## 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