Section 1.1
1.1.1 Interpreting Graphs
1.1.2 The Spring Problem
1.1.3 Modeling with Functions
1.1.4 Rates of Change
1.1.5 Setting Up Word Problems
1.1.6 Equivalent Expressions
Section 1.2
1.2.1 Composition of Functions
1.2.2 Inverse Functions
1.2.3 Piecewise-Defined Functions and Continuity
Section 1.3
1.3.1 Radians as a Unit of Measure
1.3.2 Radian Measure in the Unit Circle
1.3.3 Applications of Radian Measure
Closure
Section 2.1
2.1.1 Characteristics of Functions
2.1.2 Even and Odd Functions
2.1.3 Transformations of Functions
Section 2.2
2.2.1 Special Angles in the Unit Circle
2.2.2 Trigonometric Ratios in the Unit Circle
2.2.3 Graphs of Sine and Cosine
2.2.4 Transformations of Sine and Cosine
2.2.5 Horizontal Stretches of Sine and Cosine Graphs
Section 2.3
2.3.1 Solving Trigonometric Equations
2.3.2 Inverse Sine and Cosine
2.3.3 Graphs of Tangent and Inverse Tangent
Closure
Section 3.1
3.1.1 Operations with Rational Expressions
3.1.2 Rewriting Expressions and Equations
3.1.3 Solving Nonlinear Systems of Equations
3.1.4 Polynomial Division
3.1.5 Solving Classic Word Problems
Section 3.2
3.2.1 Using Sigma Notation
3.2.2 Area Under a Curve: Part One
3.2.3 Area Under a Curve: Part Two
3.2.4 Area Under a Curve: Part Three
Closure
Section 4.1
4.1.1 Graphs of Polynomial Functions in Factored Form
4.1.2 Writing Equations of Polynomial Functions
4.1.3 Identifying and Using Roots of Polynomials
Section 4.2
4.2.1 Graphing Transformations of y = 1x
4.2.2 Graphing Rational Functions
4.2.3 Graphing Reciprocal Functions
Section 4.3
4.3.1 Polynomial and Rational Inequalities
4.3.2 Applications of Polynomial and Rational Functions
Closure
Section 5.1
5.1.1 Applications of Exponential Functions
5.1.2 Stretching Exponential Functions
5.1.3 The Number e
Section 5.2
5.2.1 Logarithms
5.2.2 Properties of Logarithms
5.2.3 Solving Exponential and Logarithmic Equations
5.2.4 Graphing Logarithmic Functions
5.2.5 Applications of Exponentials and Logarithms
Closure
Section 6.1
6.1.1 The Law of Sines and Area
6.1.2 The Law of Cosines
6.1.3 The Ambiguous Case of the Law of Sines
Section 6.2
6.2.1 An Introduction to Vectors
6.2.2 Operations with Vectors
6.2.3 Applications of Vectors
6.2.4 The Dot Product
Closure
Section 7.1
7.1.1 An Introduction to Limits
7.1.2 Working With One-Sided Limits
7.1.3 The Definition of a Limit
7.1.4 Limits and Continuity
7.1.5 Special Limits
Section 7.2
7.2.1 Rates of Change from Data
7.2.2 Slope and Rates of Change
7.2.3 Average Velocity and Rates of Change
7.2.4 Moving from AROC to IROC
7.2.5 Rate of Change Applications
Closure
Section 8.1
8.1.1 Graphing y = asin(b(x – h)) + k
8.1.2 Modeling With Periodic Functions
8.1.3 Improving the Spring Problem
Section 8.2
8.2.1 Graphing Reciprocal Trigonometric Functions
8.2.2 Trigonometric Functions, Geometrically
Section 8.3
8.3.1 Simplifying Trigonometric Expressions
8.3.2 Proving Trigonometric Identities
8.3.3 Angle Sum and Difference Identities
8.3.4 Double-Angle and Half-Angle Identities
8.3.5 Solving Complex Trigonometric Equations
Closure
Section 9.1
9.1.1 Introduction to Matrices
9.1.2 Matrix Multiplication
9.1.3 Determinants and Inverse Matrices
9.1.4 Solving Systems Using Matrix Equations
Section 9.2
9.2.1 Linear Transformations
9.2.2 Compositions of Transformations
9.2.3 Properties of Linear Transformations Closure
Section 10.1
10.1.1 Circles and Completing the Square
10.1.2 Ellipses
10.1.3 Hyperbolas
10.1.4 Parabolas
10.1.5 Identifying and Graphing Conic Sections
Section 10.2
10.2.1 Parametrically-Defined Functions
10.2.2 Applications of Parametrically-Defined Functions
10.2.3 Conic Sections in Parametric Form
Closure
Section 11.1
11.1.1 Plotting Polar Coordinates
11.1.2 Graphs of Polar Functions
11.1.3 Families of Polar Functions
11.1.4 Converting Between Polar and Rectangular Forms
Section 11.2
11.2.1 Using the Complex Plane
11.2.2 Operations with Complex Numbers Geometrically
11.2.3 Polar Form of Complex Numbers
11.2.4 Operations with Complex Numbers in Polar Form
11.2.5 Powers and Roots of Complex Numbers
Closure
Section 12.1
12.1.1 Arithmetic Series
12.1.2 Geometric Series
12.1.3 Infinite Geometric Series 12.1.4 Applications of Geometric Series
12.1.5 The Sum of the Harmonic Series
Section 12.2
12.2.1 The Binomial Theorem
12.2.2 Binomial Probabilities
Section 12.3
12.3.1 Expected Value of a Discrete Random Variable
12.3.2 Expected Value and Decision Making
Closure
Section 13.1
13.1.1 A Race to Infinity
13.1.2 Limits to Infinity
13.1.3 Evaluating Limits at a Point Algebraically
13.1.4 Another Look at e
Section 13.2
13.2.1 Trapping Area With Trapezoids
13.2.2 Area as a Function
13.2.2A Going all to Pieces: Writing an Area Program
13.2.3 Rocket Launch
Section 13.3
13.3.1 Velocity and Position Graphs
13.3.2 Instantaneous Velocity
13.3.3 Slope Functions
13.3.4 The Definition of Derivative
13.3.5 Slope and Area Under a Curve
Closure
2.3.4
Defining Concavity
4.4.1
Characteristics of Polynomial Functions
5.2.6
Semi-Log Plots
5 Closure
Closure How Can I Apply It? Activity 3
9.3.1
Transition States
9.3.2
Future and Past States
10.3.1
The Parametrization of Functions, Conics, and Their Inverses
10.3.2
Vector-Valued Functions
11.1.5
Rate of Change of Polar Functions
© 1989-2025 CPM EDUCATIONAL PROGRAM All rights reserved. CPM Educational Program is a 501(c)(3) educational nonprofit corporation.
