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Understanding Strategies
Grade 4 Think Math! Explained
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SUMmer Math
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TABLE OF CONTENTS
MAGIC SQUARES
MULTIPLICATION VOCABULARY & PROPERTIES OF NUMBERS
THE MEANING OF MULTIPLICATION
THE MEANING OF DIVISION
THE ERASER STORE
GEOMETRY
MULTIDIGIT MULTIPLICATION
LONG DIVISION
FRACTIONS
MAGIC SQUARES:
How to Solve a Magic Square
Adding Magic Squares
Subtracting Magic Squares
Multiplying Magic Squares
Dividing Magic Squares
Working Backward to Solve a Magic Square
Inverse Operations
Back to Top
MULTIPLICATION VOCABULARY & PROPERTIES OF NUMBERS:
Prime Numbers
Composite Numbers
Multiplication Vocabulary, Part I
Multiplication Vocabulary, Part II
Guess My Number Riddles
Factor Riddles
Finding Factor Pairs
More Factor and Multiple Riddles
Back to Top
THE MEANING OF MULTIPLICATION:
Splitting Up Arrays: Conservation of Amount
Multiple Ways to Split Up Arrays: Noticing Patterns
Splitting Multiplication: Moving From the Visual Representation to a Numerical Representation
Splitting Larger Arrays
Splitting Multiplication (Without the Visual)
Splitting Multiplication: Visualizing it Using Repeated Addition
Skip Counting On from a Known Fact
Back to Top
THE MEANING OF DIVISION:
Visualizing Division
Using Multiplication Facts to Help Solve Division Problems
Division Arrays
Division Arrays with Remainders
Dividing with Remainders
Back to Top
THE ERASER STORE:
Eraser Store Employee Training Video #1: Our Packages
Eraser Store Employee Training Video #2: Shorthand Notation
Eraser Store Employee Training Video #3: Counting Up Erasers
Eraser Store Employee Training Video #4: What Packages Do I Use?
Eraser Store Employee Training Video #5: Comma Notation
Eraser Store Employee Training Video #6: Fixing Regrouping Errors  Visual Representation
Eraser Store Employee Training Video #7: Fixing Regrouping Errors  Number Representation
Eraser Store Employee Training Video #8: Adding Shipments Using the Visual Method
Eraser Store Employee Training Video #9: Adding in the Eraser Store  Regrouping at the End
Eraser Store Employee Training Video #10: Adding in the Eraser Store  Regrouping as You Go
Eraser Store Employee Training Video #11: Subtracting in the Eraser Store
Eraser Store Employee Training Video #12: Multiplying in the Eraser Store
Back to Top
GEOMETRY:
Points, Lines, Segments, and Rays
Types of Lines
Comparing Angles
Ordering Angles by Size
Using a Protractor
Polygons
Acute, Obtuse, and Right Triangles
Scalene, Isosceles, and Equilateral Triangles
Classifying Triangles by Sides and Angles
The Quadrilateral Chart
Sorting Quadrilaterals
Rectangles
Rhombuses
Squares
Parallelograms
Trapezoids
Back to Top
MULTIDIGIT MULTIPLICATION:
Splitting Multiplication
Multiplying By a Power of Ten
MultiDigit Numbers Times OneDigit Numbers: The Visual Method, #1
MultiDigit Numbers Times OneDigit Numbers: The Visual Method, #2
MultiDigit Numbers Times OneDigit Numbers: The PartialProducts Method, #1
MultiDigit Numbers Times OneDigit Numbers: The PartialProducts Method, #2
MultiDigit Numbers Times MultiDigit Numbers: The Visual Method
MultiDigit Numbers Times MultiDigit Numbers: The PartialProducts Method, #1
MultiDigit Numbers Times MultiDigit Numbers: The PartialProducts Method, #2
Connecting the Visual Method and the PartialProducts Method
Grid Method of Multiplication
Grid Method  known as splitarea model in Think Math!: Do you see the connection between this model and the standard algorithm (Column method)
Back to Top
LONG DIVISION:
Using the "Zeros Trick" for Division
The Meaning of Division: Repeated Subtraction
Long Division Using the Repeated Subtraction Method
The Traditional Method
The Connection Between the Traditional Method and the Repeated Subtraction Method
Back to Top
FRACTIONS:
The Meaning of a Fraction
Fractions, Improper Fractions, and Mixed Numbers
Converting Improper Fractions to Mixed Numbers
Converting Mixed Numbers to Improper Fractions
Equivalent Fractions with Visual Models
Using Multiplication to Create Equivalent Fractions
Comparing Fractions
Adding Fractions
Subtracting Fractions
Don't Add the Denominators!
Can I Add These Fractions?
Back to Top
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MAGIC SQUARES:
 How to Solve a Magic Square
 Adding Magic Squares
 Subtracting Magic Squares
 Multiplying Magic Squares
 Dividing Magic Squares
 Working Backward to Solve a Magic Square
 Inverse Operations
Back to TopMULTIPLICATION VOCABULARY & PROPERTIES OF NUMBERS:
 Prime Numbers
 Composite Numbers
 Multiplication Vocabulary, Part I
 Multiplication Vocabulary, Part II
 Guess My Number Riddles
 Factor Riddles
 Finding Factor Pairs
 More Factor and Multiple Riddles
Back to TopTHE MEANING OF MULTIPLICATION:
 Splitting Up Arrays: Conservation of Amount
 Multiple Ways to Split Up Arrays: Noticing Patterns
 Splitting Multiplication: Moving From the Visual Representation to a Numerical Representation
 Splitting Larger Arrays
 Splitting Multiplication (Without the Visual)
 Splitting Multiplication: Visualizing it Using Repeated Addition
 Skip Counting On from a Known Fact
Back to TopTHE MEANING OF DIVISION:
 Visualizing Division
 Using Multiplication Facts to Help Solve Division Problems
 Division Arrays
 Division Arrays with Remainders
 Dividing with Remainders
Back to TopTHE ERASER STORE:
 Eraser Store Employee Training Video #1: Our Packages
 Eraser Store Employee Training Video #2: Shorthand Notation
 Eraser Store Employee Training Video #3: Counting Up Erasers
 Eraser Store Employee Training Video #4: What Packages Do I Use?
 Eraser Store Employee Training Video #5: Comma Notation
 Eraser Store Employee Training Video #6: Fixing Regrouping Errors  Visual Representation
 Eraser Store Employee Training Video #7: Fixing Regrouping Errors  Number Representation
 Eraser Store Employee Training Video #8: Adding Shipments Using the Visual Method
 Eraser Store Employee Training Video #9: Adding in the Eraser Store  Regrouping at the End
 Eraser Store Employee Training Video #10: Adding in the Eraser Store  Regrouping as You Go
 Eraser Store Employee Training Video #11: Subtracting in the Eraser Store
 Eraser Store Employee Training Video #12: Multiplying in the Eraser Store
Back to TopGEOMETRY:
 Points, Lines, Segments, and Rays
 Types of Lines
 Comparing Angles
 Ordering Angles by Size
 Using a Protractor
 Polygons
 Acute, Obtuse, and Right Triangles
 Scalene, Isosceles, and Equilateral Triangles
 Classifying Triangles by Sides and Angles
 The Quadrilateral Chart
 Sorting Quadrilaterals
 Rectangles
 Rhombuses
 Squares
 Parallelograms
 Trapezoids
Back to TopMULTIDIGIT MULTIPLICATION:
 Splitting Multiplication
 Multiplying By a Power of Ten
 MultiDigit Numbers Times OneDigit Numbers: The Visual Method, #1
 MultiDigit Numbers Times OneDigit Numbers: The Visual Method, #2
 MultiDigit Numbers Times OneDigit Numbers: The PartialProducts Method, #1
 MultiDigit Numbers Times OneDigit Numbers: The PartialProducts Method, #2
 MultiDigit Numbers Times MultiDigit Numbers: The Visual Method
 MultiDigit Numbers Times MultiDigit Numbers: The PartialProducts Method, #1
 MultiDigit Numbers Times MultiDigit Numbers: The PartialProducts Method, #2
 Connecting the Visual Method and the PartialProducts Method
 Grid Method of Multiplication
 Grid Method  known as splitarea model in Think Math!: Do you see the connection between this model and the standard algorithm (Column method)
Back to TopLONG DIVISION:
 Using the "Zeros Trick" for Division
 The Meaning of Division: Repeated Subtraction
 Long Division Using the Repeated Subtraction Method
 The Traditional Method
 The Connection Between the Traditional Method and the Repeated Subtraction Method
Back to TopFRACTIONS:
 The Meaning of a Fraction
 Fractions, Improper Fractions, and Mixed Numbers
 Converting Improper Fractions to Mixed Numbers
 Converting Mixed Numbers to Improper Fractions
 Equivalent Fractions with Visual Models
 Using Multiplication to Create Equivalent Fractions
 Comparing Fractions
 Adding Fractions
 Subtracting Fractions
 Don't Add the Denominators!
 Can I Add These Fractions?
Back to Top