Arizona Math Standard: MP.8
Look for and express regularity in repeated reasoning.
Gr 1-4 
What’s In My Brain: H vs Arrow
Two columns. One is an example, one isn’t. Can you figure out the hidden rule before the big reveal?
Contig
Roll three dice and combine them using any mathematical operation. But be strategic to maximize your points!
What’s In My Brain: Pentagon vs Pentagon
We’re looking at regular vs irregular polygons.
Factors and Codes: First Names (Episode 2)
Scrambled up somewhere in 161,000 is a first name. Can you find it!?
Letters With Symmetry
Let’s group letters by their symmetry, then create symmetrical words, and then symmetrical sentences!
Crossing Every Bridge Exactly Once (aka Eulerian Paths)
How can you cross each bridge in this city exactly once?
Math Curiosity: Magic Triangles
Can you make each side of this triangle add up to 9 using the digits 1-6?
Geometry Image: Esplanade Theaters
What odd and interesting shapes can your students find in this geometric image?
Geometry Image: Victoria Conference Center
What odd and interesting shapes can your students find in this geometric image?
An Olympic Sized Pool and Jet Fuel (Episode 3)
How many times could you fill up a jet plane using the fuel that would fit in an olympic-sized pool?
An Olympic Sized Pool and Lots of Pasta (Episode 2)
How many pounds of pasta could you cook using the water in an olympic-sized pool?
An Olympic Sized Pool and 2 Liter Bottles (Episode 1)
How many 2 liter bottles could you fill up using the water in an olympic-sized pool?
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.
Geometry Image: Skytree
What odd and interesting shapes can your students find in this geometric image?
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.
Geometry Image: Steigerwald
What odd and interesting shapes can your students find in this geometric image?
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.
Special Gifts with Special Requirements
Your special friends sure have some unique gift needs!
What’s the Pattern? Fraction Addition
Can your students figure out how to add fractions by looking for a pattern?
Find The Pattern: Multiply Fractions
What if you set the stage for students to discover how to multiply fractions?
Olympics: Medals by Population
Do big countries always have the most medals? Which smaller countries rank surprisingly high in the Olympics?
Olympics: Winter vs Summer Medal Count
Which country has a great balance between their summer and winter Olympic medals?
Fizz Buzz: A Counting and Divisibility Game
Ready for a tricky counting and divisibility game?
How Many Ways: Fractions Divide Equals 2/3
One equation. Digits one through nine. How many ways can you make it work?
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?
Fractions: Decompose and Recompose
What if we took a fraction apart, then took those pieces apart, then recombined them, and then recombined those, arriving back to the original fraction?
Measurement: An Elephant
What if I told you that an elephant weighed a back-breaking 176,000? Could you figure out the unit I’m using? But… how many corgis would that be?
Measurement: A Long Movie
What if I told you a movie was a whopping 0.017 long? Could you figure out the unit I’m using? This lesson packs in strange measurements of time as well as tiny decimals.
Measurement: How Old Is Mr. Byrd?
What if I told you that I’m 341,640 old? Could you figure out what unit I’m using? Hint: it’s not years!
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.
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!
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!?
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!
Disneyland Parking Structure Math Project
Your students will use estimation strategies to figure out how many parking spots are there in the parking structure at Disneyland? And you bet I reveal the real answer!
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.
What’s In My Brain: Trapezoids or Not?
Which are trapezoids and which are not?
How Many Ways: Fraction Equivalence
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: Times Equals Minus
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: Times Equals Times
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: Order of Operations 1
How many different ways can you make this math statement true using only the digits one through nine?
Same Perimeter, Different Area For Rectangles
Can two rectangles have the same perimeter but… different areas!?
Intersecting Angles and Streets
There can never be just one angle.
Undoing Multiplication With Division
Multiplication and division, natural foes, are constantly seeking to undo each other. Students will attempt to reverse the effects of multiplication by dividing once, twice, or even thrice!
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: Four Squares
Every positive integer can be written as the sum of (at most) four perfect 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!
Math Curiosity: The Coloring Problem
No video gets me more email from students! How few colors can you use to color in any map so that no two, neighboring regions are the same color?
Why Is Our Calendar So Weird!?
Why are there 12 months? Why don’t weeks fit into months evenly? Why don’t weeks fit into the year evenly? What’s going on with the calendar!
The Angles of a Triangle
Why tell a kid the rules of a triangle when they can discover them!?
Grouping Quadrilaterals In A Hierarchy
Can we classify quadrilaterals like we classify living things?
Deducing the Area of Triangles
Using patterns, students try to deduce where that area formula came from.
Analyzing Movies’ Success
So should we make another movie in this series?
Finding The Volume of Laptops
How has the volume of laptops changed over time? You know you want to check out how huge those first versions were!
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
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!
Math Curiosity: Waring’s Conjecture
So, can you write every odd (greater than 3) as the sum of three primes?
A Caffeine Investigation – Part 1
So… just how much caffeine can you have before you end up in the ER?
Math Curiosity: Primes and Squares
Can any perfect square be written as the sum of two primes?
What Do Mean and Median Mean?
When will mean and median give us different results?
Math Curiosity: Legendre’s Conjecture
It seems like there’s always a prime number between two perfect squares… but is this always the case!?
Math Curiosity: Finding Primes
Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!
Math Curiosity: Twin Primes
What do you call two prime numbers who are very close together?
Percents and Credit Cards
Let’s buy something expensive with a credit card and then make only the minumum payments!
Discovering Pi With Sticky Notes
Pi is mysterious and strange! Why not let students discover it on their own?
Exploring Circumference With Famous Circles
Let’s find how the diameter and circumference of famous circles are related.
How Many Students Can Fit On The Playground?
So… just how many kids could we cram onto the playground?
Math Curiosity: Palindromic Number Conjecture
Using this one weird trick, it seems that you can turn any number into a palindrome!
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…
Furnishing A Hotel
Design and furnish hotel rooms on a budget. Real math, real constraints, real decisions. Then pitch your hotel to investors.