Serving advanced learners (and their teachers) since 2012.

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Mathematical Practices

Arizona Math Standard: MP.1

Make sense of problems and persevere in solving them.

Contig
Contig
Roll three dice and combine them using any mathematical operation. But be strategic to maximize your points!
Gr 1-4
What’s In My Brain: Pentagon vs Pentagon
What’s In My Brain: Pentagon vs Pentagon
We’re looking at regular vs irregular polygons.
Gr 1-8
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 1, 2, 3, 4, 8
An Olympic Sized Pool and Jet Fuel (Episode 3)
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?
Gr 3-8
An Olympic Sized Pool and Lots of Pasta (Episode 2)
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?
Gr 3-7
An Olympic Sized Pool and 2 Liter Bottles (Episode 1)
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?
Gr 3-8
How Many Will There Be? Chip Off The Block
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.
Gr 1-5
How Many Will There Be? Earthworm
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.
Gr 3-5
How Many Will There Be? Courtyard
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.
Gr 2-6
How Many Will There Be? Checkerboard
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.
Gr 3-5
How Many Will There Be? Crosses
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.
Gr 1-5
How Many Will There Be? Squares in Squares
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.
Gr 2-5
Investigating Population Changes
Investigating Population Changes
How have the ages of three countries’ populations changed from 1950 to 2020? And what problems might that create?
Gr 1, 2, 3, 6, 7, 8
Olympics: Winter vs Summer Medal Count
Olympics: Winter vs Summer Medal Count
Which country has a great balance between their summer and winter Olympic medals?
Gr 1, 2, 3, 5, 6
How Many Will There Be? Pyramids
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.
Gr 2-4
How Many Will There Be? Sliced Circles
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.
Gr 1-5
How Many Will There Be? Stairs
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.
Gr 1-5
How Many Will There Be? Flowers
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?
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 1-5
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
Disneyland Parking Structure Math Project
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!
Gr 2, 3, 4, 5, 7, 8
Math Curiosity: The Coloring Problem
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?
Gr 1
Why Is Our Calendar So Weird!?
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!
Gr 3-6
Investigating Cost of Living
Investigating Cost of Living
Would you save money if you lived in Las Vegas and commuted every day to San Francisco?
Gr 2, 4, 5, 6, 7, 8
Math Curiosity: Waring’s Conjecture
Math Curiosity: Waring’s Conjecture
So, can you write every odd (greater than 3) as the sum of three primes?
Gr 1-5
A Caffeine Investigation – Part 3
A Caffeine Investigation – Part 3
Caffeine is everywhere. But what are the ads really saying? Analyze the claims, then create your own public service announcement.
Gr 2-8
A Caffeine Investigation – Part 1
A Caffeine Investigation – Part 1
So… just how much caffeine can you have before you end up in the ER?
Gr 1, 2, 3, 6, 7
What Do Mean and Median Mean?
What Do Mean and Median Mean?
When will mean and median give us different results?
Gr 6-7
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, 4, 5, 6, 8
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
Percents and Credit Cards
Percents and Credit Cards
Let’s buy something expensive with a credit card and then make only the minumum payments!
Gr 2, 4, 5, 6, 7
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 1-5
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 1-6
Furnishing A Hotel
Furnishing A Hotel
Design and furnish hotel rooms on a budget. Real math, real constraints, real decisions. Then pitch your hotel to investors.
Gr 2, 3, 4, 5, 7