Click to download the playlist as a pdf: Arithmetic / Prealgebra Playlist

Whole Numbers Operations

Place Value and Writing Numbers

Whole Numbers:  Place Value and Expanded Form
Ex:  Identifying Whole Numbers on the Number Line
Ex:  Determining Place Value
Ex:  Write a Whole Number in Digits from Words
Ex: Numbers  Less Than and Greater a Given Value

Adding and Subtracting Whole Number
Model Addition of Two Digit Whole Numbers Using Base Ten Blocks
Model Addition of Three Digit Whole Numbers Using Base Ten Blocks
Adding Whole Numbers
Example:  Adding Whole Numbers
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
Subtracting Whole Numbers
Example:  Subtracting Whole Numbers

Multiplying and Dividing Whole Numbers
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
Lattice Multiplication - Whole Number Multiplication
Multiplying Whole Numbers Using Area and Partial Products
Example:  Multiplying Whole Numbers
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
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)
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)

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

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
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 and Order of Operations

Order of Operations  (L1.1)
Order of Operations with Whole Numbers
Ex: Evaluate an Expressing Using the Order of Operations
Ex: Evaluate Expressions - Square of a Sum and the Sum of Squares
Examples:  Evaluate Exponential Expressions
Ex:  Evaluate Exponential Expression
Example 1:  Evaluate An Expression Using The Order of Operations
Example 2:  Evaluate An Expression Using The Order of Operation
Example 3:  Evaluate An Expression Using The Order of Operation
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)

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

Order of Operations 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
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

 

Integers

Introduction to Integers

Introduction to Integers
Ex: Compare Integers Using An Inequality Symbol
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
Ex:  Comparing Integers Using Inequalities
Ex:  Comparing Absolute Value of Integers
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|

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 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)
Subtracting Integers – The Basics
Ex:  Use Color Counter to Show Subtracting a Negative is the Same As Adding a Positive
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)

Multiplying and Dividing Integers

Multiplying Integers Using Two Color Counters (No Zeros Needed)
Multiplying Integers Using Two Color Counters (Zeros Needed)
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
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)

 

Evaluating Expressions using Integers

Examples:  Evaluating Negative Numbers Raised to Powers
Order of Operations
Ex:  Evaluate Expressions Involving Integer Addition
Ex:  Evaluate a Sum of Integers Raised to a Power
Ex 1:  Evaluate Expressions Involving Integer Subtraction
Ex 2:  Evaluate Expressions Involving Integer Subtraction
Ex:  Evaluate an Expression Involving Integer Operations
Ex:  Simplify an Expression With Integers Using the Order of Operations
Ex 1:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 2:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 3:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 4:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 5:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 6:  Simplify Expressions Involving Integers Using the Order of Operations
Ex 7:  Simplify Expressions Involving Integers Using the Order of Operations
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))

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

Solving One-Step and Two-Step Equations

Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Left)
Ex:  Solving One Step Equation by Add/Subtracting Integers (Var on Right)
Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Left)
Ex:  Solving One Step Equation by Mult/Div.  Integers (Var on Right)
Ex:  Solving One Step Equation in the Form:  -x = a
Ex 1:  Solving Two-Step Equations Using Integers
Ex 2:  Solving Two-Step Equations Using Integers

Fractions

Factors, Prime Factors, and Least Common Factors

Divisibility Rules
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
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

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
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 Three Signed Fractions
Ex:  Multiplying Fractions with Variables
Ex:  Multiplying Signed Fractions Containing Variables
Ex:  Fractions Raised to a Powers
Ex:  Negative Fractions Raised to Powers
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
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
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

Adding and Subtracting Fractions

Determine a Least Common Denominator and Equivalent Fractions
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
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
Ex:  Ordering Fractions with Unlike Denominators from Least to Greatest

Introduction to Improper Fractions and Mixed Numbers

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

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
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
Review:  Multiplication and Division of Fractions and Mixed Numbers

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

Fractions on the Graphing Calculator

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

Order of Operations with Fractions

Order of Operations Involving Fractions
Ex 1:  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 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
Ex:  Area of a Triangle Involving Fractions
Ex 1:  Application Involving Fraction Multiplication
Ex 2:  Application Involving Fraction Multiplication
Ex:  Recipe Application:  Multiplication of Mixed Number
Ex 1:  Application Involving Fraction Division
Ex 2:  Application Involving Fraction Division
Ex 1:  Application Involving Mixed Number Multiplication (fabric cost)
Ex 2:  Application Involving Mixed Number Multiplication (recipe)
Ex 3:  Application Involving Mixed Number Multiplication (gas mileage)
Fraction Application - Determining Horsepower
Fraction Application – Surface Area and Weight of a Tank
Complex Fraction Application - Total Resistance of a Parallel Circuit
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
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
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
Ex:  Writing a Decimal as a Simplified Fraction

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 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

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
Multiplying Decimals
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

Simplify Decimal Expressions

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

Decimal Applications

Ex:  Determine the Area of a Rectangle Using Decimals
Ex:  Determine the Area of an L-shaped Polygon Using Decimals
Ex: Determine Weekly Pay with Overtime

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
Introduction to Square Roots With Area
Simplify Square Roots (Perfect Squares)
Ex:  Simplifying Square Roots (perfect squares)
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)

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
Rates and Unit Rates
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

Proportions

Introduction to Proportions
Proportions
Proportions - Intro, Cross Product, and Applications
Solving Proportions (L6.2)
Ex:  Solving Basic Proportions
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
Ex 1:  Relating Fractions, Decimals, and Percents
Ex 2:  Relating Fractions, Decimals, and Percents
Find the Percent of a Number

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)

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

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
Properties of Exponents 
A Discussion:  Zero to the Power of Zero - 0^0
The Zero Exponent
Ex:  Write Repeated Multiplication Using Exponents
Ex:  Expanding and Evaluating Exponential Notation
Ex:  Simplify Exponential Expressions - Product and Power Rule
Ex:  Simplify Exponential Expressions - Quotient Rule
Ex 1:  Simplify Exponential Expressions - Positive Exponents Only
Ex 2:  Simplify Exponential Expressions - Positive Exponents Only
Ex 3:  Simplify Exponential Expressions - Positive Exponents Only
Ex: Raising Fractions to Powers
Ex: Quotient Rule of Exponents (Positive and Negative)
Ex: Simplify Quotients with Different Bases and Negative Exponents
Order of Operations – The Basics
Order of Operations

Scientific Notation

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

Evaluating Expressions Using the Order of Operations

Introduction to 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)
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)

Metric Units

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

Converting Between Standard and Metric Units

American to Metric and Metric to American Conversions
Ex:  Convert Lengths Between the Standard and Metric System
Ex:  Convert Weight Between the Standard and Metric System
Ex:  Convert Volume Between the Standard and Metric System
Ex: Convert Height in Feet and Inches to Inches, Centimeters, and Meters
Equations to convert between Celsius and Fahrenheit
Ex:  Convert Temperature from Celsius to Fahrenheit
Ex:  Convert Temperature from Fahrenheit to Celsius
Time Conversions

Unit Scale and Scale Factor

Unit Scale
Scale Factor
Proportion Applications: Map Scale Factor (Clear Fractions, No Cross Products)

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

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
Circle  Graphs or Pie Charts:  Part 1, Part 2

Geometry

Area

Area and Perimeter Formulas
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
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

Perimeter

Area and Perimeter Formulas
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

Volume / Surface Area / Misc

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
Ex: Volume of a Pyramid

               
Geometric Applications

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

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

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