Whole Numbers Operations

Place Value and Writing Numbers

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)

Adding and Subtracting Whole Number

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)
Whole Number Subtraction App:  Insurance Claim with Deductible
Relating Addition and Subtraction of Whole Numbers
Mental Math: Addition Using Compensation
Mental Math: Subtraction Using Compensation

Multiplying and Dividing Whole Numbers

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
Whole Number Long Division App:  Number of Buses Needed
Mental Math: Multiplication Using Compensation
Mental Math: Division Using Compensation

Additive and Multiplicative Reasoning

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

Rounding and Estimating with Whole Numbers

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
Rounding Decimals on the Desmos Scientific Calculator
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 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, 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

Evaluating Variable Expressions with Whole Numbers

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
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)
Sketching a Polygon on the Coordinate Plane Using Desmos
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

Integers

Introduction to Integers

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

Absolute Value

Ex 1: Determine the Absolute Value of an Integer
Ex 2: Determine the Absolute Value of an Integer
Evaluating Basic Absolute  Values
Evaluate Absolute Value Expressions: |-a-b|,|-a|-|b|
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 and Subtracting Integers

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
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 – The Basics
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)
Add and Subtract Three Integers (Money Analogy and Formal Rules)
Add and Subtract Four Integers (Money Analogy)
Integer Addition Application:  Week Change in Stock Market
Integer Addition Application:  Football Plays Gains/Losses
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 and Dividing Integers

Multiplication Flashcards 2-5
Multiplication Flashcards 6-10
Multiplication Flashcards 3-12
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)
Integer Product Application:  Total Effect of Stock Price Drop

Order of Operations

Order of Operations  (L1.1)
Order of Operations with Whole Numbers
Order of Operations
Order of Operations (Whole Numbers): a(b+c)^2, a/b+(c-d)^2
Order of Operations (Whole Numbers): a(b+c(d*e-f))
Order of Operations (Whole Numbers): a(b*c-d)+e(f*g-h)
Evaluate a^m + b^n and (a+b)^m
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)
Order of Operations: Evaluate 4+6-(3*7^2)-5
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)
Examples:  Evaluating Negative Numbers Raised to Powers
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))
Order of Operations (Integers): Slope Form (a-b)/(c-d)
Order of Operations (Integers): a-(b-c)
Order of Operations (Integers): a^n-(-b+c)
Order of Operations (Integers): -a/b+(-c-(-d))^2
Order of Operations (Integers): a+(-b)/c+(-d)(-e)^2
Order of Operations (Integers): a[-b+(-c)(-d*e-(-f))]
Order of Operations (Integers): [a-(b-c)^2]/(d^2+e^2)

Variables and Variable Expressions

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
Evaluate Absolute Value Variable Expressions
Evaluate a Variable Expression: b^2-4ac (Whole Numbers)
Evaluate a Variable Expression: b^2-4ac (Integers - Pos Result)
Evaluate a Variable Expression: b^2-4ac (Integers - Neg Result)
Evaluate a Variable Expression a(bx-c)^2-9d (Whole Numbers)
Evaluate a Variable Expression y^3-y^2 (Whole Numbers)
Evaluate a Variable Expression x^2+y^3-z (Integers)

Solving One-Step and Two-Step Equations with Integers

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

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
Least Common Multiple Using Desmos
Ex:  Least Common Multiple Using a List of Multiples
Ex:  Least Common Multiple Using Prime Factorization
Least Common Multiple Application (Table)
Greatest Common Factor
Great Common Factor Using Desmos
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 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

Simplifying Fractions

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

Multiplying and Dividing Fractions

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
Multiplying Three Fractions (Positive) Ex 1
Multiplying Three Fractions (Positive) Ex 2
Ex: Multiply Reciprocals
Ex: Fraction Application - Fraction Times a Whole Number
Ex: Fraction Application - Product of Two Fractions
Fractions and Negative Signs
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 Three Signed Fractions
Multiplying Three Fractions (Signed) Ex 1
Multiplying Three Fractions (Signed) Ex 2
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 Fractions
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
Fraction Division App: a divided by b/c
Fraction Division App: a/b divided by c
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

Adding and Subtracting Fractions

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: Add Fractions with Unlike Denominators (Build LCD with Primes)
Adding Signed Fractions
Ex:  Add Fractions with Like Denominators
Ex:  Add and Subtract Fractions with Unlike Denominators (Basic)
Ex 1: Adding Fractions with Different Denominators
Ex 2: Adding Fractions with Different Denominators
Ex 1:  Adding Signed Fractions
Ex 2:  Adding Signed Fractions
Ex 1: Find the Difference of Two Fractions Using Pattern Blocks (Basic)
Ex 2: Find the Difference of Two Fractions Using Pattern Blocks (Simplifying)
Ex 3: Find the Difference of Two Fractions Using Pattern Blocks (Simplifying)
Determine the Difference of Fractions Using Formal Rules
Ex: Subtract Fractions with Unlike Denominators (Basic with Model)
Ex: Subtract 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
Adding / Subtracting Fractions
Ex:  Subtract Fractions with Unlike Denominators
Ex 1:  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
Fraction Addition Application: a/b+c/d (Amount of Fabric)
Add and Subtract Three Fractions (Unlike Denominators)

Introduction to Improper Fractions and Mixed Numbers

Introduction to Improper Fractions and Mixed Numbers
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
Improper Fractions and Mixed Numbers Basics  (L1.2)
Ex:  Converting a Mixed Number to an Improper Fraction
Ex: Convert an Improper Fraction to a Mixed Number

Multiplying and Dividing Mixed Numbers

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 and Subtracting Mixed Numbers

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
Ex:  Add and Subtract Mixed Numbers Using Improper Fractions (Basic)
Ex:  Subtraction of Mixed Numbers
Ex:  Subtract Mixed Numbers Using Improper Fractions
Ex:  Subtract Mixed Numbers with Like Denominators
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
Subtract a Mixed Number from a Whole Number (2 Methods)
Add Mixed Numbers Using Compensation
Subtract Mixed Numbers Using Compensation

Fractions on the Desmos and Graphing Calculator

Multiplying and Dividing Fraction on the TI84
Adding and Subtracting Fractions on the TI84
Fraction Operations on the Desmos Scientific Calculator
Fraction Operations on the Desmos Scientific Calculator
Converting Between Improper Fractions and Mixed Number on the TI84
Converting Improper Fractions to Mixed Number on the Desmos Scientific Calculator
Mixed Number Operations on the Desmos Scientific Calculator

Order of Operations with Fractions

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
Order of Operations with Fractions: a/b+(Quotient)
Order ofhttps://youtu.be/cdVUWB_Gy28 Operations with Fractions: Quotient and Product
Order of Operations with Fractions: (Difference)/(Fraction) Positive
Order of Operations with Fractions: (Difference)/(Fraction) Signed
Order of Operations with Fractions: (Difference)/(Difference) Positive
Order of Operations with Fractions: (Difference)/(Difference) Signed
Order of Operations with Fractions: (Product)-(Quotient) Signed
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 Values
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

Fraction Sum Application:  Fraction of M and M's that are Two Colors
Fraction Time Whole Number Application:  3/4 of a 20 Miles
Determine a Fraction of a Large Whole Number
Find a Fraction of a Whole Number: Model with Pieces of Pizza
Ex:  Area of a Triangle Involving Fractions
Find the Area of a Quadrilateral on the Coordinate Plane
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
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

Decimals

Introduction to Decimals

Decimal Notation:  Saying Decimals and Writing Decimals as Fractions
Read and Write Decimals
Write a Decimal to Represent a Situation and a Model
Plot Positive Decimals on the Number Line
Plot Negative Decimals on the Numbers Line
Decimal Notation:  Ordering Decimals
Decimal Notation:  Writing Decimals in Words
Decimal Notation:  Rounding Decimals
Rounding Decimals Using Desmos
Introduction to Decimal Notation
Words to Small Decimals and ID Place Value
Rounding to the Nearest Whole Number (Ones Place Value)
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 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
Round Decimals Using a Number Line and Formal Rules
Rounding Pi to Various Place Values
Estimate Cost of Patio Based Upon Area  (When to Round?)
Ex:  Writing a Decimal as a Simplified Fraction
Convert a Repeating Decimal to a Fraction (Part 1)
Convert a Repeating Decimal to a Fraction (Part 2)
Convert a Repeating Decimal to a Fraction (Part 3)
Convert a Repeating Decimal to a Fraction (Part 4)

Adding and Subtracting Decimals

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 aDecimal 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
Add an Integer and Decimal (Signed)
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 and Dividing with Decimals

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)

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
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)

Simplify/Evaluate Decimal Expressions

Evaluate a Decimal Expression: Addition and Subtraction
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
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

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)

 

Square Roots

Introduction to Square Root and Perfect Squares
Simplify Square Roots: sqrt(a^2), -sqrt(a^2), sqrt(-a^2), If Real
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)
Find the x-Coordinate of a Segment Endpoint Given the Length
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 and Proportions

Ratios and Rates

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
Unit Rate Applications: Miles Per Gallon and Gallons Per Mile
Writing Rates Two Way: Factor Label Method (MPG and GPM)
Rate Application: Miles Per Gallon and Gallons Per Mile
Use Rates to Find Driving Miles and Gallons Need for Distance (When to Round?)
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
Unit Rates: Dollars Per Quart and Quarts Per Dollar
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
Rate Application: Time to Fill an Aquarium
Rate Application:  Determine the Cost of Paper
Rate Application:  Determine Calories Per Muffin
Rate Application:  Determine Calories of a Large Pizza using Area
Conversion and Rate App:  Determine a Dosage Amount
Conversion App:  Determine Volume, Gallons and Weight of Water in a Pool

Proportions

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, 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
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

Percentages

Introduction to Percentages

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
The Percent of a Number Using Desmos
Find an Exact Tax Amount and Round to Nearest Dollar and Nearest Cent
Percent Application: Determine a Sale Price Using a Tape (Bar) Diagram
Percent Application: Determine an Original Price Using a Tape (Bar) Diagram
TI-84: Convert a Percent to a Decimal and Fraction

The Percent Equation

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)
Find a Wage After a Percent Increase
The Percent Equation: Matching Questions to Percent Equations
Find the Percent of a Total: A Bag of M & M's
Find the Percent Not Successful and Percent Successful: Marathon
Find the Percent Completed and Percent Not Completed: Swim
The Percent Equation: Find the Percent of an Amount Paid - Financial Aid
Find the Percent of an Amount: Down Payment on a Home

The Percent Proportion

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

Percent of Change
Stock Price: After a 10% Loss and Then 10% Gain:  Up, Down, Even?
Stock Price: After a 10% Loss and What Gain is Needed to Recover?
Ex: Determine Percent of Change - Increase and Decrease
Ex 1:  Determine a Percent of Change  (decrease)
Ex 2:  Determine a Percent of Change  (increase)
Determine Absolute Error and Percent Error

Percent Applications

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

Exponents

Properties of Exponents

Exponential Notation
Ex:  Evaluate Exponential Expressions
Ex:  Evaluate Exponential Expression
Properties of Exponents 
A Discussion:  Zero to the Power of Zero - 0^0
The Zero Exponent
Ex: Zero Exponent Property
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:  Expanding and Evaluating Exponential Notation
Ex:  Simplify Exponential Expressions - Product and Power Rule
Ex:  Simplify Exponential Expressions - Quotient Rule
Ex: Quotient Rule of Exponents (Positive and Negative)
Ex: Simplify Quotients with Different Bases and Negative Exponents
Ex: Quotient and Negative Exponent Properties
Evaluate and Create Equivalent Exponential Expressions
Order of Operations – The Basics
Order of Operations

Evaluating Expressions Using the Order of Operations

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

Measurement and Data

American or Standard Units

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)
Common Customary Length Conversions Using Unit Fractions
Common Customary Weight Conversions Using Unit Fractions
Convert Inches to Feet and Feet to Inches
Convert Fluid Ounces to Half-Gallons Using Unit Fractions and Proportions
Convert Gallons and Quarts to Cups: Lemonade
Add Pounds and Ounces (Basic)
Multi-Step Unit Conversions  (US Standard - Unit Fractions)
Convert Hours and Days to Seconds using Unit Fractions
Add and Subtract Time (Hours and Minutes)
Application: Subtract 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
Convert Between Ounces and Grams Using a Unit Fraction
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
Conversion Application: Canyon Echo (Mile Per Hour to Feet Per Second)
Ex: Unit Conversion / Proportion Application - Cost of Carpet
Unit Conversions of Area and Volume
Convert Area Units in Square Inches, Square Feet, and Square Yards
Determine Area in Square Inches and Square Feet
App: Determine a Volume of a Box in Cubic Inches and Cubic Feet
Determine Volume in Cubic Feet and Convert to Cubic Yards (Topsoil App)
Determine Volume in Cubic Feet and Cubic Yards (Conversion)
Conversion:  Fluid Ounces to Gallons (6 cases of soda to gallons)
Conversion: Find the Number of Acres With Dimensions Given in Yards
Conversion:  Find the Weight of a Chain in Ounces Given a Rate in Pounds

Currency Conversions

Convert U.S. Dollars to Euros Using a Unit Fraction
Convert Euros Per Liter to Dollar Per Gallon Using Unit Fractions
Converting Between Pesos and Dollars Using a Unit Fraction

Metric Units

Introduction to Metric Conversions
Metric Unit Conversions
Common Metric Length Conversions Using Unit Fractions
Common Metric Volume Conversions Using Unit Fractions
Common Metric Weight Conversions Using Unit Fractions
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

Converting Between Standard and Metric Units

American to Metric and Metric to American Conversions
Convert Between Inches and Centimeters Using a Unit Fraction
Convert Between Gallons and Liters Using a Unit Fraction
Ex:  Convert Lengths Between the Standard and Metric System
Ex:  Convert Weight Between the Standard and Metric System
Converting Between Meters and Feet Using a Unit Fraction
Ex:  Convert Volume Between the Standard and Metric System
Ex: Convert Height in Feet and Inches to Inches, Centimeters, and Meters
Convert Kiloliters to Quarts and Cups to Milliliters
Equations to convert between Celsius and Fahrenheit
Ex:  Convert Temperature from Celsius to Fahrenheit
Ex:  Convert Temperature from Fahrenheit to Celsius
Time Conversions
Convert Between Celsius and Fahrenheit Using an Equation
Convert Between Pounds and Kilograms Using a Unit Fraction

Unit Scale and Scale Factor

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

Circle  Graphs or Pie Charts:  Part 1, Part 2
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
Determine the Mean, Median, Mode, and Range of a Data Set
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (odd)
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (even)
One Variable Statistics Using Desmos
TI84 One Variable Statistics - Mean and Median
TI84 One Variable Statistics - Mean and Median Using a Frequency Table

Data Displays
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
Dot Plots, Histograms, and Box Plots Using Demos
Circle  Graphs or Pie Charts:  Part 1, Part 2

Geometry

Perimeter and Area

Introduction to Perimeter and Perimeter Formulas
Determine the Perimeter of Various Polygons
The Circumference of a Circle
Introduction to Area
Introduction to Area and Area Formulas
Find the Area of a Shape by Decomposing the Area
Area of a Square and Rectangle Using Decimal
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
Rectangle Area Application:  Flooring
Perimeter and Area of a Rectangle with Decimals
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)
Perimeter and Area of a Parallelogram (Whole Numbers)
Perimeter and Area of a Parallelogram (Decimals)
Ex:  Area of a Trapezoid Using Whole Numbers
Determine the Perimeter and Area of a Trapezoid
Perimeter and Area of a Right Trapezoid
Determine the Area of a Triangle on a Grid
Determine the Area of an Obtuse Triangle on a Grid
Perimeter and Area of a Triangle with Decimals
Perimeter and Area of a Triangle with Mixed Numbers
Find the Length of  a Missing Side of a  Right Triangle and Perimeter and Area
Perimeter and Area of a Trapezoid with Decimals
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
Area of a Circle Given the Diameter as  a Decimal
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)
Perimeter of a Rhombus Inscribed in a Rectangle Inscribed in a Circle
Ex:  Determine the Length of a Missing Side Given the Perimeter

Volume / Surface Area / Misc

Introduction to Volume (1)
Introduction to Volume (2)
Determine the Volume of a Rectangular Prism (Whole Numbers)
Determine the Volume of a Cube (Decimals)
Volume of Stairs: Decomposing Volume (Right Rectangular Prisms)
Ex:  Determine Volume of a Cone
Ex: Find the Surface Area of an Open Top Box
Find the Area of an Open Top Box
Ex: Volume of Pyramid
Find the Volume of a Cylinder
Volume of a Cylinder and a Pyramid
Find the Volume of a Sphere
Volume Between Two Spheres
Volume of the Empty Space in a Cubic Box with a Ball Inside
Determine the Percent of Volume of a Rectangular Pool (Box) 
Will It Fit? Water Bottles and Volume of a Cylinder
Ex: Find the Volume of a Sphere When the Radius is a Fraction with a Radical    
Ex: Determine the Surface Area of a Box (Right Rectangular Prism)
Determine the Surface Area of a Rectangular Prism (Whole Numbers)
Ex: Find the Surface Area of an Open Top Box
Find the Surface Area of an Open Top Box
Determine the Surface Area of a Cube (Decimals)
Find the surface Area of a Cylinder
Find the Surface Area of a Sphere

Geometric Applications

Ex: Builder's Level Application - Decimal Addition and Subtraction
Ex: Perimeter Application - Linear Feet of Baseboard Needed for a Room
Rectangle Perimeter Application:  Feet of Fencing Required
Perimeter Application: Perimeter With and Without Edge
Circumference Application:  Determine the Radius
Ex: Area Application - Area of an Inner Room with a Outer Footing
Application: Find the Radius of a Circle Given the Area

Roman Numerals

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

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