# Math Curiosities

## Most Popular

### All Videos

• #### Math Curiosity: Four Squares

In this math curiosity, students investigate this fascinating pattern: every positive integer can be written as the sum of four (or fewer) perfect squares.

• #### Math Curiosity: Magic Squares

In this math curiosity, students fill in a square using a set of integers so that each row, column, and diagonal have the same sum.

• #### Math Curiosity: The Coloring Problem

Students will investigate the curious question: How few colors do you need to color in *any* map?

• #### Math Curiosity: Odds & Squares

Here's a math curiosity involving squares and odds that turns out to be true for every case.

• #### Fractals: Sierpinski’s Triangle

Sierpinski's Triangle is an example of a self-repeating shape known as a fractal. Students will learn to create their own as well as extend this idea into other shapes, leading to interesting math-based art.

• #### Fractals: Koch Snowflake

The Koch Snowflake is an example of a self-repeating shape known as a fractal. Students will learn to create their own as well as extend this idea into other shapes, leading to interesting math-based art.

• #### Math Curiosity: Waring’s Conjecture

Students will tackle Waring's curious conjecture from 1762: all odds are either primes or can be written as the sum of three primes. After 250 years, we still don't know if it's true or not!

• #### Math Curiosity: Primes and Squares

Can all perfect squares be written as two primes added together? In this exploration, students will discover interesting relationships between these types of numbers.

• #### Eulerian Paths

Have students tackle the classic "Seven Bridges of Konigsberg" problem - can you cross each bridge exactly once?

• #### Math Curiosity: Legendre’s Conjecture

It seems like there's always at least one prime number between two perfects squares. But is this always the case?

• #### Math Curiosity: Finding Primes

Prime numbers seem to appear randomly. How do we reliably find primes without dividing every number by every possible factor? The answer is thousands of years old…

• #### Math Curiosity: Twin Primes

Twin Primes are prime numbers that have a difference of two. Mathematicians think there are an infinite number, but aren't sure yet. Have your students look for patterns as they dig into the Twin Prime Conjecture.

• #### Math Curiosities

In this series, you'll expose students to curiosities, unproven conjectures, and intriguing patterns. There's no required work. Just exploration.