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Virtual Manipulatives

Fraction Pieces Virtual Manipulative

Fraction Bars Virtual Manipulative

Decimal Square Virtual Manipulative

Integer Chips Virtual Manipulative

Cuisenaire Rods Virtual Manipulative

Whole Numbers

Introduction

Model Whole Numbers Using Base 10 Block

Determine a Whole Number Given Base 10 Blocks (Hundreds)

Regrouping Whole Numbers Using Base 10 Blocks

Factors, LCM, and GCF of Whole Numbers

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

Addition and Subtraction of Whole Numbers

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

Subtract Whole Numbers using Models (Basic)

Subtract Whole Numbers using Number Lines

Determine a Subtraction Problem Modeled on a Number Line

Intro To Subtraction: Subtracting Whole Numbers with Chips

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

Relating Addition and Subtraction of Whole Numbers

Multiplication and Division of 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)

Lattice Multiplication - Whole Number Multiplication

Multiplying Whole Numbers Using Area and Partial Products

Multiply 2 Digit Whole Numbers Using an Area Model

Division of Whole Numbers using Area (No Remainder)

Division of Whole Numbers using Area (With Remainder)

Division of Whole Numbers Involving Zero using Area

Partial Quotients - Dividing Whole Numbers

Partition Division with Base 10 Blocks: 2 Digit Divided by 1 Digit with No Remainder

Partitive Division with Base 10 Blocks: 2 Digit Divided by 1 Digit with Remainder

Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with No Remainder

Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 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

Integers

Introduction

Model Integers Multiple Ways with Integer Chips

Addition and Subtraction Integers

Adding Integers with the Same Sign Using Color Counters

Adding Integers with Different Signs Using Color Counters

Adding Integers with a Number Line (Only Number Line)

Adding Integers Using a Number Line

Adding Integers Using the Money Analogy

Subtracting Integers with Color Counters (No Extra Zeros Needed)

Subtracting Integers with Color Counters (Extra Zeros Needed)

Integer Subtraction Using the Number Line

Why is a-b = a+(-b)? Integer Chips

Why is a-(-b) = a+b? Integer Chips

Multiplying and Dividing Integers

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

Fractions

Fraction Models and Equivalent Fractions

Introduction to the Meaning of a Fraction

Determine the Value of Fraction Pieces

Draw Models of Fractions and Explain the Meaning of the Fraction

Identify Fractions Using Pattern Blocks

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

Ex: Equivalent Fractions Using a Fractions Wall

Ex: Comparing Fractions Using a Fraction Wall

Use Pattern Blocks to Determine Fraction Values Given the 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

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

Determine a Least Common Denominator and Equivalent Fractions

Determine the Numerator to Make Equivalent Fractions

Use Pattern Blocks to Determine Fraction Values Given a Nonstandard Unit

Addition and Subtraction of Fractions

Determine the Sum of Fractions Using Pattern Blocks (Nonstandard Unit)

Determine the Difference of Fractions Using Pattern Blocks (Nonstandard Unit)

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: Paper Folding to Model Addition of Fractions with Unlike Denominators

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)

Addition and Subtraction of Mixed Numbers

Ex: Find the Sum of Two Mixed Numbers Using Pattern Blocks

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

Multiplication and Division of 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

Understanding Dividing by a Fraction

Division of Fractions Using Cuisenaire Rods

Division of Fractions Using Common Denominators and Models

Division Involving Fractions - Alternative Method (Common Denominators)

Ex1: Division Involving Fractions - Compare Alternative and Traditional Methods

Ex2: Division Involving Fractions - Compare Alternative and Traditional Methods

Ex3: Division Involving Fractions - Compare Alternative and Traditional Methods

Ex4: Division Involving Signed Fractions - Compare Alternative and Traditional Methods

Multiplication and Division of 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

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 5: Division Involving Mixed Numbers - Compare Alternative and Traditional Methods

Decimals

Decimal Models

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 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

Addition and Subtraction of 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

Multiplication and Division of Decimals

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)

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)

Distribution

Ex: Model Distribution with Algebra Tiles

Ex: Model the Product of Two Binomials Using Algebra Tiles

**Percentages**

Use a Shaded 10 by 10 Grid to Write a Ratio, Decimal, and Percent

Represent a Percent or Decimal Using 10 by 10 Grids

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 Application: Determine a Sale Price Using a Tape (Bar) Diagram

Percent Application: Determine an Original Price Using a Tape (Bar) Diagram