TABLE OF CONTENTS

SECTION 1 QUICK REVIEW: STUFF YOU NEED TO KNOW FOR ALGEBRA - INTEGERS

  1. Adding Integers Using a Number Line
  2. Football and Other Integer Word Problems
  3. Subtracting Integers Using a Number Line
  4. Introduction to Absolute Value
  5. Using Absolute Value to Combine Integers
  6. Multiplying Integers Using a Number Line
  7. Multiplying Integers- Rules and Tricks
  8. Dividing Integers
  9. Dividing Integers- Rules and Tricks

SECTION 2 QUICK REVIEW: MORE STUFF YOU NEED TO KNOW FOR ALGEBRA - FACTORING AND FRACTIONS

  1. Factoring Integers
  2. Least Common Multiple
  3. Simplifying Fractions
  4. Adding and Subtracting Fractions
  5. Multiplying Fractions
  6. Dividing Fractions
  7. Converting Fractions to Decimals

SECTION 3 QUICK REVIEW: EVEN MORE RANDOM STUFF YOU NEED TO KNOW FOR ALGEBRA

  1. Exponents and Powers
  2. Order of Operations
  3. Working with Proportions
  4. Coordinate Grids

SECTION 4 PROPERTIES AND MENTAL MATH

  1. Zero, Identity and Inverse Properties
  2. Commutative and Associative Properties and Mental Math
  3. Distributive Property and Mental Math
  4. Properties Cheat Sheet

SECTION 5 EXPRESSIONS AND EQUATIONS

  1. Like Terms
  2. Expressions vs. Equations
  3. Solving One Step Equations Using Addition and Subtraction
  4. Solving One Step Equations Using Multiplication and Division
  5. Solving Two Step Equations
  6. Multi Step Equations - Combining Like Terms & Variables on Both Sides
  7. Multi Step Equations with Parenthesis
  8. Combining Like Terms with Multiple Variables

SECTION 6 WEIGHTED AVERAGES

  1. Weighted Averages Introduction: Slugging Average
  2. Weighted Averages: Weighted Grades
  3. Weighted Averages Grade Point Average Example
  4. Weighted Averages: Methods of Solving and Figuring in Midterm and Final Exam Grades
  5. Weighted Averages Social Studies Connection

SECTION 7 INTRODUCTION TO FUNCTIONS

  1. Relations and Functions Defined
  2. Function Notation
  3. Parent Functions
  4. Introduction to Graphing Transformations

SECTION 8 LINEAR FUNCTIONS

  1. Introduction to Linear Functions
  2. Linear Tables from Graphs
  3. Slope From Two Points
  4. Slope - Counting Rise over Run on a Graph
  5. Writing a Slope-Intercept Equation from a Graph
  6. Graphing Slope-Intercept Equations
  7. Creating a table from an Equation
  8. Graphing a Slope-Intercept Equation Using Intercepts
  9. Writing a Slope-Intercept Equation from the Slope and One Point
  10. Writing a Slope-Intercept Equation from Two Points
  11. Constant Functions
  12. Parallel Lines
  13. Perpendicular Lines
  14. Standard Form - Graphing Using X and Y Intercepts
  15. Converting From Standard Form to Slope-Intercept Form
  16. Writing the Point Slope Form of a Line Given the Slope and One Point
  17. Graphing Linear Equations in Point Slope Form
  18. Converting From Point Slope to Slope Intercept Form
  19. Piecewise Functions
  20. Linear Graphs: Transformations

SECTION 9 SCATTER PLOTS, BIVARIATE DATA ANALYSIS, AND LINEAR REGRESSION

  1. Creating Scatter Plots
  2. Scatter Plots and Correlation
  3. Least Squares Method of Determining Line of Best Fit
  4. Linear Correlation and Pearson's Correlation Coefficient
  5. Clusters and Outliers
  6. Scatter Plot Tools - Using MS Excel

SECTION 10 SYSTEMS OF LINEAR EQUATIONS

  1. Solving Systems of Linear Equations By Graphing
  2. Solving Systems of Equations using Simple Substitution Part One
  3. Solving Systems of Equations using Simple Substitution Part Two
  4. Solving Systems using Substitution and the Distributive Property
  5. Solving Systems using Substitution and the Distributive Property (including reformatting equations)
  6. Solving Systems using Elimination
  7. Solving Systems using Elimination (including reformatting equations)
  8. Solving Systems Using Elimination (finding the least common multiple)
  9. Systems with no solutions and infinitely many solutions (parallel and coincide)
  10. Systems with Three equations and Three Variables

SECTION 11 LINEAR INEQUALITIES

  1. That Nasty Two Faced Symbol - Which is Which?
  2. Graphing Inequalities with One Variable
  3. Solving and Graphing Positive One Step Inequalities
  4. Solving and Graphing Negative One Step Inequalities
  5. Solving and Graphing Two Step Inequalities
  6. Solving Multi Step Inequalities
  7. Graphs of Compound Inequalities
  8. Solving Compound Inequalities
  9. Solving Compound Inequalities with Negative Coefficients
  10. Graphing Inequalities with Two Variables (solid vs. dashed)
  11. Graphing Two Variable Inequalities in Standard Form
  12. Graphing Two Variable Inequalities in Point-Slope Form
  13. Graphing Systems of Linear Inequalities

SECTION 12 ABSOLUTE VALUE FUNCTIONS

  1. Absolute Value Expressions and Equations
  2. Absolute Value Functions: Transformations, Domain,and Range
  3. Absolute Value Piecewise Functions
  4. Absolute Value Inequalities
  5. Advanced Absolute Value Equations - Extraneous Solutions

SECTION 13 EXPONENTS AND EXPONENTIAL SYSTEMS

  1. Properties of Exponents
  2. Product Property - Multiplying Polynomials
  3. Power of a Power Property
  4. Power of a Product Property
  5. Combining the Multiplication Properties
  6. Power of a Fraction Property
  7. Quotient Property of Exponents (positive exponents)
  8. Zero and Negative Exponents
  9. Quotient Property of Exponents (positive and negative)
  10. Arithmetic and Geometric Sequences
  11. Recursive Linear Functions
  12. Exponential Recursive Functions
  13. Equations to Model Exponential Recursive Calculations

SECTION 14 WORKING WITH POLYNOMIALS

  1. Introduction to Polynomials - degree of polynomials
  2. Adding and Subtracting Polynomial Functions
  3. Adding and Subtracting Polynomial Functions With Function Notation
  4. Multiplying Binomials
  5. Multiplying Polynomials
  6. Multiplying with Function Notation
  7. Dividing Polynomials - Simplifying
  8. Dividing with Function Notation

SECTION 15 SQUARE ROOTS

  1. Simplifying Square Roots
  2. Simplifying Square Roots Containing Variables
  3. Simplifying Square Root Expressions Using the Complex Conjugate

SECTION 16 QUADRATIC EQUATIONS

  1. Introduction to Quadratic Equations
  2. Graphs and Solutions of Functions in the Form of ax² and ax² + c
  3. Area Models of Equations in the Form ax² + bx
  4. Area Models of Equations in the Form ax² + bx + c
  5. Converting from Factored Form to Standard Form
  6. Factoring Equations in ax² + bx format
  7. Factoring Equations in ax² + bx + c format with a = 1
  8. Factoring Equations in ax² + bx + c format with a Not = 1 using Guess and Check
  9. Special Factors - Difference of Two Squares
  10. Factoring 4 Terms by Grouping
  11. Using Grouping Strategies with Trinomials
  12. Getting to the Root of it All - Finding the Roots and Solutions by Factoring
  13. Using Roots to Find the Axis of Symmetry
  14. Using the Axis of Symmetry to Find the Vertex Point
  15. Graphing Using FRAV
  16. The -b Over 2a Shortcut
  17. Writing the Vertex form of a Quadratic Equation
  18. Stating the Vertex from the Vertex Form
  19. Converting from Vertex form to Standard Form
  20. Solving Equations by Taking the Root (ax² + bx)
  21. Solving Vertex Form Equations by Taking the Root
  22. Solving Equations by Completing the Square
  23. What is the Quadratic Formula
  24. Using the Quadratic Formula
  25. Imaginary Numbers
  26. Complex Numbers
  27. More Recursive Functions

SECTION 17 POWER FUNCTIONS WITH INTEGER EXPONENTS/POLYNOMIAL FUNCTIONS

  1. Power/Polynomial Functions: Equations
  2. Power/Polynomial Functions: Tables
  3. Introduction to the Symmetry of Power/Polynomial Functions
  4. Solving Power/Polynomial Functions by Taking the Root
  5. Factoring Power/Polynomial Functions and Expressions Using GCF
  6. Solving Power/Polynomial Functions Using GCF
  7. Factoring Power/Polynomial Functions and Expressions Using Grouping
  8. Solving Power/Polynomial Functions Using Grouping
  9. Factoring Power/Polynomial Functions Using Special Products
  10. Solving Power/Polynomial Functions Using Special Products
  11. Factoring Power/Polynomial Functions – Choosing the Best Method
  12. Graphs of Power/Polynomial Functions
  13. Graphs: Transformations to Power/Polynomial Function Output
  14. Graphs: Transformations to Power/Polynomial Function Input

SECTION 18 POWER FUNCTIONS WITH RADICALS AND RATIONAL EXPONENTS

  1. Introduction to Radicals and Radical Functions Including Rational Exponents
  2. Properties of Radicals
  3. Simplifying Radical Expressions
  4. Rationalizing Radical Denominators
  5. Adding and Subtracting Radicals
  6. Multiplying and Dividing Radicals
  7. Properties of Rational Exponents
  8. Simplifying Rational Exponents
  9. Adding and Subtracting with Rational Exponents
  10. Multiplying and Dividing with Rational Exponents
  11. Solving Radical Equations and Equations with Rational Exponents
  12. Radical Functions with Extraneous Solutions
  13. Translations to Graphs of Square Root Functions - Domain and Range
  14. Translations to Graphs of Cube Root Functions

SECTION 19 VARIATION

  1. Direct Variation
  2. Inverse Variation
  3. Solving Variation Using Proportions
  4. Nth Power Variation
  5. Joint Variation (Advanced Topic)

SECTION 20 RATIONAL FUNCTIONS

  1. Introduction to Rational Functions
  2. Simplifying Rational Functions
  3. Solving Rational Functions
  4. Holes, Asymptotes, and Graphs
  5. Horizontal Asymptotes

SECTION 21 ADVANCED FUNCTIONS

  1. Composite Functions
  2. Introduction to Inverse Functions
  3. Writing Inverse Functions
  4. Graphs of Inverse functions
  5. The Horizontal Line Test
  6. Verifying Inverse Relations
  7. Piecewise Combined

SECTION 22 REVIEW

States Links & Teacher Resources
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  1. Michigan