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