
Unit 1 Pre-Algebra Review
Day 1: Students should work on memorizing the first 25 squares.
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)
Lesson - Closure Property for sets of numbers
Essential Elements:
Unit 2 Expressions and Equations
Part I: The Language of Algebra
Lesson 1 - Variables and Expressions
Lesson 2 - Order of Operations
Lesson 3 - Open Sentences and Introduction to Distributing
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
Lesson 6 - Commutative and Associative Properties (PDF)
Lesson 7 - Translations
Lesson 8 - Converting Units
Lesson 9- Understanding Expressions (Absolute Value, Roots, Exponents)
Introduction to Other Operations WS
Chapter Vocabulary
Part II: Solving Linear Equations
Lesson 1 - Writing Equations
Solving Equations Packet ( Lessons 1–5 )
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)
a. Introduction to Word Problems
Solutions to Introductory Worksheet
b. Integer Problems
Introduction (Video)
Example 1 (Video)
Example 2 (Video)
c. 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 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. Simple Interest Problems
Simple Interest Word Problems WS
8. Distance Rate Time Problems
Distance Rate Time Word Problems WS
Unit 4 Analyzing Linear Equations
Lesson 1 - Slope
Lesson 2 - Slope and Direct Variation
Slope & Slope Intercept Form WS
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 3.5 Graphing Lines in Slope-Intercept Form WS
Graphing Lines in Slope-Intercept Form WS
Lesson 4 - Writing Equations in Standard Form
Lesson 5 - Writing Equations in Point-Slope Form
Lesson 5.5 - Slopes of Parallel and Perpendicular lines
Writing Equations WS All Forms
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 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
Solving Inequality Multi-Step WS
Introduction to Inequalities (Video)
Example 1 (Video)
Example 2 (Video)
Example 3 (Video)
Example 4 (Video)
Example 5 (Video)
Example 6 (Video)
Solving Compound "or" Statements WS
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
Solving Absolute Value Inequalities WS
Lesson 6 - Graphing Linear Inequalities
Graphing Systems of Linear Inequalities WS
Introduction to Graphing Linear Inequalities (Video)
Example 1 (Video)
Example 2 (Video)
Unit 6 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!!!)
Structured Notes Similar Triangles (PDF)
Lesson 7 - Trigonometric Ratios
Solving Right Triangles Introduction (Video)
Application of Trig Example 3: (Video)
Unit 7 Solving Systems of Linear Equations and Inequalities
Lesson 6 - Find Solutions to Systems of "All Types" of Equations (Calculator)
Video coming soon
Lesson 7 - Find Solutions to Systems Matrix Editor (Calculator)
Using Matrices to Solve Systems WS
Using Matrices to Solve Word Problems WS
More Matrices and Word Problem WS
Practice / Mock Test Solutions
Unit 8 Polynomials and Nonlinear Functions
Introduction (Video)
Lesson 1 - Multiplying Monomials
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
Lesson 4 - Polynomials
Lesson 5 - Adding and Subtracting Polynomials
Examples 1 & 2 (Video)Examples 3 & 4 (Video)
Lesson 6 - Multiplying a Polynomial by a Monomial
Lesson 7 - Multiplying Polynomials (Including F.O.I.L.)
Unit 9 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: x^2 + bx + c
Math exercise to prepare for "AC" Factoring Method
Lesson 4 - Factoring Trinomials: ax^2 + bx + c
Lesson 5 - Factoring Differences of Squares
Lesson 6 - Perfect Squares and Factoring
Lesson 7 - Combination Factoring (Apply Multiple Methods)
Factoring Conceptual Approach WS
Lesson 6 - Solve Quadratic Equations Using Factoring
Solving Equations with Factoring WS 1
Solving Equations with Factoring WS 2
Solving Equations with Factoring WS 3
Practice Test (Actual test will be abbreviated)
Review Chapter on Parabolas, Lines, and Radicals
Unit 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
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 11 Radical Expressions and Triangles
Worksheets on Radical Operations
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 Example 1 (Video)
Classifying Triangles Example 2 (Video)
Classifying Triangles 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)