Whole Numbers Operations
Place Value and Writing Numbers
Whole Numbers: Place Value and Expanded Form
Ex: Identifying Whole Numbers on the Number Line
Ex: Determining Place Value
Ex: Write a Whole Number in Digits from Words
Ex: Numbers Less Than and Greater a Given Value
Adding and Subtracting Whole Number
Model Addition of Two Digit Whole Numbers Using Base Ten Blocks
Model Addition of Three Digit Whole Numbers Using Base Ten Blocks
Adding Whole Numbers
Example: Adding Whole Numbers
Model Subtraction of Two Digit Whole Numbers Using Base Ten Blocks
Model Subtraction of Three Digit Whole Numbers Using Base Ten Blocks
Subtracting Whole Numbers
Example: Subtracting Whole Numbers
Multiplying and Dividing Whole Numbers
Multiplying Whole Numbers
Lattice Multiplication - Whole Number Multiplication
Alternative Method for Multiplying Whole Numbers
Example: Multiplying Whole Numbers
Dividing Whole Numbers
Partial Quotients - Dividing Whole Numbers
Example: Dividing Whole Numbers without a Remainder
Example: Dividing Whole Numbers with a Remainder
Rounding and Estimating with Whole Numbers
Examples: Rounding Whole Numbers
Estimating Addition and Subtraction Problems Involving Whole Numbers
Estimating Multiplication and Division Problems Involving Whole Numbers
Solving Equations with Whole Numbers
Solving Equations by Addition and Subtraction
Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)
Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)
Solving Equations by Multiplying and Dividing
Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)
Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)
Exponents and Order of Operations
Order of Operations with Whole Numbers
Ex: Evaluate an Expressing Using the Order of Operations
Ex: Evaluate Expressions - Square of a Sum and the Sum of Squares
Examples: Evaluate Exponential Expressions
Ex: Evaluate Exponential Expression
Example 1: Evaluate An Expression Using The Order of Operations
Example 2: Evaluate An Expression Using The Order of Operation
Example 3: Evaluate An Expression Using The Order of Operation
Factors and Prime Factorization
Exponential Notation
Example: Write Repeated Multiplication in Exponential Form
Ex 1: Determine Factors of a Number
Ex 2: Determine Factors of a Number
Ex 3: Determine Factors of a Number
Ex 1: Prime Factorization
Ex 2: Prime Factorization
Ex 3: Prime Factorization
Ex 1: Prime Factorization Using Stacked Division
Ex 2: Prime Factorization Using Stacked Division
Examples: Writing Variable Expressions
Examples Part 1: Evaluating Variable Expressions
Examples Part 2: Evaluating Variable Expressions
Whole Number Applications
Problem Solving: Adding and Subtracting Whole Numbers
Problem Solving Using Whole Number Operations
Example: Determining the Square Footage of a House
Example 1: Solve a Problem using Distance = Rate x Time
Example 2: Solve a Problem using Distance = Rate x Time
Ex: Determine the Perimeter of a Rectangle Involving Whole Numbers
Ex: Determine the Area of a Rectangle Involving Whole Numbers
Ex: Find the Area of an L-Shaped Polygon Involving Whole Numbers
Ex: Find the Perimeter of an L-shaped Polygon Involving Whole Numbers
Ex: Determine the Length of a Missing Side Given the Perimeter
Ex: Find the Area of a Rectangle Given the Perimeter
Example of Problem Solving With Whole Numbers: Age Problems
Ex: Algebraic Expression Application - Credit Card Balance
Ex: Linear Equation Application with One Variable - Number Problem
Example of Problem Solving Comparing Purchase versus Rent To Own Cost
Integers
Introduction to Integers
Ex: Determine the Opposites of Integers
Ex: Simplifying the Opposites of Negatives Integers
Ex: Comparing Integers Using Inequalities
Ex: Comparing Absolute Value of Integers
Ex: Order Integers from Least to Greatest
Ex: Integer Application: Feet Below Sea Level
Adding and Subtracting Integers
Adding Integers Using Algebra Tiles
Adding Integers Using a Number Line
Adding Integers Using the Money Analogy
Adding Integers Using Formal Rules
Adding Integers - long version
Ex 1: Adding Integers
Ex 2: Adding Integers
Ex 3: Adding Integers (Two Digit Integers)
Ex: Adding Three or More Integers
Example: Problem Solving Using Integers (Golf Score)
Subtracting Integers – The Basics
Subtracting Integers
Ex 1: Subtracting Integers
Ex 2: Subtracting Integers (Two Digit Integers)
Ex: Integer Application: Overdrawn Checking Account
Multiplying and Dividing Integers
Multiplying Integers – The Basics
Discover the Rules for Multiplying Integers by Analyzing Patterns
Discover the Rules of Multiplying Integers Using Opposites and The Commutative Property
Ex: Multiplying Integers
Ex: Multiplying Three or More Integers
Multiplying Three or More Integers
Multiplying and Dividing Integers – long version
Multiplying and Dividing Integers – new version
Example: Problem Solving Using Integers (Stock Gain/Loss)
Dividing Integers – The Basics
Ex: Dividing Integers
Multiplying and Dividing by Zero
Evaluating Expressions using Integers
Examples: Evaluating Negative Numbers Raised to Powers
Order of Operations
Ex: Evaluate Expressions Involving Integer Addition
Ex: Evaluate a Sum of Integers Raised to a Power
Ex 1: Evaluate Expressions Involving Integer Subtraction
Ex 2: Evaluate Expressions Involving Integer Subtraction
Ex: Evaluate an Expression Involving Integer Operations
Ex: Simplify an Expression With Integers Using the Order of Operations
Ex 1: Simplify Expressions Involving Integers Using the Order of Operations
Ex 2: Simplify Expressions Involving Integers Using the Order of Operations
Ex 3: Simplify Expressions Involving Integers Using the Order of Operations
Ex 4: Simplify Expressions Involving Integers Using the Order of Operations
Ex 5: Simplify Expressions Involving Integers Using the Order of Operations
Ex 6: Simplify Expressions Involving Integers Using the Order of Operations
Ex 7: Simplify Expressions Involving Integers Using the Order of Operations
Variables and Variable Expressions
Introduction to Variables and Variable Expressions
Combining Like Terms
Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Solving One-Step and Two-Step Equations
Ex: Solving One Step Equation by Add/Subtracting Integers (Var on Left)
Ex: Solving One Step Equation by Add/Subtracting Integers (Var on Right)
Ex: Solving One Step Equation by Mult/Div. Integers (Var on Left)
Ex: Solving One Step Equation by Mult/Div. Integers (Var on Right)
Ex: Solving One Step Equation in the Form: -x = a
Ex 1: Solving Two-Step Equations Using Integers
Ex 2: Solving Two-Step Equations Using Integers
Fractions
Factors, Prime Factors, and Least Common Factors
Divisibility Rules
Factors
Least Common Multiple (new)
Least Common Multiple
Ex: Least Common Multiple Using a List of Multiples
Ex: Least Common Multiple Using Prime Factorization
Greatest Common Factor
Ex: Determine the Greatest Common Factor
Introduction to Fractions
Ex: Determine the Fraction Modeled
Ex: Identify a Fraction on a Number Line
Ex 1: Determine Equivalent Fractions to a Given Fraction
Ex 2: Determine an Equivalent Fraction with a Specific Denominator
Ex: Identify Fractions of an Inch on a Ruler
Ex: Measure Lengths in Inches - Mixed Numbers and Improper Fractions
Ex: Measure Lengths in Centimeters - Decimal Notation and Mixed Numbers
Simplifying Fractions
Ex 1: Simplifying Fractions
Ex 2: Simplifying Fractions
Ex 3: Simplifying Fractions With Variables
Multiplying and Dividing Fractions
Multiplying Fractions - Positive Only
Multiplying Signed Fractions
Modeling Multiplying Fractions Using Copies
Multiplying Fraction (old)
Example: Multiplication Involving Fractions (Positive)
Ex: Multiplying Signed Fractions
Ex: Find the Product of Three Fractions
Ex: Multiplying Three Signed Fractions
Ex: Multiplying Fractions with Variables
Ex: Multiplying Signed Fractions Containing Variables
Ex: Fractions Raised to a Powers
Ex: Negative Fractions Raised to Powers
Dividing Fraction - Positive Only
Dividing Signed Fractions
Understanding Dividing by a Fraction
Division Involving Fractions - Alternative Method
Ex1: Division Involving Fractions - Compare Alternative and Traditional Methods
Ex2: Division Involving Fractions - Compare Alternative and Traditional Methods
Ex3: Division Involving Fractions - Compare Alternative and Traditional Methods
Ex4: Division Involving Signed Fractions - Compare Alternative and Traditional Methods
Ex5: Division Involving Mixed Numbers - Compare Alternative and Traditional Methods
Dividing Fractions (old)
Ex 1: Division Involving Fractions
Ex 2: Division Involving Fractions
Ex 1: Dividing Signed Fractions
Ex 2: Dividing Signed Fractions
Ex: Dividing Signed Fractions Containing Variables
Ex: Evaluate a Complex Fraction
Ex: Division Involving Three Fractions
Ex: Dividing Fractions Application
Ex 1: Simplify a Complex Fraction (No Variables)
Ex 2: Simplify a Complex Fraction (Variables)
Ex 3: Simplify a Complex Fraction (Variables)
Ex 4: Simplify a Complex Fraction (Variables)
Ex 5: Simplify a Complex Fraction (Variables)
Ex 6: Simplify a Complex Fraction (Variables)
Ex 7: Simplify a Complex Fraction (Variables)
Adding and Subtracting Fractions
Adding Fractions Introduction (Positive)
Adding Signed Fractions
Ex: Add Fractions with Like Denominators
Ex 1: Adding Fractions with Different Denominators
Ex 2: Adding Fractions with Different Denominators
Ex 1: Adding Signed Fractions
Ex 2: Adding Signed Fractions
Subtracting Fractions Introduction - Positive Only
Ex: Subtract Fractions with Like Denominators
Subtracting Signed Fractions
Adding / Subtracting Fractions
Ex: Subtract Fractions with Unlike Denominators
Ex 1: Subtracting Signed Fractions
Ex 2: Subtracting Signed Fractions
Ex: Add and Subtract Fractions Containing Variables
Ex: Compare Fractions with Unlike Denominators using Inequality Symbols
Ex: Ordering Fractions with Unlike Denominators from Least to Greatest
Introduction to Improper Fractions and Mixed Numbers
Improper Fractions and Mixed Numbers
Ex: Converting a Mixed Number to an Improper Fraction
Ex: Convert an Improper Fraction to a Mixed Number
Converting Between Improper Fractions and Mixed Number on the TI84
Multiplying and Dividing Mixed Numbers
Ex 1: Multiplication Involving Mixed Numbers
Ex 2: Multiplication Involving Mixed Numbers
Ex 1: Multiplying Signed Mixed Number
Ex 2: Multiplying Signed Mixed Number
Ex: Division Involving Mixed Numbers
Ex: Dividing Signed Mixed Numbers
Adding and Subtracting Mixed Numbers
Adding Mixed Numbers
Ex: Add Mixed Numbers with Like Denominators
Ex: Adding Mixed Numbers
Subtracting Mixed Numbers
Ex: Subtraction of Mixed Numbers
Ex: Subtract Mixed Numbers Using Improper Fractions
Ex: Subtract Mixed Numbers with Like Denominators
Fractions on the Graphing Calculator
Multiplying and Dividing Fraction on the TI84
Adding and Subtracting Fractions on the TI84
Order of Operations with Fractions
Order of Operations Involving Fractions
Ex 1: Signed Fractions: Order of Operations
Ex 2: Signed Fractions: Order of Operations
Ex 3: Signed Fractions: Order of Operations
Ex 4: Signed Fractions: Order of Operations
Ex 5: Signed Fractions: Order of Operations
Ex 6: Signed Fractions: Order of Operations
Order of Operations Involving Mixed Numbers
Ex 1: Simplifying Expressions Involving Mixed Numbers
Ex 2: Simplifying Expressions Involving Mixed Numbers
Ex 3: Simplifying Expressions Involving Mixed Numbers
Ex 4: Simplifying Expressions Involving Mixed Numbers
Fraction Applications
Ex: Area of a Triangle Involving Fractions
Ex 1: Application Involving Fraction Multiplication
Ex 2: Application Involving Fraction Multiplication
Ex: Recipe Application: Multiplication of Mixed Number
Ex 1: Application Involving Fraction Division
Ex 2: Application Involving Fraction Division
Ex 1: Application Involving Mixed Number Multiplication (fabric cost)
Ex 2: Application Involving Mixed Number Multiplication (recipe)
Ex 3: Application Involving Mixed Number Multiplication (gas mileage)
Fraction Application - Determining Horsepower
Fraction Application – Surface Area and Weight of a Tank
Complex Fraction Application - Total Resistance of a Parallel Circuit
Decimals
Introduction to Decimals
Introduction to Decimal Notation
Ex: Write a Number in Decimal Notation from Words
Ex: Comparing Decimals with Inequality symbols
Ex 1: Determine What Two Decimals a Given Number is Between
Ex 2: Determine What Two Decimals a Given Number is Between
Ex 1: Convert a Decimal to a Fraction
Ex 2: Convert a Decimal to a Fraction
Ex: Identify Decimals on the Number Line
Ex 1: Ordering Decimals from Least to Greatest
Ex 2: Ordering Decimals from Least to Greatest
Ex: Order Fractions and Decimals From Least to Greatest
Ex: Rounding Decimals
Ex: Writing a Decimal as a Simplified Fraction
Adding and Subtracting Decimals
Ex: Addition of Decimals
Ex: Adding Three Decimals
Ex: Add a Whole Number and a Decimal
Ex: Adding Signed Decimals
Ex: Addition of a Fraction and a Decimal
Ex: Subtraction of Decimals
Ex: Subtract a Decimal from a Whole Number (Positive Result)
Ex 1: Subtracting Signed Decimals
Ex 2: Subtracting Signed Decimals
Ex: Subtract a Decimal from a Whole Number (Negative Result)
Ex 1: Simplify an Expressing With Decimals Involving Addition and Subtraction
Ex 2: Simplify an Expressing With Decimals Involving Addition and Subtraction
Ex: Subtraction Involving a Fraction and Decimal
Ex: Using Decimals To Determine the Perimeter of a Polygon
Ex: Builder's Level Application - Decimal Addition and Subtraction
Multiplying and Dividing with Decimals
Multiplying by Powers of Ten
Multiplying Decimals
Ex 1: Multiplication of Decimals
Ex 2: Multiplication of Decimals
Ex: Multiplying Signed Decimals
Dividing Decimals
Dividing by Powers of Ten
Ex: Dividing a Decimal by a Whole Number
Ex: Dividing a Decimal by a Decimal
Ex 2: Divide a Decimal by Another Decimal
Ex: Division by a Decimal with a Repeating Quotient
Ex: Dividing Signed Decimals
Writing Fractions as Decimals
Fraction to Decimal - Write the denominator as a power of 10
Fraction to Decimal - Perform Long Division
Ex 1: Convert a Fraction to a Decimal (terminating)
Ex 2: Convert a Fraction to a Decimal (terminating)
Ex 3: Convert a Fraction to a Decimal (repeating)
Ex: Compare Fractions and Decimals using Inequality Symbols
Simplify Decimal Expressions
Ex 1: Simplify an Expression Involving Decimals
Ex 2: Simplify an Expression Involving Decimals
Ex 3: Simplify an Expression Involving Signed Decimals
Decimal Applications
Ex: Determine the Area of a Rectangle Using Decimals
Ex: Determine the Area of an L-shaped Polygon Using Decimals
Scientific Notation
Animation: Scientific Notation
Ex: Write a Number in Scientific Notation
Ex: Writing a Number in Decimal Notation When Given in Scientific Notation
Ex: Multiplying Numbers Written in Scientific Notation
Ex: Dividing Numbers Written in Scientific Notation
Ex: Multiply Numbers in Scientific Notation on the TI84
Ex: Divide Numbers in Scientific Notation on the TI84
Square Roots
Introduction to Square Root and Perfect Squares
Ex: Simplifying Square Roots (perfect squares)
Ex: Simplifying Square Roots (not perfect squares)
Ex: Estimating Square Roots with a Calculator
Ex: Estimating Square Roots with the Calculator
The Pythagorean Theorem
Ex: Determine if a Triangle is a Right Triangle Given the Length of 3 Sides
Ex: Determine the Length of the Hypotenuse of a Right Triangle
Ex: Determine the Length of the Leg of a Right Triangle
The Distance Formula
Ex: Determine the Distance Between Two Points (length of segment)
Ratios and Proportions
Ratios and Rates
Ratios
Ex: Write a Ratio as a Simplified Fraction
Ex: Write a Ratios as a Simplified Fractions Involving Decimals and Fractions
Rates and Unit Rates
Ex 1: Determine Unit Rate (MPH)
Ex 2: Determine a Unit Rate in Gallons per Minute
Ex: Unit Rate - Miles Per Gallon (MPG)
Ex: Find the Rate Given Distance and Time (MPH)
Ex: Determine Heart Rate Using Different Units of Time (Unit Rates)
Ex: Determine the Best Buy Using Unit Rate
Proportions
Introduction to Proportions
Ex: Solving Basic Proportions
Ex: Solve a Proportion with One Side Not a Fraction
Ex: Solving Proportions Involving Decimals and Fractions
Ex: Applications Using Proportions
Ex: Proportion Application - Scaling a Recipe
Ex: Proportion Applications – Mixtures
Proportion Applications
Unit Scale
Scale Factor
Percentages
Introduction to Percentages
Introduction to Percent
Ex 1: Relating Fractions, Decimals, and Percents
Ex 2: Relating Fractions, Decimals, and Percents
The Percent Equation
Ex 1: Solve a Percent Problem Using a Percent Equation
Ex 2: Solve a Percent Problem Using a Percent Equation
Ex 3: Solve a Percent Problem Using a Percent Equation
The Percent Proportion
Ex 1: Solve a Percent Problem Using a Percent Proportion
Ex 2: Solve a Percent Problem Using a Percent Proportion
Ex 3: Solve a Percent Problem Using a Percent Proportion
Ex: Find the Original Price Given the Discounted Price
Percent of Change
Ex 1: Determine a Percent of Change (decrease)
Ex 2: Determine a Percent of Change (increase)
Percent Applications
Ex 1: Percent Application Problem
Ex 2: Percent Application Problem
Ex 3: Percent Application Problem
Ex 4: Percent Application Problem
Ex: Find the Sale Tax Percentage
Percent Application - Tipping
Ex: Find the Original Price Given the Discount Price and Percent Off
Simple Interest Formula
Ex: Account Balance Using Simple Interest
Exponents
Properties of Exponents
A Discussion: Zero to the Power of Zero - 0^0
The Zero Exponent
Ex: Write Repeated Multiplication Using Exponents
Ex: Expanding and Evaluating Exponential Notation
Ex: Simplify Exponential Expressions - Product and Power Rule
Ex: Simplify Exponential Expressions - Quotient Rule
Ex 1: Simplify Exponential Expressions - Positive Exponents Only
Ex 2: Simplify Exponential Expressions - Positive Exponents Only
Ex 3: Simplify Exponential Expressions - Positive Exponents Only
Order of Operations – The Basics
Evaluating Expressions Using the Order of Operations
Introduction to the Distributive Property
Using the Distributive Property to Multiply
Ex: Evaluate a Variable Expression with Exponents and Fractions
Ex: Evaluate a Variable Expression with Parentheses
Ex: Evaluate Exponential Expressions
Ex 1: Evaluate An Expression Using The Order of Operations
Ex 2: Evaluate An Expression Using The Order of Operation
Ex 3: Evaluate An Expression Using The Order of Operation
Measurement and Data
American or Standard Units
American Unit Conversions
Ex: Determine Square Yards from Square Feet Application
Ex: Converting Between Different Units of Volume in Standard or American System
Ex: Converting Between Different Units of Weight in Standard or American System
Ex: Convert Between Different Units of Lengths Using Standard or American System
Ex: Convert Feet Per Second to Miles Per Hour
Ex: Convert Mile Per Hour to Feet Per Second
Ex: Convert Yards Per Second to Miles Per Hour
Ex: Unit Conversion / Proportion Application - Cost of Carpet
Metric Units
Metric Unit Conversions
Ex: Converting Between Metric Units
Ex: Metric Conversions Using Unit Fractions - Length
Ex: Metric Conversions Using Unit Fractions - Volume / Capacity
Ex: Metric Conversions Using Unit Fractions - Weight
Converting Between Standard and Metric Units
American to Metric and Metric to American Conversions
Ex: Convert Lengths Between the Standard and Metric System
Ex: Convert Weight Between the Standard and Metric System
Ex: Convert Volume Between the Standard and Metric System
Ex: Convert Height in Feet and Inches to Inches, Centimeters, and Meters
Equations to convert between Celsius and Fahrenheit
Ex: Convert Temperature from Celsius to Fahrenheit
Ex: Convert Temperature from Fahrenheit to Celsius
Time Conversions
Unit Scale and Scale Factor
Mean, Median, and Mode
Circle Graphs or Pie Charts: Part 1, Part 2
Ex: Determine the Mean of a Data Set
Ex: Find a Score Needed for a Specific Average
Ex: Determine the Median of a Data Set
Ex: Determine the Mode of a Data Set
Geometry
Area
Area and Perimeter Formulas
Ex: Area of a Parallelogram (Whole Numbers)
Ex: Area of a Trapezoid Using Whole Numbers
Ex: Area of a Triangle (Whole Numbers)
Ex: Area of a Trapezoid Using Mixed Numbers
Ex: Determine the Area of a Rectangle Using Mixed Numbers
Ex: Area of a Walkway Around a Rectangle
Ex: Determine the Area of a Circle
Ex: Find the Area of a Ring or Area Between Two Circles
Ex: Determine an Area Involving a Rectangle and Circle
Perimeter
Ex: Using Decimals To Determine the Perimeter of a L-shaped Polygon
Ex: Determine the Perimeter of a Rectangle using Mixed Numbers
Ex: Determine the Circumference of a Circle
Ex: Determine Perimeter Involving a Rectangle and Circle
Volume / Surface Area / Misc
Ex: Determine Volume of a Cone
Ex: Find the Surface Area of an Open Top Box
Geometric Applications
Ex: Perimeter Application - Linear Feet of Baseboard Needed for a Room
Ex: Area Application - Area of an Inner Room with a Outer Footing
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