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CCSS Math Standard: 3.OA.9

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Broken Calculator: Multiplication Cross Product Gr 3-5
Broken Calculator: 2-Digit Addition Gr 1-4
Broken Calculator: 2-Digit Subtraction Gr 1-4
Crossing Every Bridge Exactly Once (aka Eulerian Paths)
Crossing Every Bridge Exactly Once (aka Eulerian Paths)
How can you cross each bridge in this city exactly once?
Gr 2-4
Math Curiosity: Magic Triangles
Math Curiosity: Magic Triangles
Can you make each side of this triangle add up to 9 using the digits 1-6?
Gr 2-8
Fizz Buzz: A Counting and Divisibility Game
Fizz Buzz: A Counting and Divisibility Game
Ready for a tricky counting and divisibility game?
Gr 3-6
Game: Number Scrabble
Game: Number Scrabble
What if we played Tic-Tac-Toe with numbers and instead of three-in-a-row, we add up to 15? Well… then we’d have Number Scrabble!
Gr 1-6
Math Curiosity: Klauber’s Triangle
Math Curiosity: Klauber’s Triangle
In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.
Gr 2-8
Math Curiosity: Ulam Spiral
Math Curiosity: Ulam Spiral
What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!
Gr 1-4
Math Curiosity: Goldbach’s Conjecture
Math Curiosity: Goldbach’s Conjecture
Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!
Gr 1-5
Evens and Odds – Addition and Subtraction
Evens and Odds – Addition and Subtraction
When we’re adding and subtracting, do evens make odds into evens? Do odds make evens odd? Which one has… more power!?
Gr 3-4
Create Your Own Operation
Create Your Own Operation
The commutative and associative properties are a whole lot more interesting when you apply them to a mathematical operation that you created!
Gr 3-4
Exponents – How Low Can They Go?
Exponents – How Low Can They Go?
Using exponent patterns, can students predict what the 0th power will be?
Gr 3-8
Math Curiosity: Four Squares
Math Curiosity: Four Squares
Every positive integer can be written as the sum of (at most) four perfect squares!
Gr 1, 2, 3, 4, 8
Math Curiosity: Magic Squares
Math Curiosity: Magic Squares
Imagine a 3×3 square in which every row, column, and diagonal have the same sum. That’s a magic square!
Gr 1-4
Math Curiosity: Odds & Squares
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
Gr 1-4
Doubling Dollars
Doubling Dollars
Say you have a dollar. Say you can double that dollar each day: $1, $2, $4, and so on. How long will it take to reach… one million dollars? Not as long as you might think!
Gr 3-6
Math Curiosity: Primes and Squares
Math Curiosity: Primes and Squares
Can any perfect square be written as the sum of two primes?
Gr 2-4
Math Curiosity: Legendre’s Conjecture
Math Curiosity: Legendre’s Conjecture
It seems like there’s always a prime number between two perfect squares… but is this always the case!?
Gr 3-6
Math Curiosity: Finding Primes
Math Curiosity: Finding Primes
Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!
Gr 1, 2, 3, 4, 6
Math Curiosity: Twin Primes
Math Curiosity: Twin Primes
What do you call two prime numbers who are very close together?
Gr 3-5
Math Curiosity: Palindromic Number Conjecture
Math Curiosity: Palindromic Number Conjecture
Using this one weird trick, it seems that you can turn any number into a palindrome!
Gr 1-4
Math Curiosity: Collatz Conjecture
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…
Gr 1-5