Broken Calculator: Multiplication Cross Product
Broken Calculator: 2-Digit Addition
Math Curiosity: Magic Triangles
Can you make each side of this triangle add up to 9 using the digits 1-6?
How Many Will There Be? Chip Off The Block
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Earthworm
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Courtyard
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Checkerboard
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Crosses
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Squares in Squares
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
Racetrack – Race Around A Graph
How fast do you get your mathematical car going without crashing?
How Many Ways: Fractions Multiply 2/3
How many different ways can you make this fraction multiplication statement true using only the digits one through nine?
How Many Will There Be? Pyramids
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Sliced Circles
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Xs and Os
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Desks
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Stairs
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Flowers
These flowers sure are getting bigger faster! How large will they be in step 10? What about step 50?
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!
How Many Will There Be? Triangles Within Triangles
A triangle splits and splits and splits again. How many will there be in step 20?
Math Curiosity: Klauber’s Triangle
In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.
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!
Math Curiosity: A Pattern Packed Triangle
Pascal’s pattern-packed triangle is a potent puzzle for pupils to ponder.
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!
Parentheses: How big of a change can they make!?
Two tiny parentheses. One expression. How big of a change can they make? Bigger than you think.
How Many Ways: Times Equals Minus
How many different ways can you make this math statement true using only the digits one through nine?
Exponents – How Low Can They Go?
Using exponent patterns, can students predict what the 0th power will be?
Calculators, Patterns, and Multiplying By Decimals
Before teaching students the procedure for multiplying with decimals, how much can they intuitively glean from a structured play session with calculators?
Rounding Numbers (But Not To 10)
What could we possibly do to make rounding more interesting for students who already get it? In this series, students consider how they might round to values other than “the nearest 10.” How, for example, do we round to the nearest 9? 7? 15?
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
Math Curiosity: Primes and Squares
Can any perfect square be written as the sum of two primes?
Math Curiosity: Twin Primes
What do you call two prime numbers who are very close together?
Math Curiosity: Palindromic Number Conjecture
Using this one weird trick, it seems that you can turn any number into a palindrome!
The Game of 100
Who can get to 100 first in this simple, but delightful, math game?
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…