Week 1

• 1.1.1 Properties, Identities, & Inverses
• 1.2.1 An Introduction to Exponents
• 1.2.2 Evaluating Exponential Expressions
• 1.3.1 Working with Fractions
• 1.4.1 Concepts of Inequality
• 1.4.2 Inequalities and Interval Notation
• 1.5.1 Properties of Absolute Value
• 1.5.2 Evaluating Absolute Value Expressions
• 1.6.1 Operations Considering Signs
• 1.6.2 Prime and Composite Numbers and Their Roots
• 1.6.3 Order of Operations
• 1.7.1 Forms of Conditional Statements
• 1.7.2 Inductive Reasoning
• Chapter 1 Test

Week 2

• 2.1.1 An Introduction to Solving Equations
• 2.1.2 Equality or Identity?
• 2.1.3 Equivalent Equations and Equations with No Solution
• 2.1.4 Solving Linear Equations
• 2.2.1 An Introduction to Solving Word Problems
• 2.2.2 Finding Perimeter
• 2.2.3 Solving a Linear Geometry Problem
• 2.2.4 Solving for Constant Velocity
• 2.3.1 Solving a Business Problem
• 2.3.2 Solving a Mixture Problem
• 2.3.3 Solving an Investment Problem
• 2.3.4 Solving for Consecutive Numbers
• 2.3.5 Finding an Average

Week 3

• 2.4.1 An Introduction to Solving Inequalities
• 2.4.2 Solving Inequalities
• 2.4.3 Solving Word Problems with Inequalities
• 2.5.1 Sets, Intersections, and Unions
• 2.5.2 Solving Compound Inequalities
• 2.5.3 More on Compound Inequalities
• 2.6.1 Matching Number Lines with Absolute Value
• 2.6.2 Solving Absolute Value Equations
• 2.6.3 Solving Equations with Two Absolute Value Expressions
• 2.7.1 Solving Absolute Value Inequalities
• 2.7.2 Solving Absolute Value Inequalities: More Examples
• Chapter 2 Test

Week 4

• 3.1.1 Using the Cartesian System
• 3.1.2 Thinking Visually
• 3.2.1 An Introduction to Slope
• 3.2.2 Finding the Slope Given Two Points
• 3.3.1 Finding the Distance and Midpoint between Two Points
• 3.4.1 The Center-Radius Equation of a Circle
• 3.4.2 Decoding the Circle Formula
• Chapter 3 Test
• 4.1.1 Using Intercepts to Graph Lines
• 4.1.2 Working with Specific Lines
• 4.1.3 Interpreting Slope from a Graph
• 4.1.4 Graphing with a Point and the Slope
• 4.2.1 Writing an Equation in Slope-Intercept Form
• 4.2.2 Writing an Equation Given Two Points
• 4.2.3 Writing an Equation in Point-Slope Form
• 4.2.4 Matching a Point-Slope Equation with its Graph
• 4.2.5 Slope for Parallel and Perpendicular Lines

Week 5

• 4.3.1 Constructing a Linear Model from a Set of Data
• 4.3.2 Scatterplots and Predictions
• 4.3.3 Interpreting Line Graphs
• 4.3.4 Linear Cost and Revenue
• Chapter 4 Test
• 5.1.1 An Introduction to Linear Systems
• 5.1.2 Solving a System by Graphing
• 5.1.3 Solving a System by Substitution
• 5.1.4 Solving a System by Elimination
• 5.2.1 An Introduction to Systems in Three Variables
• 5.2.2 Solving Systems with Three Variables
• 5.2.3 Solving Inconsistent Systems
• 5.2.4 Solving Dependent Systems
• 5.2.5 Solving Systems with Two Equations
• 5.3.1 Investments
• 5.4.1 An Introduction to Graphing Linear Inequalities
• 5.4.2 Graphing Inequalities with Two Variables
• 5.4.3 Graphing the Solution Set of a System of Inequalities

Week 6

• Chapter 5 Test
• Midterm Exam
• 6.1.1 Applying the Rules of Exponents
• 6.1.2 Evaluating Expressions with Negative Exponents
• 6.2.1 Converting between Decimal and Scientific Notation
• 6.3.1 Determining Components and Degree
• 6.3.2 Adding and Subtracting Polynomials
• 6.3.3 Multiplying Polynomials

Week 7

• 6.4.1 The FOIL Method
• 6.4.2 Multiplying Big Products
• 6.4.3 Using Special Products
• 6.5.1 Factoring Using the Greatest Common Factor
• 6.5.2 Factoring by Grouping
• 6.5.3 Factoring Trinomials
• 6.5.4 Factoring Trinomials: More Examples
• 6.6.1 Factoring Perfect Square Trinomials
• 6.6.2 Factoring the Difference of Two Squares
• 6.6.3 Factoring Sums and Differences of Cubes
• 6.6.4 Factoring by Any Method
• 6.7.1 The Zero Factor Property
• 6.8.1 Using Long Division with Polynomials
• 6.8.2 Long Division: Another Example
• Chapter 6 Test

Week 8

• 7.1.1 An Introduction to Rational Expressions
• 7.1.2 Writing Rational Expressions in Lowest Terms
• 7.2.1 Multiplying and Dividing Rational Expressions
• 7.2.2 Adding and Subtracting Rational Expressions
• 7.2.3 Rewriting Complex Fractions
• 7.3.1 Solving a Linear Equation with Rationals
• 7.3.2 Solving a Linear Equation with Restrictions
• 7.4.1 Solving Rational Inequalities
• 7.4.2 Solving Rational Inequalities: Another Example
• 7.4.3 Determining Domain

Week 9

• 7.5.1 Solving a Problem About Work
• 7.5.2 Resistors in Parallel
• 7.6.1 An Introduction to Variation
• 7.6.2 Direct Proportion
• 7.6.3 Inverse Proportion
• 7.6.4 Joint and Combined Proportion
• Chapter 7 Test
• 8.1.1 Radical Notation and Properties of Roots
• 8.1.2 Variables and Negative Values under a Radical
• 8.1.3 Converting Rational Exponents and Radicals
• 8.2.1 Simplifying Radicals
• 8.2.2 Simplifying Radical Expressions with Variables

Week 10

• 8.3.1 Adding and Subtracting Radical Expressions
• 8.3.2 Rationalizing Denominators
• 8.4.1 Solving an Equation Containing a Radical
• 8.4.2 Solving Equations with Two Radical Expressions
• 8.4.3 Extraneous Roots
• 8.4.4 Solving Equations with Rational Exponents
• 8.5.1 Introducing and Writing Complex Numbers
• 8.5.2 Rewriting Powers of i
• 8.5.3 Adding and Subtracting Complex Numbers
• 8.5.4 Multiplying Complex Numbers
• 8.5.5 Dividing Complex Numbers
• 8.6.1 Finding the Length of the Diagonal of a Cube
• 8.6.2 Applications in Meteorology
• Chapter 8 Test

Week 11

• 9.1.1 Introducing Relations and Functions
• 9.1.2 Function Notation and Values
• 9.1.3 Functions and the Vertical Line Test
• 9.2.1 Finding Domain and Range
• 9.2.2 Domain and Range: An Explicit Example
• 9.2.3 Satisfying the Domain of a Function
• 9.2.4 Graphing Important Functions
• Chapter 9 Test
• 10.1.1 An Introduction to Quadratics
• 10.1.2 Solving Quadratics by Factoring
• 10.2.1 Finding x- and y-Intercepts
• 10.2.2 Nice-Looking Parabolas
• 10.2.3 Graphing Parabolas
• 10.3.1 Solving by Completing the Square
• 10.3.2 Completing the Square: Another Example
• 10.3.3 Finding the Vertex by Completing the Square
• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions  

Week 12

• 10.4.1 Using the Vertex to Write the Equation
• 10.4.2 Building a Polynomial Equation from Its Solutions
• 10.5.1 Proving the Quadratic Formula
• 10.5.2 Using the Quadratic Formula
• 10.5.3 Predicting Types of Solution from the Discriminant
• 10.5.4 Using the Discriminant to Graph Parabolas
• 10.6.1 Solving for a Squared Variable
• 10.6.2 Finding Real Number Restrictions
• 10.7.1 Solving a Quadratic Geometry Problem
• 10.7.2 Solving with the Pythagorean Theorem
• 10.7.3 Solving a Motion Problem
• 10.7.4 Solving a Projectile Problem
• 10.7.5 Solving Other Problems

Week 13

• Chapter 10 Test
• Practice Exam
• Final Exam