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:  

Practice Test Solutions  


Unit 2 Expressions and Equations

Part I: The Language of Algebra

Lesson 1 - Variables and Expressions

Translations WS

More Translations WS

Lesson 2 - Order of Operations

Lesson 3 - Open Sentences and Introduction to Distributing

Open Sentences WS

Lesson 4 - Identity and Equality Properties

Identity and Equality Properties (PDF)

Lesson 5 - Distributive Property

The Distributive Property (PDF)

Distributive Property WS

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

Example 1 (video)     

Example 2 (video)     

Example 3 (video)      

Review Worksheet  

Review Worksheet Solutions

Solutions with last page

Lesson 8 - Converting Units

Unit Conversion WS

Example 1 (video)     

Example 2 (video)

Lesson 9- Understanding Expressions (Absolute Value, Roots, Exponents)

Introduction to Other Operations WS 

Chapter Vocabulary

Another Review Worksheet

Practice Test

Practice Test Solutions 


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

Introductory Worksheet

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

Age Word Problem WS

Introduction & Example 1 (Video)    

Example 2 (Video)

2.  Integer Problems

Integer Word Problem WS

Introduction (Video)   

Example 3 (Video)   

Example 4 (Video)

3.  Number Problems

Number Word Problem WS

Introduction (Video)   

Example 5 (Video)   

Example 6 (Video)   

Example 7 (Video)

4.  Mixture Problems

Mixture Word Problem WS

Template For Homework

Introduction & Example 8 (Video)   

Example 9 (Video)   

Example 10 (Video)

5.  Coin & Stamp Problems

Coin & Stamp Word Problem WS

Template for Homework

Example 12 (Video)   

Example 13 (Video)

Additional Word Problem Notes

6.  Geometry 

Generic Geometry Problems WS

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

Notes as a Web Page

Word Problem Review

Solutions to the Review


Unit 4 Analyzing Linear Equations

Chapter Notes

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)

Linear Forms WS

Another Review WS

Lesson 7 - Relations

Lesson 8 - Equations as Relations

Lesson 9 - Graphing Linear Equations

Lesson 10 - Functions and Function Notation

Function Notation I

Function Notation II

Review of Lessons 1–10

Lesson 11 - Solving Linear Equations with Technology








Mock Test 

Mock Test Solutions 


Unit 5 Solving Linear Inequalities

Introductory Notes

Lesson 1 - Solving Inequalities by Addition and Subtraction

Lesson 2 - Solving Inequalities by Multiplication and Division

Solving Inequalities WS

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)


Notes For Compound Statements

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)


Review

Another Review

Practice Test

Practice Test Solutions

 

Unit 6 Proportions / Ratios / Right Triangle Trigonometry

Lesson 1 - Ratios and Proportion Including direct and indirect variation

More Proportions Notes or HW

Proportions HW

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

Proportions WP Notes

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)

Percent of Change WS

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

Mid Chapter Review WS

Lesson 6 - Similar Triangles (fix some video has neg answers!!!)

Structured Notes Similar Triangles (PDF)

Similar Triangles WS

Example 1.1 (Video)   

Example 1.2 (Video)

Example 2.1  (Video)

Example 2.2 (Video)

Example 3.1 (Video)

Example 3.2 (Video)

Example 4.1 (Video) 

Example 4.2 (Video)

Mock Proportions Test 


Unit 7 Solving Systems of Linear Equations and Inequalities

Lesson 1 - Graphing Systems of Equations



Introduction (Video)     

Example 1 (Video)   

Example 2 (Video)

Example 3 (Video)   

Example 4 (Video)   

Example 5 (Video)   

Example 6 (Video)

Lesson 2 - Substitution

Example 1 (Video)  

Example 2 (Video)  

Example 3 (Video)

Example 4 (Video)  

Example 5 (Video)  

Example 6 (Video)

Lesson 3 - Elimination Using Linear Combination

Example 1 
(Video)  

Example 2 (Video)  

Example 3 (Video)

Example 4 (Video)  

Example 5 (Video)

Lesson 4 - Cramer's Rule (Optional)

Introduction Determinants (Video) 

Example 1 (Video) 

Example 2 (Video)  

Example 3 (Video)  

Example 4 (Video)

Lesson 5 - Graphing Systems of Inequalities

Review from Unit 5 with new worksheets




Introduction to Graphing Linear Inequalities (Video)

Example 1  (Video)  

Example 2  (Video)

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



Review WS 1

Review WS 2

Review WS 3 

Practice / Mock Test

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)


Rule # 2 Power to a Power  Examples 1 & 2 
(Video)

Power to a Power  Examples 3 & 4 (Video)


Blending the Rules Example 1 (Video)

Blending the Rules Example 2 (Video)


Lesson 2 - Dividing Monomials  







Lesson 3 - Scientific Notation 

Scientific Notation WS

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 

Combining Like Terms WS

Lesson 7 - Multiplying Polynomials (Including F.O.I.L.) 

Lesson 8 - Special Products 

Lesson 9 - Algebra on Geometric Figures (Enrichment)





Unit 9 Factoring  

Notes on 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 2.1 – Factoring By Grouping




Lesson 2.2 – Solving Equations by Factoring 




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

Factoring Methods Review WS 1

Factoring Methods Review WS 2

Factoring Methods Review WS 3

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



Mixed Chapters Review

Practice Test  (Actual test will be abbreviated)



Review Chapter on Parabolas, Lines, and Radicals

Notes on Parabolas



Unit 10 Quadratic and Exponential Functions

Lesson 1 - Graphing Quadratic Functions

Graphing Parabolas WS 1

Graphing Parabolas WS 2

Graphing Parabolas WS 3

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

Lesson: Simplifying Radicals (Part A)

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)

Lesson: Rationalizing Denominators (Part D)

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)

Simplifying Radical WS

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) 

Graphing radical equations Examples (4–5). (Video) 

Graphing radical equations Examples (6–7). (Video) 


Practice Test

Radicals

Radical Solutions












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