Course Outline
Unit 1 Pre-Algebra Review
Number Patterns
Adding and Subtracting Integers
Multiplying and Dividing Integers
Adding and Subtracting Rational Numbers
Multiplying and Dividing Rational Numbers
Unit 2 Expressions and Equations
Chapter 1 The Language of Algebra
Lesson 1 - Variables and Expressions
Lesson 2 - Order of Operations
Lesson 3 - Open Sentences
Lesson 4 - Identity and Equality Properties
Lesson 5 - The Distributive Property
Lesson 6 - Commutative and Associative Properties
Lesson 7 - Logical Reasoning
Lesson 8 - Graphs and Functions
Lesson 9 - Statistics: Analyzing Data by Using Tables and Graphs
Chapter 2 Real Numbers
Lesson 1 - Rational Numbers on the Number Line
Lesson 2 - Adding and Subtracting Rational Numbers
Lesson 3 - Multiplying Rational Numbers
Lesson 4 - Dividing Rational Numbers
Lesson 5 - Statistics: Displaying and Analyzing Data
Lesson 6 - Probability: Simple Probability and Odds
Lesson 7 - Square Roots and Real Numbers
Chapter 3 Solving Linear Equations Lesson 1 - Writing Equations Lesson 2 - Solving Equations by Using Addition and Subtraction Lesson 3 - Solving Equations by Using Multiplication and Division Lesson 4 - Solving Multi-Step Equations Lesson 5 - Solving Equations with the Variable on Each Side Lesson 6 - Translating and Solving Equations and Word Problems Chapter Notes on Solving Equations Chapter Notes on Solving Word Problems
Lesson 6 - Ratios and Proportion
Lesson 7 - Percent of Change
Lesson 8 - Solving Equations and Formulas
Lesson 9 - Weighted Averages
Unit 3 Linear Functions
Chapter 4 Graphing Relations and Functions
Lesson 1 - The Coordinate Plane
Lesson 2 - Transformations on the Coordinate Plane
Lesson 3 - Relations
Lesson 4 - Equations as Relations
Lesson 5 - Graphing Linear Equations
Lesson 6 - Functions
Lesson 7 - Arithmetic Sequences
Lesson 8 - Writing Equations from Patterns
Chapter 5 Analyzing Linear Equations
Lesson 1 - Slope
Lesson 2 - Slope and Direct Variation
Lesson 3 - Slope-Intercept Form
Lesson 4 - Writing Equations in Slope-Intercept Form
Lesson 5 - Writing Equations in Point-Slope Form
Lesson 6 - Geometry: Parallel and Perpendicular Lines
Lesson 7 - Statistics: Scatter Plots and Lines of Fit
Chapter 6 Solving Linear Inequalities
Lesson 1 - Solving Inequalities by Addition and Subtraction
Lesson 2 - Solving Inequalities by Multiplication and Division
Lesson 3 - Solving Multi-Step Inequalities
Lesson 4 - Solving Compound Inequalities
Lesson 5 - Solving Open Sentences Involving Absolute Value
Lesson 6 - Graphing Inequalities in Two Variables
Chapter 7 Solving Systems of Linear Equations and Inequalities
Lesson 1 - Graphing Systems of Equations
Lesson 2 - Substitution
Lesson 3 - Elimination Using Addition and Subtraction
Lesson 4 - Elimination Using Multiplication
Lesson 5 - Graphing Systems of Inequalities
Unit 4 Polynomials and Nonlinear Functions
Chapter 8 Polynomials
Lesson 1 - Multiplying Monomials
Lesson 2 - Dividing Monomials
Lesson 3 - Scientific Notation
Lesson 4 - Polynomials
Lesson 5 - Adding and Subtracting Polynomials
Lesson 6 - Multiplying a Polynomial by a Monomial
Lesson 7 - Multiplying Polynomials
Lesson 8 - Special Products
Chapter 9 Factoring Chapter
Lesson 1 - Factors and Greatest Common Factors
Lesson 2 - Factoring Using the Distributive Property
Lesson 3 - Factoring Trinomials: x2 + bx + c
Lesson 4 - Factoring Trinomials: ax2 + bx + c
Lesson 5 - Factoring Differences of Squares
Lesson 6 - Perfect Squares and Factoring
10 Quadratic and Exponential Functions
Lesson 1 - Graphing Quadratic Functions
Lesson 2 - Solving Quadratic Equations by Graphing
Lesson 3 - Solving Quadratic Equations by Completing the Square
Lesson 4 - Solving Quadratic Equations by Using the Quadratic
Lesson 5 - Exponential Functions
Lesson 6 - Growth and Decay
Lesson 7 - Geometric Sequences
Unit 5 Radical and Rational Functions
Chapter 11 Radical Expressions and Triangles
Lesson 1 - Simplifying Radical Expressions
Lesson 2 - Operations with Radical Expressions
Lesson 3 - Radical Equations
Lesson 4 - The Pythagorean Theorem
Lesson 5 - The Distance Formula
Lesson 6 - Similar Triangles
Lesson 7 - Trigonometric Ratios
Chapter 12 Rational Expressions and Equations
Lesson 1 - Inverse Variation
Lesson 2 - Rational Expressions
Lesson 3 - Multiplying Rational Expressions
Lesson 4 - Dividing Rational Expressions
Lesson 5 - Dividing Polynomials
Lesson 6 - Rational Expressions with Like Denominators
Lesson 7 - Rational Expressions with Unlike Denominators
Lesson 8 - Mixed Expressions and Complex Fractions
Lesson 9 - Solving Rational Equations
Unit 6 Data Analysis
Chapter 13 Statistics
Lesson 1 - Sampling and Bias
Lesson 2 - Introduction to Matrices
Lesson 3 - Histograms
Lesson 4 - Measures of Variation
Lesson 5 - Box-and-Whisker Plots
Chapter 14 Probability
Lesson 1 - Counting Outcomes
Lesson 2 - Permutations and Combinations
Lesson 3 - Probabilities of Compound Events
Lesson 4 - Probability Distributions
Lesson 5 - Probability Simulations
Current Chapter
Unit 4 Introduction to Geometry
Segments
Segment addition
Segment midpoint
Midpoints using coordinates
Angles
Supplementary (linear pair angle sum 180˚)
Complementary (angle sum of 90˚)
Angle addition
Vertical angles
Angle bisector
Triangles
Sum of interior angles is 180˚
Exterior angle theorem