Whole Numbers Operations

  1. Whole Numbers:  Place Value and Expanded Form


  2. Ex:  Identifying Whole Numbers on the Number Line


  3. Ex:  Determining Place Value


  4. Ex:  Write a Whole Number in Digits from Words


  5. Ex: Numbers  Less Than and Greater a Given Value


  6. Adding Whole Numbers


  7. Example:  Adding Whole Numbers


  8. Subtracting Whole Numbers


  9. Example:  Subtracting Whole Numbers


  10. Multiplying Whole Numbers


  11. Example:  Multiplying Whole Numbers


  12. Dividing Whole Numbers


  13. Example:  Dividing Whole Numbers without a Remainder


  14. Example:  Dividing Whole Numbers with a Remainder


  15. Order of Operations with Whole Numbers


  16. Examples:  Rounding Whole Numbers


  17. Estimating Addition and Subtraction Problems Involving Whole Numbers


  18. Estimating Multiplication and Division Problems Involving Whole Numbers


  19. Solving Equations by Addition and Subtraction


  20. Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)


  21. Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)


  22. Solving Equations by Multiplying and Dividing


  23. Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)


  24. Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)


  25. Example:  Write Repeated Multiplication in Exponential Form


  26. Ex 1:  Determine Factors of a Number


  27. Ex 2:  Determine Factors of a Number


  28. Ex 3:  Determine Factors of a Number


  29. Ex 1:  Prime Factorization


  30. Ex 2:  Prime Factorization


  31. Ex 3:  Prime Factorization


  32. Examples:  Evaluate Exponential Expressions


  33. Ex:  Evaluate Exponential Expression


  34. Example 1:  Evaluate An Expression Using The Order of Operations


  35. Example 2:  Evaluate An Expression Using The Order of Operation


  36. Example 3:  Evaluate An Expression Using The Order of Operation


  37. Examples:  Writing Variable Expressions


  38. Examples Part 1:  Evaluating Variable Expressions


  39. Examples Part 2:  Evaluating Variable Expressions


Whole Number Applications

  1.  Problem Solving:  Adding and Subtracting Whole Numbers
  2. Problem Solving Using Whole Number Operations
  3. Example:  Determining the Square Footage of a House
  4. Example 1:  Solve a Problem using Distance = Rate x Time
  5. Example 2:  Solve a Problem using Distance = Rate x Time
  6. Ex:  Determine the Perimeter of a Rectangle Involving Whole Numbers
  7. Ex:  Determine the Area of a Rectangle Involving Whole Numbers
  8. Ex:  Find the Area of an L-Shaped Polygon Involving Whole Numbers
  9. Ex: Find the Perimeter of an L-shaped Polygon Involving Whole Numbers
  10. Ex:  Determine the Length of a Missing Side Given the Perimeter
  11. Example of Problem Solving With Whole Numbers:  Age Problems
  12. Ex:  Linear Equation Application with One Variable - Number Problem
  13. Ex:  Algebraic Expression Application - Credit Card Balance
  14. Ex:  Linear Equation Application with One Variable - Number Problem
  15. Example of Problem Solving Comparing Purchase versus Rent To Own Cost

Integers

  1. Introduction to Integers
  2. Ex:  Determine the Opposites of Integers
  3. Ex:  Simplifying the Opposites of Negatives Integers
  4. Ex:  Comparing Integers Using Inequalities
  5. Ex:  Comparing Absolute Value of Integers
  6. Ex:  Order Integers from Least to Greatest
  7. Ex:  Integer Application:  Feet Below Sea Level
  8. Adding Integers Using Algebra Tiles
  9. Adding Integers Using a Number Line
  10. Adding Integers Using the Money Analogy
  11. Adding Integers Using Formal Rules
  12. Adding Integers - long version
  13. Ex 1:  Adding Integers
  14. Ex 2:  Adding Integers
  15. Ex 3:  Adding Integers (Two Digit Integers)
  16. Ex:  Adding Three or More Integers
  17. Example:  Problem Solving Using Integers (Golf Score)
  18. Subtracting Integers – The Basics
  19. Subtracting Integers
  20. Ex 1:  Subtracting Integers
  21. Ex 2:  Subtracting Integers (Two Digit Integers)
  22. Ex:  Integer Application:  Overdrawn Checking Account
  23. Multiplying Integers – The Basics
  24. Ex:  Multiplying Integers
  25. Ex:  Multiplying Three or More Integers
  26. Multiplying Three or More Integers
  27. Multiplying and Dividing Integers – long version
  28. Multiplying and Dividing Integers – new version
  29. Example:  Problem Solving Using Integers (Stock Gain/Loss)
  30. Dividing Integers – The Basics
  31. Ex:  Dividing Integers
  32. Multiplying and Dividing by Zero
  33. Examples:  Evaluating Negative Numbers Raised to Powers
  34. Order of Operations
  35. Ex:  Evaluate Expressions Involving Integer Addition
  36. Ex:  Evaluate a Sum of Integers Raised to a Power
  37. Ex 1:  Evaluate Expressions Involving Integer Subtraction
  38. Ex 2:  Evaluate Expressions Involving Integer Subtraction
  39. Ex:  Evaluate an Expression Involving Integer Operations
  40. Ex:  Simplify an Expression With Integers Using the Order of Operations
  41. Ex 1:  Simplify Expressions Involving Integers Using the Order of Operations
  42. Ex 2:  Simplify Expressions Involving Integers Using the Order of Operations
  43. Ex 3:  Simplify Expressions Involving Integers Using the Order of Operations
  44. Ex 4:  Simplify Expressions Involving Integers Using the Order of Operations
  45. Ex 5:  Simplify Expressions Involving Integers Using the Order of Operations
  46. Ex 6:  Simplify Expressions Involving Integers Using the Order of Operations
  47. Ex 7:  Simplify Expressions Involving Integers Using the Order of Operations
  48. Introduction to Variables and Variable Expressions
  49. Combining Like Terms
  50. Simplifying Algebraic Expressions
  51. Evaluating Algebraic Expressions
  52. Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Left)
  53. Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Right)
  54. Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Left)
  55. Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Right)
  56. Ex:  Solving One Step Equation in the Form:  -x = a
  57. Ex 1:  Solving Two-Step Equations Using Integers
  58. Ex 2:  Solving Two-Step Equations Using Integers

Fractions

  1. Divisibility Rules
  2. Ex 1:  Prime Factorization
  3. Ex 2:  Prime Factorization
  4. Ex 3:  Prime Factorization
  5. Factors
  6. Ex 1:  Determine Factors of a Number
  7. Ex 2:  Determine Factors of a Number
  8. Ex 3:  Determine Factors of a Number
  9. Least Common Multiple (new)
  10. Least Common Multiple
  11. Ex:  Least Common Multiple Using a List of Multiples
  12. Ex:  Least Common Multiple Using Prime Factorization
  13. Greatest Common Factor
  14. Ex:  Determine the Greatest Common Factor
  15. Introduction to Fractions
  16. Ex:  Determine the Fraction Modeled
  17. Ex:  Identify a Fraction on a Number Line
  18. Ex 1:  Determine Equivalent Fractions to a Given Fraction
  19. Ex 2:  Determine an Equivalent Fraction with a Specific Denominator
  20. Simplifying Fractions
  21. Ex 1:  Simplifying Fractions
  22. Ex 2:  Simplifying Fractions
  23. Ex 3:  Simplifying Fractions With Variables
  24. Multiplying Fractions - Positive Only
  25. Multiplying Signed Fractions
  26. Multiplying Fraction (old)
  27. Example:  Multiplication Involving Fractions (Positive)
  28. Ex:  Multiplying Signed Fractions
  29. Ex:  Multiplying Three Fractions
  30. Ex:  Multiplying Three Signed Fractions
  31. Ex:  Multiplying Fractions with Variables
  32. Ex:  Multiplying Signed Fractions Containing Variables
  33. Ex:  Fractions Raised to a Powers
  34. Ex:  Negative Fractions Raised to Powers
  35. Dividing Fraction - Positive Only
  36. Dividing Signed Fractions
  37. Dividing Fractions (old)
  38. Ex 1:  Division Involving Fractions
  39. Ex 2:  Division Involving Fractions
  40. Ex 1:  Dividing Signed Fractions
  41. Ex 2:  Dividing Signed Fractions
  42. Ex:  Dividing Signed Fractions Containing Variables
  43. Ex:  Evaluate a Complex Fraction
  44. Ex:  Division Involving Three Fractions
  45. Ex:  Dividing Fractions Application
  46. Adding Fractions Introduction (Positive)
  47. Adding Signed Fractions
  48. Ex:  Adding Fractions with Like Denominators
  49. Ex 1: Adding Fractions with Different Denominators
  50. Ex 2: Adding Fractions with Different Denominators
  51. Ex 1:  Adding Signed Fractions
  52. Ex 2:  Adding Signed Fractions
  53. Subtracting Fractions Introduction - Positive Only
  54. Ex: Subtracting Fractions with Like Denominators
  55. Subtracting Signed Fractions
  56. Adding / Subtracting Fractions
  57. Ex:  Subtract Fractions with Unlike Denominators
  58. Ex 1:  Subtracting Signed Fractions
  59. Ex 2:  Subtracting Signed Fractions
  60. Ex:  Add and Subtract Fractions Containing Variables
  61. Ex:  Compare Fractions with Unlike Denominators using Inequality Symbols
  62. Ex:  Ordering Fractions with Unlike Denominators from Least to Greatest
  63. Improper Fractions and Mixed Numbers
  64. Ex:  Converting a Mixed Number to an Improper Fraction
  65. Ex: Convert an Improper Fraction to a Mixed Number
  66. Converting Between Improper Fractions and Mixed Number on the TI84
  67. Multiplying and Dividing Mixed Numbers
  68. Ex 1:  Multiplication Involving Mixed Numbers
  69. Ex 2:  Multiplication Involving Mixed Numbers
  70. Ex 1:  Multiplying Signed Mixed Number
  71. Ex 2:  Multiplying Signed Mixed Number
  72. Ex:  Division Involving Mixed Numbers
  73. Ex:  Dividing Signed Mixed Numbers
  74. Adding Mixed Numbers
  75. Ex:  Add Mixed Numbers with Like Denominators
  76. Ex:  Adding Mixed Numbers
  77. Subtracting Mixed Numbers
  78. Ex:  Subtraction of Mixed Numbers
  79. Ex:  Subtract Mixed Numbers Using Improper Fractions
  80. Ex:  Subtract Mixed Numbers with Like Denominators
  81. Multiplying and Dividing Fraction on the TI84
  82. Adding and Subtracting Fractions on the TI84
  83. Order of Operations Involving Fractions
  84. Ex 1:  Signed Fractions:  Order of Operations
  85. Ex 2:  Signed Fractions:  Order of Operations
  86. Ex 3:  Signed Fractions:  Order of Operations
  87. Ex 4:  Signed Fractions:  Order of Operations
  88. Ex 5:  Signed Fractions:  Order of Operations
  89. Ex 6:  Signed Fractions:  Order of Operations
  90. Order of Operations Involving Mixed Numbers
  91. Ex 1:  Simplifying Expressions Involving Mixed Numbers
  92. Ex 2:  Simplifying Expressions Involving Mixed Numbers
  93. Ex 3:  Simplifying Expressions Involving Mixed Numbers
  94. Ex 4:  Simplifying Expressions Involving Mixed Numbers
  95. Ex:  Area of a Triangle Involving Fractions
  96. Ex 1:  Application Involving Fraction Multiplication
  97. Ex 2:  Application Involving Fraction Multiplication
  98. Ex:  Recipe Application:  Multiplication of Mixed Number
  99. Ex 1:  Application Involving Fraction Division
  100. Ex 2:  Application Involving Fraction Division
  101. Ex 1:  Application Involving Mixed Number Multiplication (fabric cost)
  102. Ex 2:  Application Involving Mixed Number Multiplication (recipe)
  103. Ex 3:  Application Involving Mixed Number Multiplication (gas mileage)

Decimals

  1. Introduction to Decimal Notation
  2. Ex:  Write a Number in Decimal Notation from Words
  3. Ex:  Comparing Decimals with Inequality symbols
  4. Ex 1:  Determine What Two Decimals a Given Number is Between
  5. Ex 2:  Determine What Two Decimals a Given Number is Between
  6. Ex 1:  Convert a Decimal to a Fraction

  7. Ex 2:  Convert a Decimal to a Fraction
  8. Ex:  Identify Decimals on the Number Line
  9. Ex 1:  Ordering Decimals from Least to Greatest
  10. Ex 2:  Ordering Decimals from Least to Greatest
  11. Ex: Order Fractions and Decimals From Least to Greatest
  12. Ex:  Rounding Decimals
  13. Ex:  Writing a Decimal as a Simplified Fraction
  14. Adding and Subtracting Decimals
  15. Ex:  Addition of Decimals
  16. Ex:  Adding Three Decimals
  17. Ex:  Add a Whole Number and a Decimal
  18. Ex:  Adding Signed Decimals
  19. Ex: Addition of a Fraction and a Decimal
  20. Ex:  Subtraction of Decimals
  21. Ex:  Subtract a Decimal from a Whole Number (Positive Result)
  22. Ex 1:  Subtracting Signed Decimals
  23. Ex 2:  Subtracting Signed Decimals
  24. Ex:  Subtract a Decimal from a Whole Number (Negative Result)
  25. Ex 1:  Simplify an Expressing With Decimals Involving Addition and Subtraction
  26. Ex 2:  Simplify an Expressing With Decimals Involving Addition and Subtraction
  27. Ex:  Subtraction Involving a Fraction and Decimal
  28. Ex: Using Decimals To Determine the Perimeter of a Polygon
  29. Multiplying by Powers of Ten
  30. Multiplying Decimals
  31. Ex 1: Multiplication of Decimals
  32. Ex 2: Multiplication of Decimals
  33. Ex:  Multiplying Signed Decimals
  34. Dividing Decimals
  35. Dividing by Powers of Ten
  36. Ex:  Dividing a Decimal by a Whole Number
  37. Ex:  Dividing a Decimal by a Decimal
  38. Ex 2:  Divide a Decimal by Another Decimal
  39. Ex:  Division by a Decimal with a Repeating Quotient
  40. Ex:  Dividing Signed Decimals
  41. Fraction to Decimal - Write the denominator as a power of 10
  42. Fraction to Decimal - Perform Long Division
  43. Ex 1:  Convert a Fraction to a Decimal (terminating)
  44. Ex 2:  Convert a Fraction to a Decimal (terminating)
  45. Ex 3:  Convert a Fraction to a Decimal (repeating)
  46. Ex:  Compare Fractions and Decimals using Inequality Symbols
  47. Ex 1:  Simplify an Expression Involving Decimals
  48. Ex 2:  Simplify an Expression Involving Decimals
  49. Ex 3:  Simplify an Expression Involving Signed Decimals
  50. Ex:  Determine the Area of a Rectangle Using Decimals
  51. Ex:  Determine the Area of an L-shaped Polygon Using Decimals
  52. Scientific Notation
  53. Animation:  Scientific Notation
  54. Ex:  Write a Number in Scientific Notation
  55. Ex:  Writing a Number in Decimal Notation When Given in Scientific Notation
  56. Ex:  Multiplying Numbers Written in Scientific Notation
  57. Ex:  Dividing Numbers Written in Scientific Notation
  58. Ex:  Multiply Numbers in Scientific Notation on the TI84
  59. Ex:  Divide Numbers in Scientific Notation on the TI84
  60. Introduction to Square Root and Perfect Squares
  61. Ex:  Simplifying Square Roots (perfect squares)
  62. Ex:  Simplifying Square Roots (not perfect squares)
  63. Ex:  Estimating Square Roots with a Calculator
  64. Ex:  Estimating Square Roots with the Calculator
  65. The Pythagorean Theorem
  66. Ex:  Determine if a Triangle is a Right Triangle Given the Length of 3 Sides
  67. Ex:  Determine the Length of the Hypotenuse of a Right Triangle
  68. Ex:  Determine the Length of the Leg of a Right Triangle
  69. The Distance Formula
  70. Ex:  Determine the Distance Between Two Points (length of segment)


Ratios and Proportions

  1. Ratios
  2. Ex:  Write a Ratio as a Simplified Fraction
  3. Ex:  Write a Ratios as a Simplified Fractions Involving Decimals and Fractions
  4. Rates and Unit Rates
  5. Ex 1:  Determine Unit Rate (MPH)
  6. Ex 2:  Determine a Unit Rate in Gallons per Minute
  7. Ex:  Determine the Best Buy Using Unit Rate
  8. Introduction to Proportions
  9. Proportions
  10. Ex:  Solving Basic Proportions
  11. Ex:  Solving Proportions Involving Decimals and Fractions
  12. Ex:  Applications Using Proportions
  13. Proportion Applications
  14. Ex:  Proportion Application - Scaling a Recipe
  15. Unit Scale
  16. Scale Factor

Percentages

  1. Introduction to Percent
  2. Ex 1:  Relating Fractions, Decimals, and Percents
  3. Ex 2:  Relating Fractions, Decimals, and Percents
  4. The Percent Equation
  5. Ex 1:  Solve a Percent Problem Using a Percent Equation
  6. Ex 2:  Solve a Percent Problem Using a Percent Equation
  7. Ex 3:  Solve a Percent Problem Using a Percent Equation
  8. The Percent Proportion
  9. Ex 1:  Solve a Percent Problem Using a Percent Proportion
  10. Ex 2:  Solve a Percent Problem Using a Percent Proportion
  11. Ex 3:  Solve a Percent Problem Using a Percent Proportion
  12. Percent of Change
  13. Ex 1:  Determine a Percent of Change  (decrease)
  14. Ex 2:  Determine a Percent of Change  (increase)
  15. Ex 1:  Percent Application Problem
  16. Ex 2:  Percent Application Problem
  17. Ex 3:  Percent Application Problem
  18. Ex 4:  Percent Application Problem
  19. Percent Application - Tipping
  20. Ex: Find the Sale Tax Percentage
  21. Ex:  Find the Original Price Given the Discount Price and Percent Off
  22. Simple Interest Formula
  23. Ex:  Account Balance Using Simple Interest

Exponents

  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. Scientific Notation
  11. Animation:  Scientific Notation
  12. Ex:  Write a Number in Scientific Notation
  13. Ex:  Writing a Number in Decimal Notation When Given in Scientific Notation
  14. Ex:  Multiplying Numbers Written in Scientific Notation
  15. Ex:  Dividing Numbers Written in Scientific Notation
  16. Ex:  Multiply Numbers in Scientific Notation on the TI84
  17. Ex:  Divide Numbers in Scientific Notation on the TI84
  18. Order of Operations – The Basics
  19. Order of Operations
  20. Introduction to the Distributive Property
  21. Using the Distributive Property to Multiply
  22. Simplifying Algebraic Expressions
  23. Evaluating Algebraic Expressions
  24. Ex:  Evaluate Exponential Expressions
  25. Ex:  Evaluate Exponential Expression
  26. Ex 1:  Evaluate An Expression Using The Order of Operations
  27. Ex 2:  Evaluate An Expression Using The Order of Operation
  28. Ex 3:  Evaluate An Expression Using The Order of Operation
  29. Ex:  Write Repeated Multiplication Using Exponents
  30. Ex:  Expanding and Evaluating Exponential Notation
  31. Ex:  Simplify Exponential Expressions - Product and Power Rule
  32. Ex:  Simplify Exponential Expressions - Quotient Rule
  33. Ex 1:  Simplify Exponential Expressions - Positive Exponents Only
  34. Ex 2:  Simplify Exponential Expressions - Positive Exponents Only
  35. Ex 3:  Simplify Exponential Expressions - Positive Exponents Only

Measurement and Data

  1. American Unit Conversions
  2. Ex:  Determine Square Yards from Square Feet Application
  3. Ex:  Converting Between Different Units of Volume in Standard or American System
  4. Ex:  Converting Between Different Units of Weight in Standard or American System
  5. Ex:  Convert Between Different Units of  Lengths Using Standard or American System
  6. Ex: Convert Feet Per Second to Miles Per Hour
  7. Ex:  Convert Mile Per Hour to Feet Per Second
  8. Ex: Convert Yards Per Second to Miles Per Hour
  9. Ex: Unit Conversion / Proportion Application - Cost of Carpet
  10. Metric Unit Conversions
  11. Ex:  Converting Between Metric Units
  12. American to Metric and Metric to American Conversions
  13. Ex:  Convert Lengths Between the Standard and Metric System
  14. Ex:  Convert Weight Between the Standard and Metric System
  15. Ex:  Convert Volume Between the Standard and Metric System
  16. Ex:  Convert Temperature from Celsius to Fahrenheit
  17. Ex:  Convert Temperature from Fahrenheit to Celsius
  18. Time Conversions
  19. Unit Scale
  20. Scale Factor
  21. Circle  Graphs or Pie Charts:  Part 1, Part 2
  22. Mean, Median, and Mode
  23. Ex:  Determine the Mean of a Data Set
  24. Ex:  Find a Score Needed for a Specific Average
  25. Ex:  Determine the Median of a Data Set
  26. Ex:  Determine the Mode of a Data Set

Geometry

  1. Area and Perimeter Formulas
  2. Ex:  Determine the Area of a Rectangle Involving Whole Numbers
  3. Ex:  Area of a Parallelogram (Whole Numbers)
  4. Ex:  Area of a Trapezoid Using Whole Numbers
  5. Ex:  Find the Area of an L-Shaped Polygon Involving Whole Numbers
  6. Ex:  Area of a Triangle (Whole Numbers)
  7. Ex: Find the Perimeter of an L-shaped Polygon Involving Whole Numbers
  8. Ex:  Determine the Length of a Missing Side Given the Perimeter
  9. Ex: Find the Area of a Rectangle Given the Perimeter
  10. Ex: Using Decimals To Determine the Perimeter of a L-shaped Polygon
  11. Ex:  Determine the Perimeter of a Rectangle using Mixed Numbers
  12. Ex:  Area of a Trapezoid Using Mixed Numbers
  13. Ex:  Determine the Circumference of a Circle
  14. Ex:  Determine Perimeter Involving a Rectangle and Circle
  15. Ex:  Determine the Area of a Rectangle Using Decimals
  16. Ex:  Determine the Area of an L-shaped Polygon Using Decimals
  17. Ex:  Determine the Area of a Rectangle Using Mixed Numbers
  18. Ex:  Area of a Walkway Around a Rectangle
  19. Ex:  Area of a Triangle Involving Fractions
  20. Ex:  Determine the Area of a Circle
  21. Ex:  Find the Area of a Ring or Area Between Two Circles
  22. Ex:  Determine an Area Involving a Rectangle and Circle
  23. Ex:  Determine Volume of a Cone
  24. Ex: Find the Surface Area of an Open Top Box

 

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