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PreAlgebra

Algebra 2

Algebra 1

Trigonometry

Geometry

PreCalculus

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PreAlgebra

PreAlgebra

Unit 1: Fraction and Negative Number Arithmetic

​Exercises

  1. Add and Subtract Fractions

  2. Multiplying Fractions
     

  3. Dividing Fractions 

  4. Simplify Fractions 

  5. Adding and Subtracting Negative Numbers 

  6. Multiplying Negative Numbers 

  7. Dividing Negative Numbers 

Text Book

  1. Adding Fractions

  2. Multiplying Fractions;
     

  3. Dividing Fractions

  4. Simplify Fractions 

  5. Adding and Subtracting Negative Numbers

  6. Multiplying Negative Numbers

  7. Dividing Negative Numbers

Videos​​

  1. Adding Fractions

  2. Multiplying Fractions;        
    Multiplying Fractions 2 

  3. Dividing Fractions

  4. Simplifying Fractions

  5. Adding and Subtracting Negative Numbers

  6. Multiplying Negative Numbers

  7. Dividing Negative Numbers

Unit 2: Prime Numbers and Exponents

​Exercises

  1. Prime Factorization
     

  2. Identify Prime Numbers
     

  3. Exponents (Basic) 

  4. Exponents 

  5. Negative Exponents 

  6. Multiply Powers 

  7. Powers of Powers

  8. Divide Powers
     

  9. Scientific Notation 

Text Book​

  1. Prime Factorization 
     

  2. Identify Prime Numbers
     

  3. Exponents 

  4. Exponents (More Advanced)

  5. Negative Exponents 

  6. Multiply Powers 

  7. Powers of Powers 

  8. Divide Powers 
     

  9. Scientific Notation 

Videos​​​​

  1. Prime Factorization: Intro
    Prime Factorization: Practice

  2. Identify Prime Numbers: Intro 
    Identify Prime Numbers: Practice

  3. Exponents 

  4. Exponents

  5. Negative Exponents

  6. Multiply Powers

  7. Powers of Powers

  8. Divide Powers
    Divide Powers: Practice

  9. Scientific Notation

Unit 3: Decimals, Percents, and Fractions

​​Exercises

  1. Adding Decimals

  2. Multiply Decimals

  3. Divide Decimals
     

  4. Convert Percents to Decimals

  5. Convert Decimals to Percents

  6. Convert Fractions to Percents

  7. Convert Percents to Fractions

  8. Finding Percents

​​Text Book

  1. Adding Decimals

  2. Multiply Decimals

  3. Divide Decimals
     

  4. Convert Percents to Decimals

  5. Convert Decimals to Percents

  6. Convert Fractions to Percents

  7. Convert Percents to Fractions

  8. Finding Percents

Videos​​

  1. Adding Decimals

  2. Multiplying Decimals

  3. Dividing Decimals: Intro
    Dividing Decimals: Practice

  4. Converting Percents to Decimals

  5. Converting Decimals to Percents

  6. Converting Fractions to Percents

  7. Converting Percents to Fractions

  8. Finding Percents: Intro
    Finding Percents: Practice

Unit 4: Order of Operations, Coordinate Plane, and Basic Equations

​​Exercises​​

  1. Points on the Coordinate Plane 

  2. Order of Operations 
     

  3. One Step Addition and Subtraction Equations 

  4. One Step Addition and Subtraction Equations: Fractions and Decimals 

  5. One Step Multiplication and Division Equations 

  6. One Step Multiplication and Division Equations: Fractions and Decimals 

  7. Two Step Equations

​​Text Book​

  1. The Coordinate Plane

  2. Order of Operations 
     

  3. One Step Addition and Subtraction Equations 

  4. One Step Addition and Subtraction Equations: Fractions and Decimals 

  5. One Step Multiplication and Division Equations 

  6. One Step Multiplication and Division Equations: Fractions and Decimals 

  7. Two Step Equations

Videos​​​​

  1. The Coordinate Plane

  2. Order of Operations: Intro
    Order of Operations: Examples

  3. One Step Equations: Addition and Subtraction

  4. One Step Equations: Addition and Subtraction with Fractions and Decimals

  5. One Step Equations: Multiplication and Division

  6. One Step Equations: Multiplication and Division with Fractions and Decimals

  7. Two Step Equations: Intro
    Two Step Equations: Practice

Algebra 1

Algebra 1

Unit 1: Algebra Foundations

​Exercises

  1. Evaluating Expressions with One Variable 

  2. Evaluating Expressions with Multiple Variables 

  3. Evaluating Expressions with Multiple Variables: Fractions and Decimals 

  4. Variable Expressions with Exponents

  5. Identify Equations, Expressions, and Inequalities 

  6. Combining Like Terms with Negative Coefficients  

  7. Combining Like Terms with Negative Coefficients and Distribution 

  8. Combining Like Terms with Rational Coefficients 

  9. Equivalent Expressions 

​Text Book

  1. Evaluating Expressions with One Variable 

  2. Evaluating Expressions with Multiple Variables 

  3. Evaluating Expressions with Multiple Variables: Fractions and Decimals 

  4. Variable Expressions with Exponents 

  5. Identify Equations, Expressions, and Inequalities 

  6. Combining Like Terms with Negative Coefficients  

  7. Combining Like Terms with Negative Coefficients and Distribution 

  8. Combining Like Terms with Rational Coefficients 

  9. Equivalent Expressions 

Videos​​​

  1. Evaluating Expressions
     

  2. Evaluating Expressions: Multiple Variables

  3. Evaluating Expressions: Multiple Variables

  4. Variable Expressions with Exponents

  5. Equations, Expressions, and Inequalities
     

  6. Combining Like Terms 1
     

  7. Combining Like Terms 2
     

  8. Combining Like Terms: Rational Coefficients

  9. Equivalent Expressions

Unit 2: Equations and Inequalities

​Exercises​

  1. Equations with Variables on Both Sides 

     

  2. Equations with Variables on Both Sides: Fractions and Decimals 

  3. Equations with Parenthesis 
     

  4. Equations with Parenthesis: Decimals and Fractions 
     

  5. Reasoning with Linear Equations 

  6. Number of Solutions to Equations
     

  7. Linear Equations with Unknown Coefficients

  8. Multi-Step Linear Inequalities

  9. Using Inequalities to Solve Problems
     

  10. Compound Inequalities

Text Book​

  1. Equations with Variables on Both Sides

     

  2. Equations with Variables on Both Sides: Fractions and Decimals 

  3. Equations with Parenthesis 
     

  4. Equations with Parenthesis: Decimals and Fractions 
    Examples

  5. Reasoning with Linear Equations 

  6. Number of Solutions to Equations
     

  7. Linear Equations with Unknown Coefficients

  8. Multi-step Linear Inequalities

  9. Using Inequalities to Solve Problems
     

  10. Compound Inequalities

Videos​​​

  1. Equations with Variables on Both Sides: Intro
    Equations with Variables on Both Sides: Practice

  2. Equations with Variables on Both Sides: Fractions

  3. Equations with Parenthesis: Intro
    Equations with Parenthesis: Practice

  4. Equations with Parenthesis: Fractions

     

  5. Reasoning with Linear Equations

  6. Number of Solutions to Equations: Intro
    Number of Solutions to Equations: Practice

  7. Linear Equations with Unknown Coefficients 1
    Linear Equations with Unknown Coefficients 2

  8. Solving Linear Inequalities

  9. Using Inequalities to Solve Problems: Intro
    Using Inequalities to Solve Problems: Practice

  10. Compound Inequalities: Intro
    Compound Inequalities: Strategy
    Compound Inequalities: Practice
    Compound Inequalities: Challenge Problems

Unit 3: Working with Units

​Exercises

  1. Unit Rates

  2. Rate Conversion

  3. Formulas and Units

  4. Using Units to Solve Problems

​Text Book​

  1. Unit Rates 

  2. Rate Conversion

  3. Formulas and Units

  4. Using Units to Solve Problems

Videos​​​

  1. Unit Rates: Intro
    Unit Rates: Practice

  2. Rate Conversion: Intro
    Rate Conversion: Practice
    Rate Conversion: Challenge Problems

  3. Formulas and Units: Intro
    Formulas and Units: Practice

  4. Using Units to Solve Problems: Intro
    Using Units to Solve Problems: Practice

Unit 4: Linear Equations and Graphs

​Exercises

  1. Solutions to 2 Variable Equations

  2. Complete Solutions to 2 Variable Equations

  3. Slope from Graph

  4. Graphing from Slope

  5. Slope in a Table

  6. Slope from Two Points

  7. Horizontal and Vertical Lines

  8. Intercepts from a Graph

  9. Intercepts from an Equation

  10. Intercepts from a Table

  11. Using Slopes and Intercepts in Context

  12. Linear Equations Word Problems: Tables

  13. Linear Equations Word Problems: Graph 

Text Book

  1. Solutions to 2 Variable Equations

  2. Complete Solutions to 2 Variable Equations

  3. Slope from Graph

  4. Graphing from Slope (Ex: 4.35)

  5. Slope in a Table

  6. Slope from Two Points

  7. Horizontal and Vertical Lines

  8. Intercepts from a Graph

  9. Intercepts from an Equation

  10. Intercepts from a Table

  11. Using Slopes and Intercepts in Context

  12. Linear Equations Word Problems: Tables

  13. Linear Equations Word Problems: Graph 

Videos​​

  1. Equations of Lines: Intro
    Equations of Lines: Solutions

  2. Complete Solutions to 2 Variable Equations

  3. Slope from Graph

  4. Equations of Lines: Graphing From Slope

  5. Slope in a Table

  6. Equations of Lines: Slope From 2 Points

  7. Horizontal and Vertical Lines

  8. Equations of Lines: Intercepts

  9. Equations of Lines: Intercepts

  10. Equations of Lines: Intercepts

  11. Using Slope and Intercepts in Context

  12. Linear Equations Word Problems with Tables: Intro
    Linear Equations Word Problems with Tables: Practice

  13. Linear Equations Word Problems with Graphs: Intro
    Linear Equations Word Problems with Graphs: Practice

Unit 5: Forms of Linear Equations

​Exercises​

  1. Slope Intercept Intro 

  2. Linear Equations Word Problems 

  3. Graph from Slope Intercept Form 

  4. Slope Intercept Equation from Graph 

  5. Slope Intercept from Two Points 

  6. Writing Linear Equations Word Problems 

  7. Point Slope Form 

  8. Graph from Linear Standard Form 

  9. Convert Linear Equations to Standard Form 

  10.  Slope from Equation 

  11.  Linear Equations in Any Form 

Text Book​​

  1. Slope Intercept Intro 

  2. Linear Equations Word Problems 

  3. Graph from Slope Intercept Form 

  4. Slope Intercept Equation from Graph 

  5. Slope Intercept from Two Points 

  6. Writing Linear Equations Word Problems 

  7. Point Slope Form 

  8. Graph from Linear Standard Form 

  9. Convert Linear Equations to Standard Form 

  10.  Slope from Equation 

  11.  Linear Equations in Any Form 

Videos​​​

  1. Equations of Lines: Slope Intercept Form 1
    Equations of Lines: Slope Intercept Form 2

  2. Linear Equations Word Problems: Intro
    Linear Equations Word Problems: Practice

  3. Graph from Slope Intercept Form: Intro
    Graph from Slope Intercept Form: Practice

  4. Equations of Lines: Finding the Equation

  5. Equations of Lines: Slope From 2 Points

  6. Writing Linear Equations Word Problems: Intro
    Writing Linear Equations Word Problems: Strategy
    Writing Linear Equations Word Problems: Practice
    Writing Linear Equations Word Problems: Challenge Problems

  7. Point Slope Form: Intro

  8. Equations of Lines: Standard Form

  9. Equations of Lines: Standard Form 2

  10. Slope from Equation

  11. Equations of Lines: Finding the Equation 2

Unit 6: Systems of Equations

​Exercises

  1. Solutions of Systems of Equations 

  2. Systems of Equations with Graphing 

  3. Creating Systems in Context 

  4. Systems of Equations with Substitution 

  5. Combining Equations 

  6. Elimination Strategies 

  7. Systems of Equations with Elimination 

  8. Number of Solutions to a System of Equations Graphically  

  9. Number of Solutions to a System of Equations Algebraically 

  10. Age Word Problems 

  11. Systems of Equations Word Problems 

Text Book​

  1. Solutions of Systems of Equations 

  2. Systems of Equations with Graphing 

  3. Creating Systems in Context 

  4. Systems of Equations with Substitution 

  5. Combining Equations 

  6. Elimination Strategies 

  7. Systems of Equations with Elimination 

  8. Number of Solutions to a System of Equations Graphically  

  9. Number of Solutions to a System of Equations Algebraically 

  10. Age Word Problems 

  11. Systems of Equations Word Problems 

Videos​​

  1. Systems of Equations: Solutions

  2. Systems of Equations with Graphing: Intro
    Systems of Equations with Graphing: Practice
    Systems of Equations with Graphing: Challenge Problems

  3. Creating Systems in Context: Intro
    Creating Systems in Context: Practice
    Creating Systems in Context: Challenge Problems

  4. Systems of Equations with Substitution: Intro
    Systems of Equations with Substitution: Practice

  5. Combining Equations

  6. Elimination Strategies

  7. Systems of Equations with Elimination

  8. Number of Solutions to a System of Equations: Graphs
    Number of Solutions to a System of Equations: Practice

  9. Number of Solutions to a System of Equations: Algebraic

  10. Age Word Problems: Intro
    Age Word Problems: Practice
    Age Word Problems: Challenge Problems

  11. Systems of Equations Word Problems: Intro
    Systems of Equations Word Problems: Practice
    Systems of Equations Word Problems: Strategy
    Systems of Equations Word Problems: Challenge Problem

Unit 7: Inequalities (Systems and Graphs)

​Exercises​

  1. Solutions of Inequalities: Algebraic 

  2. Solutions of Inequalities: Graphical 

  3. Solutions of Systems of Inequalities 

  4. Graphs of Inequalities 

  5. Two Variable Inequalities from their Graphs 

  6. Systems of Inequalities Graphs 

​Text Book​

  1. Solutions of Inequalities: Algebraic 

  2. Solutions of Inequalities: Graphical 

  3. Solutions of Systems of Inequalities 

  4. Graphs of Inequalities 

  5. Two Variable Inequalities from their Graphs 

  6. Systems of Inequalities Graphs 

Videos​​​

  1. Solutions of Inequalities: Algebraic

  2. Solutions of Inequalities: Graphical

  3. Systems of Inequalities

  4. Graphs of Inequalities

  5. Two Variable Inequalities from their Graphs

  6. Systems of Inequalities

Unit 8: Functions

​Exercises

  1. Evaluate Functions 

  2. Evaluate Functions from their Graph 

  3. Evaluate Function Expressions 

  4. Function Inputs and Outputs: Equations 

  5. Function Inputs and Outputs: Graph 

  6. Function Notation Word Problems 

  7. Domain and Range from Graph 

  8. Identifying Values in the Domain 

  9. Determine the Domain of Functions 

  10. Function Domain Word Problems 

  11. Recognize Functions from Graphs 

  12. Recognize Functions from Tables

  13. Relative Maxima and Minima 

  14. Absolute Maxima and Minima 

  15. Positive and Negative Intervals 

  16. Increasing and Decreasing Intervals 

  17. Average Rate of Change: Graphs and Tables 

  18. Average Rate of Change Word Problems 

  19. Evaluate Inverse Functions 

  20. Finding Inverses of Linear Functions 

Text Book

  1. Evaluate Functions 

  2. Evaluate Functions from their Graph

  3. Evaluate Function Expressions

  4. Function Inputs and Outputs: Equation

  5. Function Inputs and Outputs: Graph

  6. Function Notation Word Problems 

  7. Domain and Range from Graph

  8. Identifying Values in the Domain

  9. Determine the Domain of Function

  10. Function Domain Word Problems 

  11. Recognize Functions from Graphs 

  12. Recognize Functions from Tables

  13. Relative Maxima and Minima 

  14. Absolute Maxima and Minima 

  15. Positive and Negative Intervals 

  16. Increasing and Decreasing Intervals 

  17. Average Rate of Change: Graphs and Tables 

  18. Average Rate of Change Word Problems 

  19. Evaluate Inverse Functions 

  20. Finding Inverses of Linear Functions 

Videos​​

  1. Evaluate Functions: Intro
    Evaluate Functions 2

  2. Evaluate Functions from Their Graph

  3. Evaluate Function Expressions

  4. Function Inputs and Outputs: Equation

  5. Function Inputs and Outputs: Graph

  6. Function Notation Word Problems: Intro
    Function Notation Word Problems: Practice
    Function Notation Word Problems: Challenge Problems

  7. Domain and Range: Intro
    Domain and Range from Graph

  8. Identifying Values in the Domain

  9. Determine the Domain of Functions: Intro
    Determine the Domain of Functions: Practice

  10. Function Domain Word Problems: Intro
    Function Domain Word Problems: Practice

  11. Recognize Functions from Graphs

  12. Recognize Functions from Tables

  13. Relative Maxima and Minima

  14. Absolute Maxima and Minima

  15. Positive and Negative Intervals

  16. Increasing and Decreasing Intervals

  17. Average Rate of Change of Polynomials: Intro
    Average Rate of Change: Graphs

  18. Average Rate of Change Word Problems: Intro

  19. Inverse Functions: Intro
    Inverse Functions: Evaluation

  20. Finding Inverses of Linear Functions: Intro
    Finding Inverses of Linear Functions: Practice

Unit 9: Sequences

​Exercises​

  1. Extend Arithmetic Sequences

  2. Use Arithmetic Sequence Formulas

  3. Recursive Formulas for Arithmetic Sequences

  4. Explicit Formulas for Arithmetic Sequences

  5. Converting Recursive and Explicit Forms of Arithmetic Sequences

  6. Extend Geometric Sequences

  7. Extend Geometric Sequences: Negatives and Fractions

  8. Use Geometric Sequence Formulas

  9. Recursive Formulas for Geometric Sequences

  10. Explicit Formulas for Geometric Sequences

  11. Converting Recursive and Explicit Forms of Geometric Sequences

  12. Sequences Word Problems

  13. Evaluate Sequences in Recursive Form

  14. Sequences and Domain

Text Book

  1. Extend Arithmetic Sequences

  2. Use Arithmetic Sequence Formulas

  3. Recursive Formulas for Arithmetic Sequences

  4. Explicit Formulas for Arithmetic Sequences

  5. Converting Recursive and Explicit Forms of Arithmetic Sequences

  6. Extend Geometric Sequences

  7. Extend Geometric Sequences: Negatives and Fractions

  8. Use Geometric Sequence Formulas

  9. Recursive Formulas for Geometric Sequences

  10. Explicit Formulas for Geometric Sequences

  11. Converting Recursive and Explicit Forms of Geometric Sequences

  12. Sequences Word Problems

  13. Evaluate Sequences in Recursive Form

  14. Sequences and Domain

Videos​​

  1. Arithmetic and Geometric Sequences
    Extend Arithmetic Sequences

  2. Arithmetic Sequences Formulas
    Arithmetic Sequences Formulas: Examples

  3. Recursive Formulas for Arithmetic Sequences
    Recursive Formulas for Arithmetic Sequences: Practice

  4. Explicit Formulas for Arithmetic Sequences
    Explicit Formulas for Arithmetic Sequences: Challenge Problems

  5. Converting Recursive and Explicit Forms of Arithmetic Sequences
    Converting Recursive and Explicit Forms of Arithmetic Sequences: Challenge Problem

  6. Extend Geometric Sequences

  7. Extend Geometric Sequences: Negatives and Fractions
    Extend Geometric Sequences: Challenge Problems

  8. Geometric Sequence Formulas
    Geometric Sequence Formulas: Practice

  9. Recursive Formulas for Geometric Sequences
    Recursive Formulas for Geometric Sequences: Practice

  10. Explicit Formulas for Geometric Sequences
    Explicit Formulas for Geometric Sequences: Example
    Explicit Formulas for Geometric Sequences: Challenge Problems

  11. Converting Recursive and Explicit Forms for Geometric Sequences
    Converting Recursive and Explicit Forms for Geometric Sequences: Challenge Problem

  12. Sequence Word Problems: Arithmetic Sequences
    Sequence Word Problems: Geometric Sequences

  13. Evaluate Sequences in Recursive Form
    Evaluate Sequences in Recursive Form: Practice

  14. Sequences and Domain
    Sequences and Domain: Practice

Unit 10: Absolute Value and Piecewise Functions

​Exercises

  1. Shift Absolute Value Graphs

  2. Scale and Reflect Absolute Value Graphs

  3. Evaluate Piecewise Functions

  4. Evaluate Step Functions

  5. Piecewise Functions Graphs

Text Book

  1. Shift Absolute Value Graphs

  2. Scale and Reflect Absolute Value Graphs​

  3. Evaluate Piecewise Functions

  4. Evaluate Step Functions

  5. Piecewise Functions Graphs

Videos​​

  1. Shift Absolute Value Graphs: Intro
    Shift Absolute Value Functions: Practice

  2. Scale and Reflect Absolute Value Functions: Intro
    Scale and Reflect Absolute Value Functions: Practice

  3. Evaluate Piecewise Functions

  4. Step Functions
    Step Function: Floor Function
    Step Function: Ceiling Function

  5. Piecewise Functions: Graphs

Unit 11: Exponents and Radicals

​Exercises​

  1. Multiply and Divide Powers (Integer Exponents) 

  2. Powers of Products and Quotients (Integer Exponents) 

  3. Properties of Exponents Challenge (Integer Exponents)

  4. Square Roots 

  5. Roots of Decimals and Fractions

  6. Cube Roots

  7. Simplify Square Roots

  8. Simplify Square Roots (Variables)

  9. Simplify Square Root Expressions

Text Book

  1. Multiply and Divide Powers (Integer Exponents) 

  2. Powers of Products and Quotients (Integer Exponents) 

  3. Properties of Exponents Challenge (Integer Exponents)

  4. Square Roots

  5. Roots of Decimals and Fractions

  6. Cube Roots

  7. Simplify Square Roots

  8. Simplify Square Roots (Variables)

  9. Simplify Square Root Expressions

Videos​​​​

  1. Multiply and Divide Powers

  2. Powers of Products and Quotients

  3. Properties of Exponents (Integer Exponents): Intro
    Properties of Exponents (Integer Exponents): Practice

  4. Square Roots

  5. Roots of Decimals and Fractions
    Roots of Decimals and Fractions: Practice

  6. Cube Roots

  7. Simplify Square Roots: Intro
    Simplify Square Roots: Examples

  8. Simplify Square Roots (Variables): Intro
    Simplify Square Roots (Variables): Practice​

  9. Simplify Square Root Expressions: Intro
    Simplify Square Root Expressions: Practice

Unit 12: Exponential Growth and Decay

​Exercises

  1. Exponential Vs. Linear Growth

  2. Exponential Vs. Linear Models

  3. Exponential Expressions Word Problems (Numerical)

  4. Exponential Expressions Word Problems (Algebraic)

  5. Interpret Exponential Expressions Word Problems

  6. Graphs of Exponential Growth

  7. Exponential Growth Vs. Decay

  8. Graphing Exponential Growth and Decay

  9. Writing Functions with Exponential Decay

  10. Exponential Functions from Tables and Graphs

Text Book

  1. Exponential Vs. Linear Growth

  2. Exponential Vs. Linear Models

  3. Exponential Expressions Word Problems (Numerical)

  4. Exponential Expressions Word Problems (Algebraic)

  5. Interpret Exponential Expressions Word Problems

  6. Graphs of Exponential Growth

  7. Exponential Growth Vs. Decay

  8. Graphing Exponential Growth and Decay

  9. Writing Functions with Exponential Decay

  10. Exponential Functions from Tables and Graphs

Videos​​

  1. Exponential Vs Linear Equations 1

  2. Exponential Vs Linear Equations 2

  3. Exponential Expressions Word Problems (Numerical)
    Exponential Expressions Word Problems (Numerical): Practice

  4. Exponential Expressions Word Problems (Algebraic)
    Exponential Expressions Word Problems (Algebraic): Practice
    Exponential Expressions Word Problems (Algebraic): Challenge Problem

  5. Interpret Exponential Expression Word Problems
    Interpret Exponential Expression Word Problems: Practice

  6. Graphs of Exponential Growth
    Graphs of Exponential Growth: Practice

  7. Exponential Growth vs Decay: Intro
    Exponential Growth vs Decay: Practice

  8. Graphing Exponential Growth and Decay
    Graphing Exponential Growth and Decay: Practice

  9. Writing Functions with Exponential Decay
    Writing Functions with Exponential Decay: Practice
    Writing Functions with Exponential Decay: Challenge Problem

  10. Exponential Functions from Graphs
    Exponential Functions from Tables

Unit 13 Quadratics (Multiplying and Factoring)

​Exercises

  1. Polynomials Intro

  2. Multiply Binomials: Area Model

  3. Multiply Binomials Intro

  4. Multiply Binomials

  5. Multiply Difference of Squares

  6. Multiply Perfect Squares of Binomials

  7. GCF Factoring Introduction

  8. Factoring Quadratics Intro

  9. Factoring Quadratics with a Common Factor

  10. Factoring Quadratics by Grouping

  11. Difference of Squares Intro

  12. Difference of Squares

  13. Perfect Squares Intro

  14. Perfect Squares

Text Book

  1. Polynomials Intro

  2. Multiply Binomials: Area Model

  3. Multiply Binomials Intro

  4. Multiply Binomials

  5. Multiply Difference of Squares

  6. Multiply Perfect Squares of Binomials

  7. GCF Factoring Introduction

  8. Factoring Quadratics Intro

  9. Factoring Quadratics with a common Factor

  10. Factor Quadratics by Grouping; Part 2

  11. Difference of Squares Intro

  12. Difference of Squares

  13. Perfect Squares Intro

  14. ​Perfect Squares

Videos​​

  1. Polynomials: Intro
    Polynomials Intro: Practice

  2. Multiply Binomials: Area Model

  3. Multiplying Binomials

  4. Multiplying Binomials 2

  5. Multiplying Binomial: Special Products

  6. Multiplying Binomial: Special Products

  7. ​Factoring: Intro

  8. Factoring Quadratics

  9. Factoring Quadratics with a Common Factor: Intro
    Factoring Quadratics with a Common Factor: Practice

  10. Factoring Quadratic by Grouping: Intro
    Factoring Quadratic by Grouping: Example
    Factoring Quadratic by Grouping: Practice

  11. Difference of Squares: Intro

  12. Difference of Squares: Practice

  13. Factoring Perfect Squares: Intro

  14. Factoring Perfect Squares: Practice

Unit 14: Quadratic Functions and Equations

​Exercises​

  1. Parabolas Intro

  2. Interpret Parabolas in Context

  3. Interpret a Quadratic Graph

  4. Zero Product Property

  5. Graph Quadratics in Factored Form

  6. Quadratic Word Problems (Factored Form)

  7. Quadratics by Taking Square Roots (Intro)

  8. Quadratics by Taking Square Roots

  9. Graph Quadratics in Vertex Form

  10. Quadratic Word Problems (Vertex Form)

  11. Quadratics by Factoring (Intro)

  12. Quadratics by Factoring

  13. Quadratic Formula

  14. Number of Solutions of Quadratic Equations

  15. Completing the Square (Intro)

  16. Completing the Square (Intermediate)

  17. Solve Equations by Completing the Square

  18. Graph Quadratics in Standard Form

  19. Features of Quadratic Functions: Strategy

  20. Shift Parabolas

  21. Scale and Reflect Parabolas

Text Book

  1. Parabolas Intro

  2. Interpret Parabolas in Context

  3. Interpret a Quadratic Graph

  4. Zero Product Property

  5. Graph Quadratics in Factored Form

  6. Quadratic Word Problems (Factored Form)

  7. Quadratics by Taking Square Roots (Intro)

  8. Quadratics by Taking Square Roots

  9. Graph Quadratics in Vertex Form

  10. Quadratic Word Problems (Vertex Form)

  11. Quadratics by Factoring (Intro)

  12. Quadratics by Factoring

  13. Quadratic Formula

  14. Number of Solutions of Quadratic Equations

  15. Completing the Square (Intro)

  16. Completing the Square (Intermediate)

  17. Solve Equations by Completing the Square

  18. Graph Quadratics in Standard Form

  19. Features of Quadratic Functions: Strategy

  20. Shift Parabolas

  21. Scale and Reflect Parabolas

Videos​​​

  1. Parabolas: Intro

  2. Interpret Parabolas in Context

  3. Interpret a Quadratic Graph: Intro
    Interpret a Quadratic Graph: Practice

  4. Zero Product Property

  5. Graph Quadratics in Factored Form: Intro
    Graph Quadratics in Factored Form: Practice

  6. Quadratic Word Problems in Factored Form: Intro
    Quadratic Word Problems in Factored Form: Practice
    Quadratic Word Problems in Factored Form: Challenge Problems

  7. Solving Quadratics by Taking Square Roots: Intro

  8. Solving Quadratics by Taking Square Roots: Practice
    Solving Quadratics by Taking Square Roots: Challenge Problems

  9. Graph Quadratics in Vertex Form: Intro
    Graph Quadratics in Vertex Form: Practice

  10. Quadratic Word Problems in Vertex Form: Intro
    Quadratic Word Problems in Vertex Form: Practice

  11. Quadratics by Factoring: Intro
    Quadratics by Factoring: Practice

  12. Quadratics by Factoring: Challenge Problems

  13. The Quadratic Formula 1
    The Quadratic Formula 2

  14. Number of Solutions of Quadratic Equations: Intro
    Number of Solutions of Quadratic Equations: Practice

  15. Completing the Square 
    Completing the Square: Intro Problems

  16. Completing the Square: Intermediate Problems

  17. Solve Equations by Completing the Square
    Solve Equations by Completing the Square: Practice

  18. Graph Quadratics in Standard Form
    Graph Quadratics in Standard Form: Strategy
    Graph Quadratics in Standard Form: Practice
    ​Graph Quadratics in Standard Form: More Practice

  19. Features of Quadratic Functions: Strategy
    Compare Quadratic Functions

  20. Shift Parabolas: Intro 
    Shift Parabolas: Practice

  21. Scale and Reflect Parabolas: Intro 
    Scale and Reflect Parabolas: Practice

Unit 15: Irrational Numbers

​Exercises​

  1. Classify Numbers: Rational & Irrational

  2. Rational vs Irrational Expressions

Text Book​

  1. Classify Numbers: Rational & Irrational 

  2. Rational vs Irrational Expressions

Videos​​​

  1. Classify Numbers: Rational and Irrational
    Classify Numbers (Rational and Irrational): Decimals
    Classify Numbers (Rational and Irrational): Repeating Decimals
    Classify Numbers (Rational and Irrational): Challenge Problems

  2.  

Geometry

Geometry

Unit 1: Geometry Basics

​​Exercises​

  1. Classify Triangles by Both Sides and Angles

  2. Identify Quadrilaterals

  3. Area of Rectangles

  4. Find Perimeter When Given Side Lengths

  5. Area of Parallelograms

  6. Area of Triangles

  7. Find Missing Length When Given the Area of a Triangle

  8. Decompose Area with Triangles

  9. Area of Composite Shapes

  10. Circumference of a Circle

  11. Area of a Circle

  12. Identify Geometric Solids

  13. Volume of Rectangular Prisms

  14. Volume Word Problems

  15. Surface Area

​​Text Book

  1. Classify Triangles by Both Sides and Angles

  2. Identify Quadrilaterals

  3. Area of Rectangles

  4. Find Perimeter When Given Side Lengths

  5. Area of Parallelograms

  6. Area of Triangles

  7. Find Missing Length When Given the Area of a Triangle

  8. Decompose Area with Triangles

  9. Area of Composite Shapes

  10. Circumference of a Circle

  11. Area of a Circle

  12. Identify Geometric Solids

  13. Volume of Rectangular Prisms

  14. Volume Word Problems

  15. Surface Area

Videos​​

  1. Classify Triangles by Side Length and Angle Measure
    Classify Triangles by Length and Angle Measure: Practice

  2. Identify and Classify Quadrilaterals
    Identify and Classify Quadrilaterals: Practice

  3. Area of Rectangles
    Area of Rectangles: Finding a Formula
    Area of Rectangles: Practice

  4. Finding the Perimeter
    Finding the Perimeter: Practice

  5. Area of Parallelograms
    Area of Parallelograms: Practice

  6. Area of Triangles
    Area of Triangles: Formula
    Area of Triangles: Practice

  7. Area of a Triangle: Missing Side Length
    Area of a Triangle: Missing Side Length (Practice)

  8. Area of Composite Shapes
    Area of Composite Shapes: Decompose Into Triangles

  9. Area of Composite Shapes: Practice
    Area of Composite Shapes: Trapezoids
    Formula for the Area of a Trapezoid
    Formula for the Area of a Trapezoid: Alternate Derivation

  10. Circumference of a Circle
    Circumference of a Circle: Practice

  11. Area of a Circle
    Area of a Circle: Practice

  12. Identify Geometric Solids: Prisms
    Identify Geometric Solids: Cylinders, Cones, and Pyramids

  13. Volume of Rectangular Prisms
    Volume of Rectangular Prisms: Cubes
    Volume of Rectangular Prisms: Practice

  14. Volume Word Problems
    Volume Word Problems: Practice

  15. Surface Area: Rectangular Prisms
    Surface Area: Cube
    Surface Area: Square Pyramid
    Surface Area: Equilateral Triangular Prism
    Surface Area: General Triangular Prism

Unit 2: Angles

​Exercises

  1. Name Angles

  2. Identify Supplementary, Complimentary, and Vertical Angles

  3. Complementary and Supplementary Angles (Visual)

  4. Finding Angle Measures Between Intersecting Lines

  5. Angle Relationships with Parallel Lines

  6. Find Angles in Triangles

  7. Find Angles in Isosceles Triangles

  8. Finding Angle Measures Using Triangles

  9. Unknown Angle Problems (With Algebra)

  10. Equation Practice with Angle Addition

  11. Equation Practice with Angles

​Text Book

  1. Name Angles

  2. Identify Supplementary, Complimentary, and Vertical Angles

  3. Complementary and Supplementary Angles (Visual)

  4. Finding Angle Measures Between Intersecting Lines

  5. Angle Relationships with Parallel Lines

  6. Find Angles in Triangles

  7. Find Angles in Isosceles Triangles

  8. Finding Angle Measures Using Triangles

  9. Unknown Angle Problems (With Algebra)

  10. Equation Practice with Angle Addition

  11. Equation Practice with Angles

Videos​​​

  1. Naming Angles in Geometric Figures

  2. Supplementary, Complementary, and Vertical Angles
    Supplementary, Complementary, and Vertical Angles: Practice

  3. Complementary and Supplementary Angles: Finding Missing Angles
    Complementary and Supplementary Angles: Practice Finding a Missing Angle

  4. Finding Angle Measures Between Intersecting Lines
    Finding Angle Measures Between Intersecting Lines: Practice

  5. Angle Relationships with Parallel Lines
    Angle Relationships with Parallel Lines: Practice

  6. Find Angles in Triangles
    Find Angles in Triangles: Practice

  7. Find Angles in Isosceles Triangles
    Find Angles in Isosceles Triangles: Practice

  8. Finding Angles Measures Using Triangles
    Finding Angles Measures Using Triangles: Practice

  9. Finding Unknown Angles with Algebra
    Finding Unknown Angles (with Algebra): Practice

  10. Angle Addition with Equations
    Angle Addition with Equations: Practice

  11. Finding Missing Angles in Parallel Lines (with Equations)
    Finding Missing Angles in Parallel Lines (with Equations): Practice

Unit 3: Congruence and Similarity

​​Exercises​

  1. Determine Congruent Triangles

  2. Prove Congruent Triangles

  3. Find Angles in Congruent Triangles

  4. Determine Similar Triangles: Angles

  5. Determine Similar Triangles: SSS

  6. Prove Triangle Similarity

  7. Solve Similar Triangles (Basic)

  8. Solve Similar Triangles (Advanced)

  9. Solve Triangles: Angle Bisector Theorem

  10. Use Similar Triangles

​​Text Book​

  1. Determine Congruent Triangles

  2. Prove Congruent Triangles

  3. Find Angles in Congruent Triangles

  4. Determine Similar Triangles: Angles

  5. Determine Similar Triangles: SSS

  6. Prove Triangle Similarity

  7. Solve Similar Triangles (Basic)

  8. Solve Similar Triangles (Advanced)

  9. Solve Triangles: Angle Bisector Theorem

  10. Use Similar Triangles

Videos​​

  1. Congruent Triangles
    Congruent Triangles: Side Side Side Postulate (SSS)
    Congruent Triangles: Side Angle Side Postulate (SAS)
    Congruent Triangles: Angle Side Angle Postulate (ASA)
    Congruent Triangles: Angle Angle Side Theorem (AAS)
    Congruent Triangles: Hypotenuse Leg Theorem (HL)
    Determine Congruent Triangles
    Determine Congruent Triangles: Practice
    Determine Congruent Triangles: Challenge Problems

  2. ​

  3. Find Angles in Congruent Triangles
    Find Angles in Congruent Triangles: Practice

  4. Similar Triangles
    Determine Similar Triangles: Angles
    Determine Similar Triangles (Angles): Practice

  5. Determine Similar Triangles: Side Lengths
    Determine Similar Triangles by Side Lengths: Practice

  6.  

  7. Solve Similar Triangles
    Solve Similar Triangles: Practice

  8. Solve Similar Triangles (Advanced)
    Solve Similar Triangles (Advanced): Practice
    Solve Similar Triangles (Advanced): More Practice

  9.  

  10. Use Similar Triangles
    Use Similar Triangles: Practice
    Use Similar Triangles: Challenge Problem

Unit 4: Right Triangles and The Pythagorean Theorem

​​Exercises

  1. Use Pythagorean Theorem to Find Right Triangles Side Lengths

  2. Use Pythagorean Theorem to Find Isosceles Triangle Side Lengths

  3. Pythagorean Theorem Word Problems

  4. Pythagorean Theorem in 3D

  5. Pythagorean Theorem Challenge

  6. Special Right Triangles

​​Text Book

  1. Use Pythagorean Theorem to Find Right Triangles Side Lengths

  2. Use Pythagorean Theorem to Find Isosceles Triangle Side Lengths

  3. Pythagorean Theorem Word Problems

  4. Pythagorean Theorem in 3D

  5. Pythagorean Theorem Challenge

  6. Special Right Triangles

Videos​​

  1. Pythagorean Theorem
    Pythagorean Theorem: Example
    Pythagorean Theorem: Irrational Side Length
    Pythagorean Theorem: Practice

  2. Pythagorean Theorem: Isosceles Triangles
    Pythagorean Theorem: Isosceles Triangle Example
    Pythagorean Theorem: Practice with Isosceles Triangles

  3. Pythagorean Theorem Word Problems
    Pythagorean Theorem Word Problems: Practice
    Pythagorean Theorem Word Problems: Challenge Problem

  4. Pythagorean Theorem in 3D
    Pythagorean Theorem in 3D: Practice

  5. Pythagorean Theorem: Advanced Word Problems
    Pythagorean Theorem (Advanced Word Problems): Example
    Pythagorean Theorem (Advanced Word Problems): Challenge Problem

  6. Special Right Triangles: 45-45-90 Right Triangles (1 of 2)
    Special Right Triangles: 45-45-90 Right Triangles (2 of 2)
    Special Right Triangles: 30-60-90 Right Triangles (1 of 2)
    Special Right Triangles: 30-60-90 Right Triangles (2 of 2)
    Special Right Triangles: Practice with 45-45-90 Right Triangles
    Special Right Triangles: Practice with 30-60-90 Right Triangles

Unit 5: Analytic Geometry

​Exercises

  1. Distance Between Two Points

  2. Midpoint Formula

  3. Area and Perimeter on the Coordinate Plane

  4. Parallel and Perpendicular Lines from Graph

  5. Parallel and Perpendicular Lines from Equation

  6. Writing Equations of Parallel and Perpendicular Lines

  7. Graph a Circle from its Features

  8. Features of a Circle from its Graph

  9. Features of a Circle from its Standard Equation

  10. Graph a Circle from its Standard Equation

  11. Write Standard Equation of a Circle

  12. Features of a Circle from its Expanded Equation

  13. Graph a Circle from its Expanded Equation

  14. Equation of a Parabola from Focus and Directrix

​Text Book

  1. Distance Between Two Points

  2. Midpoint Formula

  3. Area and Perimeter on the Coordinate Plane

  4. Parallel and Perpendicular Lines from Graph

  5. Parallel and Perpendicular Lines from Equation

  6. Writing Equations of Parallel and Perpendicular Lines

  7. Graph a Circle from its Features

  8. Features of a Circle from its Graph

  9. Features of a Circle from its Standard Equation

  10. Graph a Circle from its Standard Equation

  11. Write Standard Equation of a Circle

  12. Features of a Circle from its Expanded Equation

  13. Graph a Circle from its Expanded Equation

  14. Equation of a Parabola from Focus and Directrix

Videos​​​

  1. Distance Between Two Points
    Distance Between Two Points: Distance Formula
    Distance Between Two Points: Using the Distance Formula
    Distance Between Two Points: Distance Formula Challenge Problem

  2. Midpoint Formula
    Midpoint Formula Practice

  3. Area and Perimeter on the Coordinate Plane
    Area and Perimeter on the Coordinate Plane: Perimeter Practice
    Area and Perimeter on the Coordinate Plane: Area
    Area and Perimeter on the Coordinate Plane: Area Practice

  4. Parallel and Perpendicular Lines
    Parallel and Perpendicular Lines from Graphs
    Parallel and Perpendicular Lines from Graphs: Practice

  5. Parallel and Perpendicular Lines from Equations
    Parallel and Perpendicular Lines from Equations: Practice

  6. Writing Equations of Parallel and Perpendicular Lines
    Writing Equations of Parallel and Perpendicular Lines: Example
    Writing Equations of Parallel and Perpendicular Lines: Practice

  7. Graph Circles from their Features
    Graph Circles from their Features: Practice

  8. Features of a Circle from its Graph
    Features of a Circle from its Graph: Practice

  9. Standard Equation of a Circle
    Features of a Circle from its Standard Equation
    Features of a Circle from its Standard Equation: Practice

  10. Graph a Circle from its Standard Equation
    Graph a Circle from its Standard Equation: Practice

  11. Write the Standard Equation of a Circle
    Write the Standard Equation of a Circle: Practice

  12. Expanded Equation of a Circle
    Expanded Equation of a Circle: Practice

  13. Graph a Circle from its Expanded Equation
    Graph a Circle from its Expanded Equation: Practice

  14.  

Unit 6: Solid Geometry

​​Exercises

  1. Volume of Cylinders

  2. Volume of Spheres

  3. Volume of Cones

  4. Volume of Cylinders, Spheres, and Cones Word Problems

  5. Apply Cavalieri's Principal

  6. Volumes of Prisms and Pyramids

  7. Volume and Surface Area Word Problems

  8. Volume and Surface Area of Cylinders

  9. Density Word Problems

​​Text Book

  1. Volume of Cylinders

  2. Volume of Spheres

  3. Volume of Cones

  4. Volume of Cylinders, Spheres, and Cones Word Problems

  5. Apply Cavalieri's Principal

  6. Volumes of Prisms and Pyramids

  7. Volume and Surface Area Word Problems

  8. Volume and Surface Area of Cylinders

  9. Density Word Problems

Videos​​

  1. Volume of Cylinders
    Volume of Cylinders: Practice

  2. Volume of Spheres
    Volume of Spheres: Practice

  3. Volume of Cones
    Volume of Cones: Practice

  4. Volume of Cylinders Word Problems
    Volume of Spheres Word Problems
    Volume of Cones Word Problems

  5. ​

  6. ​

  7. ​

  8. ​

  9.  

Unit 7: Fractal Geometry

Algebra 2

Algebra 2

Videos​​

  1. The Fractal Geometry of Nature (1 of 2)

  2. The Fractal Geometry of Nature (2 of 2)

  3. Koch Snowflake

  4. Koch Snowflake: Perimeter

  5. Koch Snowflake Area: Intro (1 of 4)

  6. Koch Snowflake Area: Calculation (2 of 4)

  7. Koch Snowflake Area: Infinite Sum (3 of 4)

  8. Koch Snowflake Area: Formula (4 of 4)

  9. Fractal Dimension

  10. Fractal Dimension: Koch Snowflake

  11. Sierpinski Triangle

  12. Sierpinski Triangle: Fractal Dimension

  13. Sierpinski Triangle: Area

  14. Sierpinski Pyramid

  15. Sierpinski Pyramid: Fractal Dimension

  16. Sierpinski Carpet

  17. Sierpinski Carpet: Fractal Dimension

  18. Sierpinski Carpet: Area

  19. Menger Sponge

  20. Menger Sponge: Fractal Dimension

  21. Menger Sponge: Volume

MengerSponge.png
MandelbrotSet.jpg

Unit 1: Polynomial Arithmetic

​Exercises​

  1. Polynomials Intro

  2. Average Rate of Change of Polynomials

  3. Add Polynomials (Intro)

  4. Subtract Polynomials (Intro)

  5. Add and Subtract Polynomials

  6. Multiply Monomials

  7. Multiply Monomials by Polynomials

  8. Multiply Monomials by Polynomials: Area Model

  9. Multiply Binomials by Polynomials

  10. Multiply Binomials by Polynomials: Area Model

  11. Polynomial Special Products: Difference of Squares

  12. Polynomial Special Products: Perfect Squares

​Text Book​

  1. Polynomials Intro

  2. Average Rate of Change of Polynomials

  3. Add Polynomials (Intro)

  4. Subtract Polynomials (Intro)

  5. Add and Subtract Polynomials

  6. Multiply Monomials

  7. Multiply Monomials by Polynomials

  8. Multiply Monomials by Polynomials: Area Model

  9. Multiply Binomials by Polynomials

  10. Multiply Binomials: Area Mode

  11. Polynomial Special Products: Difference of Squares

  12. Polynomial Special Products: Perfect Squares

Videos​​​

  1. Polynomials: Intro 
    Polynomials Intro: Practice

  2. Average Rate of Change of Polynomials: Intro 
    Average Rate of Change of Polynomials: Practice
    Average Rate of Change of Polynomials: Challenge Problems

  3. Adding Polynomials

  4. Subtract Polynomials

  5. Add and Subtract Polynomials

  6. Multiply Monomials

  7. Multiply Monomials by Polynomials

  8. Multiply Monomials by Polynomials: Area Model
    Multiply Monomials by Polynomials (Area Model): Practice

  9. Multiply Binomials by Polynomials 

  10. Multiply Binomials by Polynomials: Area Model​

  11. Polynomial Special Products: Difference of Squares
    Polynomial Special Products (Difference of Squares): Practice

  12. Polynomial Special Products: Perfect Square
    Polynomial Special Products (Perfect Square): Practice

Unit 2: Complex Numbers

​Exercises​

  1. Simplify Roots of Negative Numbers

  2. Powers of the Imaginary Unit

  3. Parts of Complex Numbers

  4. Classify Complex Numbers

  5. Plot Numbers on the Complex Plane

  6. Add & Subtract Complex Numbers

  7. Multiply Complex Numbers (Basic)

  8. Multiply Complex Numbers

  9. Solve Quadratic Equations: Complex Solutions

​Text Book​

  1. Simplify Roots of Negative Numbers

  2. Powers of the Imaginary Unit

  3. Parts of Complex Numbers

  4. Classify Complex Numbers

  5. Plot Numbers on the Complex Plane

  6. Add & Subtract Complex Numbers

  7. Multiply Complex Numbers (Basic)

  8. Multiply Complex Numbers

  9. Solve Quadratic Equations: Complex Solutions

Videos​​

  1. Imaginary Numbers: Intro
    Imaginary Numbers: Examples
    Simplify Roots of Negative Numbers
    Simplify Roots of Negative Numbers: Practice

  2. Powers of the Imaginary Unit
    Powers of the Imaginary Unit: Geometric Interpretation
    Powers of the Imaginary Unit: Practice

  3. Complex Numbers: Intro

  4. Classify Complex Numbers
    Classify Complex Numbers: Practice

  5. Plot Numbers on the Complex Plane
    Plot Numbers on the Complex Plane: Practice

  6. Complex Numbers: Arithmetic
    Add and Subtract Complex Numbers
    Add and Subtract Complex Numbers: Geometric Interpretation
    Add and Subtract Complex Numbers: Practice

  7. Multiply Complex Numbers

  8. Multiply Complex Numbers: Practice

  9. Quadratic Equations with Complex Solutions: Intro
    Quadratic Equations with Complex Solutions: Practice

Unit 3: Polynomial Factorization

​Exercises​​

  1. Factor Monomials

  2. Greatest Common Factor of Monomials 

  3. Factor Polynomials: Common Factor 

  4. Factor Higher Degree Polynomials 

  5. Factorization with Substitution

  6. Factor Polynomials Using Structure

  7. Geometric Series Formula

  8. Finite Geometric Series Word Problems

​Text Book​

  1. Factor Monomial

  2. Greatest Common Factor of Monomials 

  3. Factor Polynomials: Common Factor

  4. Factor Higher Degree Polynomials 
    Factoring Techniques

  5. Factorization With Substitution

  6. Factor Polynomials Using Structure

  7. Geometric Series Formula

  8. Finite Geometric Series Word Problems

Videos​​

  1. Factor Monomials
    Factor Monomials: Practice

  2. Greatest Common Factor of Monomials: Intro
    Greatest Common Factor of Monomials: Practice

  3. Factor Polynomials with a Common Factor: intro
    Factor Polynomials with a Common Factor: Practice

  4. Factor Higher Degree Polynomials: Intro
    Factor Higher Degree Polynomials: Quadratics
    Factor Higher Degree Polynomials: Grouping Method

  5. Factorization with Substitution
    Factorization with Substitution: Perfect Square
    Factorization with Substitution: Difference of Squares
    Factor 4th Degree Polynomials with Substitution
    Factor 4th Degree Polynomials with Substitution: Practice

  6. Factor Polynomials Using Structure
    Factor Polynomials Using Structure: Practice

  7. Geometric Series: Intro
    Zeno's Paradox
    Geometric Series: Example of a Finite Sum
    Geometric Series: Formula for a Finite Sum
    Geometric Series Formula: Practice Problems
    Geometric Series Formula: Challenge Problem

  8. Finite Geometric Series Word Problems
    Finite Geometric Series Word Problems: Practice
    Finite Geometric Series Word Problems: Challenge Problem

Unit 4: Polynomial Division

​Exercises​

  1. Divide Polynomials by x (No Remainders) 

  2. Divide Polynomials by x (With Remainders) 

  3. Divide Quadratics by Linear Expressions (No Remainders) 

  4. Divide Quadratics by Linear Expressions (With Remainders) 

  5. Divide Polynomials by Linear Expressions 

  6. Factor Using Polynomial Division 

  7. Remainder Theorem

  8. Remainder Theorem and Factors

Text Book​

  1. Divide Polynomials by x (No Remainders) 

  2. Divide Polynomials by x (With Remainders) 

  3. Divide Quadratics by Linear Expressions (No Remainders) 

  4. Divide Quadratics by Linear Expressions (With Remainders) 

  5. Divide Polynomials by Linear Expressions 

  6.  Factor Using Polynomial Division (Advanced) 

  7. Remainder Theorem

  8. Remainder Theorem and Factors

Videos​​​

  1. Divide Polynomials by X (No Remainder)

  2. Divide Polynomials by X (With Remainder)

  3. Divide Quadratics by Linear Expressions (No Remainder): Intro
    Divide Quadratics by Linear Expressions (No Remainder): Practice

  4. Divide Quadratics by Linear Expressions (With Remainders)
    Divide Quadratics by Linear Expressions (With Remainders): Practice
    Divide Quadratics by Linear Expressions (With Remainders): More Practice

  5. Polynomial Long Division: Intro
    Polynomial Long Division: Example
    Polynomial Long Division: Practice

  6. Factor Using Polynomial Division: Intro
    Factor Using Polynomial Division: Missing Term
    Factor Using Polynomial Division: Practice

  7. ​

  8. ​

Unit 5: Polynomial Graphs

​Exercises​

  1. Zeros of Polynomials (Factored Form) 

  2. Zeros of Polynomials (With Factoring)

  3. Positive and Negative Intervals of Polynomials

  4. Zeros of Polynomials (Multiplicity)

  5. End Behavior of Polynomials

​Text Book​

  1. Zeros of Polynomials (Factored Form) 

  2. Zeros of Polynomials (With Factoring)

  3. Positive and Negative Intervals of Polynomials

  4. Zeros of Polynomials (Multiplicity)

  5. End Behavior of Polynomials

Videos​​

  1. Zeros of Polynomials in Factored Form: Intro
    Zeros of Polynomials in Factored Form: Practice

  2. Zeros of Polynomials with Factoring: Intro
    Zeros of Polynomials with Factoring: Practice
    Zeros of Polynomials with Factoring: Challenge Problems

  3. Positive and Negative Intervals of Polynomials
    Positive and Negative Intervals of Polynomials: Practice
    Positive and Negative Intervals of Polynomials: More Practice

  4. Zeros of Polynomials (Multiplicity): Intro
    Zeros of Polynomials (Multiplicity): Example
    Zeros of Polynomials (Multiplicity): Practice

  5. Parent Functions of Polynomials
    Parent Functions of Polynomials: Graphing Calculator
    End Behavior of Polynomials: Example
    End Behavior of Polynomials: Practice

Unit 6: Rational Exponents and Radicals

​Exercises​

  1. Unit Fraction Exponents

  2. Fractional Exponents

  3. Rational Exponents Challenge

  4. Properties of Exponents Intro (Rational Exponents)

  5. Properties of Exponents (Rational Exponents)

  6. Evaluate Radical Expressions Challenge

  7. Rewrite Exponential Expressions
     

  8. Equivalent Forms of Exponential Expressions


     

  9. ​Solve Exponential Equations Using Exponent Properties
     

  10. Solve Exponential Equations Using Exponent Properties (Advanced)

​Text Book​

  1. Unit Fraction Exponents

  2. Fractional Exponents

  3. Rational Exponents Challenge

  4. Properties of Exponents Intro (Rational Exponents)

  5. Properties of Exponents (Rational Exponents)

  6. Evaluate Radical Expressions Challenge

  7. Rewrite Exponential Expressions

     

  8. Equivalent Forms of Exponential Expressions


     

  9. Solve Exponential Equations Using Exponent Properties
     

  10. Solve Exponential Equations Using Exponent Properties (Advanced)

Videos​​​

  1. Unit Fraction Exponents

  2. Fractional Exponents

  3. Rational Exponents Challenge: Intro
    Rational Exponents Challenge: Practice

  4. Properties of Exponents (Rational Exponents): Intro
    Properties of Exponents (Rational Exponents): Practice

  5. Properties of Exponents (Rational Exponents): Challenge Problem
    Properties of Exponents (Rational Exponents): More Challenge Problems

  6. Evaluate Radical Expressions
    Evaluate Radical Expressions: Practice

  7. Rewrite Exponential Expressions
    Rewrite Exponential Expressions: Practice
    Rewrite Exponential Expressions: Challenge Problems

  8. Equivalent Forms of Exponential Expressions: Intro
    Equivalent Forms of Exponential Expressions: Practice
    Equivalent Forms of Exponential Expressions: Challenge Problem
    Equivalent Forms of Exponential Expressions: Strategy

  9. Solve Exponential Equations with Exponent Properties: Intro
    Solve Exponential Equations with Exponent Properties: Practice

  10. Solve Exponential Equations with Exponent Properties: Advanced Exercise
    Solve Exponential Equations with Exponent Properties: Challenge Problems

Unit 7: Logarithms

​Exercises​

  1. Evaluate Logarithms

  2. Evaluate Logarithms (Advanced)

  3. Relationship Between Exponentials and Logarithms

  4. Use the Properties of Logarithms

  5. Evaluate Logarithms: Change of Base Rule

  6. Use the Logarithm Chance of Base Rule

  7. Solve Exponential Equations Using Logarithms: Base-10 and Base-e

  8. Solve Exponential Equations Using Logarithms: Base-2 and Other Bases

  9. Exponential Model Word Problems

Text Book​

  1. Evaluate Logarithms

  2. Evaluate Logarithms (Advanced)

  3. Relationship Between Exponentials and Logarithms

  4. Use the Properties of Logarithms

  5. Evaluate Logarithms: Change of Base Rule

  6. Use the Logarithm Change of Base Rule

  7. Solve Exponential Equations Using Logarithms: Base-10 and Base-e

  8. Solve Exponential Equations Using Logarithms: Base-2 and Other Bases

  9. Exponential Model Word Problems​

Videos​​​

  1. Evaluate Logarithms: Intro

  2. Evaluate Logarithms: Advanced

  3. Relationship Between Exponentials and logarithms: Intro
    Relationship Between Exponentials and logarithms: Practice

  4. The Properties of Logarithms: Intro
    The Properties of Logarithms: Practice

  5. Logarithms: Change of Base Rule (Intro)
    Logarithms: Change of Base Rule (Practice)

  6. Logarithms: Using the Change of Base Rule

  7. Solve Exponential Equations with Logarithms: Intro
    ​Solve Exponential Equations with Logarithms: Base 10 and e

  8. ​Solve Exponential Equations with Logarithms: Base 2 and Other Bases

  9. Exponential Model Word Problems
    Exponential Model Word Problems: Practice
    Exponential Model Word Problems: Challenge Problem

Unit 8: Transformation of Functions

​Exercises​

  1. Shift Functions

  2. Reflect Functions

  3. Even and Odd Functions: Graphs and Tables

  4. Even and Odd Functions: Equations

  5. Scale Functions Vertically

  6. Scale Functions Horizontally

  7. Identify Function Transformations

  8. Graphs of Square and Cube Root Functions

  9. Graphs of Exponential Functions

  10. Graphs of Logarithmic Functions

​Text Book

  1. Shift Functions

  2. Reflect Functions

  3. Even and Odd Functions: Graphs and Tables

  4. Even and Odd Functions: Equations

  5. Scale Functions Vertically

  6. Scale Functions Horizontally

  7. Identify Function Transformations

  8. Graphs of Square and Cube Root Functions

  9. Graphs of Exponential Functions

  10. Graphs of Logarithmic Functions

Videos​​

  1. ​

  2. ​

  3. Even and Odd Functions: Intro

  4. Even and Odd Functions: Equations 1
    Even and Odd Functions: Equations 2

  5. ​

  6. ​

  7. ​

  8. Graphing Square Root Equations

  9. Graphing Exponential Functions 1
    Graphing Exponential Functions 2
    Graphing Exponential Functions 3

  10. Graphing Logarithmic Functions

Unit 9: Equations

​Exercises​

  1. Rational Equations Intro

  2. Rational Equations

  3. Finding Inverses of Rational Functions

  4. Square Root Equations Intro

  5. Square Root Equations

  6. Extraneous Solutions of Equations

  7. Quadratic Systems

Text Book​

  1. Rational Equations Intro

  2. Rational Equations

  3. Finding Inverses of Rational Functions

  4. Square Root Equations Intro

  5. Square Root Equations

  6. Extraneous Solutions of Equations

  7. Quadratic Systems

Videos​​​

  1. Rational Equations: Intro

  2. Rational Equations: Practice
    Rational Equations: Challenge Problems

  3. Finding Inverses of Rational Functions: Intro
    Finding Inverses of Rational Functions: Checking Answers
    Finding Inverses of Rational Functions: Strategy
    Finding Inverses of Rational Functions: Practice

  4. Square Root Equations: Intro
    Square Root Equations: Example

  5. Square Root Equations: Practice
    Square Root Equations: Challenge Problems

  6. ​

  7. ​

Unit 10: Modeling

​Exercises​​​

  1. Model with Function Combination

  2. Periodicity of Algebraic Models

  3. End Behavior of Algebraic Models

  4. Manipulate Formulas

  5. Graph Labels and Scales

  6. Equations and Inequalities Word Problems

  7. Modeling with Multiple Variables

  8. Interpreting Expressions with Multiple Variables

Text Book​

  1. Model with Function Combination

  2. Periodicity of Algebraic Models

  3. End Behavior of Algebraic Models

  4. Manipulate Formulas

  5. Graph Labels and Scales

  6. Equations and Inequalities Word Problems

  7. Modeling with Multiple Variables

  8. Interpreting Expressions with Multiple Variables

Videos​​​​

  1. ​

  2. ​

  3.  

  4. Manipulating Algebraic Formulas
    Manipulating Algebraic Formulas: Practice
    Manipulating Algebraic Formulas: Challenge Problem 1
    Manipulating Algebraic Formulas: Challenge Problem 2

  5. ​

  6. ​

  7. ​

  8. ​

Trigonometry

Trigonometry

Unit 1: Right Triangles and Trigonometry

​Exercises

  1. Trigonometric Ratios in Right Triangles

  2. Solve for a Side in Right Triangles

  3. Solve for an Angle in Right Triangles

  4. Right Triangle Trigonometry Word Problems

  5. Reciprocal Trig Ratios

Text Book

  1. Trigonometric Ratios in Right Triangles

  2. Solve for a Side in Right Triangles

  3. Solve for an Angle in Right Triangles

  4. Right Triangle Trigonometry Word Problems

  5. Reciprocal Trig Ratios

Videos​​

  1. Trigonometry: Intro

  2. Trigonometry: Solve for a Side in a Right Triangle

  3. Trigonometry: Finding Angles

  4. Right Triangle Trigonometry Word Problems: Intro
    Right Triangle Trigonometry Word Problems: Practice

  5. Reciprocal Trigonometric Ratios: Intro
    Reciprocal Trigonometric Ratios: Practice

Unit 2: Trigonometric Functions

​Exercises

  1. Unit Circle

  2. Radians & Degrees

  3. Unit Circle (With Radians)

  4. Use the Pythagorean Identity

  5. Trig Values of pi/6, pi/4, and pi/3

  6. Trig Identities from Reflections and Rotations

  7. Trig Values of Special Angles

  8. Midline of Sinusoidal Functions from Graph

  9. Amplitude of Sinusoidal Functions from Graph

  10. Period of Sinusoidal Functions from Graph

  11. Amplitude of Sinusoidal Functions from Equation

  12. Midline of Sinusoidal Functions from Equation

  13. Period of Sinusoidal Functions from Equation

  14. Graph Sinusoidal Functions

  15. Construct Sinusoidal Functions

  16. Graph Sinusoidal Functions: Phase Shift

  17. Modeling with Sinusoidal Functions

​Text Book

  1. Unit Circle

  2. Radians and Degrees

  3. Unit Circle (With Radians)

  4. Use the Pythagorean Identity

  5. Trig Values of pi/6, pi/4, and pi/3

  6. Trig Identities from Reflections and Rotations

  7. Trig Values of Special Angles

  8. Midline of Sinusoidal Functions from Graph

  9. Amplitude of Sinusoidal Functions from Graph

  10. Period of Sinusoidal Functions from Graph

  11. Amplitude of Sinusoidal Functions from Equation

  12. Midline of Sinusoidal Functions from Equation

  13. Period of Sinusoidal Functions from Equation

  14. Graph Sinusoidal Functions

  15. Construct Sinusoidal Functions

  16. Graph Sinusoidal Functions: Phase Shift

  17. Modeling with Sinusoidal Functions

Videos​​​​

  1. Define Trigonometric Functions: Unit Circle
    The Unit Circle 1
    The Unit Circle 2

  2. Radians and Degrees
    Radians and Degrees 2

  3. The Unit Circle: Radians
    The Unit Circle: Radians 2
    The Unit Circle: Radians 3

  4. Pythagorean Trigonometric Identities: Sine and Cosine
    Pythagorean Trigonometric Identities: Other Trigonometric Functions
    Use the Pythagorean Identity
    Use the Pythagorean Identity: Practice
    Use the Pythagorean Identity: Alternate Method

  5. Trigonometric Values of Special Angles: pi/6 and pi/3 radians (1 of 2)
    Trigonometric Values of Special Angles: pi/4 radians (2 of 2)

  6. Sine and Cosine Reflection Identities: Even and Odd Identities (1 of 2)
    Sine and Cosine Reflection Identities: Other Identities (2 of 2)
    Tangent Function Reflection Identities
    Sine and Cosine Periodicity Identities
    Tangent Function Periodicity Identity
    Trig Identities from Reflections and Rotations
    Trig Identities from Reflections and Rotations: Practice
    Trig Identities from Reflections and Rotations: Challenge Problem

  7. Trigonometric Values of Special Angles
    Graphing the Sine Function (1 of 2)
    Graphing the Sine Function (2 of 2)
    Graphing the Cosine Function (1 of 2)
    Graphing the Cosine Function (2 of 2)
    Graphing the Tangent Function (1 of 3)
    Graphing the Tangent Function (2 of 3)
    Graphing the Tangent Function (3 of 3)

  8. Features of Sinusoidal Functions
    Midline of Sinusoidal Functions from Graph
    Midline of Sinusoidal Functions from Graph: Practice

  9. Amplitude of Sinusoidal Functions from Graph
    Amplitude of Sinusoidal Functions from Graph: Practice

  10. Period of Sinusoidal Functions from Graph
    Period of Sinusoidal Functions from Graph: Practice

  11. Amplitude of Sinusoidal Functions from Equations
    Amplitude of Sinusoidal Functions from Equations: Practice

  12. Midline of Sinusoidal Functions from Equations
    Midline of Sinusoidal Functions from Equations: Practice

  13. Period of Sinusoidal Functions from Equations (1 of 2)
    Period of Sinusoidal Functions from Equation: Horizontal Stretching (2 of 2)
    Period of Sinusoidal Functions from Equations: Formula for the Period
    Period of Sinusoidal Functions from Equations: Example
    Period of Sinusoidal Functions from Equations: Practice
    Sinusoidal Functions from Equations
    Sinusoidal Functions from Equations: Using Desmos

  14. Graph Sinusoidal Functions
    Graph Sinusoidal Functions: Practice
    Graph Sinusoidal Functions: Challenge Problem

  15. Construct Sinusoidal Functions
    Construct Sinusoidal Functions: Example 
    Construct Sinusoidal Functions: Practice

  16. ​

  17. ​

Unit 3: Non Right Triangles and Trigonometry

​Exercises​​

  1. Solve Triangles Using the Law of Sines

  2. Solve Triangles Using the Law of Cosines

  3. General Triangle Word Problems

​Text Book​​

  1. Solve Triangles Using the Law of Sines

  2. Solve Triangles Using the Law of Cosines

  3. General Triangle Word Problems

Videos​​

  1.  

  2. ​

  3.  

Unit 4: Trigonometric Equations and Identities

​Exercises​​​

  1. Evaluate Inverse Trig Functions

  2. Solve Sinusoidal Equations (Basic)

  3. Solve Sinusoidal Equations

  4. Sinusoidal Models Word Problems

  5. Using the Trig Angle Addition Identities

  6. Find Trig Values Using Angle Addition Identities

​Text Book​​​

  1. Evaluate Inverse Trig Functions

  2. Solve Sinusoidal Equations (Basic)

  3. Solve Sinusoidal Equations

  4. Sinusoidal Models Word Problems

  5. Using the Trig Angle Addition Identities

  6. Find Trig Values Using Angle Addition Identities

Videos​​

  1.  

  2. ​

  3.  

PreCalculus

PreCalculus

Unit 1: Composite and Inverse Functions

​Exercises​

  1. Evaluate Composite Functions

  2. Evaluate Composite Functions: Graphs and Tables

  3. Find Composite Functions

  4. Model with Composite Functions

  5. Determine if a Function is Invertible

  6. Restrict Domains of a Function to Make Them Invertible

  7. Inverse Functions Graphs and Tables

  8. Verify Inverse Functions

Unit 2: Complex Numbers

Text Book​​

  1. Evaluate Composite Functions

  2. Evaluate Composite Functions: Graphs and Tables

  3. Find Composite Functions

  4. Model with Composite Functions

  5. Determine if a Function is Invertible

  6. Restrict Domains of a Function to Make Them Invertible

  7. Inverse Functions Graphs and Tables

  8. Verify Inverse Functions

Videos​​​

  1. Evaluate Composite Functions

  2. Evaluate Composite Functions: Graphs and Tables

  3. Find Composite Functions

  4. ​

  5. ​

  6. ​

  7. ​

  8. ​

​Exercises​

  1. Plot Numbers on the Complex Plane

  2. Graphically Add & Subtract Complex Numbers

  3. Distance of Complex Numbers

  4. Midpoint of Complex Numbers

  5. Complex Number Conjugates

  6. Divide Complex Numbers

  7. Factor Polynomials: Complex Numbers

  8. Modulus (Absolute Value) of Complex Numbers

  9. Angle of Complex Numbers

  10. Complex Numbers from Absolute Value and Angle

  11. Complex Plane and Polar Form

  12. Polar and Rectangular Forms of Complex Numbers

  13. Graphically Multiply Complex Numbers

  14. Multiply and Divide Complex Numbers in Polar Form

  15. Powers of Complex Numbers

Text Book​​

  1. Plot Numbers on the Complex Plane

  2. Graphically Add & Subtract Complex Numbers

  3. Distance of Complex Numbers

  4. Midpoint of Complex Numbers

  5. Complex Number Conjugates

  6. Divide Complex Number

  7. Factor Polynomials: Complex Numbers

  8. Modulus (Absolute Value) of Complex Numbers

  9. Angle of Complex Numbers

  10. Complex Numbers from Absolute Value and Angle

  11. Complex Plane and Polar Form

  12. Polar and Rectangular Forms of Complex Number

  13. Graphically Multiply Complex Number

  14. Multiply and Divide Complex Numbers in Polar For

  15. Powers of Complex Numbers

Videos​​​

  1. Plot Numbers on the Complex Plane
    Plot Numbers on the Complex Plane: Practice

  2. Add and Subtract Complex Numbers
    Add and Subtract Complex Numbers: Geometric Interpretation
    Graphically Add and Subtract Complex Numbers
    Graphically Add and Subtract Complex Numbers: Practice

  3. Distance Between Complex Numbers
    Distance Between Complex Numbers: Practice
    Distance Between Complex Numbers: Geometric Approach
    Distance Between Complex Numbers: Formula
    Distance Between Complex Numbers: Practice with the Formula

  4. Midpoint of Complex Numbers
    Midpoint of Complex Numbers: Practice

  5. Complex Number Conjugates
    Complex Number Conjugates: Practice

  6. Divide Complex Numbers: Intro
    Divide Complex Numbers: Practice

  7. Factor Polynomials with Complex Numbers: Sum of Squares
    Factor Polynomials with Complex Numbers: Practice with Sum of Squares
    Factor 4th Degree Polynomials with Substitution
    Factor 4th Degree Polynomials with Substitution: Practice
    Factor Polynomials with Complex Numbers
    Factor Polynomials with Complex Numbers: Practice
    Factor Polynomials with Complex Numbers: More Practice

  8. Modulus (Absolute Value) of Complex Numbers
    Modulus (Absolute Value) of Complex Numbers: Formula
    Modulus (Absolute Value) of Complex Numbers: Practice

  9. Angle of Complex Numbers
    Angle of Complex Numbers: Practice
    Angle of Complex Numbers: Formula
    Angle of Complex Numbers: Formula Practice

  10. Polar Form of Complex Numbers
    Complex Numbers from Absolute Value and Angle
    Complex Numbers from Absolute Value and Angle: Practice

  11. Complex Plane and Polar Form
    Complex Plane and Polar Form: Practice

  12. Polar and Rectangular Forms of Complex Numbers (1 of 2)
    Polar and Rectangular Forms of Complex Numbers (2 of 2)
    Polar and Rectangular Forms of Complex Numbers: Polar to Rectangular
    Polar and Rectangular Forms of Complex Numbers: Rectangular to Polar

  13. Graphically Multiply Complex Numbers
    Graphically Multiply Complex Numbers: Formula Practice
    Graphically Multiply Complex Numbers: Example Problem
    Graphically Multiply Complex Numbers: More Practice

  14. Graphically Divide Complex Numbers
    Graphically Divide Complex Numbers: Example
    Multiply and Divide Complex Numbers in Polar Form
    Multiply and Divide Complex Numbers in Polar Form: Practice
    Multiply and Divide Complex Numbers with Euler's Formula
    Multiply and Divide Complex Numbers with Euler's Formula: Examples

  15. Powers of Complex Numbers: De Moivre's Theorem
    Powers of Complex Numbers: Practice with De Moivre's Theorem
    Powers of Complex Numbers: Practice
    Powers of Complex Numbers: More Practice
    Powers of Complex Numbers: Deriving De Moivre's Theorem with Euler's Formula
    Roots of Unity: Polar Form (1 of 2)
    Roots of Unity: Polar Form (2 of 2)
    Roots of Unity: Euler's Formula
    Roots of Complex Numbers
    Roots of Complex Numbers: Practice
    Roots of Complex Numbers: More Practice
    Roots of Complex Numbers: Challenge Problem

Unit 3: Rational Functions

​Exercises

  1. Reduce Rational Expression to Lowest Terms: Error Analysis

  2. Reduce Rational Expression to Lowest Terms

  3. End Behavior of Rational Functions

  4. Rational Function Points of Discontinuity

  5. Graphs of Rational Functions

  6. Multiply & Divide Rational Expressions: Error Analysis

  7. Multiply & Divide Rational Expressions

  8. Add and Subtract Rational Expressions (basic)

  9. Add and Subtract Rational Expressions

​Text Book

  1. Reduce Rational Expression to Lowest Terms: Error Analysis

  2. Reduce Rational Expressions to Lowest Terms

  3. End Behavior of Rational Functions

  4. Rational Function Points of Discontinuity

  5. Graphs of Rational Functions

  6. Multiply & Divide Rational Expressions: Error Analysis

  7. Multiply & Divide Rational Expressions

  8. Add and Subtract Rational Expressions (basic)

  9. Add and Subtract Rational Expressions

Unit 4: Conic Sections

Videos​​

  1. Reduce Rational Expressions to Lowest Terms: Intro
    Reduce Rational Expressions to Lowest Terms: Error Analysis

  2. Reduce Rational Expressions to Lowest Terms: Practice

  3. ​

  4. Rational Functions Points of Discontinuity: Intro
    Rational Functions Points of Discontinuity: Example
    Rational Functions Points of Discontinuity: Factoring
    Rational Functions Points of Discontinuity: Challenge Problems

  5. Graphs of Rational Functions: Parent Functions (part 1)
    Graphs of Rational Functions: Parent Functions (part 2)
    Graphs of Rational Functions: Patterns in Parent Functions
    Graphs of Rational Functions: Patterns in Parent Functions (Graphing Calculator)

  6. Multiply and Divide Rational Expressions: Intro
    Multiply and Divide Rational Expressions: Error Analysis

  7. Multiply and Divide Rational Expressions: Practice

  8. Add and Subtract Rational Expressions: Intro
    Add and Subtract Rational Expressions: Example

  9. Add and Subtract Rational Expressions: Challenge Problems 

​Exercises​​

  1. Graphs and Features of Ellipses
  2. Center and Radii of Ellipses from Equation
  3. Ellipse Standard Equation and Graph
  4. Foci of an Ellipse from Radii
  5. Foci of an Ellipse from Equation
  6. Equation of and Ellipse from Features
  7. Vertices and Direction of a Hyperbola
  8. Foci of a Hyperbola from Equation
  9. Equation of a Hyperbola from Features

Text Book​​

  1. Graphs and Features of Ellipses

  2. Center and Radii of Ellipses from Equation

  3. Ellipse Standard Equation and Graph

  4. Foci of an Ellipse from Radii

  5. Foci of an Ellipse from Equation

  6. Equation of and Ellipse from Features

  7. Vertices and Direction of a Hyperbola

  8. Foci of a Hyperbola from Equation

  9. Equation of a Hyperbola from Features

Videos​​​

  1.  

  2.  

  3.  

  4.  

  5.  

  6.  

  7.  

  8.  

  9.  

Unit 5: Series

​Exercises​​

  1. Geometric Series Formula

  2. Finite Geometric Series Word problems

  3. Summation Notation

  4. Finite Geometric Series

  5. Expand Binomials

  6. Arithmetic Series

Text Book​​

  1. Geometric Series

  2. Finite Geometric Series Word problems

  3. Summation Notation

  4. Finite Geometric Series

  5. Expand Binomials

  6. Arithmetic Series

Videos​​​

  1. Geometric Series: Intro
    Zeno's Paradox
    Geometric Series: Example of an Infinite Sum
    Geometric Series: More Advanced Infinite Sum
    Geometric Series: Infinite Sum with a Negative Common Ratio
    Geometric Series: Example of a Finite Sum
    Geometric Series: Formula for a Finite Sum

  2. Finite Geometric Series Word Problems
    Finite Geometric Series Word Problems: Practice
    Finite Geometric Series Word Problems: Challenge Problem

  3. ​

  4. ​Geometric Series Formula: Practice Problems
    Geometric Series Formula: Challenge Problem
    Geometric Series: Formula for an Infinite Sum
    Geometric Series: Comparing the Formulas for Finite and Infinite Sums

  5.  

  6. Arithmetic Series: Intro
    Arithmetic Series: Adding the First 50 Numbers
    Arithmetic Series: Sum of the First 1000 Even Numbers
    Arithmetic Series: Formula for a Finite Sum
    Arithmetic Series: Formula for a Finite Sum Rewritten
    Arithmetic Series: Practice Problems
    Arithmetic Series: Challenge Problem (Summation Notation)

Unit 6: Probability and Combinatorics

​Exercises​

  1. Two Way Tables, Venn Diagrams, and Probability

  2. Probability with General Multiplication Rule

  3. Interpret Probabilities of Compound Events

  4. Permutations

  5. Combinations

  6. Probability with Permutations and Combinations

  7. Graph Probability Distributions

  8. Probability with Discrete Random Variables

  9. Develop Probability Distributions: Theoretical Probabilities

  10. Develop Probability Distributions: Empirical Probabilities

  11. Mean (Expected Value) of Discrete Random Variable

  12. Interpret Expected Value

  13. Find Expected Payoffs

Text Book​​

  1. Two Way Tables, Venn Diagrams, and Probability

  2. Probability with General Multiplication Rule

  3. Interpret Probabilities of Compound Events

  4. Permutations

  5. Combinations

  6. Probability with Permutations and Combinations

  7. Graph Probability Distributions

  8. Probability with Discrete Random Variables

  9. Develop Probability Distributions: Theoretical Probabilities

  10. Develop Probability Distributions: Empirical Probabilities

  11. Mean (Expected Value) of Discrete Random Variable

  12. Interpret Expected Value

  13. Find Expected Payoffs

Videos​​​

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  2. ​

  3. ​

  4. ​

  5. ​

  6. ​

  7. ​

  8. ​

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  10. ​

  11. ​

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All Videos

All Videos

​PreAlgebra

  1. Adding Fractions

  2. Multiplying Fractions 1

  3. Multiplying Fractions 2

  4. Dividing Fractions

  5. Simplifying Fractions

  6. Exponents

  7. Negative Exponents

  8. Adding and Subtracting Negative Numbers

  9. Multiplying Negative Numbers

  10. Dividing Negative Numbers

  11. The Coordinate Plane

  12. Adding Decimals

  13. Multiplying Decimals

  14. Dividing Decimals: Intro

  15. Dividing Decimals: Practice

  16. Converting Percents to Decimals

  17. Converting Percents to Fractions

  18. Converting Decimals to Percents

  19. Converting Fractions to Percents

  20. Finding Percents: Intro

  21. Finding Percents: Practice

  22. Order of Operations: Intro

  23. Order of Operations: Examples

  24. Scientific Notation

  25. Multiply Powers

  26. Divide Powers: Intro

  27. Divide Powers: Practice

  28. Powers of Powers

  29. Identify Prime Numbers: Intro

  30. Identify Prime Numbers: Practice

  31. Prime Factorization: Intro

  32. Prime Factorization: Practice

  33. One Step Equations: Addition and Subtraction

  34. One Step Equations: Addition and Subtraction with Fractions and Decimals

  35. One Step Equations: Multiplication and Division

  36. One Step Equations: Multiplication and Division with Fractions and Decimals

  37. Two Step Equations: Intro

  38. Two Step Equations: Practice

​Algebra 1

  1. Evaluating Expressions

  2. Evaluating Expressions: Multiple Variables

  3. Variable Expressions with Exponents

  4. Solve Equations from Visual Models: Intro

  5. Solve Equations from Visual Models: Practice

  6. Combining Like Terms 1

  7. Combining Like Terms 2

  8. Combining Like Terms: Rational Coefficients

  9. Equivalent Expressions

  10. Equations, Expressions, and Inequalities

  11. Equations with Variables on Both Sides: Intro

  12. Equations with Variables on Both Sides: Practice

  13. Equations with Variables on Both Sides: Fractions

  14. Equations with Parenthesis: Intro

  15. Equations with Parenthesis: Practice

  16. Equations with Parenthesis: Fractions

  17. Reasoning with Linear Equations

  18. Number of Solutions to Equations: Intro

  19. Number of Solutions to Equations: Practice

  20. Solving Linear Equations 1

  21. Solving Linear Equations 2

  22. Solving Linear Equations 3

  23. Solving Linear Equations 4

  24. Linear Equations with Unknown Coefficients 1

  25. Linear Equations with Unknown Coefficients 2

  26. Solving Linear Inequalities

  27. Using Inequalities to Solve Problems: Intro

  28. Using Inequalities to Solve Problems: Practice

  29. Compound Inequalities: Intro

  30. Compound Inequalities: Strategy

  31. Compound Inequalities: Practice

  32. Compound Inequalities: Challenge Problems

  33. Unit Rates: Intro

  34. Unit Rates: Practice

  35. Rate Conversion: Intro

  36. Rate Conversion: Practice

  37. Rate Conversion: Challenge Problems

  38. Formulas and Units: Intro

  39. Formulas and Units: Practice

  40. Using Units to Solve Problems: Intro

  41. Using Units to Solve Problems: Practice

  42. Equations of Lines: Intro

  43. Equations of Lines: Solutions

  44. Complete Solutions to 2 Variable Equations

  45. Equations of Lines: Slope Intercept Form 1

  46. Equations of Lines: Slope Intercept Form 2

  47. Graph from Slope Intercept Form: Intro

  48. Graph from Slope Intercept Form: Practice

  49. Slope from Graph

  50. Slope in a Table

  51. Equations of Lines: Graphing From Slope

  52. Equations of Lines: Slope From 2 Points

  53. Horizontal and Vertical Lines

  54. Equations of Lines: Intercepts

  55. Point Slope Form: Intro

  56. Equations of Lines: Standard Form

  57. Equations of Lines: Standard Form 2

  58. Slope from Equation

  59. Equations of Lines: Finding the Equation

  60. Equations of Lines: Finding the Equation 2

  61. Using Slope and Intercepts in Context

  62. Linear Equations Word Problems with Tables: Intro

  63. Linear Equations Word Problems with Tables: Practice

  64. Linear Equations Word Problems with Graphs: Intro

  65. Linear Equations Word Problems with Graphs: Practice

  66. Linear Equations Word Problems: Intro

  67. Linear Equations Word Problems: Practice

  68. Writing Linear Equations Word Problems: Intro

  69. Writing Linear Equations Word Problems: Strategy

  70. Writing Linear Equations Word Problems: Practice

  71. Writing Linear Equations Word Problems: Challenge Problems

  72. Systems of Equations: Solutions

  73. Systems of Equations with Graphing: Intro

  74. Systems of Equations with Graphing: Practice

  75. Systems of Equations with Graphing: Challenge Problems

  76. Creating Systems in Context: Intro

  77. Creating Systems in Context: Practice

  78. Creating Systems in Context: Challenge Problems

  79. Systems of Equations with Substitution: Intro

  80. Systems of Equations with Substitution: Practice

  81. Combining Equations

  82. Elimination Strategies

  83. Systems of Equations with Elimination

  84. Number of Solutions to a System of Equations: Graphs

  85. Number of Solutions to a System of Equations: Practice

  86. Number of Solutions to a System of Equations: Algebraic

  87. Age Word Problems: Intro

  88. Age Word Problems: Practice

  89. Age Word Problems: Challenge Problems

  90. Systems of Equations Word Problems: Intro

  91. Systems of Equations Word Problems: Practice

  92. Systems of Equations Word Problems: Strategy

  93. Systems of Equations Word Problems: Challenge Problem

  94. Solutions of Inequalities: Algebraic

  95. Solutions of Inequalities: Graphical

  96. Graphs of Inequalities

  97. Two Variable Inequalities from their Graphs

  98. Systems of Inequalities

  99. Evaluate Functions: Intro

  100. Evaluate Functions 2

  101. Evaluate Functions from Their Graph

  102. Evaluate Function Expressions

  103. Function Inputs and Outputs: Equation

  104. Function Inputs and Outputs: Graph

  105. Function Rules from Equations

  106. Function Notation Word Problems: Intro

  107. Function Notation Word Problems: Practice

  108. Function Notation Word Problems: Challenge Problems

  109. Domain and Range: Intro

  110. Domain and Range from Graph

  111. Identifying Values in the Domain

  112. Determine the Domain of Functions: Intro

  113. Determine the Domain of Functions: Practice

  114. Function Domain Word Problems: Intro

  115. Function Domain Word Problems: Practice

  116. Recognize Functions from Graphs

  117. Recognize Functions from Tables

  118. Relative Maxima and Minima

  119. Absolute Maxima and Minima

  120. Positive and Negative Intervals

  121. Increasing and Decreasing Intervals

  122. Inverse Functions: Intro

  123. Inverse Functions: Evaluation

  124. Finding Inverses of Linear Functions: Intro

  125. Finding Inverses of Linear Functions: Practice

  126. Evaluate Piecewise Functions

  127. Step Functions

  128. Step Function: Floor Function

  129. Step Function: Ceiling Function

  130. Piecewise Functions: Graphs

  131. Shift Absolute Value Graphs: Intro

  132. Shift Absolute Value Functions: Practice

  133. Scale and Reflect Absolute Value Functions: Intro

  134. Scale and Reflect Absolute Value Functions: Practice

  135. Multiply and Divide Powers

  136. Powers of Products and Quotients

  137. Properties of Exponents (Integer Exponents): Intro

  138. Properties of Exponents (Integer Exponents): Practice

  139. Square Roots

  140. Roots of Decimals and Fractions

  141. Roots of Decimals and Fractions: Practice

  142. Cube Roots

  143. Simplify Square Roots: Intro

  144. Simplify Square Roots: Examples

  145. Simplify Square Roots (Variables): Intro

  146. Simplify Square Roots (Variables): Practice​

  147. Simplify Square Root Expressions: Intro

  148. Simplify Square Root Expressions: Practice

  149. Exponential Vs Linear Equations 1

  150. Exponential Vs Linear Equations 2

  151. Exponential Expressions Word Problems (Numerical)

  152. Exponential Expressions Word Problems (Numerical): Practice

  153. Exponential Expressions Word Problems (Algebraic)

  154. Exponential Expressions Word Problems (Algebraic): Practice

  155. Exponential Expressions Word Problems (Algebraic): Challenge Problem

  156. Interpret Exponential Expression Word Problems

  157. Interpret Exponential Expression Word Problems: Practice

  158. Graphs of Exponential Growth

  159. Graphs of Exponential Growth: Practice

  160. Exponential Growth vs Decay: Intro

  161. Exponential Growth vs Decay: Practice

  162. Graphing Exponential Growth and Decay

  163. Graphing Exponential Growth and Decay: Practice

  164. Writing Functions with Exponential Decay

  165. Writing Functions with Exponential Decay: Practice

  166. Writing Functions with Exponential Decay: Challenge Problem

  167. Exponential Functions from Graphs

  168. Exponential Functions from Tables

  169. Arithmetic and Geometric Sequences

  170. Extend Arithmetic Sequences

  171. Arithmetic Sequences Formulas

  172. Arithmetic Sequences Formulas: Examples

  173. Recursive Formulas for Arithmetic Sequences

  174. Recursive Formulas for Arithmetic Sequences: Practice

  175. Explicit Formulas for Arithmetic Sequences

  176. Explicit Formulas for Arithmetic Sequences: Challenge Problems

  177. Converting Recursive and Explicit Forms of Arithmetic Sequences

  178. Converting Recursive and Explicit Forms of Arithmetic Sequences: Challenge Problem

  179. Extend Geometric Sequences

  180. Extend Geometric Sequences: Negatives and Fractions

  181. Extend Geometric Sequences: Challenge Problems

  182. Geometric Sequence Formulas

  183. Geometric Sequence Formulas: Practice

  184. Recursive Formulas for Geometric Sequences

  185. Recursive Formulas for Geometric Sequences: Practice

  186. Explicit Formulas for Geometric Sequences

  187. Explicit Formulas for Geometric Sequences: Example

  188. Explicit Formulas for Geometric Sequences: Challenge Problems

  189. Converting Recursive and Explicit Forms for Geometric Sequences

  190. Converting Recursive and Explicit Forms for Geometric Sequences: Challenge Problem

  191. Sequence Word Problems: Arithmetic Sequences

  192. Sequence Word Problems: Geometric Sequences

  193. Evaluate Sequences in Recursive Form

  194. Evaluate Sequences in Recursive Form: Practice

  195. Sequences and Domain

  196. Sequences and Domain: Practice

  197. Multiplying Binomials

  198. Multiplying Binomials 2

  199. Multiply Binomials: Area Model

  200. Multiplying Binomial: Special Products

  201. Factoring: Intro

  202. Factoring Quadratics

  203. Factoring Quadratics with a Common Factor: Intro

  204. Factoring Quadratics with a Common Factor: Practice

  205. Factoring Quadratic by Grouping: Intro

  206. Factoring Quadratic by Grouping: Example

  207. Factoring Quadratic by Grouping: Practice

  208. Difference of Squares: Intro

  209. Difference of Squares: Practice

  210. Factoring Perfect Squares: Intro

  211. Factoring Perfect Squares: Practice

  212. Parabolas: Intro

  213. Interpret Parabolas in Context

  214. Interpret a Quadratic Graph: Intro

  215. Interpret a Quadratic Graph: Practice

  216. Zero Product Property

  217. Graph Quadratics in Factored Form: Intro

  218. Graph Quadratics in Factored Form: Practice

  219. Quadratic Word Problems in Factored Form: Intro

  220. Quadratic Word Problems in Factored Form: Practice

  221. Quadratic Word Problems in Factored Form: Challenge Problems

  222. Parabolas: Graphing 1

  223. Parabolas: Graphing 2

  224. Solving Quadratics by Taking Square Roots: Intro

  225. Solving Quadratics by Taking Square Roots: Practice

  226. Solving Quadratics by Taking Square Roots: Challenge Problems

  227. Quadratic Word Problems in Vertex Form: Intro

  228. Quadratic Word Problems in Vertex Form: Practice

  229. Graph Quadratics in Vertex Form: Intro

  230. Graph Quadratics in Vertex Form: Practice

  231. Quadratics by Factoring: Intro

  232. Quadratics by Factoring: Practice

  233. Quadratics by Factoring: Challenge Problems

  234. The Quadratic Formula 1

  235. The Quadratic Formula 2

  236. Number of Solutions of Quadratic Equations: Intro

  237. Number of Solutions of Quadratic Equations: Practice

  238. Completing the Square

  239. Completing the Square: Intro Problems

  240. Completing the Square: Intermediate Problems

  241. Solve Equations by Completing the Square

  242. Solve Equations by Completing the Square: Practice

  243. Graph Quadratics in Standard Form

  244. Graph Quadratics in Standard Form: Practice

  245. Graph Quadratics in Standard Form: More Practice

  246. Graph Quadratics in Standard Form: Strategy

  247. Features of Quadratic Functions: Strategy

  248. Compare Quadratic Functions

  249. Shift Parabolas: Intro

  250. Shift Parabolas: Practice

  251. Scale and Reflect Parabolas: Intro

  252. Scale and Reflect Parabolas: Practice

  253. Classify Numbers: Rational and Irrational

  254. Classify Numbers (Rational and Irrational): Decimals

  255. Classify Numbers (Rational and Irrational): Repeating Decimals

  256. Classify Numbers (Rational and Irrational): Challenge Problems

Geometry​

  1. Classify Triangles by Side Length and Angle Measure

  2. Classify Triangles by Side Length and Angle Measure: Practice

  3. Identify and Classify Quadrilaterals

  4. Identify and Classify Quadrilaterals: Practice

  5. Area of Rectangles

  6. Area of Rectangles: Finding a Formula

  7. Area of Rectangles: Practice

  8. Finding the Perimeter

  9. Finding the Perimeter: Practice

  10. Area of Parallelograms

  11. Area of Parallelograms: Practice

  12. Area of Triangles

  13. Area of Triangles: Formula

  14. Area of Triangles: Practice

  15. Area of a Triangle: Missing Side Length

  16. Area of a Triangle: Missing Side Length (Practice)

  17. Area of Composite Shapes

  18. Area of Composite Shapes: Decompose Into Triangles

  19. Area of Composite Shapes: Practice

  20. Area of Composite Shapes: Trapezoids

  21. Formula for the Area of a Trapezoid

  22. Formula for the Area of a Trapezoid: Alternate Derivation

  23. Circumference of a Circle

  24. Circumference of a Circle: Practice

  25. Area of a Circle

  26. Area of a Circle: Practice

  27. Identify Geometric Solids: Prisms

  28. Identify Geometric Solids: Cylinders, Cones, and Pyramids

  29. Volume of Rectangular Prisms

  30. Volume of Rectangular Prisms: Cubes

  31. Volume of Rectangular Prisms: Practice

  32. Volume Word Problems

  33. Volume Word Problems: Practice

  34. Surface Area: Rectangular Prisms

  35. Surface Area: Cube

  36. Surface Area: Square Pyramid

  37. Surface Area: Equilateral Triangular Prism

  38. Surface Area: General Triangular Prism

  39. Naming Angles in Geometric Figures

  40. Supplementary, Complementary, and Vertical Angles

  41. Supplementary, Complementary, and Vertical Angles: Practice

  42. Complementary and Supplementary Angles: Finding Missing Angles

  43. Complementary and Supplementary Angles: Practice Finding a Missing Angle

  44. Finding Angle Measures Between Intersecting Lines

  45. Finding Angle Measures Between Intersecting Lines: Practice

  46. Angle Relationships with Parallel Lines

  47. Angle Relationships with Parallel Lines: Practice

  48. Find Angles in Triangles

  49. Find Angles in Triangles: Practice

  50. Find Angles in Isosceles Triangles

  51. Find Angles in Isosceles Triangles: Practice

  52. Finding Angles Measures Using Triangles

  53. Finding Angles Measures Using Triangles: Practice

  54. Finding Unknown Angles with Algebra

  55. Finding Unknown Angles (with Algebra): Practice

  56. Angle Addition with Equations

  57. Angle Addition with Equations: Practice

  58. Finding Missing Angles in Parallel Lines (with Equations)

  59. Finding Missing Angles in Parallel Lines (with Equations): Practice

  60. Congruent Triangles

  61. Congruent Triangles: Side Side Side Postulate (SSS)

  62. Congruent Triangles: Side Angle Side Postulate (SAS)

  63. Congruent Triangles: Angle Side Angle Postulate (ASA)

  64. Congruent Triangles: Angle Angle Side Theorem (AAS)

  65. Congruent Triangles: Hypotenuse Leg Theorem (HL)

  66. Determine Congruent Triangles

  67. Determine Congruent Triangles: Practice

  68. Determine Congruent Triangles: Challenge Problems

  69. Find Angles in Congruent Triangles

  70. Find Angles in Congruent Triangles: Practice

  71. Similar Triangles

  72. Determine Similar Triangles: Angles

  73. Determine Similar Triangles (Angles): Practice

  74. Determine Similar Triangles: Side Lengths

  75. Determine Similar Triangles by Side Lengths: Practice

  76. Solve Similar Triangles

  77. Solve Similar Triangles: Practice

  78. Solve Similar Triangles (Advanced)

  79. Solve Similar Triangles (Advanced): Practice

  80. Solve Similar Triangles (Advanced): More Practice

  81. Use Similar Triangles

  82. Use Similar Triangles: Practice

  83. Use Similar Triangles: Challenge Problem

  84. Pythagorean Theorem

  85. Pythagorean Theorem: Example

  86. Pythagorean Theorem: Irrational Side Length

  87. Pythagorean Theorem: Practice

  88. Pythagorean Theorem: Isosceles Triangles

  89. Pythagorean Theorem: Isosceles Triangle Example

  90. Pythagorean Theorem: Practice with Isosceles Triangles

  91. Pythagorean Theorem Word Problems

  92. Pythagorean Theorem Word Problems: Practice

  93. Pythagorean Theorem Word Problems: Challenge Problem

  94. Pythagorean Theorem in 3D

  95. Pythagorean Theorem in 3D: Practice

  96. Pythagorean Theorem: Advanced Word Problems

  97. Pythagorean Theorem (Advanced Word Problems): Example

  98. Pythagorean Theorem (Advanced Word Problems): Challenge Problem

  99. Special Right Triangles: 45-45-90 Right Triangles (1 of 2)

  100. Special Right Triangles: 45-45-90 Right Triangles (2 of 2)

  101. Special Right Triangles: 30-60-90 Right Triangles (1 of 2)

  102. Special Right Triangles: 30-60-90 Right Triangles (2 of 2)

  103. Special Right Triangles: Practice with 45-45-90 Right Triangles

  104. Special Right Triangles: Practice with 30-60-90 Right Triangles

  105. Distance Between Two Points

  106. Distance Between Two Points: Distance Formula

  107. Distance Between Two Points: Using the Distance Formula

  108. Distance Between Two Points: Distance Formula Challenge Problem

  109. Midpoint Formula

  110. Midpoint Formula Practice

  111. Area and Perimeter on the Coordinate Plane

  112. Area and Perimeter on the Coordinate Plane: Perimeter Practice

  113. Area and Perimeter on the Coordinate Plane: Area

  114. Area and Perimeter on the Coordinate Plane: Area Practice

  115. Parallel and Perpendicular Lines

  116. Parallel and Perpendicular Lines from Graphs

  117. Parallel and Perpendicular Lines from Graphs: Practice

  118. Parallel and Perpendicular Lines from Equations

  119. Parallel and Perpendicular Lines from Equations: Practice

  120. Writing Equations of Parallel and Perpendicular Lines

  121. Writing Equations of Parallel and Perpendicular Lines: Example

  122. Writing Equations of Parallel and Perpendicular Lines: Practice

  123. Graph Circles from their Features

  124. Graph Circles from their Features: Practice

  125. Features of a Circle from its Graph

  126. Features of a Circle from its Graph: Practice

  127. Standard Equation of a Circle

  128. Features of a Circle from its Standard Equation

  129. Features of a Circle from its Standard Equation: Practice

  130. Graph a Circle from its Standard Equation

  131. Graph a Circle from its Standard Equation: Practice

  132. Write the Standard Equation of a Circle

  133. Write the Standard Equation of a Circle: Practice

  134. Expanded Equation of a Circle

  135. Expanded Equation of a Circle: Practice

  136. Graph a Circle from its Expanded Equation

  137. Graph a Circle from its Expanded Equation: Practice

  138. Volume of Cylinders

  139. Volume of Cylinders: Practice

  140. Volume of Spheres

  141. Volume of Spheres: Practice

  142. Volume of Cones

  143. Volume of Cones: Practice

  144. Volume of Cylinders Word Problems

  145. Volume of Spheres Word Problems

  146. Volume of Cones Word Problems

  147. The Fractal Geometry of Nature (1 of 2)

  148. The Fractal Geometry of Nature (2 of 2)

  149. Koch Snowflake

  150. Koch Snowflake: Perimeter

  151. Koch Snowflake Area: Intro (1 of 4)

  152. Koch Snowflake Area: Calculation (2 of 4)

  153. Koch Snowflake Area: Infinite Sum (3 of 4)

  154. Koch Snowflake Area: Formula (4 of 4)

  155. Fractal Dimension

  156. Fractal Dimension: Koch Snowflake

  157. Sierpinski Triangle

  158. Sierpinski Triangle: Fractal Dimension

  159. Sierpinski Triangle: Area

  160. Sierpinski Pyramid

  161. Sierpinski Pyramid: Fractal Dimension

  162. Sierpinski Carpet

  163. Sierpinski Carpet: Fractal Dimension

  164. Sierpinski Carpet: Area

  165. Menger Sponge

  166. Menger Sponge: Fractal Dimension

  167. Menger Sponge: Volume

Algebra 2​​

  1. Polynomials: Intro

  2. Polynomials Intro: Practice

  3. Average Rate of Change of Polynomials: Intro

  4. Average Rate of Change of Polynomials: Practice

  5. Average Rate of Change of Polynomials: Challenge Problems

  6. Average Rate of Change: Graphs

  7. Average Rate of Change: Tables

  8. Average Rate of Change Word Problems: Intro

  9. Adding Polynomials

  10. Subtract Polynomials

  11. Add and Subtract Polynomials

  12. Multiply Monomials

  13. Multiply Monomials by Polynomials

  14. Multiply Monomials by Polynomials: Area Model

  15. Multiply Monomials by Polynomials (Area Model): Practice

  16. Multiply Binomials by Polynomials

  17. Multiply Binomials by Polynomials: Area Model

  18. Polynomial Special Products: Difference of Squares

  19. Polynomial Special Products (Difference of Squares): Practice

  20. Polynomial Special Products: Perfect Square

  21. Polynomial Special Products (Perfect Square): Practice

  22. Imaginary Numbers: Intro

  23. Imaginary Numbers: Examples

  24. Simplify Roots of Negative Numbers

  25. Simplify Roots of Negative Numbers: Practice

  26. Powers of the Imaginary Unit

  27. Powers of the Imaginary Unit: Geometric Interpretation

  28. Powers of the Imaginary Unit: Practice

  29. Complex Numbers: Intro

  30. Classify Complex Numbers

  31. Classify Complex Numbers: Practice

  32. Plot Numbers on the Complex Plane

  33. Plot Numbers on the Complex Plane: Practice

  34. Complex Numbers: Arithmetic

  35. Add and Subtract Complex Numbers

  36. Add and Subtract Complex Numbers: Geometric Interpretation

  37. Add and Subtract Complex Numbers: Practice

  38. Multiply Complex Numbers

  39. Multiply Complex Numbers: Practice

  40. Quadratic Equations with Complex Solutions: Intro

  41. Quadratic Equations with Complex Solutions: Practice

  42. Factor Monomials

  43. Factor Monomials: Practice

  44. Greatest Common Factor of Monomials: Intro

  45. Greatest Common Factor of Monomials: Practice

  46. Factor Polynomials with a Common Factor: intro

  47. Factor Polynomials with a Common Factor: Practice

  48. Factor Higher Degree Polynomials: Intro

  49. Factor Higher Degree Polynomials: Quadratics

  50. Factor Higher Degree Polynomials: Grouping Method

  51. Factorization with Substitution

  52. Factorization with Substitution: Perfect Square

  53. Factorization with Substitution: Difference of Squares

  54. Factor Polynomials Using Structure

  55. Factor Polynomials Using Structure: Practice

  56. Divide Polynomials by X (No Remainder)

  57. Divide Polynomials by X (With Remainder)

  58. Divide Quadratics by Linear Expressions (No Remainder): Intro

  59. Divide Quadratics by Linear Expressions (No Remainder): Practice 

  60. Divide Quadratics by Linear Expressions (With Remainders)

  61. Divide Quadratics by Linear Expressions (With Remainders): Practice

  62. Divide Quadratics by Linear Expressions (With Remainders): More Practice

  63. Polynomial Long Division: Intro

  64. Polynomial Long Division: Example

  65. Polynomial Long Division: Practice

  66. Factor Using Polynomial Division: Intro

  67. Factor Using Polynomial Division: Missing Term

  68. Factor Using Polynomial Division: Practice

  69. Zeros of Polynomials in Factored Form: Intro

  70. Zeros of Polynomials in Factored Form: Practice

  71. Zeros of Polynomials with Factoring: Intro

  72. Zeros of Polynomials with Factoring: Practice

  73. Zeros of Polynomials with Factoring: Challenge Problems

  74. Positive and Negative Intervals of Polynomials

  75. Positive and Negative Intervals of Polynomials: Practice

  76. Positive and Negative Intervals of Polynomials: More Practice

  77. Zeros of Polynomials (Multiplicity): Intro

  78. Zeros of Polynomials (Multiplicity): Example

  79. Zeros of Polynomials (Multiplicity): Practice

  80. Parent Functions of Polynomials

  81. Parent Functions of Polynomials: Graphing Calculator

  82. End Behavior of Polynomials: Example

  83. End Behavior of Polynomials: Practice

  84. Unit Fraction Exponents

  85. Fractional Exponents

  86. Rational Exponents Challenge: Intro

  87. Rational Exponents Challenge: Practice

  88. Properties of Exponents (Rational Exponents): Intro

  89. Properties of Exponents (Rational Exponents): Practice

  90. Properties of Exponents (Rational Exponents): Challenge Problem

  91. Properties of Exponents (Rational Exponents): More Challenge Problems

  92. Evaluate Radical Expressions

  93. Evaluate Radical Expressions: Practice

  94. Rewrite Exponential Expressions

  95. Rewrite Exponential Expressions: Practice

  96. Rewrite Exponential Expressions: Challenge Problems

  97. Equivalent Forms of Exponential Expressions: Intro

  98. Equivalent Forms of Exponential Expressions: Practice

  99. Equivalent Forms of Exponential Expressions: Challenge Problem

  100. Equivalent Forms of Exponential Expressions: Strategy

  101. Solve Exponential Equations with Exponent Properties: Intro

  102. Solve Exponential Equations with Exponent Properties: Practice

  103. Solve Exponential Equations with Exponent Properties: Advanced Exercise

  104. Solve Exponential Equations with Exponent Properties: Challenge Problems

  105. Graphing Exponential Functions 1

  106. Graphing Exponential Functions 2

  107. Graphing Exponential Functions 3

  108. Evaluate Logarithms: Intro

  109. Evaluate Logarithms: Advanced

  110. Relationship Between Exponentials and logarithms: Intro

  111. Relationship Between Exponentials and logarithms: Practice

  112. The Properties of Logarithms: Intro

  113. The Properties of Logarithms: Practice

  114. Logarithms: Change of Base Rule (Intro)

  115. Logarithms: Change of Base Rule (Practice)

  116. Logarithms: Using the Change of Base Rule

  117. Solve Exponential Equations with Logarithms: Intro

  118. ​Solve Exponential Equations with Logarithms: Base 10 and e

  119. ​Solve Exponential Equations with Logarithms: Base 2 and Other Bases

  120. Exponential Model Word Problems

  121. Exponential Model Word Problems: Practice

  122. Exponential Model Word Problems: Challenge Problem

  123. Compound Interest Formula

  124. Graphing Logarithmic Functions

  125. Even and Odd Functions: Intro

  126. Even and Odd Functions: Equations 1

  127. Even and Odd Functions: Equations 2

  128. Rational Equations: Intro

  129. Rational Equations: Practice

  130. Rational Equations: Challenge Problems

  131. Finding Inverses of Rational Functions: Intro

  132. Finding Inverses of Rational Functions: Checking Answers

  133. Finding Inverses of Rational Functions: Strategy

  134. Finding Inverses of Rational Functions: Practice

  135. Square Root Equations: Intro

  136. Square Root Equations: Example

  137. Square Root Equations: Practice

  138. Square Root Equations: Challenge Problems

  139. Extraneous Solutions to Radical Equations: Intro

  140. Extraneous Solutions to Radical Equations: Example

  141. Extraneous Solutions to Radical Equations: Practice

  142. Extraneous Solutions to Radical Equations: Challenge Problem

  143. Graphing Square Root Equations

  144. Manipulating Algebraic Formulas

  145. Manipulating Algebraic Formulas: Practice

  146. Manipulating Algebraic Formulas: Challenge Problem 1

  147. Manipulating Algebraic Formulas: Challenge Problem 2

Trigonometry​

  1. Trigonometry: Intro

  2. Trigonometry: Finding Angles

  3. Trigonometry: Solve for a Side in a Right Triangle

  4. Right Triangle Trigonometry Word Problems: Intro

  5. Right Triangle Trigonometry Word Problems: Practice

  6. Reciprocal Trigonometric Ratios: Intro

  7. Reciprocal Trigonometric Ratios: Practice

  8. Define Trigonometric Functions: Unit Circle

  9. The Unit Circle 1

  10. The Unit Circle 2

  11. Radians and Degrees

  12. Radians and Degrees 2

  13. The Unit Circle: Radians

  14. The Unit Circle: Radians 2

  15. The Unit Circle: Radians 3

  16. Pythagorean Trigonometric Identities: Sine and Cosine

  17. Pythagorean Trigonometric Identities: Other Trigonometric Functions

  18. Use the Pythagorean Identity

  19. Use the Pythagorean Identity: Practice

  20. Use the Pythagorean Identity: Alternate Method

  21. Trigonometric Values of Special Angles: pi/6 and pi/3 radians (1 of 2)

  22. Trigonometric Values of Special Angles: pi/4 radians (2 of 2)

  23. Sine and Cosine Reflection Identities: Even and Odd Identities (1 of 2)

  24. Sine and Cosine Reflection Identities: Other Identities (2 of 2)

  25. Tangent Function Reflection Identities

  26. Sine and Cosine Periodicity Identities

  27. Tangent Function Periodicity Identity

  28. Trig Identities from Reflections and Rotations

  29. Trig Identities from Reflections and Rotations: Practice

  30. Trig Identities from Reflections and Rotations: Challenge Problem

  31. Trigonometric Values of Special Angles

  32. Graphing the Sine Function (1 of 2)

  33. Graphing the Sine Function (2 of 2)

  34. Graphing the Cosine Function (1 of 2)

  35. Graphing the Cosine Function (2 of 2)

  36. Graphing the Tangent Function (1 of 3)

  37. Graphing the Tangent Function (2 of 3)

  38. Graphing the Tangent Function (3 of 3)

  39. Features of Sinusoidal Functions

  40. Midline of Sinusoidal Functions from Graph

  41. Midline of Sinusoidal Functions from Graph: Practice

  42. Amplitude of Sinusoidal Functions from Graph

  43. Amplitude of Sinusoidal Functions from Graph: Practice

  44. Period of Sinusoidal Functions from Graph

  45. Period of Sinusoidal Functions from Graph: Practice

  46. Amplitude of Sinusoidal Functions from Equations

  47. Amplitude of Sinusoidal Functions from Equations: Practice

  48. Midline of Sinusoidal Functions from Equations

  49. Midline of Sinusoidal Functions from Equations: Practice

  50. Period of Sinusoidal Functions from Equations (1 of 2)

  51. Period of Sinusoidal Functions from Equation: Horizontal Stretching (2 of 2)

  52. Period of Sinusoidal Functions from Equations: Formula for the Period

  53. Sinusoidal Functions from Equations

  54. Sinusoidal Functions from Equations: Using Desmos

  55. Period of Sinusoidal Functions from Equations: Example

  56. Period of Sinusoidal Functions from Equations: Practice

  57. Graph Sinusoidal Functions

  58. Graph Sinusoidal Functions: Practice

  59. Graph Sinusoidal Functions: Challenge Problem

  60. Construct Sinusoidal Functions

  61. Construct Sinusoidal Functions: Example 

  62. Construct Sinusoidal Functions: Practice

PreCalculus​

  1. Evaluate Composite Functions

  2. Evaluate Composite Functions: Graphs and Tables

  3. Find Composite Functions

  4. Graphically Add and Subtract Complex Numbers

  5. Graphically Add and Subtract Complex Numbers: Practice

  6. Distance Between Complex Numbers

  7. Distance Between Complex Numbers: Practice

  8. Distance Between Complex Numbers: Geometric Approach

  9. Distance Between Complex Numbers: Formula

  10. Distance Between Complex Numbers: Practice with the Formula

  11. Midpoint of Complex Numbers

  12. Midpoint of Complex Numbers: Practice

  13. Complex Number Conjugates

  14. Complex Number Conjugates: Practice

  15. Divide Complex Numbers: Intro

  16. Divide Complex Numbers: Practice

  17. Factor Polynomials with Complex Numbers: Sum of Squares

  18. Factor Polynomials with Complex Numbers: Practice with Sum of Squares

  19. Factor 4th Degree Polynomials with Substitution

  20. Factor 4th Degree Polynomials with Substitution: Practice

  21. Factor Polynomials with Complex Numbers

  22. Factor Polynomials with Complex Numbers: Practice

  23. Factor Polynomials with Complex Numbers: More Practice

  24. Modulus (Absolute Value) of Complex Numbers

  25. Modulus (Absolute Value) of Complex Numbers: Formula

  26. Modulus (Absolute Value) of Complex Numbers: Practice

  27. Angle of Complex Numbers

  28. Angle of Complex Numbers: Practice

  29. Angle of Complex Numbers: Formula

  30. Angle of Complex Numbers: Formula Practice

  31. Polar Form of Complex Numbers

  32. Complex Numbers from Absolute Value and Angle

  33. Complex Numbers from Absolute Value and Angle: Practice

  34. Complex Plane and Polar Form

  35. Complex Plane and Polar Form: Practice

  36. Polar and Rectangular Forms of Complex Numbers (1 of 2)

  37. Polar and Rectangular Forms of Complex Numbers (2 of 2)

  38. Polar and Rectangular Forms of Complex Numbers: Polar to Rectangular

  39. Polar and Rectangular Forms of Complex Numbers: Rectangular to Polar

  40. Graphically Multiply Complex Numbers

  41. Graphically Multiply Complex Numbers: Formula Practice

  42. Graphically Multiply Complex Numbers: Example Problem

  43. Graphically Multiply Complex Numbers: More Practice

  44. Graphically Divide Complex Numbers

  45. Graphically Divide Complex Numbers: Example

  46. Multiply and Divide Complex Numbers in Polar Form

  47. Multiply and Divide Complex Numbers in Polar Form: Practice

  48. Powers of Complex Numbers: De Moivre's Theorem

  49. Powers of Complex Numbers: Practice with De Moivre's Theorem

  50. Powers of Complex Numbers: Practice

  51. Powers of Complex Numbers: More Practice

  52. Multiply and Divide Complex Numbers with Euler's Formula

  53. Multiply and Divide Complex Numbers with Euler's Formula: Examples

  54. Powers of Complex Numbers: Deriving De Moivre's Theorem with Euler's Formula

  55. Roots of Unity: Polar Form (1 of 2)

  56. Roots of Unity: Polar Form (2 of 2)

  57. Roots of Unity: Euler's Formula

  58. Roots of Complex Numbers

  59. Roots of Complex Numbers: Practice

  60. Roots of Complex Numbers: More Practice

  61. Roots of Complex Numbers: Challenge Problem

  62. Reduce Rational Expressions to Lowest Terms: Intro

  63. Reduce Rational Expressions to Lowest Terms: Error Analysis

  64. Reduce Rational Expressions to Lowest Terms: Practice

  65. Graphs of Rational Functions: Parent Functions (part 1)

  66. Graphs of Rational Functions: Parent Functions (part 2)

  67. Graphs of Rational Functions: Parent Functions (Graphing Calculator)

  68. Graphs of Rational Functions: Patterns in Parent Functions

  69. Graphs of Rational Functions: Patterns in Parent Functions (Graphing Calculator)

  70. Rational Functions Points of Discontinuity: Intro

  71. Rational Functions Points of Discontinuity: Example

  72. Rational Functions Points of Discontinuity: Factoring

  73. Rational Functions Points of Discontinuity: Challenge Problems

  74. Multiply and Divide Rational Expressions: Intro

  75. Multiply and Divide Rational Expressions: Error Analysis

  76. Multiply and Divide Rational Expressions: Practice

  77. Add and Subtract Rational Expressions: Intro

  78. Add and Subtract Rational Expressions: Example

  79. Add and Subtract Rational Expressions: Challenge Problems

  80. Geometric Series: Intro

  81. Zeno's Paradox

  82. Geometric Series: Example of an Infinite Sum

  83. Geometric Series: More Advanced Infinite Sum

  84. Geometric Series: Infinite Sum with a Negative Common Ratio

  85. Geometric Series: Example of a Finite Sum

  86. Geometric Series: Formula for a Finite Sum

  87. Geometric Series Formula: Practice Problems

  88. Geometric Series Formula: Challenge Problem

  89. Geometric Series: Formula for an Infinite Sum

  90. Geometric Series: Comparing the Formulas for Finite and Infinite Sums

  91. Finite Geometric Series Word Problems

  92. Finite Geometric Series Word Problems: Practice

  93. Finite Geometric Series Word Problems: Challenge Problem

  94. Arithmetic Series: Intro

  95. Arithmetic Series: Adding the First 50 Numbers

  96. Arithmetic Series: Sum of the First 1000 Even Numbers

  97. Arithmetic Series: Formula for a Finite Sum

  98. Arithmetic Series: Formula for a Finite Sum Rewritten

  99. Arithmetic Series: Practice Problems

  100. Arithmetic Series: Challenge Problem (Summation Notation)

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