p: Prerequisites: Fundamental Concepts of Algebra
p.1: Algebraic Expressions, Mathematical Models, and Real Numbers
Using Algebraic Expressions
p.2: Exponents and Scientific Notation
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Unit Conversions 2 - Scientific Notation and Significant Digits
p.4: Polynomials
Addition and Subtraction of Polynomials
Addition of Polynomials - Activity A
p.5: Factoring Polynomials
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
p.7: Equations
Using Algebraic Equations
p.9: Linear Inequalities and Absolute Value Inequalities
Compound Inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
1: Functions and Graphs
Points, Lines, and Equations
1.2: Basics of Functions and Their Graphs
Cubic Function Activity
1.4: Linear Functions and Slope
Linear Functions
Slope - Activity A
Slope-Intercept Form of a Line - Activity A
1.6: Transformations of Functions
Translating and Scaling Functions
1.8: Inverse Functions
Function Machines 3 (Functions and Problem Solving)
1.9: Distance and Midpoint Formulas; Circles
Distance Formula - Activity A
1.10: Modeling with Functions
Zap It! Game
2: Polynomials and Rational Functions
Cubic Function Activity
General Form of a Rational Function
Rational Functions
2.2: Quadratic Functions
Quadratic Functions
2.3: Polynomial Functions and Their Graphs
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
2.4: Dividing Polynomials; Remainder and Factor Theorems
Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors
2.5: Zeros of Polynomial Functions
Points, Lines, and Equations
2.6: Rational Functions and Their Graphs
General Form of a Rational Function
Rational Functions
3: Exponential and Logarithmic Functions
3.1: Exponential Functions
Exponential Functions - Activity A
3.2: Logarithmic Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
3.5: Exponential Growth and Decay; Modeling Data
Exponential Growth and Decay - Activity A
4: Trigonometric Functions
4.2: Trigonometric Functions: The Unit Circle
Unit Circle
4.5: Graphs of Sine and Cosine Functions
Cosine Function
Sine Function
5: Analytic Trigonometry
5.1: Verifying Trigonometric Identities
Simplifying Trigonometric Expressions
5.2: Sum and Difference Formulas
Sum and Difference Identities for Sine and Cosine
6: Additional Topics in Trigonometry
6.5: Complex Numbers in Polar Form; DeMoivre's Theorem
Complex Numbers in Polar Form
6.6: Vectors
Vectors
7: Systems of Equations and Inequalities
7.1: Systems of Linear Equations in Two Variables
Systems of Linear Equations - Activity A
7.5: Systems of Inequalities
System of Two Quadratic Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
7.6: Linear Programming
Linear Programming - Activity A
8: Matrices and Determinants
8.2: Inconsistent and Dependent Systems and Their Applications
Special Types of Solutions to Linear Systems
9: Conic Sections and Analytic Geometry
9.1: The Ellipse
Ellipse - Activity A
9.2: The Hyberola
Hyperbola - Activity A
9.3: The Parabola
Parabolas - Activity A
10: Sequences, Induction, and Probability
10.2: Arithmetic Sequences
Arithmetic Sequences
10.3: Geometric Sequences
Geometric Sequences
10.6: Counting Principles, Permutations, and Combinations
Permutations
Permutations and Combinations
10.7: Probability
Compound Independent Events
Compound Independent and Dependent Events
Probability Simulations