- Model Whole Numbers Using Base 10 Block
- Determine a Whole Number Given Base 10 Blocks (Hundreds)
- Regrouping Whole Numbers Using Base 10 Blocks
- Whole Numbers: Place Value and Expanded Form
- Ex: Identifying Whole Numbers on the Number Line
- Plot Whole Numbers on the Number Line
- Place Value, Expanded Form and Name Whole Numbers (Hundreds)
- Identify Place Values of Whole Numbers
- Ex: Determining Place Value
- Ex: Write a Whole Number in Digits from Words
- Number Words to Place Value and Writing Number (Large Whole Numbers)
- Write Word Names for Large Whole Numbers
- Ex: Numbers Less Than and Greater a Given Value
- Order Whole Numbers (Hundreds)
- Compare Two Whole Numbers (Words and Inequality)

- Add Whole Numbers using Models (Basic)
- Add Whole Numbers using Number Lines
- Determine an Addition Problem Modeled on a Number Line
- Use Patterns to Determine an Addition Equation
- Model Addition of Two Digit Whole Numbers Using Base Ten Blocks
- Model Addition of Three Digit Whole Numbers Using Base Ten Blocks
- Intro To Subtraction: Subtracting Whole Numbers with Chips
- The Language of Addition
- The Language of Subtraction
- Adding Whole Numbers
- Example: Adding Whole Numbers
- Decomposing Numbers Additively - Money Contributions
- Ex: Add Two and Three Digit Whole Numbers
- Ex: Add Two Digit Whole Numbers
- Model Subtraction of Two Digit Whole Numbers Using Base Ten Blocks
- Model Subtraction of Three Digit Whole Numbers Using Base Ten Blocks
- Basic Whole Number Subtraction Using Base 10 Blocks
- Subtract 4 Digit Whole Numbers Using Base 10 Blocks
- Basic Whole number Subtraction Using the Number Line
- Subtract Whole Numbers using Models (Basic)
- Subtract Whole Numbers using Number Lines
- Determine a Subtraction Problem Modeled on a Number Line
- Subtracting Whole Numbers
- Example: Subtracting Whole Numbers
- Find the Difference of an Original and Sale Price (Whole Numbers)
- Relating Addition and Subtraction of Whole Numbers
- Mental Math: Addition Using Compensation
- Mental Math: Subtraction Using Compensation

- How Many Times Larger One Whole Number is Than Another (10^n)
- Ex 1: Multiplying Whole Numbers with Base 10 Blocks Using Area
- Ex 2: Multiplying Whole Numbers with Base 10 Blocks Using Area
- Ex 1: Stick Multiplication (2 digit)
- Ex 2: Stick Multiplication (3 digit)
- Ex 1: Stick Multiplication and Partial Products (2 digit)
- Ex 2: Stick Multiplication and Partial Products (3 digit)
- Multiplying Whole Numbers
- The Language of Multiplication
- Lattice Multiplication - Whole Number Multiplication
- Multiplying Whole Numbers Using Area and Partial Products
- Multiply 2 Digit Whole Numbers Using an Area Model
- Example: Multiplying Whole Numbers
- Multiply a 3 Digit Whole Number and a 1 Digit Whole Number
- Multiply Two 3 Digit Whole Numbers - Traditional
- Division of Whole Numbers using Area (No Remainder)
- Division of Whole Numbers using Area (With Remainder)
- Division of Whole Numbers Involving Zero using Area
- Dividing Whole Numbers – Partial Quotients
- Dividing Whole Numbers
- The Language of Division
- Partial Quotients - Dividing Whole Numbers
- Example: Dividing Whole Numbers without a Remainder
- Example: Dividing Whole Numbers with a Remainder
- Ex: Long Division - Two Digit Divided by One Digit (No Remainder)
- Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (No Remainder)
- Ex: Long Division - Two Digit Divided by One Digit (With Remainder)
- Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (With Remainder)
- Ex: Long Division - Four Digit Divided by One Digit (No Remainder)
- Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (No Remainder)
- Column Divisions: 2 Digit Divided by 1 Digit with No Remainder
- Partition Division with Base 10 Blocks: 2 Digit Divided by 1 Digit with No Remainder
- Column Divisions: 2 Digit Divided by 1 Digit with Remainder
- Partitive Division with Base 10 Blocks: 2 Digit Divided by 1 Digit with Remainder
- Column Divisions: 3 Digit Divided by 1 Digit with No Remainder
- Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with No Remainder
- Column Divisions: 3 Digit Divided by 1 Digit with Remainder
- Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with Remainder
- Ex: Long Division - Four Digit Divided by One Digit (With Remainder)
- Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)
- Ex: Long Division - 3 Digit Divided by 2 Digit (No Remainder)
- Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (No Remainder)
- Ex: Long Division - 3 Digit Divided by 2 Digit (With Remainder)
- Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (With Remainder)
- Ex: Long Division - 4 Digit Divided by 2 Digit (No Remainder)
- Ex: Division Using Partial Quotient - 4 Digit Divided by 2 Digit (No Remainder)
- Ex: Long Division - 4 Digit Divided by 2 Digit (With Remainder)
- Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)
- Multiply Whole Numbers to Solve Applications
- Divide Whole Numbers to Solve Applications
- Divide and Multiply Whole Numbers to Solve Applications
- Total Cost using Addition and Multiplication
- Mental Math: Multiplication Using Compensation
- Mental Math: Division Using Compensation

- Additive and Multiplicative Reason - The Tree Problem
- Additive and Multiplicative Reason - The Broomstick Problem
- Additive Reasoning - Running Laps
- Multiplicative Reasoning - Comparing Savings Accounts
- Write Equivalent Numerical Expressions

- Examples: Rounding Whole Numbers
- Ex: Rounding to the Nearest Ten - Number Line / Formal Rules
- Ex: Rounding to the Nearest Hundred - Number Line / Formal Rules
- Ex: Rounding to the Various Place Values - Number Line / Formal Rules
- Ex: Round a 3 Digit Number to Tens and Ten Thousands (tricky)
- Ex: Round a 4 Digit Number to Tens and Ten Thousands (tricky)
- Ex: Round a 4 Digit Number to Hundreds and Thousands (tricky)
- Estimating Addition and Subtraction Problems Involving Whole Numbers
- Estimating Multiplication and Division Problems Involving 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)

- Order of Operations (L1.1)
- Order of Operations with Whole Numbers
- Write Equivalent Numerical Expressions
- Simplify Basic Expressions in Fraction Form
- Ex 1: Simplify an Expression in Fraction form (Order of Operations)
- Ex 2: Simplify an Expression in Fraction form (Order of Operations)
- Ex 3: Simplify an Expression in Fraction form (Order of Operations)
- 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
- Evaluate an Expression Using the Order of Operations: a+b(c+d)
- Evaluate an Expression Using the Order of Operations: a+b(c-d
- Evaluate an Expression Using the Order of Operations: a/b+(c-d)^2
- Evaluate an Expression Using the Order of Operations: a+b(c+d), (a+b)(c+d)
- Evaluate an Expression Using the Order of Operations: a+b/c+d*f
- Evaluate an Expression Using the Order of Operations: a-b(c*d-e)
- Ex 1: Evaluate an Expression using Order of Operations: a^2-bcd (integers)
- Ex 2: Evaluate an Expression using Order of Operations: a^2-bcd (integers)
- Ex 3: Evaluate an Expression using Order of Operations: a^2-bcd (integers)
- Ex 4: Evaluate an Expression using Order of Operations: a^2-bcd (integers)
- Ex: Evaluate an Expressions Using Order of Operations: a/b*c , a-b+c (integers)
- Ex: Evaluate an Expression Using Order of Operations: a-b*c (integers)

- 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

- Problem Solving: Adding and Subtracting Whole Numbers
- Problem Solving Using Whole Number Operations
- Find the Difference of an Original and Sale Price (Whole Numbers)
- 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: Determine the Area of a Pentagon By Decomposing the Area (Rect + Tri)
- 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
- Ex: Determine the Total Cost of a Loan Given Loan Amount and Payments
- Multiply Whole Numbers to Solve Applications
- Divide Whole Numbers to Solve Applications
- Divide and Multiply Whole Numbers to Solve Applications

- Model Integers Multiple Ways with Integer Chips
- Introduction to Integers
- Plot Integers on the Number Line
- Determine Integers to Represent a Statement
- Determine Integers to Represent a Statement and Plot on Number Line
- Ex: Compare Integers Using An Inequality Symbol
- Compare Integers Using a Number Line
- Compare Integers Using a Number Line Applications
- Ex: Determine the Opposites of Integers
- Ex: Simplifying the Opposites of Negatives Integers
- Ex: Order Integers from Least to Greatest
- Ex: Integer Application: Feet Below Sea Level

- Ex 1: Determine the Absolute Value of an Integer
- Ex 2: Determine the Absolute Value of an Integer
- Evaluating Basic Absolute Values
- Ex: Comparing Integers Using Inequalities
- Ex: Comparing Absolute Value of Integers
- Simplify Absolute Value Expressions
- Ex: Determine the Absolute Value of a Difference |a-b|
- Ex: Determine the Absolute Value of a Difference Two Absolute Values |a-b|-|c-d|
- Ex: Evaluate an Absolute Value Expression |a*b^2-c*d^2|
- Simplify Absolute Value Expressions
- Absolute Value Application: Distance from Sea Level (Elevation)

- Adding Integers with the Same Sign Using Color Counters
- Adding Integers with Different Signs Using Color Counters
- Ex: Use Color Counter to Show Subtracting a Negative is the Same As Adding a Positive
- Adding Integers Using Algebra Tiles
- Adding Integers Using a Number Line
- Adding Integers with a Number Line (Only 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
- Ex: Add Two and Three Digit Integers (Negative Sum): Formal Rules and Number Line
- Ex: Add Two and Three Digit Integers (Positive Sum): Formal Rules and Number Line
- Ex: Add Two Negative Two Digit Integers: Formal Rules and Number Line
- Example: Problem Solving Using Integers (Golf Score)
- Subtracting Integers with Color Counters (No Extra Zeros Needed)
- Subtracting Integers with Color Counters (Extra Zeros Needed)
- Integer Subtraction Using the Number Line
- Subtracting Integers – The Basics

- Ex: Use Color Counter to Show Subtracting a Negative is the Same As Adding a Positive
- Why is a-b = a+(-b)? Integer Chips
- Why is a-(-b) = a+b? Integer Chips
- Subtracting Integers
- Ex 1: Subtracting Integers
- Ex 2: Subtracting Integers (Two Digit Integers)
- Ex: Subtract Two Digit Positive Integers (Pos Diff) - Formal Rules and Number Line
- Ex: Subtract Two Digit Positive Integers (Neg Diff): Formal Rules and Number Line
- Ex: Subtract Two Digit Integers (Neg-Pos): Formal Rules and Number Line
- Ex: Subtract Two Digit Integers (Neg-Neg) Formal Rules and Number Line (Neg Sum)
- Ex: Subtract Two Digit Integers (Neg-Neg) Formal Rules and Number Line (Pos Sum)
- Ex: Subtract Two Digit Integers (Pos-Neg) Formal Rules and Number Line (Pos Sum)
- Ex: Integer Application: Overdrawn Checking Account
- Ex: Determine the Difference Between Two Temperatures (integers)
- Write and Determine a Sum of Integers Describing an Situation
- Write and Determine a Difference of Integers Describing an Situation

- Multiplying Integers Using Two Color Counters (No Zeros Needed)
- Multiplying Integers Using Two Color Counters (Zeros Needed)
- Multiplying Integers Using Integer Chips (Opposites)
- Discover the Rules for Multiplying Integers by Analyzing Patterns
- Discover the Rules of Multiplying Integers Using Opposites and The Commutative Property
- Multiplying Integers – The Basics
- 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
- Conceptualizing Multiplication and Division of Integers
- Example: Problem Solving Using Integers (Stock Gain/Loss)
- Division of Whole Numbers using Area (No Remainder)
- Division of Whole Numbers using Area (With Remainder)
- Division of Whole Numbers Involving Zero using Area
- Dividing Integers – The Basics
- Ex: Dividing Integers
- Multiplying and Dividing by Zero
- Signed Number Operations (L1.4)
- Applications Involving the Product of Integers
- Write and Determine Products and Quotients From Statements
- Write and Determine Products and Quotients To Solve Problems
- Write and Determine Quotients of Integers From Statements
- Write and Determine Quotients of Integers For Applications
- Determine the Product and Quotients of Integers (Review I)
- Determine the Product and Quotients of Integers (Review II)
- Write Division As Multiplication (Missing Factor)

- Examples: Evaluating Negative Numbers Raised to Powers
- Order of Operations
- Evaluate a^m + b^n and (a+b)^m
- 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
- Ex 1: Order of Operations with Integers
- Ex 2: Order of Operations with Integers
- Simplify an Expression in the Form: a-b+c*d
- Simplify an Expression in the Form: a^n*b^m
- Simplify an Expression in the Form: (a+b)^2+c*d
- Order of Operations With Integers: a(b-(-c))+d
- Order of Operations With Integers: a+b(c-d((e^2)+f))
- Ex: Evaluate an Expression in the Form: (a-b)^2*(c^3/(d+e))

- Introduction to Variables and Variable Expressions
- Evaluating Algebraic Expressions (L2.1)
- Algebraic Expression Vocabulary (L2.2)
- Ex: Substitute and Evaluate Basic Expressions x+2, 2x, x^2, 2^x
- Ex: Substitute and Evaluate Expressions x^2+3, (x+3)^2, x^2+2x+3
- Combining Like Terms
- Simplifying Algebraic Expressions
- Evaluating Algebraic Expressions
- Ex: Evaluate an Expression in the Form Ax+By
- Ex: Evaluate Expressions in the form A+B and A-B with Pos Fraction Values (Like Denom)
- Ex: Evaluate Expressions in the form A-B with Signed Fraction Values (Like Denom)
- Ex: Evaluate Expression in the Form x^2, x^3, and x^4 with Negative Fractions
- Ex: Evaluate Expressions in the form A+B with Fraction Values (Unlike Denom)
- Ex: Evaluate an Expression in the Form (b^2-4ac)/(2a)
- Ex: Evaluate an Expression in the Form (2x-z)^2+7y

- 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

- Determine Multiples of a Number
- Divisibility Rules
- Ex 1: Apply Divisibility Rules to a 4 Digit Number
- Ex 2: Apply Divisibility Rules to a 4 Digit Number
- Determine if Numbers Are Prime or Composite (Algorithm)
- Determine if Numbers Are Prime or Composite (Algorithm)
- Ex 1: Prime Factorization
- Ex 2: Prime Factorization
- Ex 3: Prime Factorization
- Factors
- Ex 1: Determine Factors of a Number
- Ex 2: Determine Factors of a Number
- Ex 3: Determine Factors of a Number
- Ex 1: Determine the Least Common Multiple Using a Fraction Wall or Rods
- Ex 2: Determine the Least Common Multiple Using a Fraction Wall or Rods
- Ex: Determine Factors and Greatest Common Factor Using a Fraction Wall or Rods
- Least Common Multiple (new)
- Least Common Multiple
- Ex: Least Common Multiple Using a List of Multiples
- Ex: Least Common Multiple Using Prime Factorization
- Least Common Multiple Application (Table)
- Greatest Common Factor
- Ex: Determine the Greatest Common Factor
- Ex 1: Determine the GCF and LCM using Prime Factors and a Venn Diagram
- Ex 2: Determine the GCF and LCM using Prime Factors and a Venn Diagram
- Ex 3: Determine the GCF and LCM using Prime Factors and a Venn Diagram
- Greatest Common Factor Application - Factor Method Only
- Greatest Common Factor Application - Prime Factor Method Only

- Introduction to Fractions
- Introduction to the Meaning of a Fraction
- Ex: Determine the Fraction Modeled
- Ex: Equivalent Fractions Using a Fractions Wall
- Ex: Identify a Fraction on a Number Line
- Determine the Value of Fraction Pieces
- Draw Models of Fractions and Explain the Meaning of the Fraction
- Plot Fractions on the Number Line
- Determine the Fractional Value of Cuisenaire Rods Given a Unit Train
- Identify Fractions Using Pattern Blocks
- Use Pattern Blocks to Determine Fraction Values Given the Unit
- Use Pattern Blocks to Determine Fraction Values Given a Nonstandard Unit
- Determine the Length of a Unit Given a Fractional Length
- Determine the Height of a Tower Given a Fractional Height of a Tower
- Compare Parts of a Chocolate Bar to Different Units
- Describing the Meaning of a Fraction
- Modeling Equivalent Fractions and Recognizing a Simplified Fraction
- Determine the Numerator to Make Equivalent Fractions
- 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

- Equivalent Fractions
- Ex: Determine Equivalent Fractions
- Simplifying Fractions
- Simplifying Fractions (new)
- Ex 1: Simplify Fractions
- Ex 2: Simplify Fractions
- Ex: Simplify Basic Fractions in the Form a/a and a/1
- Ex: Simplify Basic Fractions in the Form 0/a and a/0
- Ex: Simplify an Improper Fraction in the Form (ab)/a
- Ex 1: Simplify an Improper Fraction
- Ex 2: Simplify an Improper Fraction
- Ex 3: Simplify an Improper Fraction
- Ex 1: Simplifying Fractions
- Ex 2: Simplifying Fractions
- Ex: Simplify Basic Fractions Including Division by Zero
- Ex: Simplify Fractions and Mixed Numbers
- Ex 3: Simplifying Fractions With Variables

- Model the Product of a Whole Number and a Fraction Using Fraction Bars
- Model More Products of a Whole Number and a Fraction Using Fraction Bars
- Model Products of a Fraction and a Whole Number Using Fraction Bars
- Model the Product of Fractions Using Folding - 1/3 of 3/4 of Leftovers
- Model Products of a Fractions Using Fraction Bars
- Model the Product of a Fraction and Mixed Number Using Fraction Bars
- Ex: Using a Fraction Wall to Find the Product of a Whole Number and a Fraction
- Ex: Using a Fraction Wall to Find the Product of Two Fractions
- Ex: Modeling Fraction Multiplication Using Paper Folding
- Ex: Multiplying Fractions Using Pattern Blocks
- Modeling Multiplying Fractions Using Copies
- Multiplying Fractions - Positive Only
- Ex 1: Multiply Fractions (Basic)
- Ex 2: Multiply Fractions
- Multiply Various Forms of Fractions Using Formal Rules
- Ex: Multiply Reciprocals
- Ex: Fraction Application - Fraction Times a Whole Number
- Ex: Fraction Application - Product of Two Fractions
- Multiplying Signed Fractions
- Modeling Multiplying Fractions Using Copies
- Multiplying Fraction (old)
- Example: Multiplication Involving Fractions(Positive)
- Ex: Fraction Multiplication Review (Mixed)
- Ex: Multiplying Signed Fractions
- Ex: Find the Product of Three Fractions
- Ex: Multiplying Fractions with Variables
- Ex: Multiplying Signed Fractions Containing Variables
- Ex: Fractions Raised to a Powers
- Ex: Negative Fractions Raised to Powers
- Ex: Using a Fraction Wall to Find the Quotient of Two Fractions
- Ex: Find the Quotient of a Whole Number and Fraction using Fraction Strips
- Ex 1: Find the Quotient of a Mixed Number and Fraction using Fraction Strips
- Ex 2: Find the Quotient of a Mixed Number and Fraction using Fraction Strips
- Ex: Determine the Reciprocal of Integers, Fractions, and Mixed Numbers
- Division of Fractions Using Cuisenaire Rods
- Division of Fractions Using Common Denominators and Models
- Division of Fractions Using Formal Rules
- Why is Dividing by a Fraction Equivalent to Multiplying by the Reciprocal?
- Dividing Fraction - Positive Only
- Ex 1: Divide Fractions (Basic)
- Ex 2: Divide Fractions
- Ex 3: Divide Fractions
- Ex: Fraction Application: Whole Number Divided by a Fraction
- Ex: Fraction Application: Mixed Number Divided by a Fraction
- Ex: Fraction Division Review (Mixed)
- Dividing Signed Fractions
- Understanding Dividing by a Fraction
- Division Involving Fractions - Alternative Method (Common Denominators)
- Ex1: Division Involving Fractions - Compare Alternative and Traditional Methods
- Ex 2: Division Involving Fractions - Compare Alternative and Traditional Methods
- Ex 3: 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 Fraction
- Ex 2: Dividing Signed Fractions
- Ex: Dividing Signed Fractions Containing Variables
- Simplify Complex Fractions (2/3)/(5/6) and (-8/7)/4
- Simplify Complex Fractions (8/5)/(3 1/2) and (a/8)/((ab)/8)
- 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)
- Ex 1: Simplify a Complex Fraction with Multiple Steps
- Ex 2: Simplify a Complex Fraction with Multiple Steps
- Ex: Simplify a Complex Fraction with Multiple Steps and Variables
- Simplify a Complex Fraction 1/(1/x+1/y)
- Complex Fraction Application: Simplify a Resistance Formula

- Determine a Least Common Denominator and Equivalent Fractions
- Determine the Least Common Denominator of Two Fractions (Column Method)
- Fraction Operations (L1.3)
- Determine the Sum of Fractions Using Pattern Blocks (Nonstandard Unit)
- Determine the Difference of Fractions Using Pattern Blocks (Nonstandard Unit)
- Determine the Sum of Fractions Using Formal Rules
- Ex 1: Find the Sum of Two Fractions Using Pattern Blocks
- Ex 2: Find the Sum of Two Fractions Using Pattern Blocks
- Ex 3: Find the Sum of Two Fractions Using Pattern Blocks (Sum Greater Than 1)
- Ex: Find the Sum of Two Mixed Numbers Using Pattern Blocks
- Adding Fractions Introduction (Positive)
- Ex: Add Fractions with Unlike Denominators (Basic with Model)
- Ex: Add Fractions with Unlike Denominators (With Model)
- Ex: Subtract Fractions with Unlike Denominators (Build LCD with Primes)
- Ex: Subtract Fractions with Like Denominators
- Subtracting Signed Fractions
- Ex 2: Subtracting Signed Fractions
- Find the Sum and Difference of Three Signed Fractions (Common Denom)
- Ex: Add and Subtract Fractions Containing Variables
- Ex: Comparing Fractions Using a Fraction Wall
- Add Fractions with Variables and Common Denominators
- Subtract Fractions with Variables and Common Denominators
- Pizza Scenario - Comparing Fractions with the Same Numerators
- Pizza Scenario - Comparing Fractions with the Same Denominators
- Comparing Fractions with the Same Numerators Or Same Denominators - No LCD (A)
- Comparing Fractions with the Same Numerators Or Same Denominators - No LCD (B)
- Pizza Scenario - Comparing Fractions with the Different Denominators
- Ex: Compare Fractions with Unlike Denominators using Inequality Symbols
- Ex: Compare Fractions with Inequality Symbols Using a Common Denominator and Decimals
- Compare Integers, Fractions, and Mixed Numbers (Number Line and Common Denom)
- Ex: Ordering Fractions with Unlike Denominators from Least to Greatest

- Determine Proper and Improper Fractions on the Number Line
- Determine Negative Proper and Improper Fractions on the Number Line
- Plot Positive Proper and Improper Fractions on the Number Line
- Plot Signed Proper and Improper Fractions on the Number Line
- Plot Signed Mixed Numbers on the Number Line
- Improper Fractions and Mixed Numbers
- Fraction Basics (L1.2)
- 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

- Ex: Find a Product of a Whole Number and Mixed Number Using Area
- Ex: Find a Product of Two Mixed Numbers Using Area
- Multiplying and Dividing Mixed Numbers
- Determine the Product of a Whole Number and Mixed Number
- 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
- Determine the Quotient of a Whole Number and Mixed Number
- Review: Multiplication and Division of Fractions and Mixed Numbers
- Ex 5: Division Involving Mixed Numbers - Compare Alternative and Traditional Methods

- Adding Mixed Numbers
- Determine the Sum and Difference of Mixed Numbers Using Formal
- Ex 1: Find the Difference of Two Mixed Numbers Using Pattern Blocks (Basic)
- Ex 2: Find the Difference of Two Mixed Numbers Using Pattern Blocks
- Ex 3: Find the Difference of Two Mixed Numbers Using Pattern Blocks
- Subtracting Fractions Introduction - Positive Only
- Ex: Add Mixed Numbers with Like Denominators
- Ex: Adding Mixed Numbers
- Subtracting Mixed Numbers
- Subtract a Mixed Number froEx: Add and Subtract Mixed Numbers Using Improper Fractions (Basic)
- Ex: Subtraction of Mixed
- Ex: Subtract Mixed Numbers Using Improper Fractions
- Ex: Subtract Mixed Numbers with Like
- Review: Addition and Subtraction of Fractions and Mixed Numbers
- Find the Sum of Mixed Numbers - Compare 2 Methods
- Find the Difference of Mixed Numbers - Compare 2 Methods
- m a Whole Number (2 Methods)
- Add Mixed Numbers Using Compensation
- Subtract Mixed Numbers Using Compensation

- Multiplying and Dividing Fraction on the TI84
- Adding and Subtracting Fractions on the

- Order of Operations Involving Fractions
- Ex 1: Order of Operations with Fractions
- Ex 2: Order of Operations with 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
- Simplify an Expression in the Form: a*1/b-c/(1/d)
- Simplify an Expression in Fraction Form
- Simplify an Expression in Fraction Form with Absolute
- 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

- Ex: Area of a Triangle Involving Fractions
- Ex 1: AppliFraction Sum Application: Fraction of M and M's that are Two Colors
- Fraction Time Whole Number Application: 3/4 of a 20 Miles
- cation 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
- Complex Fraction Application 2 - Total Resistance of a Parallel Circuit
- Ex: Determine the Fraction of Annual Income is Spent on Entertainment From Monthly Amount
- Ex: Determine a Fraction of an Amount (Winnings)
- Ex: Mixed Number Application - Amount of Sugar per Cupcake

- Decimal Notation: Saying Decimals and Writing Decimals as Fractions
- Read and Write Decimals
- Write a Decimal to Represent a Situation and a Model
- Decimal Notation: Ordering Decimals
- Decimal Notation: Writing Decimals in Words
- Decimal Notation: Rounding Decimals
- Introduction to Decimal Notation
- Ex: Decimal Grid, Fraction, and Expanded Form for a Given Decimal Words
- Ex: Decimal Grid, Fraction, and Expanded Form for a Given Decimal Notation
- Ex: Write a Number in Decimal Notation from Words
- Ex: Comparing Decimals with Inequality symbols
- Compare Two Decimals Using <,>, or =
- Ex 1: Determine What Two Decimals a Given Number is Between
- Ex 2: Determine What Two Decimals a Given Number is Between
- Ex 1: Write Fraction as a Decimal and Percent using Decimal Grid Model
- Ex 2: Write Fraction as a Decimal and Percent using Decimal Grid Model
- Ex 1: Convert a Decimal to a Fraction
- Ex 2: Convert a Decimal to a Fraction
- Ex: Identify Decimals on the Number
- 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
- Round Decimals Using a Number Line and Formal Rules
- Ex: Writing a Decimal as a Simplified Fraction

- Ex 1: Find the Sum of Two Decimals Using Base Ten Blocks
- Ex 2: Find the Sum of Two Decimals Using Base Ten Blocks
- Ex 1: Find the Difference of Two Decimals Using Base Ten Blocks
- Ex 2: Find the Difference of Two Decimals Using Base Ten Blocks
- 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: Adding Signed Decimals (Negative Plus Negative)
- Ex: Adding Signed Decimals (Negative Plus Positive with Positive Sum)
- Ex: Adding Signed Decimals (Positive Plus Negative with Negative Sum)
- 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: Subtracting Signed Decimals (Negative Minus Negative with Negative Difference
- Ex: Subtracting Signed Decimals (Positive Minus Negative)
- Ex: Subtracting Signed Decimals (Positive Minus Positive with Negative Difference)
- Ex: Subtracting Signed Decimals (Positive Minus Positive with Positive Difference)
- 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
- Add and Subtract Decimal Application (Additive Reasoning)

- Multiplying Positive Decimals I
- Multiply Two Positive Decimals II
- Ex: Determine the Product of a Whole Number and Decimal using Base Ten Blocks
- Ex: Determine the Product of Two Decimals Using Base Ten Blocks (1 digit
- Multiplying by Powers of Ten
- Multiply A Decimal by 10 and 100: Wage Application
- Multiply Decimals by 10, 100, and 1000
- Multiplying Decimals
- Cost Application: Products Involving a Mixed Number and Decimal
- Ex 1: Multiplication of Decimals
- Ex 2: Multiplication of Decimals
- Ex: Multiplying Signed Decimals
- Ex: Multiplying Signed Decimals (Negative Times Negative)
- Ex: Multiplying Signed Decimals (Positive Times Negative)
- Ex: Determine the Quotient of a Whole Number and Decimal using Base Ten Blocks
- Ex: Determine the Quotient of Two Decimals Using Base Ten Blocks (1 digit)
- 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
- Ex: Dividing Signed Decimals (Negative Divided by Negative)
- Ex: Dividing Signed Decimals (Negative Divided by Positive)

- 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
- Convert a Fractions to Decimals and Decimals to Percents (3/8, 7/4, 2 3/5)
- Convert a Fractions to Decimals and Decimals to Percents (2/3, 5 4/9)

- Ex 1: Simplify an Expression Involving Decimals
- Ex 2: Simplify an Expression Involving Decimals
- Ex 3: Simplify an Expression Involving Signed Decimals

- Ex: Determine the Area of a Rectangle Using Decimals
- Ex: Determine the Area of an L-shaped Polygon Using Decimals
- Ex: Determine Weekly Pay with Overtime
- Decimals in Money App: Money Leftover 82-(14.75+34.90+4.47)
- Decimals in Money App: Total Cost of Gas 12*(2.749)
- Decimals in Money App: Share Cost Equally 49.92/6
- Decimals in Money App: Cost of Fruit 4(0.18)+3(0.42)

- Scientific Notation
- Animation: Scientific Notation
- Scientific Notation (L4.4
- 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
- Application of Scientific Notation - Quotient 1 (Number of Times Around the Earth)
- Application of Scientific Notation - Quotient 2 (Time for Computer Operations)

- Introduction to Square Root and Perfect Squares
- Introduction to Square Roots With Area
- Simplify Square Roots (Perfect Squares)
- Simplify Perfect Square Roots
- Simplify Perfect Square Roots with Variables
- Simplify the Opposite of Perfect Square Roots with Variables
- Ex: Simplifying Square Roots (perfect squares)
- Determine Consecutive Whole Numbers A Square Root is Between
- Approximating Square Roots Using Division (No Calculator Required)
- Simplify the square Root of a Sum
- Simplify the Square Root of a Fractions (Basic)
- Ex: Simplifying Square Roots (not perfect squares)
- Determine Approximate Values of Square Roots (Irrational Values)
- 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)
- Square Root Expression App: Time of a Falling Object to Hit the Ground
- Square Root App: Find the Side Length of a Square Given the Area

- Ratios
- Determine Ratios and a Percentage from a Table (Concrete Problem)
- Ex: Write a Ratio as a Simplified Fraction
- Ex: Write a Ratios as a Simplified Fractions Involving Decimals and Fractions
- Use a Ratio and Tape (Bar) Diagram to Determine if Rations are Equivalent
- Use a Ratio and Tape (Bar) Diagram to Determine a Nut Mix
- Rates and Unit Rates
- Determine if an Equation is a Proportion (Cross Products)
- Write a Proportion from a Sentence
- Determine Equivalent Rates Using Proportions: Running
- Determine Ratios and Solve Applications Using Proportions (Punch Mix)
- Determine Rates and Unit Rates, Then Solve Proportions (No Cross Products)
- Use Proportions to Solve Applications (No Cross Products)
- Ex: Determine a Unit Rate To Determine Who Works faster
- Ex: Determine a Unit Rate to Determine the Cost Per Minute of a Cell Phone Plan
- 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
- Ex: Problem Solving - Find a Ratio Given Averages
- Discover the Ratios of Sides, Perimeters, and Areas of Similar Polygons
- Similar Polygons: Find Missing Area Given the Ratio of Perimeters
- Similar Polygons: Find Missing Perimeter Given the Ratio of Areas

- Introduction to Proportions
- Introduction to Solving Proportions
- Proportions
- Proportions - Intro, Cross Product, and Applications
- Solving Proportions (L6.2)
- Proportion Application with No Cross Products
- Ex: Solving Basic Proportions
- Solve a Proportion using 2 Methods (2x)/(x+9)=4/7
- Ex: Solve Proportions (Advanced)
- Ex: Solve a Proportion with One Side Not a Fraction
- Ex: Solving Proportions Involving Decimals and Fractions
- Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Whole Num Solution)
- Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Fraction Solutions)
- Ex: Solve a Proportion by Clearing Fractions ((a/x=b/c, Fraction Solution)
- Ex: Solve a Proportion with a Complex Fraction by Clearing Fractions
- Ex: Solve a Proportion or Equation in the Form x/a=b
- Ex: Solve a Proportion or Equation in the Form a/x=b
- Ex: Applications Using Proportions
- Ex: Proportion Application - Scaling a Recipe
- Ex: Proportion Applications – Mixtures
- Ex: Proportion Application - Property Tax Amount
- Ex: Proportion Application - Training Sessions Cost
- Ex: Proportion Application - Coffee Blend Amounts
- Proportion Applications
- Unit Scale
- Scale Factor
- Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Whole Num Solution)
- Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Fraction Solutions)
- Ex: Solve a Proportion by Clearing Fractions (a/x=b/c, Whole Num Solution)
- Ex: Solve a Proportion by Clearing Fractions ((a/x=b/c, Fraction Solution)
- Ex: Solve a Proportion with a Complex Fraction by Clearing Fractions
- Ex: Solve a Proportion or Equation in the Form x/a=b
- Ex: Solve a Proportion or Equation in the Form a/x=b

- Introduction to Percent
- Determine Fractions and Percent From Data about Successful and Unsuccessful Attempts
- Use a Shaded 10 by 10 Grid to Write a Ratio, Decimal, and Percent
- Represent a Percent or Decimal Using 10 by 10 Grids
- Convert Ratios to Percents and Simplfied Fractions (35 to 100 and 48 to 50)
- Percent Intro and Basic Percent, Fraction, Decimal Conversions
- Fraction, Decimal, Percent Conversions (Not Basic)
- Ex 1: Relating Fractions, Decimals, and Percents
- Ex 2: Relating Fractions, Decimals, and Percents
- Convert Percentages to Decimals - Two Methods
- Convert Percentages to Fractions
- Convert a Percent to a Ratio or Fraction (88% and 75%)
- Convert Large and Small Percent to a Decimal and Fraction
- Convert a Fraction of a Percent to a Decimal and a Fraction
- Convert a Decimal to a Percent and a Fraction
- Find the Percent of a Number
- Percent Application: Determine a Sale Price Using a Tape (Bar) Diagram
- Percent Application: Determine an Original Price Using a Tape (Bar) Diagram

- The Percent Equation
- The Percent Equation (L6.3)
- Identify the Percent, Base, and Amount of a Percent Question
- Use a Percent Equation to Solve for an Amount or Part of a Whole
- Use the Percent Equation to Find a Percent
- Use a Percent Equation to Solve for a Base or Whole Amount
- 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
- Ex: Answer Percent Questions Using a Percent Equation
- Solving Percent Application Problems Using the an Equations (L6.4)

- 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: Determine Percent of Change - Increase and Decrease
- Ex 1: Determine a Percent of Change (decrease)
- Ex 2: Determine a Percent of Change (increase)

- Introduction to Tape Diagram or Bar Diagram for Percent Problems
- Solve Basic Percent Problems Using a Tape Diagram (Bar Diagram)
- Solve Percent Problems Using a Tape Diagram (Bar Diagram)
- Percent App: Find the Amount of Savings from a Discount
- Percent App: Find a Price Before Tax From Total Price
- Find a Percent of Increase Using a Percent Equation
- Percent App: Find the Percent of An Amount After Reading a Pie Chart
- 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
- Determine the Amount of Interest Earned (Simple Interest)
- Determine a Simple Interest Rate For a Loan with Known Interest
- Simple Interest - Determine Account Balance (Monthly Interest)
- Simple Interest - Determine Interest Balance (Monthly Interest)
- Ex: Percent Application - Number of Correct Questions Given Percent (Equation and Proportion)
- Ex: Percent Application - Sales Tax Given Percent (Equation and Proportion)
- Ex: Percent Application - Commission Amount Given Percent of Sales (Equation and Proportion)
- Ex: Percent Application - Find Percent of Original Price (Equation and Proportion)
- Ex: Percent Application - Find Percent Of a Number of Items (Equation and Proportion)
- Ex: Percent Application - Rent Given Percent (Equation Only)
- Ex: Percent Application - Number of Students Given Percent (Equation Only)
- Ex: Find the Percent of Problems Missed on a Test from the Number Correct
- Ex: Find the Percent That Did Not Select an Item from How Many Did
- Ex: Find the Percent of an Amount - Sale Tax
- Ex: Find the Percent of an Amount - Survey
- Ex: Find an Amount After a Percent Reduction (Energy Use)
- Ex: Find the Original Amount Before a Percent Decrease - Attendance Drop

- Exponential Notation
- Properties of Exponents
- A Discussion: Zero to the Power of Zero - 0^0
- The Zero Exponent
- Ex: Write Repeated Multiplication Using Exponents
- Write Equivalent Exponential Terms From Given Numbers
- 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
- Ex: Raising Fractions to Powers
- Ex: Quotient Rule of Exponents (Positive and Negative)
- Order of Operations – The Basics
- Order of Operations

- 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

- Intro to a Variable as a Changing Value or Placeholder
- The Meaning of An Equal Sign: Equivalence or Calculation
- Equality Statements: Always, Sometimes, or Never True
- Variables in Expressions and Equations
- Explain the Meaning of Equations and Expressions for an Application
- Introduction to the Distributive Property
- Intro to the Distributive Property Using Area
- Discover the Distributive Property Using Decomposition of Area
- Determine Equivalent Expressions Using the Distributive Property and Order of Operations
- Evaluate Numerical Expressions Using Order of Operations and Distribution
- Using the Distributive Property
- Using the Distributive Property to Multiply
- Simplifying Algebraic Expressions
- Evaluating Algebraic Expressions
- Ex: Evaluate a Variable Expression with Exponents and Fractions
- Ex: Evaluate a Variable Expression with Parentheses
- Ex: Evaluate Exponential Expressions
- Ex: Evaluate Exponential Expression
- Ex: Evaluate an Expressing Using the Order of Operations
- Ex: Evaluate Expressions - Square of a Sum and the Sum of Squares
- 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

- American Unit Conversions
- Household Measurements and Conversions
- Non-Standard Unit Conversions (Unit Fractions)
- Single Step Unit Conversion (US Standard - Unit Fractions)
- Single Step Unit Conversion Applications (US Standard - Unit Fractions)
- Convert Inches to Feet and Feet to Inches
- Convert Fluid Ounces to Half-Gallons Using Unit Fractions and Proportions
- Multi-Step Unit Conversions (US Standard - Unit Fractions)
- Add and Subtract Time (Hours and Minutes)
- Add and Subtract Gallons and Quarts
- Ex: Determine Square Yards from Square Feet Application
- Convert Square Feet to Square Yards (Unit Fractions)
- 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
- Unit Conversions of Area and Volume
- Determine Volume in Cubic Feet and Cubic Yards (Conversion)

- Introduction to Metric Conversions
- Metric Unit Conversions
- Compare Metric Units using Metric Conversions (Unit Fractions)
- Convert Metric Units to US Standard Units (Unit Fractions)
- 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

- 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
- Scale Factor
- Proportion Applications: Map Scale Factor (Clear Fractions, No Cross Products)
- Determine the Height of a Building Using a Scale Factor (Proportion)

- Mean, Median, and Mode
- Ex: Determine the Mean of a Data Set
- Ex: Determine the Average of a Set of Integers - Temperature
- 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

- Ex 1: Reading and Interpreting the Graph of a Function (Time and Distance)
- Ex 2: Reading and Interpreting the Graph of a Function (Wind Chill Factor)
- Introduction to Histograms

- Area and Perimeter Formulas
- Determine the Perimeter and Area of a Square on a Grid
- Determine the Perimeter and Area of a Rectangle on a Grid
- Determine the Area of a Parallelogram on a Grid
- Determine the Area of a Trapezoid on a Grid
- Ex: Determine the Area of a Rectangle Involving Whole Numbers
- Ex: Find the Area of a Triangle (Whole Number)
- Ex: Area of a Parallelogram (Whole Numbers)
- Ex: Area of a Trapezoid Using Whole Numbers
- Determine the Perimeter and Area of a Trapezoid
- Determine the Area of a Triangle on a Grid
- Determine the Area of an Obtuse Triangle on a Grid
- Determine the Perimeter and Area of an Irregular Polygon
- Find the Perimeter and Area of a L-Shaped Polygon Using Decimals
- Ex: Find the Area of an L-Shaped Polygon Involving Whole Numbers
- Ex: Area of a Triangle (Whole Numbers)
- Ex: Find the Area of a Rectangle Given the Perimeter
- Ex: Area of a Trapezoid Using Mixed Numbers
- Ex: Determine the Area of a Rectangle Using Decimals
- Ex: Determine the Area of an L-shaped Polygon Using Decimals
- Ex: Determine the Area of a Rectangle Using Mixed Numbers
- Ex: Area of a Walkway Around a Rectangle
- Ex: Area of a Triangle Involving Fractions
- Where Does the Area Formula For a Circle Come From?
- 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
- Ex: Find the Interior Angles of a Triangle From Expressions For the Angles
- Ex: Find the Perimeter of an L-shaped Polygon Involving Whole Numbers
- Ex: Find the Area of a Rectangle Given the 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
- Find the Area Inside a Square and Outside a Circle
- Ex: Area of a Polygon by Decomposing Area (Triangle/Rectangle I)
- Ex: Area of a Polygon by Decomposing Area (Triangle/Rectangle II)
- Find the Area of an Irregular Shape (Semi Circle Plus Triangle)

- Ex: Determine the Length of a Missing Side Given the Perimeter
- Ex: Determine Volume of a Cone
- Ex: Find the Surface Area of an Open Top Box
- Find the Surface Area of an Open Top Box
- Find the surface Area of a Cylinder
- Find the Surface Area of a Sphere
- Ex: Volume of a Pyramid

- Ex: Builder's Level Application - Decimal Addition and Subtraction
- Ex: Perimeter Application - Linear Feet of Baseboard Needed for a Room
- Ex: Area Application - Area of an Inner Room with a Outer Footing

- Roman Numerals
- Ex: Write the Number for Roman Numerals
- Ex: Write Numbers as Roman Numerals

- Points, Line, and Planes
- Identify and Name a Point, Line, Ray, Segment, and Angle
- Determine if a Measurement is 1D, 2D, or 3D
- Ruler Postulate and the Segment Addition Postulate
- Determine Lengths in Centimeters, Millimeters, and Inches
- Segment Midpoint and Segment Perpendicular Bisector
- Angle Basics
- Name and Classify Types of Angles
- Animation: Types of Angles
- Animation: Measuring Angles with a Protractor
- Angle Relationships and Types of Triangles
- Name Types of Triangles and Determine a Missing Interior Angle
- Properties of Polygons and Quadrilaterals
- Similar Triangles and Polygons
- Congruent and Similar Triangles
- Introduction to Similarity
- Discover the Ratios of Sides, Perimeters, and Areas of Similar Polygons
- Similar Polygons: Find Missing Area Given the Ratio of Perimeters
- Similar Polygons: Find Missing Perimeter Given the Ratio of Areas
- Scale Factor, Similar Triangles, and Proportions
- Sketch a Similar Polygon Using a Scale Factor of 3
- The Pythagorean Theorem
- The Pythagorean Theorem and the Converse of the Pythagorean Theorem
- Using the Pythagorean to Determine the Length of the Hypotenuse
- Solve Applications Using the Pythagorean Theorem (c only)
- Animation: The Sum of the Interior Angles of a Triangle
- Ex 2B: Find the Measure of an Interior Angle of a Triangle
- Ex: Find the Interior Angles of a Triangle From Expressions For the Angles
- Complementary, Supplementary, and Vertical Angles
- Determine the Complement and Supplement of a Given Angle
- Determine the Measure of Missing Angles from a Figure
- Determine the Measure of Vertical Angles and Angles from a Figure
- Ex: Write an Expressions for Complementary Angles and Supplementary Angles (Basic)
- Ex: Write Expressions and Determine the Measure of Complementary Angles
- Ex: Write Expressions and Determine the Measure of Supplementary Angles
- Angle Bisector
- Bisector and Midpoint Exercises - Example 1
- Bisector and Midpoint Exercises - Example 2
- Ex: Midpoint of a Segment
- Ex: Find the Endpoint of a Segment Given the Midpoint and One Endpoint
- Introduction to Polygons
- Classifying Polygons
- Interior and Exterior Angles of a Polygon

- Inductive Reasoning
- Introduction to Deductive Reasoning
- Introduction to Proof Using Properties of Equality
- Introduction to Proof Using Properties of Congruence

- Parallel and Perpendicular Lines and Planes
- Parallel Line Postulate
- Perpendicular Line Postulate
- Angles and Transversals
- Properties of Parallel Lines
- Proof: Alternate Interior Angles Are Congruent
- Proof: Consecutive Interior Angles Are Supplementary
- Proof: Parallel Planes Cut by a Plane Forming Parallel Lines
- Proof: Two lines Parallel to a Third are Parallel
- Example 1: Parallel Line Properties
- Example 2: Parallel Line Properties
- Proof: Involving Two Pair of Parallel Lines

- Corresponding Angle Converse
- Proof: Alternate Interior Angles Converse
- Proof: Alternate Exterior Angles Converse
- Proof: Consecutive Interior Angles Converse

- Perpendicular Transversals of Parallel Lines
- Examples 1: Perpendicular Transversals
- Examples 2: Perpendicular Transversals
- Perpendicular Bisector of a Segment on the Coordinate Plane
- The Distance Formula
- Determining the Shortest Distance Between a Line and a Point
- Determining the Distance Between Two Parallel Lines

Lines: Proof 1, Proof 2, Proof 3

- Proving the Triangle Sum Theorem
- Introduction to the Interior and Exterior Angles of a Triangle
- Proof: The Sum of the Exterior Angles of a Triangle is 360 Degrees
- Proof: The Exterior Angles Theorem
- How to Construct an Isosceles Triangle
- Proof: The Isosceles Triangle Theorem
- Examples: Using the Properties of Isosceles Triangles to Determine Values
- Introduction to Congruent Triangles
- Hypotenuse - Leg Congruence Theorem
- Determining If Two Triangles are Congruent
- Example 1: Prove Two Triangles are Congruent
- Example 2: Prove Two Triangles are Congruent
- How to Construct an Equilateral Triangle
- Proof: The Equilateral Triangle Theorem
- Examples: Using the Properties of Equilateral Triangles to Determine Values

- Introduction to the Midsegments of a Triangle
- Examples: Determining Unknown Values Using Properties of the Midsegment of a Triangle
- Introduction and Construction of the Perpendicular Bisectors of the Sides of a Triangle
- Proof: Perpendicular Bisector Theorem
- Proof: Perpendicular Bisector Theorem Converse
- Examples: Determining Values Using the Properties of the Perpendicular Bisectors of a Triangle
- Constructing a Perpendicular Bisector Using Geometer's Sketchpad
- Introduction to Angle Bisectors of a Triangle
- Proof: The Angle Bisector Theorem
- Proof: The Angle Bisector Theorem Converse
- Constructing the Angle Bisectors of a Triangle
- Constructing an Angle Bisector Using Geometer's Sketchpad
- Examples: Solving For Unknown Values Using Properties of Angle Bisectors
- The Medians of a Triangle
- Examples: Using the Properties of the Medians of a Triangle to Solve for Unknown Values
- The Altitudes of a Triangle
- Constructing the Altitude of a Triangle
- Constructing the Altitude of a Triangle Using Geometer's Sketchpad
- Proof: The Angle of a Triangle Opposite the Longest Side is the Largest Angle
- Triangle Inequality Theorem
- Introduction to Indirect Proof

- Ratios
- Rates and Unit Rates
- Proportions
- Proportion Applications
- Unit Scale
- Scale Factor
- Scale Factor, Similar Triangles, and Proportions
- Sketch a Similar Polygon Using a Scale Factor of 3
- Similar Triangles Using Angle-Angle
- Similar Triangles Using Side-Side-Side and Side-Angle-Side
- Indirect Measurement Using Similar Triangles
- Solving for Unknown Values Using the Properties of Similar Triangles
- The Triangle Proportionality Theorem
- Using the Properties of the Triangle Proportionality Theorem to Solve for Unknown Values
- The Triangle Angle Bisector Theorem
- Using the Properties of the Triangle Angle Bisector Theorem to Determine Unknown Values

- Introduction to Circles
- Circles and Solids: Radius, Diameter, and Naming Solids
- Ex: Write the Standard Form of a Circle From a Graph
- Ex: Graph a Circle in Standard Form
- Ex 1: Write the General Equation of a Circle in Standard Form
- Ex 2: Write the General Equation of a Circle in Standard Form (Fractions)
- Ex 3: Write General Equation of a Circle in Standard Form (Coefficent Not 1)
- Ex 4: Write General Equation of a Circle in Standard Form (Coefficent Not 1 and Fractions)
- Ex: Find Standard Equation of a Circle Given Center and Point on the Circle
- Ex 1: Find Standard Equation of a Circle Given the Endpoints of a Diameter
- Ex 2: Find Standard Equation of a Circle Given the Endpoints of a Diameter
- Tangent Lines to a Circle Proof
- Tangent Lines to a Circle Example Problems
- Prove Tangents Segments to a Circle from a Point are Congruent
- Tangent Segments to a Circle Example Problems

- Introduction to Area
- Introduction to Volume
- Determine the Perimeter of Various Polygons
- The Circumference of a Circle
- Rectangle Perimeter Application: Feet of Fencing Required
- Perimeter Application: Perimeter With and Without Edge
- Circumference Application: Determine the Radius
- Introduction to Area and Area Formulas
- Find the Area of a Shape by Decomposing the Area
- Area of a Square and Rectangle Using Decimal
- Application: Find the Radius of a Circle Given the Area
- Determine the Surface Area of a Cube (Decimals)
- Determine the Surface Area of a Rectangular Prism (Whole Numbers)
- Introduction to Volume
- Determine the Volume of a Cube (Decimals)
- Determine the Volume of a Rectangular Prism (Whole Numbers)
- Volume of a Cylinder and a Pyramid

- If-Then Statements and Converses
- The Converse, Contrapositive, and Inverse of an If-Then Statement
- Truth Tables for Compound Statements
- Truth Tables for Conditional Statements
- Truth Table for the Biconditional Statement
- Truth Tables: Showing Statements are Equivalent

Attribution: The above videos were created and produced by Mr. James Sousa and licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported LicenseMore information and videos can by found on Mr. Sousa's website and Mathispower4u YouTube Channel.

Special Thanks to Arizona Phoenix College Math Professor, James Sousa, for allowing access to high quality math instructional video under a CC BY-NC-SA license. Mr. Sousa has been teaching math for 15 years at both the community college and K-12 levels. Over the years, he has developed more than 2,600 video tutorials on topics from arithmetic to calculus, and made these videos available on YouTube. His website and videos, entitled, Mathispower4u, feature both math lessons and examples, and many of the videos have been incorporated into online homework questions available at MyOpenMath.com.

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