometric Identities
7-2 Verifying Trigonometric Identities
7-3 Sum and Difference Identities
7-4 Double-Angle and Half-Angle Identities
7-5 Solving Trigonometric Equations
7-6 Normal Form of a Linear Equation
7-7 Distance from a Point to a Line
Chapter 8 Vectors and Parametric Equations
8-1 Geometric Vectors
8-2 Algebraic Vectors
8-3 Vectors in Three-dimensional Space
8-4 Perpendicular Vectors
8-5 Applications with Vectors
8-6 Vectors and Parametric Equations
8-7 Modeling Motion Using Parametric Equations
8-8 Transformational Matrices in Three-dimensional Space
Chapter 9 Polar Coordinates and Complex Numbers
9-1 Polar Coordinates
9-2 Graphs of Polar Equations
9-3 Polar and Rectangular Coordinates
9-4 Polar Form of a Linear Equation
9-5 Simplifying Complex Numbers
9-6 The Complex Plan and Polar Form of Complex Numbers
9-7 Products and Quotients of Complex Numbers in Polar Form
9-8 Powers and Roots of Complex Numbers
Chapter 10 Conics
10-1 Introduction to Analytic Geometry
10-2 Circles
10-3 Ellipses
10-4 Hyperbolas
10-5 Parabolas
10-6 Rectangular and Parametric Forms of Conic Sections
10-7 Transformations of Conics
10-8 Systems of Second-Degree Equations and Inequalities
Chapter 11 Exponential and Logarithmic Functions
11-1 Real Exponents
11-2 Exponential Functions
11-3 The Number e
11-4 Logarithmic Functions
11-5 Common Logarithms
11-6 Natural Logarithms
11-7 Modeling Real-World Data with Exponential and Logarithmic Functions
Chapter 12 Sequences and Series
12-1 Arithmetic Sequences and Series
12-2 Geometric Sequences and Series
12-3 Infinite Sequences and Series
12-4 Convergent and Divergent Series
12-5 Sigma Notation and the nth Term
12-6 The Binomial Theorem
12-7 Special Sequences and Series
12-8 Sequences and Iterations
12-9 Mathematical Induction
Chapter 13 Combinatorics and Probability
13-1 Permutations and Combinations
13-2 Permutations with Repetitions and Circular Permutations
13-3 Probability and Odds
13-4 Probabilities of Compound Events
13-5 Conditional Probabilities
13-6 The Binomial Theorem and Probability
Chapter 14 Statistics and Data Analysis
14-1 The Frequency Distribution
14-2 Measures of Central Tendency
14-3 Measures of Variability
14-4 The Normal Distribution
14-5 Sample Sets of Data
Chapter 15 Introduction to Calculus
15-1 Limits
15-2 Derivatives and Antiderivatives
15-3 Area Under a Curve
15-4 The Fundamental Theorem of Calculus