Course Materials
Unit 1 Pre-Algebra Review
Number Patterns (Pre Structure / Rule)
Number Patterns WS (PDF)
Adding and Subtracting Integers
Multiplying and Dividing Integers
Basic Skills WS One (PDF)
Adding and Subtracting Rational Numbers
Adding and Subtracting Rational Numbers (PDF)
WS for guided notes - use examples below to fill out WS
Example 1 (video) Example 2 (video) Example 3 (video) Example 4 (video) Example 5 (video) Example 6 (video)
#3 From HW WS (video) #4 From HW WS (video) #7 From HW WS (video) #10 From HW WS (video)
Multiplying And Dividing Rational Numbers
Multiplying and Dividing Rational Numbers (PDF)
WS for guided notes - use examples below to fill out WS
Example 1 (video) Example 2 (video) Example 3 (video) Example 4 (video) Example 5 (video) Example 6 (video)
#3 From HW WS (video) #4 From HW WS (video) #6 From HW WS (video) #9 From HW WS (video)
Basic Skills WS Two (PDF)
The Number Systems ( Counting / Natural, Whole, Integers, Rational, Irrational, Real )
Order of Operations
Order of Operations (PDF)
Order of Operations WS One (PDF)
Order of Operations WS Two (PDF)
#6 From WS (video) #7 From WS (video) #10 From WS (video) #13 From WS (video)
Order of Operations WS Three (PDF)
#3 From WS (video) #8 From WS (video) #12 From WS (video) #13 From WS (video) #14 From WS (video)
Essential Elements:
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
Identity and Equality Properties (PDF)
Lesson 5 - Distributive Property
The Distributive Property (PDF)
Example 1 (video) Example 2 (video) Example 3 (video) Example 4 (video) Example 5 (video)
Lesson 6 - Commutative and Associative Properties (PDF)
Lesson 7 - Translations
Example 1 (video) Example 2 (video) Example 3 (video)
Lesson 8 - Converting Units
Example 1 (video) Example 2 (video)
Lesson 9- Understanding Expressions (Absolute Value, Roots, Exponents)
Chapter Vocabulary
Take Home Portion to Actual Test
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
Properties and Identities Test Solutions
Properties and Identities Test Solutions
Previous Chapter's Key Concepts
Concept 1: Distributive Property
The Distributive Property (PDF)
Example 1 (video) Example 2 (video) Example 3 (video) Example 4 (video) Example 5 (video)
Concept 2: Translations
Example 1 (video) Example 2 (video) Example 3 (video)
Chapter 3 Solving Linear EquationsLesson 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
Solving Equations with One Step (Video)
Solving Equations with Two Steps (Video)
Solving more Two Step Equations (Video)
Solving Equations with Multiple Steps (Video)
Solving Equations "All Reals" Solution (Video)
Solving Equations "Empty Set" Solution (Video)
Solving Equations with Solution Equal to Zero (Video)
Lesson 5 - Solving Equations with the Variable on Each Side
Solving Equations Removing Decimals (Video)
Solving Equations When to Distribute Fractions (Video)
Solving Equations with Single Term Fractions 1 (Video)
Solving Equations with Single Term Fractions 2 (Video)Solving Equations By Removing Fractions Before Distributing (Video)
Solving Equations with Compound Term Fractions (Video)
Lesson 6 - Translating and Solving Equations and Word Problems (Word Problem Videos)
2. Integer Problems
Introduction (Video) Example 1 (Video) Example 2 (Video)
3. Number Problems
Introduction (Video) Example 3 (Video) Example 4 (Video) Example 5 (Video)
Resource Packet (PDF)
Chapter Notes on Solving Equations (PDF)
Chapter Notes on Solving Word Problems (PDF)
Practice Test (PDF)
Practice Test Solutions (PDF)
BE SURE TO LOOK AT ALL THE PROBLEMS
Unit 3 Word Problems (Using One Variable)
Previous Chapter Notes on Solving Word Problems (PDF)
Unit 3 Word Problems (Using One Variable)
1. Age Word Problems
Introduction & Example 1 (Video) Example 2 (Video)
2. Integer Problems
Introduction (Video) Example 3 (Video) Example 4 (Video)
3. Number Problems
Introduction (Video) Example 5 (Video) Example 6 (Video) Example 7 (Video)
4. Mixture Problems
Introduction & Example 8 (Video) Example 9 (Video) Example 10 (Video)
5. Coin & Stamp Problems
Example 12 (Video) Example 13 (Video)
Unit 3 Word Problems (Using One Variable)
6. Geometry
Segments
Segment addition
Segment midpoint
Midpoints using coordinates
Angles
Supplementary (linear pair angle sum 180Ëš)
Complementary (angle sum of 90Ëš)
Angle addition
Vertical angles
Angle bisector
Triangles
Sum of interior angles is 180Ëš
Exterior angle theorem
Notes for segments, angles, & triangles
7. Coin & Stamp Problems
8. Simple Interest Problems
9. Distance Rate Time Problems
Chapter 5 Analyzing Linear Equations
Lesson 1 - Slope
Lesson 2 - Slope and Direct Variation
Lesson 3 - Slope-Intercept Form (graphing form)
Introduction (Video) Example 1 (Video) Example 2 (Video)
Example 3 (Video) Example 4 (Video) Example 5 (Video)
Lesson 4 - Writing Equations in Standard Form
Lesson 5 - Writing Equations in Point-Slope Form
Lesson 6 - Transformations on the Coordinate Plane (characteristics of lines / speed graphing)
Lesson 7 - Relations
Lesson 8 - Equations as Relations
Lesson 9 - Graphing Linear Equations
Lesson 10 - Functions and function Notation
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
Introduction to Inequalities (Video)
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video) Example 5 (Video) Example 6 (Video)
Lesson 4 - Solving Compound Inequalities
Lesson 5 - Solving Open Sentences Involving Absolute Value
Lesson 6 - Graphing Linear Inequalities
Introduction to Graphing Linear Inequalities
Example 1 (Video) Example 2 (Video)
Chapter on Proportions / Ratios / Right Triangle Trigonometry
Lesson 1 - Ratios and Proportion Including direct and indirect variation
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Example 5 (Video) Example 6 (Video) Example 7 (Video)
Lesson 2 - Proportions as Word Problems
Example 1 (Video) Example 2 (Video) Example 3 (Video)
Example 4 (Video) Example 5 (Video) Example 6 (Video)
Lesson 3 - Working with Percents
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Lesson 4 - Percent of Change & Purchase Prices
Structured Notes for Video (PDF)
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Example 5 (Video) Example 6 (Video) Example 7 (Video)
Lesson 5 - Solving Equations and Formulas
Lesson 6 - Similar Triangles (fix some video neg answers)
Example 1.1 (Video) Example 1.2 (Video)Lesson 7 - Trigonometric Ratios
Chapter 7 Solving Systems of Linear Equations and Inequalities
Unit 4 Polynomials and Nonlinear Functions
Chapter 8 Polynomials
Introduction (Video)
Lesson 1 - Multiplying Monomials (Self Check Quiz)
Rule # 1 Multiplying Like Bases Example 1 (Video)
Multiplying Like Bases Example 2 (Video)
Multiplying Like Bases Example 3 (Video)Power to a Power Examples 3 & 4 (Video)
Lesson 3 - Scientific Notation (Self Check Quiz)
Lesson 4 - Polynomials (Self Check Quiz)
Lesson 5 - Adding and Subtracting Polynomials (Self Check Quiz)
Examples 1 & 2 (Video)Examples 3 & 4 (Video)
Lesson 6 - Multiplying a Polynomial by a Monomial (Self Check Quiz)
Chapter 9 Factoring Chapter
Lesson 1 - Factors and Greatest Common Factors
Introduction to Prime Factorization (Video)
Examples of Prime Factorization (Video)
Finding GCF Examples (1 – 3) (Video)
Finding GCF Examples (4 – 6) (Video)
Lesson 2 - Factoring Using the Distributive Property
Factoring Using the Distributive Property (1–3) (Video)
Factoring Using the Distributive Property (4–6) (Video)
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
Lesson 7- Combination Factoring (multiple methods)
Lesson 8 - Solving Quadratic equations using Factoring
Unit 5 Radical and Rational Functions
Chapter 11 Radical Expressions and Triangles
Lesson 1 - Simplifying Radical Expressions
Lesson 2 - Operations with Radical Expressions
Lesson 4 - The Pythagorean Theorem
Lesson 5 - The Distance Formula
Lesson 7 - Trigonometric Ratios
Chapter on Parabolas and Lines
Exam Review
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
Solutions to System of Equations Test
Unit 4 Polynomials and Nonlinear Functions
Chapter 8 Polynomials
Introduction (Video)
Lesson 1 - Multiplying Monomials (Self Check Quiz)
Rule # 1 Multiplying Like Bases Example 1 (Video)
Multiplying Like Bases Example 2 (Video)
Multiplying Like Bases Example 3 (Video)Power to a Power Examples 3 & 4 (Video)
Lesson 3 - Scientific Notation (Self Check Quiz)
Lesson 4 - Polynomials (Self Check Quiz)
Lesson 5 - Adding and Subtracting Polynomials (Self Check Quiz)
Examples 1 & 2 (Video)Examples 3 & 4 (Video)
Lesson 6 - Multiplying a Polynomial by a Monomial (Self Check Quiz)
Example 1 (Video)Chapter on Proportions / Ratios / Right Triangle Trigonometry
Lesson 1 - Ratios and Proportion Including direct and indirect variation
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Example 5 (Video) Example 6 (Video) Example 7 (Video)
Lesson 2 - Proportions as Word Problems
Example 1 (Video) Example 2 (Video) Example 3 (Video)
Example 4 (Video) Example 5 (Video) Example 6 (Video)
Lesson 3 - Working with Percents
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Lesson 4 - Percent of Change & Purchase Prices
Structured Notes for Video (PDF)
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video)
Example 5 (Video) Example 6 (Video) Example 7 (Video)
Lesson 5 - Solving Equations and Formulas
Lesson 6 - Similar Triangles (fix some video neg answers)
Example 1.1 (Video) Example 1.2 (Video)Lesson 7 - Trigonometric Ratios
Chapter 7 Solving Systems of Linear Equations and Inequalities
Lesson 3 - Elimination Using Linear Combination
Example 1 (Video) Example 2 (Video) Example 3 (Video)