Math Curiosities

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?

Imagine a 3×3 square in which every row, column, and diagonal have the same sum. That’s a magic square!

Two tiny parentheses. One expression. How big of a change can they make? Bigger than you think.

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!

How can you cross each bridge in this city exactly once?

You could keep zooming in on this snowflake forever!

What if this triangle pattern just kept repeating… forever!?

Using this one weird trick, it seems that you can turn any number into a palindrome!

Pascal’s pattern-packed triangle is a potent puzzle for pupils to ponder.

Can you make each side of this triangle add up to 9 using the digits 1-6?

Pi is mysterious and strange! Why not let students discover it on their own?

Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!

Why does the sum of the first 5 odds also equal 5 squared?

The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…

Can any perfect square be written as the sum of two primes?

What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!

Every positive integer can be written as the sum of (at most) four perfect squares!

In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.

What do you call two prime numbers who are very close together?

So, can you write every odd (greater than 3) as the sum of three primes?

Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!

It seems like there’s always a prime number between two perfect squares… but is this always the case!?