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Imperial Library
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Index
Cover
Title Page
Copyright
Dedication
Contents
Chapter 1. Magic Marching Ants and Ancient Rome: Intro to Multiplication
Marching Ants: Arrays for Multiplication!
Ancient Rome: Rows vs. Columns
A Trip to the Toy Factory: Factors and Products
Many Mice: Multiples
Chapter 2. Pirates and Shiny Coins: Skip Counting and the Multiplication Chart
Hidden Treasure…Skip Counting!
Skip Counting with Coins to Find Multiples
The Multiplication Chart
Chapter 3. Bagels and Hammers: The Distributive Property
Splitting Bagels: The Distributive Property
The Distributive Property for Breaking Off a Ten—with a Hammer!
Multiplication Made Easier—with the Distributive Property!
Chapter 4. Bananas for Monkeys and Dinosaur Bones: Intro to Division
Division: Fair Sharing…Bananas!
Fair Sharing vs. Measurement
Untying Our Shoes! Multiplication and Division as Inverse Operations
Fact Families…and Dinosaurs!
What Now? Rethinking Division Problems as Multiplication!
Prehistoric Cave Houses: Another Way to Write Division
The Parts of Division
Using the Multiplication Chart to Find Division Answers
Chapter 5. The Core of the Times Machine: Tricks and Stories for Memorizing the Multiplication Facts!
A Quick List of Multiplication Tricks!
The Zeros
The Ones
The Twos
The Threes…and Beyond!
Chapter 6. The Multiplication Boogie: Order of Operations, Number Properties, and More!
Hungry Pandas: The Order of Operations
The Multiplication Boogie: The Commutative and Associative Properties
A Bigger Boogie: Multiplication with Multiples of 10’s, 100’s, and More!
Chapter 7. What Should We Do with Leftover Bananas?: Remainder Division
More Monkeys and Leftover Bananas—Remainders!
Multiples—and Whipped Cream! Bigger Division
Chapter 8. More Bagels and Royal Kitties: Multi-Digit Multiplication
Return of the Bagels…and the Distributive Property
Stretching Kitties…and Expanded Form
Pretty Pictures: Area and Box/Grid Methods
Itty-Bitty Kitty Stretch: Partial Products
Cowboy Kitty Roping: The Traditional Method
Chapter 9. Chocolate Bars and Window Breaking: Area and Two-by-Two Multiplication
Big Bars of Chocolate—and Area!
Grow Your Own Food: Area Models for Two-by-Two Multiplication
Don’t Break the Glass Window! Multiplication with the Box (or Grid) Method
No More Drawing: Partial Products
Cowboy Kitty, Take Two! Multiplying Two Two-Digit Numbers
Chapter 10. Fashion Models and Halloween Candy: Methods for Long Division
Trick or Treat! “Modeling” Equal Groupings
Big, Wide Bowls of Candy—Modeling in a Place Value Chart
High-Speed Freeway Lanes: The Traditional Method, aka Long Division
Candy and Freeways: A Side-by-Side Comparison of Long Division
Arrows vs. “Zeros Show Below”
My Eternal Gratitude
Answer Key
“New Math” Translation Guide—or Grown-Ups!
About the Author
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