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 Algebra Expressions and Equations
Part I: 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
Part II: 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
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)
Unit 3 Algebra Word Problems (Using One Variable)
Previous Chapter Notes on Solving Word Problems (PDF)
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)
6. 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
Notes for segments, angles, & triangles
7. Coin & Stamp Problems
8. Simple Interest Problems
9. Distance Rate Time Problems
Unit 4 Algebra 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
Unit 5 Algebra 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 "OR" Inequalities
Example 1 (Video) Example 2 (Video) Example 3 (Video)
Lesson 4.1 - Solving Compound "AND" Inequalities
Example 1 (Video) Example 2 (Video) Example 3 (Video) Example 4 (Video) Example 5 (Video)
Lesson 5 - Solving Open Sentences Involving Absolute Value
Practice with Absolute Value Inequalities
Lesson 6 - Graphing Linear Inequalities
Introduction to Graphing Linear Inequalities
Example 1 (Video) Example 2 (Video)
Unit 6 Algebra 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 has neg answers!!!)
Example 1.1 (Video) Example 1.2 (Video)Lesson 7 - Trigonometric Ratios
Solving Right Triangles Introduction (Video)
Application of Trig Example 3: (Video)
Unit 7 Algebra Solving Systems of Linear Equations and Inequalities
Lesson 3 - Elimination Using Linear Combination
Example 1 (Video) Example 2 (Video) Example 3 (Video)Lesson 6 - Using the Graphing Calculator to Find Solutions to Systems of "All Types" of Equations
Video coming soon
Practice / Mock Test Solutions
Unit 8 Algebra Polynomials and Nonlinear Functions
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)
Blending the Rules Example 1 (Video)
Blending the Rules Example 2 (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)
Lesson 7 - Multiplying Polynomials (Self Check Quiz)
Unit 9 Algebra Factoring
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
Practice Test (Actual test will be abbreviated)
Chapter on Parabolas and Lines
Unit 10 Algebra Radicals and Related Concepts
Simplifying Radicals Intro & Examples (1–3) (Videos)
Simplifying Radicals Examples (4–6) (Videos)
Simplifying Radicals Examples (7–9) (Videos)
Simplifying Radicals Examples (10–11) (Videos)
Lesson: Combining Radicals (Part B)
Introduction to Adding and Subtracting Radicals (Videos)
Adding and Subtracting Radicals Examples 1–3 (Videos)
Adding and Subtracting Radicals Examples 4–6 (Videos)
Lesson: Multiplying Radicals (Part C)
Multiplying Radicals Examples 1–6 (Videos)
Distributing and F.O.I.L. with Radicals Examples (7-13) (Videos)
Rationalizing Denominators (Examples 11–15) (Videos)
Lesson: Using Conjugates (Part E)
Introduction and Example of Conjugates (Video)
Using Conjugates to Rationalize Denominators Examples (2-4) (Videos)
Using Conjugates to Rationalize Denominators Examples (5-7) (Videos)
Lesson: Pythagorean Theorem (Part F)
Pythagorean Theorem Example 1 (Video)
Pythagorean Theorem Example 2 (Video)
Pythagorean Theorem Example 3 (Video)
Lesson: Classifying Triangles (Part G)
Classifying Triangles with the Pythagorean Theorem Example 1 (Video)
Classifying Triangles with the Pythagorean Theorem Example 2 (Video)
Classifying Triangles with the Pythagorean Theorem Example 3-6 (Videos)
Lesson: Right Triangle Trigonometry (Part H)
Solving Right Triangles Introduction (Video)
Application of Trig Example 3: (Video)
Lesson: Distance Formula (Part I)
Distance Formula: Example 1 (Video)
Distance Formula: Example 2 (Video)
Distance Formula: Example 3 (Video)
Distance Formula: Example 4 (Video)
Lesson: Graphing Radical Equations (Part J)
Graphing radical equations Examples (2–3). (Video)
Unit 11 Algebra Quadratic and Exponential Functions
Lesson 1 - Graphing Quadratic Functions
Introduction to (h, k) form for parabolas. (Video)
Converting to (h, k) form for parabolas examples 1–2. (Video)
Converting to (h, k) form for parabolas examples 3–4. (Video)
Converting to (h, k) form for parabolas examples 5–6. (Video)
Lesson: Simplifying Radicals (Part B)
Graphing (h, k) form for parabolas examples 1–4. (Video)
Graphing (h, k) form for parabolas examples 5–8. (Video)
Lesson: Simplifying Radicals (Part C)
Graphing obtuse parabolas example 1. (Video)
Graphing obtuse parabolas example 2-3. (Video)
Lesson: Simplifying Radicals (Part D)
Graphing "sideways" parabolas. (Video)
Lesson 3 - Solving Quadratic Equations by Completing the Square
Completing the Square (Intro) (Video)
Lesson 4 - Solving Quadratic Equations by Using the Quadratic Formula
Understanding discriminants. (Video)
Understanding Quadratic Formula. (Video)
Lesson 5 - Exponential Functions
Lesson 6 - Growth and Decay
Lesson 7 - Geometric Sequences
Unit 5 Radical and Rational Functions
Unit 1 Geometry
Lesson: Segments, angles, and triangles
Area of Triangle Using Determinants I (Video)
Area of Triangle Using Determinants II (Video)
Lesson: Area of Triangles (Part B)
Area of Triangle with Heron's Formula I (Video)
Area of Triangle with Heron's Formula II (Video)
Lesson: Area of Triangles (Part C)
Finding Area Using Sine (Video)
Lesson: Law of Cosines
Law Cosines: Introduction and Example 1 (Video)
Law of Cosines: Understanding the Structure of the Formula (Video)
Law of Cosines: Introduction and Example 2 (Video)
Law of Cosines: Introduction and Example 3 (Video)
Law of Cosines: Introduction and Example 4 (Video)
Law of Cosines: Introduction and Example 5 (Video)
Lesson: Concept of Logarithms
Concept of Logarithms Ex (1–6) (Video) Please watch entire video, mistake on ex 4 corrected at end of video!
Concept of Logarithms Ex (7–12) (Video)
Concept of Logarithms Ex (13–15) (Video)
Lesson: Review Logarithms
Properties of Logarithms (Video)
Extra Notes and Practice problems (1–8)
Lesson: Solving Exponential Equations
Solving Equations Using Properties of Exponents Examples (1–2) (Video)
Solving Equations Using Properties of Exponents Examples (3–4) (Video)
Solving Equations Using Concept of Logarithms (5–6) (Video)
Solving Equations Using Logarithms (7–8) (Video)
Solving Equations Using Logarithms (9–13) (Video)
Solving Equations Using Properties of Logarithms (14–16) (Video)