Introduction to Algebra

  1. Identifying Sets of Real Numbers
  2. Real Number Basics
  3. Adding Integers
  4. Subtracting Integers
  5. Multiply and Divide Integers
  6. Exponential Notation
  7. Properties of Exponents 
  8. Ex:  Write Repeated Multiplication Using Exponents
  9. Ex:  Expanding and Evaluating Exponential Notation
  10. Ex:  Simplify Exponential Expressions - Product and Power Rule
  11. Ex:  Simplify Exponential Expressions - Quotient Rule
  12. Ex 1:  Simplify Exponential Expressions - Positive Exponents Only
  13. Ex 2:  Simplify Exponential Expressions - Positive Exponents Only
  14. Ex 3:  Simplify Exponential Expressions - Positive Exponents Only
  15. Scientific Notation
  16. Animation:  Scientific Notation
  17. Ex:  Write a Number in Scientific Notation
  18. Ex:  Writing a Number in Decimal Notation When Given in Scientific Notation
  19. Ex:  Multiplying Numbers Written in Scientific Notation
  20. Ex:  Dividing Numbers Written in Scientific Notation
  21. Ex:  Multiply Numbers in Scientific Notation on the TI84
  22. Ex:  Divide Numbers in Scientific Notation on the TI84
  23. Order of Operations – The Basics
  24. Order of Operations
  25. Introduction to the Distributive Property
  26. Using the Distributive Property to Multiply
  27. Simplifying Algebraic Expressions
  28. Evaluating Algebraic Expressions
  29. Ex:  Evaluate Exponential Expressions
  30. Ex:  Evaluate Exponential Expression
  31. Ex 1:  Evaluate An Expression Using The Order of Operations
  32. Ex 2:  Evaluate An Expression Using The Order of Operation
  33. Ex 3:  Evaluate An Expression Using The Order of Operation
  34. Ex:  Write Repeated Multiplication Using Exponents
  35. Ex:  Expanding and Evaluating Exponential Notation
  36. Ex:  Simplify Exponential Expressions - Product and Power Rule
  37. Ex:  Simplify Exponential Expressions - Quotient Rule
  38. Ex 1:  Simplify Exponential Expressions - Positive Exponents Only
  39. Ex 2:  Simplify Exponential Expressions - Positive Exponents Only
  40. Ex 3:  Simplify Exponential Expressions - Positive Exponents Only
  41. Introduction to Variables and Variable Expressions
  42. Ex 1:  Writing Variable Expressions
  43. Ex 2:  Write Algebraic Expressions
  44. Ex 1:  Writing Basic Algebraic Expressions
  45. Ex 2:  Writing Basic Algebraic Expressions
  46. Introduction to the Distributive Property
  47. Ex 1:  The Distributive Property
  48. Ex 2:  The Distributive Property
  49. Using the Distributive Property to Multiply
  50. Combining Like Terms
  51. Ex 1:  Combining Like Terms
  52. Ex 2:  Combining Like Terms
  53. Ex 3:  Combining Like Terms Requiring Distribution
  54. Simplifying Algebraic Expressions
  55. Ex:  Simplify Variable Expressions by Multiplying
  56. Evaluating Algebraic Expressions


Linear Equations in One Variable

  1. Solving One Step Equations:  The Basics
  2. Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)
  3. Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)
  4. Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)
  5. Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)
  6. Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Left)
  7. Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Right)
  8. Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Left)
  9. Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Right)
  10. Ex:  Solving One Step Equation in the Form:  -x = a
  11. Ex:  Solve One Step Equation by Add/Subtract (Simplify 1st)
  12. Ex:  Solve One Step Equation by Mult/Div (Simplify 1st)
  13. Solving One Step Equations Involving Fractions
  14. Ex:  Solve One Step Equations With Fraction by Adding or Subtracting
  15. Ex:  Solve One Step Equations With Fraction by Multiplying
  16. Solving One Step Equations Involving Decimals
  17. Ex:  Solve a One Step Equation With Decimals by Adding and Subtracting
  18. Ex:  Solve a One Step Equation With Decimals by Multiplying
  19. Ex:  Solve a One Step Equation With Decimals by Dividing
  20. Solving One Step Equations:  Summary
  21. Solving Two Step Equations:  The Basics
  22. Ex 1:  Solving Two-Step Equations Using Integers
  23. Ex 2:  Solving Two-Step Equations Using Integers
  24. Solving Two Step Equations Involving Fractions
  25. Ex:  Solve a Two-Step Equation with a Fraction
  26. Ex:  Solve an Equation with Fractions
  27. Solving Two Step Equations Involving Decimals
  28. Ex:  Solve a Two-Step Equation with Decimals
  29. Solving Two Step Equations:  Summary
  30. Solving Multiple Step Equations
  31. Ex 1:  Solve an Equation with Parentheses
  32. Ex 2:  Solve an Equation with Parentheses
  33. Ex:  Solve an Equation with Variable Terms on Both Sides
  34. Ex 1:  Solve an Equation with Variables and Parentheses on Both Sides
  35. Ex 2:  Solve an Equation with Variables and Parentheses on Both Sides
  36. Ex :  Solving a Multi-Step Linear Equation in One Variable
  37. Ex:  Solving a Multi-Step Linear Equation in One Variable
  38. Ex 1:  Solve an Equation with Fractions with Variable Terms on Both Sides
  39. Ex 2:  Solve an Equation with Fractions with Variable Terms on Both Sides
  40. Solving Multiple Step Equations Involving Decimals
  41. Ex:  Solve a Linear Equation With Decimals and Variables on Both Sides
  42. Ex: Solve an Equation with Decimals and Parentheses
  43. Examples 1:  Solving a Formula for a Variable
  44. Examples 2:  Solving a Formula for a Variable
  45. Solving Linear Equations Graphically
  46. Problem Solving with Equations
  47. Ex: Find the Area of a Rectangle Given the Perimeter
  48. Ex:  Linear Equation Application - Car Repair with Labor and Parts
  49. Ex:  Linear Equation Application - Depth Under Water

Linear Equations in Two Variables

  1. Plotting Points on the Coordinate Plane
  2. Identify the Quadrant of a Point on the Coordinate Plane
  3. Ex:  Plotting Points on the Coordinate Plane
  4. Ex:  Identifying the Coordinates of Points on the Coordinate Plane
  5. Ex:  Determine if Points are on a Given Line
  6. Graphing By Plotting Points:  Part 1, Part 2
  7. Ex 1:  Graph a Linear Equation Using a Table of Values
  8. Ex 2:  Graph a Linear Equation Containing Fractions Using a Table of Values
  9. Ex 3:  Graph a Linear Equation in Standard Form Using a Table of Values
  10. Ex:  Linear Equation Application (Write a Cost Equation)
  11. Ex:  Linear Equation Application (Write a Profit Equation)
  12. Graphing Horizontal and Vertical Lines
  13. Ex:  Graph a Horizontal Line Using a Table of Values
  14. Ex:  Graph a Vertical Line Using a Table of Values
  15. Graphing by Find Intercepts
  16. Ex:  State the X and Y Intercepts Given the Graph of a Line
  17. Ex 1:  Graph a Linear Equation in Standard Form Using the Intercepts
  18. Ex 2:  Graph a Linear Equation in Standard Form Using the Intercepts
  19. Ex:  Determine the x and y Intercepts of a Linear Equation in Slope Intercept Form
  20. Using Models
  21. Rate and Slope
  22. Ex 1: Determine the Slope Given the Graph of a Line (positive slope)
  23. Ex 2: Determine the Slope Given the Graph of a Line (negative slope)
  24. Ex: Determine the Slope Given the Graph of a Horizontal and Vertical Line
  25. Ex 1:  Determine the Slope a Line Given Two Points on a Line
  26. Ex 2:  Determine the Slope a Line Given Two Points on a Line
  27. Ex:  Determine the Slope a Line Given Two Points on a Horizontal and Vertical Line
  28. Ex:  Slope Application Involving Population Growth
  29. Ex:  Slope Application Involving Production Costs
  30. Graphing a Line in Slope-Intercept Form (new)
  31. Animation:  y = mx + b
  32. Graphing Lines in the form y = mx + b – Slope Intercept Form
  33. Slope-Intercept form of a Line
  34. Ex 1:  Graph a Linear Equation in Slope-Intercept Form
  35. Ex 2:  Graph a Linear Equation in Slope-Intercept Form
  36. Ex 3:  Graph a Linear Equation in Slope-Intercept Form
  37. Ex 4:  Graph a Linear Equation in Slope-Intercept Form
  38. Ex 1:  Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form
  39. Ex 2:  Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form
  40. Ex 3:  Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form
  41. Determine the Equation of a Line in Slope-Intercept Form
  42. Ex 1:  Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line
  43. Ex 2:  Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line
  44. Ex:  Find the Equation of a Line in Slope Intercept Form Given the Slope and a Point
  45. Ex 2:  Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line
  46. Ex:  Find the Equation of a Horizontal and Vertical Line Given the Graph
  47. Ex 1:  Find the Equation of a Line in Slope Intercept Form Given Two Points
  48. Ex 2:  Find the Equation of a Line in Slope Intercept Form Given Two Points
  49. Ex:  Find the Equation of a Line in Slope Intercept Form Given the X and Y Intercepts
  50. Ex:  Find the Equation of a Horizontal Line Given Two Points on the Line
  51. Ex:  Find the Equation of a Vertical Line Given Two Points on the Line
  52. Standard Form of a Line
  53. Ex:  Graph a Linear Equation in Standard Form Using a Table of Values
  54. Ex:  Graph a Linear Equation in Standard Form Using the Intercepts
  55. Ex 1:  Given Linear Equation in Standard Form, Write in Slope-Intercept Form to Graph
  56. Ex 2:  Given Linear Equation in Standard Form, Write in Slope-Intercept Form to Graph
  57. Ex:  Match the Graph of a Line to the Correct Equation in Standard Form
  58. Ex 1: Find the Equation of a Line in Standard Form Given Two Points
  59. Ex 2: Find the Equation of a Line in Standard Form Given Two Points
  60. Point Slope Form of  a Line
  61. Ex:  Graph a Linear Equation in Point-Slope Form
  62. Ex:  Find the Equation of a Line in Point Slope and Slope Intercept Form Given a Graphed Line
  63. Ex:  Find the Equation of a Line in Point Slope and Slope Intercept Form Given the Slope and a Point
  64. Ex:  The Equation of the Line in Point-Slope and Slope Intercept Form Given Two Points
  65. Finding Linear Equations
  66. Graphing Lines on the Graphing Calculator
  67. Parallel and Perpendicular Lines:  Part 1, Part 2
  68. Parallel and Perpendicular Lines (old)
  69. Ex 1:  Find the Equation of a Line Parallel to a Given Line Passing Through a Given Point
  70. Ex 2:  Find the Equation of a Line Parallel to a Given Line Passing Through a Given Point
  71. Ex 1:  Find the Equation of a Line Perpendicular to a Given Line Passing Through a Given Point
  72. Ex 2:  Find the Equation of a Line Perpendicular to a Given Line Passing Through a Given Point

Linear Equation Applications

  1. Ex:  Percent Equation to Determine a Sale Price
  2. Ex 1:  Number Problem:  Find a Number given a Relationship
  3. Ex 2:  Number Problem:  Find a Number given a Relationship
  4. Ex: Find the Length of Two Pieces Cut From a Large Piece Given a Relationship
  5. Ex:  Find the Dimensions and Area of a Field Given the Perimeter
  6. Ex:  Find the Dimensions of a Bookcase Using  a Linear Equation
  7. Ex:  Find a Monthly Salary given Annual Salary Including a Bonus
  8. Ex:  Find the Number of Coins in a Bag Given the Total Value
  9. Ex:  Given the Interest, Find the Amount of Money in Two Accounts Earning Different Interest
  10. Ex:  Find the Rate of Two Cyclist Traveling Toward Each Other
  11. Ex:  Find the Distance Between To Cities Using d = rt formula
  12. Ex:  Find When Two People Leaving the Same Place At Different Rates and Time Will Meet
  13. Linear Business Application
  14. Ex:  Linear Equation Application (Cost of a Rental Car)
  15. Ex:  Linear Equation Application (Write a Cost Equation)
  16. Ex:  Linear Equation Application:  Write a Profit Equation
  17. Ex:  Linear Equation Model for Submarine Depth
  18. Ex:  Linear Application:  Oil Reserves
  19. Ex:  Given a Linear Model, Interpret the Meaning of the Slope and Make Predictions
  20. Ex:  Determining Linear Model for Population Growth
  21. Direct Variation
  22. Ex 1:  Graph a Direct Variation Equation (positive slope)
  23. Ex 2:  Graph a Direct Variation Equation (negative slope)
  24. Ex:  Direct Variation Equation
  25. Ex: Direct Variation (Distance = Rate x Time)
  26. Introduction to Regression Analysis
  27. Linear Regression
  28. Ex 1:  Create a Scatter Plot and then Perform Linear Regression on the Calculator
  29. Ex 2:  Creating a Scatter Plot and Performing Linear Regression on the Calculator
  30. Linear Regression – Example 1, Example 2

Introduction to Functions

  1. Introduction to a Function:  Part 1, Part 2
  2. Ex:  Write a Cost Function and Complete a Table of Values
  3. Ex:  Complete a Table of Values Given a Function Rule
  4. Ex 1:  Write a Function Rule Given a Table of Values
  5. Ex 2:  Write a Function Rule Given a Table of Values
  6. Ex 3:  Write a Function Rule Given a Table of Values
  7. Ex:  Graph a Linear Function Using a Table of Values
  8. Finding Values of Functions
  9. Ex 1:  Determine Function Values Given a Quadratic Function
  10. Ex 2:  Determine Function Values Given a Square Root Function
  11. Ex 3:  Determine Function Values Given a Rational Function
  12. Ex 1:  Determine a Function Value From a Graph
  13. Ex 2:  Determine a Function Value From a Graph
  14. Ex 3:  Determine a Function Value From a Piecewise Defined Graph
  15. Ex:  Given a Graph and a Function Value, Determine the Input or X-Value
  16. Ex:  Graph an Absolute Value Function Using a Table of Values
  17. Ex:  Graph a Square Root Function Using a Table of Values
  18. Ex:  Graph a Quadratic Function Using a Table of Values
  19. Ex:  Graph a Cubic Function Using a Table of Values
  20. Determine if a relation is Function
  21. Ex:  Determine if a  Table Values Represents a Function
  22. Ex 1: Use the Vertical Line Test to Determine if a Graph Represents a Function
  23. Ex 2: Use the Vertical Line Test to Determine if a Graph Represents a Function
  24. Find the domain and range
  25. Ex 1:  Determine the Domain and Range of the Graph of a Function
  26. Ex 2:  Determine the Domain and Range of the Graph of a Function
  27. Ex:  Determine the Domain of a Square Root Function
  28. Ex:  Determine the Domain of an Absolute Value Function
  29. Ex:  Determine the Domain of a Rational Function

Linear and Absolute Value Inequalities

  1. Solving One-Step Linear Inequalities in One Variable
  2. Ex: Graphing Basic Inequalities and Expressing Using Interval Notation
  3. Ex:  Solving One Step Inequalities by Adding and Subtracting (Variable Left Side)
  4. Ex:  Solving One Step Inequalities by Adding and Subtracting (Variable Right Side)
  5. Ex:  Solve One Step Linear Inequality by Dividing (Variable Left)
  6. Ex:  Solve One Step Linear Inequality by Dividing (Variable Right)
  7. Ex:  Solving a One Step Linear Inequality by Multiplying
  8. Solving Two-Step Linear Inequalities in One Variable
  9. Ex:  Solve a Two Step Linear Inequality  (Variable Left)
  10. Ex:  Solve a Two Step Linear Inequality  (Variable Right)
  11. Solving Linear Inequalities in One Variable 
  12. Ex:  Solve a Linear Inequality Requiring Multiple Steps (Parentheses)
  13. Ex:  Solve a Multiple Step Linear Inequality  (Variable Both Sides)
  14. Problem Solving with Inequalities
  15. Interval Notation
  16. Compound Inequalities
  17. Ex:  Graph Basic Compound Inequalities
  18. Ex 1:  Solve a Compound Inequality Involving AND (Intersection)
  19. Ex 2:  Solve a Compound Inequality Involving AND (Intersection)
  20. Ex 3:  Solve a Compound Inequality Involving (Intersection)
  21. Ex:  Solve a Compound Inequality Involving OR (Union)
  22. Ex:  Solve a Multiple Step Compound Inequality (OR / Union)
  23. Ex:  Solve a Compound Inequality (No Solution)
  24. Ex:  Solve a Compound Inequality (All Real Numbers Solution)
  25. Absolute Value Equations
  26. Ex 1:  Solving Absolute Value Equations
  27. Ex 2:  Solving Absolute Value Equations
  28. Ex 3:  Solving Absolute Value Equations (Requires Isolating Abs. Value)
  29. Ex 4:  Solving Absolute Value Equations (Requires Isolating Abs. Value)
  30. Ex 5:  Solving Absolute Value Equations (Requires Isolating Abs. Value)
  31. Ex: Solving Absolute Value Equations on the Graphing Calculator
  32. Absolute Value Inequalities
  33. Ex 1:  Solve and Graph Basic Absolute Value inequalities
  34. Ex 2:  Solve and Graph Absolute Value inequalities
  35. Ex 3:  Solve and Graph Absolute Value inequalities
  36. Ex 4:  Solve and Graph Absolute Value inequalities  (Requires Isolating Abs. Value)
  37. Ex 5:  Solve and Graph Absolute Value inequalities Involving Fractions
  38. Ex 6:  Solve and Graph Absolute Value inequalities  (Requires Isolating Abs. Value)
  39. Linear Inequalities in Two Variables
  40. Ex:  Determine if Ordered Pairs Satisfy a Linear Inequality
  41. Ex 1:  Graphing Linear Inequalities in Two Variables (Slope Intercept Form)
  42. Ex 2:  Graphing Linear Inequalities in Two Variables (Standard Form)
  43. Ex:  Graphing a Linear Inequality in One Variable on the Coordinate Plane (Horizontal Line)
  44. Ex:  Graphing a Linear Inequality in One Variable on the Coordinate Plane (Vertical Line)
  45. Ex:  Linear Inequality in Two Variables Application Problem  (Phone Cost:  Day and Night Minutes)

System of Equations and Inequalities

  1. Solving Systems of Equations by Graphing
  2. Determining the Intersection of Two Graph on the TI83/84
  3. Ex:  Identify the Solution to a System of Equation Given a Graph, Then Verify
  4. Ex 1:  Solve a System of Equations by Graphing
  5. Ex 2:  Solve a System of Equations by Graphing
  6. Ex: Solve a System of Equations by Graphing (Infinite Solutions)
  7. Ex: Solve a System of Equations by Graphing (No Solution)
  8. Regression and Systems of Equations:  Application
  9. Solving Systems of Equations by Substitution
  10. Ex 1:  Solve a System of Equations Using Substitution
  11. Ex 2:  Solve a System of Equations Using Substitution
  12. Ex 3:  Solve a System of Equations Using Substitution
  13. Ex 4:  Solve a System of Equations Using Substitution
  14. Ex:  Solve a System of Equations Using Substitution - Infinite Solutions
  15. Ex:  Solve a System of Equations Using Substitution - No Solution
  16. Solving Systems of Equations by Elimination
  17. Ex 1:  Solve a System of Equations Using the Elimination Method
  18. Ex 2:  Solve a System of Equations Using the Elimination Method
  19. Ex 3:  Solve a System of Equations Using the Elimination Method
  20. Ex:  System of Equations Using Elimination (Infinite Solutions)
  21. Ex:  System of Equations Using Elimination (No Solution)
  22. Applications Involving Systems of Equations
  23. More Applications Involving Systems of Equations
  24. Ex:  System of Equations Application - Number Problem Using Substitution
  25. Ex:  System of Equations Application - Number Problem Using Elimination
  26. Ex:  System of Equations Application - Compare Phone Plans
  27. Ex:  System of Equations Application - Entrance Fees
  28. Ex:  System of Equations Application - Coin Problem
  29. Ex:  System of Equations Application - Plane and Wind Problem
  30. Ex:  System of Equations Application - Commission and Salary
  31. Ex:  System of Equations Application - Investment Accounts
  32. Ex:  System of Equations Application  (Corral Perimeter)
  33. Ex:  System of Equations Application - Mixture Problem
  34. Systems of Linear Inequalities
  35. Ex 1:  Graph a System of Linear Inequalities
  36. Ex 2:  Graph a System of Linear Inequalities
  37. Ex 3:  Graph the feasible Region of a System of Linear Inequalities
  38. System of Equations in Three Variables:  Part 1, Part 2

Exponents and Polynomials

  1. Exponential Notation
  2. Properties of Exponents 
  3. Ex:  Write Repeated Multiplication Using Exponents
  4. Ex:  Expanding and Evaluating Exponential Notation
  5. Ex:  Simplify Exponential Expressions - Product and Power Rule
  6. Ex:  Simplify Exponential Expressions - Quotient Rule
  7. Ex 1:  Simplify Exponential Expressions - Positive Exponents Only
  8. Ex 2:  Simplify Exponential Expressions - Positive Exponents Only
  9. Ex 3:  Simplify Exponential Expressions - Positive Exponents Only
  10. Ex 1:  Simplify Exponential Expressions With Negative Exponents – Basic
  11. Ex 2:  Simplify Exponential Expressions With Negative Exponents – Basic
  12. Negative Exponents
  13. Scientific Notation
  14. Ex 1:  Simplify an Exponential Expression with Negative Exponents
  15. Ex 2:  Simplify an Exponential Expression with Negative Exponents
  16. Ex 3:  Simplify an Exponential Expression with Negative Exponents
  17. Ex 4:  Simplify Expressions with Negative Exponents
  18. Ex 5:  Simplify Expressions with Negative Exponents
  19. Ex 6:  Simplify Expressions with Negative Exponents
  20. Introduction to Polynomials
  21. Ex:  Intro to Polynomials in One Variable
  22. Ex:  Intro to Polynomials in Two Variables
  23. Combine Like Terms
  24. Evaluating Algebraic Expressions
  25. Evaluating Polynomial Expressions and Functions
  26. Add and Subtract Polynomials
  27. Ex:  Adding Polynomials
  28. Ex:  Subtracting Polynomials
  29. Ex:  Adding and Subtracting Polynomials
  30. Multiplying Polynomials
  31. Special Products of Polynomial
  32. Ex:  Multiplying Monomials
  33. Ex:  Multiplying Using the Distributive Property
  34. Ex:  Multiplying Binomials
  35. Ex:  Squaring Binomials
  36. Ex: Multiplying Binomial Conjugates - Special Binomial Products
  37. Ex:  Polynomial Multiplication Involving Binomials and Trinomials
  38. Ex:  Simplify an Expression Involving Squares of Two Binomials
  39. Ex:  Find the Area of a Rectangle Using a Polynomial
  40. Ex:  Determine the Area of a Shaded Region Using a Polynomial
  41. Dividing Polynomials by a Monomial
  42. Dividing Polynomials – Long Division
  43. Ex 1:  Divide a Trinomial by a Binomial Using Long Division
  44. Ex 2:  Divide a Trinomial by a Binomial Using Long Division
  45. Ex 3:  Divide a Polynomial by a Binomial Using Long Division
  46. Ex 4:  Divide a Polynomial by a Binomial Using Long Division
  47. Ex 5:  Divide a Polynomial by a Binomial Using Long Division
  48. Dividing Polynomials – Synthetic Division
  49. Ex: Divide a Polynomial by a Monomial
  50. Ex 6:  Divide a Polynomial by a Degree Two Binomial Using Long Division
  51. Ex 1:  Divide a Trinomial by a Binomial Using Synthetic Division
  52. Ex 2:  Divide a Polynomial by a Binomial Using Synthetic Division
  53. Ex 3:  Divide a Polynomial by a Binomial Using Synthetic Division
  54. Ex 4:  Divide a Polynomial by a Binomial Using Synthetic Division
  55. The Algebra of Functions

Factoring

  1. Factoring:  Greatest Common Factor
  2. Ex:  Factor a Binomial - Greatest Common Factor
  3. Ex 1:  Identify GCF and Factor a Binomial
  4. Ex 2:  Identify GCF and Factor a Trinomial
  5. Factoring:  Grouping Technique
  6. Ex:  Factor a Polynomial Using the Grouping Technique
  7. Factoring a Trinomial With Leading Coefficient equal to 1 – The Basics
  8. Factoring:  Basic Trinomials with a = 1
  9. Ex: Factor Trinomials When A equals 1
  10. Ex:  Factoring Polynomials with Common Factors
  11. Factoring:  Trinomials using Trial and Error and Grouping
  12. Ex:  Factor Trinomials When A is NOT Equal to 1 - Trial and Error Method
  13. Ex:  Factor Trinomials When A is NOT Equal to 1 - Grouping Method
  14. Factoring:  Trinomials using Bottoms-Up
  15. Proof:  Bottoms Up Factoring Method
  16. Ex:  Factor Trinomials When A is NOT Equal to 1 - Bottoms Up Method
  17. Factoring:  Difference of Squares
  18. Ex:  Factor a Difference of Squares
  19. Ex:  Factor a Difference of Squares with a Common Factor
  20. Ex:  Factor a Difference of Squares in the Form a^2 - x^2
  21. Factoring:  Perfect Square Trinomials
  22. Ex:  Factor Perfect Square Trinomials
  23. Factoring:  Sum and Difference of Cubes
  24. Ex 1:  Factor a Sum or Difference of Cubes
  25. Ex 2:  Factor a Sum or Difference of Cubes
  26. Ex 3:  Factor a Sum or Difference of Cubes
  27. Solving Polynomial Equations Graphically
  28. Determining When a Polynomial Function is Increasing and Decreasing
  29. Determining the Zeros or Roots of a Polynomial Function on the TI83/84

Quadratic Functions and Equations

  1. The Zero-Product Property
  2. Solving Quadratic Equations by Factoring
  3. Ex: Solve an Equation in Factored Form
  4. Ex:  Factor and Solve Quadratic Equation - Greatest Common Factor Only
  5. Ex 1:  Factor and Solve a Quadratic Equation - GCF
  6. Ex 2:  Factor and Solve a Quadratic Equation - GCF
  7. Ex 1:  Factor and Solve a Quadratic Equation - Factor by Grouping
  8. Ex 2:  Factor and Solve a Quadratic Equation - Factor by Grouping
  9. Ex: Factor and Solve Quadratic Equations When A equals 1
  10. Ex 1: Factor and Solve Quadratic Equation - Trinomial a = 1
  11. Ex 2: Factor and Solve Quadratic Equation - Trinomial a = 1
  12. Ex: Factor and Solve Quadratic Equation - Trinomial a = -1
  13. Ex:  Factor and Solve Quadratic Equation - Difference of Squares
  14. Ex 1:  Factor and Solve a Quadratic Equation Using Difference of Squares
  15. Ex 2:  Factor and Solve a Quadratic Equation Using Difference of Squares
  16. Ex: Factor and Solve a Quadratic Equation - Perfect Square Trinomials
  17. Ex: Factor and Solve Quadratic Equation - Perfect Square Trinomials
  18. Ex:  Factor and Solve Quadratic Equation - Greatest Common Factor +
  19. Ex 1:  Factor and Solve a Quadratic Equation - a not 1
  20. Ex 2:  Factor and Solve a Quadratic Equation - a not 1
  21. Ex 1:  Solve Quadratic Equations by Factoring Completely
  22. Ex 2:  Solve Quadratic Equations by Factoring Completely
  23. Ex:  Factor and Solve a Polynomial Equation
  24. Ex 1:  Solve a Quadratic Equation Graphically on Calculator
  25. Ex 2:  Solve a Quadratic Equation Graphically on Calculator
  26. Ex 1:  Solving Quadratic Equations Graphically Using x-Intercepts
  27. Ex 2:  Solving Quadratic Equations Graphically Using the Intersection Method
  28. Solving Quadratic Equations Using Square Roots
  29. Ex 1:  Solving Quadratic Equations Using Square Roots
  30. Ex 2:  Solving Quadratic Equations Using Square Roots
  31. Ex 3:  Solving Quadratic Equations Using Square Roots
  32. Ex 4:  Solving Quadratic Equations Using Square Roots
  33. Ex:  Creating a Perfect Square Quadratic Trinomial Expression
  34. Ex:  Create an Expression with a Perfect Square Quadratic Trinomial
  35. Completing the Square
  36. Ex 1:  Completing the Square - Real Rational Solutions
  37. Ex 2:  Completing the Square - Real Irrational Solutions
  38. Ex 3:  Completing the Square - Complex Solutions
  39. Ex 4:  Completing the Square - Leading Coefficient Not 1
  40. Ex:  Simplify a Radical Expression (Quadratic Formula Practice)
  41. Using the Quadratic Formula
  42. Ex:  The Discriminant
  43. Proof of The Quadratic Formula
  44. Ex:  Quadratic Formula - Two Real Rational Solutions
  45. Ex:  Quadratic Formula - One Real Rational Repeated Solution
  46. Ex1:  Quadratic Formula - Two Real Irrational Solutions
  47. Ex2:  Quadratic Formula - Two Real Irrational Solutions
  48. Ex:  Quadratic Formula - Complex Solutions
  49. Graphing Quadratic Functions in Standard Form
  50. Graphing Quadratic Functions in General Form
  51. Ex1:  Graph a Quadratic Function in General Form
  52. Ex2:  Graph a Quadratic Function in General Form
  53. Ex 1:  Graph a Quadratic Function in Standard Form
  54. Ex 2:  Graph a Quadratic Function in Standard Form
  55. Graphing Quadratic Functions Using Symmetric Points
  56. Ex1:  Write a Quadratic Function in Standard Form to Graph
  57. Ex2:  Write a Quadratic Function in Standard Form to Graph (a not 1)
  58. Ex:  Quadratic Function Review
  59. Ex:  Find the Equation of a Quadratic Function from the Graph
  60. Ex:  Find the Length of the Diagonal of a Rectangle Given the Area
  61. Ex: Find the Perimeter of an Equilateral Triangle Given the Area without Trigonometry
  62. Ex:  Quadratic Function Application - Blood Pressure
  63. Ex:  Find the Size of Cardboard Needed to Make a Box with a Given Volume
  64. Ex: Quadratic Function Application - Horizontal Distance and Vertical Height
  65. Ex: Quadratic Function Application - Time and Vertical Height
  66. Ex:  Quadratic Regression on the TI84 - Stopping Distance
  67. Solving Quadratic Inequalities
  68. Solve Equations in Quadratic Form by Factoring
  69. Ex 1: Solving Equations in Quadratic Form - Rational Exponents
  70. Ex 2: Solving Equations in Quadratic Form - Higher Powers
  71. Ex 3: Solving Equations in Quadratic Form - Square Root
  72. Ex 4: Solving Equations in Quadratic Form - Negative Exponents
  73. Ex 1:  Find a Quadratic Function With Integer Zeros
  74. Ex 2:  Find a Quadratic Function With Fractional Real Zeros
  75. Ex 3:  Find a Quadratic Function With Imaginary Zeros
  76. Ex 4:  Find a Quadratic Function With Complex Zeros
  77. Ex 5:  Find a Quadratic Function With Complex Zeros (Alternative Method)
  78. Ex 1:  Find a Quadratic Function Using Sum and Product of Zeros (Integer and Fraction Zeros)
  79. Ex 2:  Find a Quadratic Function Using Sum and Product of Zeros (Complex)

Polynomial Functions

  1. Ex 1:  Find a Degree 3 Polynomial Function Given Integer Zeros
  2. Ex 2:  Find a Degree 3 Polynomial Function Given Fractional Zeros
  3. Ex 3:  Find a Degree 3 Polynomial Function Given Imaginary Zeros
  4. Ex 4:  Find a Degree 3 Polynomial Function Given Complex Zeros
  5. Ex 1:  Find a Degree 4 Polynomial Function Given Integer and Complex Zeros
  6. Ex 2:  Find a Degree 4 Polynomial Function Given Integer and Complex Zeros
  7. Ex 3:  Find a Degree 4 Polynomial Function Given Fractional and Complex Zeros
  8. Ex 1:  Find the Zeros of a Polynomial Function - Integer Zeros
  9. Ex 2:  Find the Zeros of a Polynomial Function - Real Rational Zeros
  10. Ex 3:  Find the Zeros of a Polynomial Function with Irrational Zeros
  11. Ex 4:  Find the Zeros of a Polynomial Function with Imaginary Zeros
  12. Ex 5:  Find the Zeros of a Polynomial Function with Complex Zeros
  13. Ex 6:  Find the Zeros of a Degree 4 Polynomial Function
  14. Ex 7:  Find the Zeros of a Degree 5 Polynomial Function
  15. Ex 1:  The Zero Feature of the TI84 to Find Rational Zeros of a Polynomial
  16. Ex 2:  The Zero Feature of the TI84 to Find Rational Zeros of a Polynomial
  17. Ex 1:  The Intersection Feature of the TI84 to Find Rational Zeros of a Polynomial
  18. Ex 2:  The Intersection Feature of the TI84 to Find Rational Zeros of a Polynomial

Radicals Expressions, Equations, and Functions

  1. Introduction to Square Root and Perfect Squares
  2. Introduction to Radicals
  3. Using Rational Exponents
  4. Simplifying Radicals
  5. Ex:  Simplify Square Roots - Perfect Roots
  6. Ex:  Simplify Perfect Nth Roots - Radicals
  7. Ex:  Simplify Square Roots - Not Perfect Roots
  8. Ex:  Simplify a Radical Expression containing Square Roots in the Numerator and Denominator
  9. Ex:  Simplify Radicals with the Same Radicand and Different Indexes
  10. Ex:  Simplify a Radical Containing a Fraction - Perfect Root
  11. Ex:  Simplify Radicals with Variables - Perfect Roots
  12. Ex:  Simplify Radicals Containing Variables With Large Exponents - Not Perfect Roots
  13. Ex:  Simplify Radicals with Negative Radicands and Odd Indexes
  14. Ex:  Simplify Radicals with Variables - Not Perfect Roots
  15. Evaluating Radical Expressions on the TI83/84
  16. Multiplying Radicals
  17. Ex:  Multiply Square Roots
  18. Ex 1:  Multiply Radicals
  19. Ex 2:  Multiply Radicals
  20. Ex:  Multiply Radicals with Variables
  21. Ex:  Radicals Raised to Powers
  22. Ex:  Distribution with Square Roots
  23. Ex: Multiply Binomials with Square Roots
  24. Ex:  Square Binomials With Square Roots
  25. Ex:  Multiply Radical Conjugates - Square Roots
  26. Dividing Radicals
  27. Ex 1:  Rationalize the Denominator of a Radical Expression
  28. Ex 2:  Rationalize the Denominator of a Radical Expression
  29. Ex:  Rationalize the Denominator of a Radical Expression - Conjugate
  30. Ex:  Write a Radical in Rational Exponent Form
  31. Ex: Simplify Expressions with Rational Exponents
  32. Ex:  Multiply and Divide Radicals with Different Indexes Using Rational Exponents - Same Radicand
  33. Ex: Multiply Radicals with Different Indexes Using Rational Exponents - Different Radiand
  34. Ex:  Evaluate an Expression with Rational Exponents Using Radicals
  35. Adding and Subtracting Radicals
  36. Ex:  Add and Subtract Square Roots - No Simplifying
  37. Ex:  Add and Subtract Square Roots
  38. Ex:  Add and Subtract Square Roots Containing Variables
  39. Solving Radical Equations with One Radical
  40. Solving Radical Equations with Two Radicals
  41. Ex 1:  Solve a Basic Radical Equation - Square Roots
  42. Ex 2:  Solve Radical Equations - Square Roots
  43. Ex 3:  Solve Radical Equations - Square Roots
  44. Ex 4:  Solve Radical Equations - Square Roots
  45. Ex 5:  Solve Radical Equations - Two Square Roots
  46. Ex 6:  Solve Radical Equations - Two Square Roots
  47. Ex 7:  Solve Radical Equations - Two Square Roots
  48. Ex:  Solve Radical Equations - Cube Roots / Fourth Roots
  49. Radical Equation Application - Vehicle Speed from Skid Mark Length
  50. Complex Numbers
  51. Complex Number Operations
  52. Ex :  Simplify Imaginary and Complex Numbers
  53. Ex:  Simplify, Add, and Subtract Imaginary and Complex Numbers
  54. Ex 1:  Adding and Subtracting Complex Numbers
  55. Ex 2:  Adding and Subtracting Complex Numbers
  56. Ex 1:  Simplify and Multiply Complex Numbers
  57. Ex 2:  Multiply Complex Numbers
  58. Ex 3:  Multiply Complex Numbers
  59. Ex: Multiplying Complex Conjugates
  60. Ex:  Raising the imaginary unit i to powers
  61. Ex:  Dividing Complex Numbers
  62. The Pythagorean Theorem
  63. The Distance Formula
  64. Ex:  Midpoint of a Segment
  65. Graphing the Basic Square Root Function
  66. Reflections of the Square Root Function
  67. Horizontal and Vertical Shifts of the Square Root Function
  68. Horizontal and Vertical Stretches and Compressions of the Square Root Function
  69. Function Transformation Summary - The Square Root Function
  70. Summary of Function Transformations
  71. Ex 1:  Find the Equation of a Transformed Square Root Function
  72. Ex 2:  Find the Equation of a Transformed Square Root Function
  73. Ex 1:  Graphing a Transformation of the Square Root Function
  74. Ex 2:  Graphing a Transformation of the Square Root Function

Rational Expressions, Equations, and Functions

  1. Ex:  The Domain of Rational Functions
  2. Determining Vertical and Horizontal Asymptotes of Rational Functions
  3. Determining Slant Asymptotes of Rational Functions
  4. Graphing Rational Functions
  5. Ex 1:  Graphing Rational Functions
  6. Ex 2:  Graphing Rational Functions
  7. Ex 3:  Graphing Rational Functions
  8. Ex 4:  Graphing Rational Functions
  9. Ex 5:  Graphing Rational Functions
  10. Ex 6:  Graphing Rational Functions
  11. Simplifying Rational Expressions
  12. Ex 1:  Simplifying Rational Expressions – Monomials
  13. Ex 2:  Simplifying Rational Expressions
  14. Ex 3:  Simplifying Rational Expressions
  15. Ex 4:  Simplifying Rational Expressions
  16. Multiplying and Dividing Rational Expressions
  17. Ex 1:  Multiply Rational Expressions – Monomials
  18. Ex 2:  Multiply Rational Expressions
  19. Ex 3:  Multiply Rational Expressions
  20. Ex 4:  Multiply Rational Expressions
  21. Ex 1:  Dividing Rational Expressions – Monomials
  22. Ex 2:  Dividing Rational Expressions
  23. Ex 3:  Dividing Rational Expressions
  24. Adding and Subtracting Rational Expressions
  25. Ex 1:  Add and Subtract Rational Expressions - Like Denominators
  26. Ex 2:  Add and Subtract Rational Expressions - Like Denominators
  27. Ex 3:  Add and Subtract Rational Expressions - Like Denominators
  28. Ex:  Add and Subtract Rational Expressions - Opposite Denominators
  29. Ex 1:  Add and Subtract Rational Expressions - Unlike Denominators
  30. Ex 2:  Add and Subtract Rational Expressions - Unlike Denominators
  31. Ex 3:  Add and Subtract Rational Expressions - Unlike Denominators
  32. Ex 4:  Add and Subtract Rational Expressions - Unlike Denominators
  33. Solving Rational Equations
  34. Ex 1:  Solving Rational Equations
  35. Ex 2:  Solving Rational Equations
  36. Ex 3:  Solving Rational Equations
  37. Ex 4:  Solving Rational Equations
  38. Ex 5:  Solving Rational Equations
  39. Ex: Solve Rational Equations - Alternative Method
  40. Rational Equation Applications I
  41. Rational Equation Applications II
  42. Ex 1:  Rational Equation Application - Painting Together
  43. Ex 2:  Rational Equation Application - Fill a Pool with Drain Open
  44. Ex 3:  Rational Equation Application - Plane and Car Travelling the Same Time
  45. Ex 4:  Rational Equation Application - Two Bikers Riding Different Distances
  46. Direct Variation
  47. Inverse Variation
  48. Direct and Inverse Variation
  49. Ex 1:  Inverse Variation
  50. Ex 2:  Inverse Variation - Change of Variables
  51. Ex 3:  Inverse Variation - Fractional Variation Constant
  52. Ex:  Inverse Variation Application - Number of Workers and Job Time
  53. Ex:  Inverse Variation Application - Loudness and Distance
  54. Ex 1:  Solving Rational Inequalities
  55. Ex 2:  Solving Rational Inequalities
  56. Ex 3:  Solving Rational Inequalities
  57. Ex 4:  Solving Rational Inequalities

Exponential and Logarithmic Expressions, Equations, and Functions

  1. Composite Functions
  2. Ex 1:  Composite Function Values
  3. Ex 2:  Composite Function Values
  4. Ex 1:  Composition of Functions
  5. Ex 1:  Domain of a Composite Function
  6. Ex 2:  Domain of a Composite Function
  7. Ex 3:  Domain of a Composite Function
  8. Ex 4:  Domain of a Composite Function
  9. Graphing Exponential Functions
  10. Ex:  Determine Exponential Graphs that Have Specific Characteristics - y = ab^x
  11. Ex:  Match Exponential Functions to Graphs
  12. Ex: Exponential Application Solved Using a Graphing Calculator
  13. Compounded and Continuous Interest
  14. Inverse Functions
  15. Ex:  Function and Inverse Function Values
  16. Ex 1:  Determine If Two Functions Are Inverses
  17. Ex 2:  Determine  If Two Functions Are Inverses
  18. Ex 1:  Find the Inverse of a Function
  19. Ex 2:  Find the Inverse of a Function
  20. Introduction to Logarithms
  21. Ex:  Write Exponential Equations as Logarithmic Equations
  22. Ex:  Write Logarithmic Equations as Exponential Equations
  23. Ex:  Write Exponential Equations with base 10 as Common Logarithmic Equations
  24. Ex:  Write Exponential Equations as Logarithmic Equations - Natural Logarithms
  25. Ex:  Evaluate Common Logarithms on the Calculator        
  26. Ex:  Evaluate Natural Logarithms on the Calculator
  27. Ex:  Graph an Exponential Function and Logarithmic Function
  28. Ex 1:  Match Graphs with Exponential and Logarithmic Functions
  29. Ex 2:  Match Graphs with Exponential and Logarithmic Functions - Base 10 and e
  30. Ex:  Vertical Asymptotes and Domain of Logarithmic Functions
  31. Ex:  Find the Domain of Logarithmic Functions
  32. Properties of Logarithms
  33. Ex 1:  Expand Logarithmic Expressions
  34. Ex 2:  Expand Logarithmic Expressions
  35. Ex 1:  Combine a Logarithmic Expression Into One Logarithm
  36. Ex 2:  Combine a Logarithmic Expression Into One Logarithm
  37. Ex 1:  Evaluate a Logarithmic Expression Using the Properties of Logarithms
  38. Ex 2:  Evaluate a Logarithmic Expression Using the Properties of Logarithms
  39. Ex:  Simplify Log Expression with the Base and Base of the Number are the Same
  40. Ex:  Evaluate Exponential Expressions with Logarithmic Exponents
  41. Logarithm Review
  42. Logarithms: Change of Base Formula
  43. Ex:  Change of Base Formula to Evaluate Logarithmic Expressions
  44. Ex:  Change of Base Formula to Solve Basic Exponential Equations
  45. Solving Logarithmic Equations
  46. Ex 1:  Solve Basic Logarithmic Equations
  47. Ex 2:  Solve Logarithmic Equations
  48. Ex 3:  Solve Logarithmic Equations - Base and Number are the Same
  49. Ex 1:  Solve Logarithmic Equations
  50. Ex 2:  Solve Logarithmic Equations
  51. Ex 3:  Solve Logarithmic Equations
  52. Ex:  Solve a Logarithmic Equation - Composite Log Expression
  53. Ex:  Solve a Logarithmic Equation in Terms of Other Variables
  54. Ex:  Logarithmic Function Application - Test Scores
  55. Ex:  Logarithm Application - pH        
  56. Ex:  Exponential Function Application with Logarithms
  57. Solving Exponential Equations by Obtaining a Common Base
  58. Ex 1:  Solve Exponential Equations Using Like Bases - No Logarithms
  59. Ex 2:  Solve Exponential Equations Using Like Bases - No Logarithms
  60. Ex 3:  Solve Exponential Equations Using Like Bases - No Logarithms
  61. Ex 4:  Solve Exponential Equations Using Like Bases - No Logarithms
  62. Ex 5:  Solve Exponential Equations Using Like Bases - No Logarithms
  63. Ex 6:  Solve Exponential Equations Using Like Bases - No Logarithms
  64. Ex:  Solve an Exponential Equation Graphically on the TI84
  65. Solving Exponential Equations Using Logarithms
  66. Ex 1:  Solve Exponential Equations Using Logarithms
  67. Ex 2:  Solve Exponential Equations Using Logarithms
  68. Ex 3:  Solve Exponential Equations Using Logarithms
  69. Ex 4:  Solve Exponential Equations Using Logarithms
  70. Ex 5:  Solve Exponential Equations with Two Exponential Parts Using Logarithms
  71. Compounded Interest
  72. Ex 1:  Compounded Interest – Quarterly
  73. Ex 2:  Compounded Interest with Logarithms
  74. Continuous Interest Formula - Derivation
  75. Effective Interest Rate (Effective Yield)
  76. Ex 1:  Continuous Interest
  77. Ex 2:  Continuous Interest with Logarithms
  78. Ex 3:  Continuous Interest with Logarithms and Doubling Time
  79. Exponential Growth:  Part 1, Part 2
  80. Ex:  Use a Given Exponential Growth Function
  81. Ex:  Exponential Growth Function - Population
  82. Ex:  Exponential Growth Function - Bacterial Growth
  83. Exponential Decay:  Part 1, Part 2
  84. Ex:  Exponential Decay Function with Logarithms
  85. Ex:  Exponential Decay Function - Half Life

Graphing

  1. Plotting Points on the Coordinate Plane
  2. Graphing By Plotting Points:  Part 1, Part 2
  3. Graphing by Find Intercepts
  4. Using Slope Intercept Form of a Line
  5. Graphing Horizontal and Vertical Lines
  6. Point Slope Form of  a Line  
  7. Graphing Cubic Functions
  8. Graphing Nonlinear Functions
  9. Graphing Quadratic Functions in General Form
  10. Graphing Quadratic Functions in Standard Form
  11. Ex:  Quadratic Function Review
  12. Ex:  Find the Equations of a Quadratic Function from the Graph
  13. Graphing the Basic Square Root Function
  14. Ex 1:  Graphing a Transformation of the Square Root Function
  15. Ex 2:  Graphing a Transformation of the Square Root Function
  16. Graphing Rational Functions
  17. Interpreting and Graphing Piecewise Functions
  18. Graphing Piecewise Defined Function by Hand and on the Calculator
  19. Ex:  Graph an Absolute Value Function Using a Table of Values
  20. Ex:  Graph a Square Root Function Using a Table of Values
  21. Ex:  Graph a Quadratic Function Using a Table of Values
  22. Ex:  Graph a Cubic Function Using a Table of Values
  23. Symmetry Introduction:  x-axis, y-axis, the origin
  24. Ex:  Symmetry:  x-axis, y-axis, the origin
  25. Ex 1:  Solve Equations and Inequalities Expressed Using Function Notation Graphically
  26. Ex 2:  Solve Equations and Inequalities Expressed Using Function Notation Graphically


Function Transformations

  1. Horizontal and Vertical Stretches and Compressions
  2. Vertical and Horizontal Translations or Shifts
  3. Reflections across the x-axis and y-axis
  4. Reflections of the Square Root Function
  5. Horizontal and Vertical Shifts of the Square Root Function
  6. Horizontal and Vertical Stretches and Compressions of the Square Root Function
  7. Function Transformation Summary - The Square Root Function
  8. Summary of Function Transformations
  9. Ex 1:  Find the Equation of a Transformed Square Root Function
  10. Ex 2:  Find the Equation of a Transformed Square Root Function
  11. Ex 1:  Graphing a Transformation of the Square Root Function
  12. Ex 2:  Graphing a Transformation of the Square Root Function
  13. Graphing Multiple Function Transformations Part 1 of 2
  14. Graphing Multiple Function Transformations Part 2 of 2

Sequences and Series

  1. Introduction to Sequences
  2. Arithmetic Sequences
  3. Geometric Sequences
  4. Arithmetic Series
  5. Sequences on the TI84 Graphing Calculator
  6. Geometric Series
  7. Infinite Geometric Series
  8. Mathematical Induction
  9. Sequences and Series on the TI84
  10. The Binomial Theorem Using Pascal’s Triangle

Matrices

  1. Introduction to Augmented Matrices
  2. Augmented Matrices:  Row Echelon Form
  3. Augmented Matrices:  Reduced Row Echelon Form
  4. Augmented Matrices on the Graphing Calculator
  5. Matrix Addition, Subtraction and Scalar Multiplication
  6. Matrix Multiplication
  7. Matrix Multiplication on the Graphing Calculator
  8. Animation:  Matrix Multiplication
  9. The Identity Matrix
  10. 2 x 2 Inverse Matrix Formula
  11. Inverse Matrices Using Augmented Matrices
  12. Inverse Matrices on the Graphing Calculator
  13. Matrix Equations
  14. Determinants
  15. Determinants on the Graphing Calculator
  16. Cramer’s Rule
  17. Area Using Determinants

Counting and Probability

  1. The Counting Principle
  2. Permutations
  3. Combinations
  4. Solving Counting Problems
  5. Introduction to Probability
  6. Determining Probability
  7. Probability of a Union of Events
  8. Conditional Probability
  9. The Binomial Theorem using Combinations

Conic Sections

  1. Introduction to Conic Sections
  2. Conic Sections:  The Circle
  3. Conic Sections:  The Ellipse part 1 of 2
  4. Conic Sections:  The Ellipse part 2 of 2
  5. Conic Sections:  The Parabola part 1 of 2
  6. Conic Sections:  The Parabola part 2 of 2
  7. Conic Sections:  The Hyperbola part 1 of 2
  8. Conic Sections:  The Hyperbola part 2 of 2
  9. Determining the Type of Conic Section from General Form

Set Theory

  1. Introduction to Set Theory
  2. Introduction to Subsets
  3. Set Operations and Venn Diagrams - Part 1 of 2
  4. Set Operations and Venn Diagrams - Part 2 of 2
  5. Solving Problems Using Venn Diagrams

Regression

  1. Introduction to Regression Analysis
  2. Linear Regression – Example 1, Example 2
  3. Quadratic Regression – Example 1, Example 2
  4. Exponential Regression – Example 1, Example 2
  5. Logarithmic Regression
  6. Logistic Regression

Financial Mathematics

  1. Simple Interest Formula
  2. Compounded and Continuous Interest
  3. Effective Yield
  4. Effective Yield on the TI84
  5. Determining the Value of an Annuity
  6. Determining the Value of an Annuity Using the TI84
  7. Determining the Monthly Saving Required to Reach a Financial Goal
  8. Determining the Monthly Saving Required to Reach a Financial Goal on the TI84
  9. Determining the Monthly Payments for a Loan
  10. Determining the Monthly Payments for a Loan on the TI84
 

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