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Math Curiosity: Twin Primes

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

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!

Math Curiosity: Odds & Squares

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

Math Curiosity: A Pattern Packed Triangle

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

What’s In My Brain: Trapezoids or Not?

Which are trapezoids and which are not?

Math Curiosity: Klauber’s Triangle

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

A Caffeine Investigation – Part 2

What do people know about the amount of caffeine in common beverages?

Crossing Every Bridge Exactly Once (aka Eulerian Paths)

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

A Donut Investigation

In this cross-curricular investigation, students will look into an intriguing question: do donuts or salads have more sugar? They’ll grapple with misleading information, bias, and use their math skills to create a visual representation of sugar in popular foods.

Math Curiosity: Primes and Squares

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

Deducing the Area of Triangles

Using patterns, students try to deduce where that area formula came from.

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.

Analyzing Movies’ Success

So should we make another movie in this series?

Grouping Shapes by Parallel and Perpendicular Sides

Which shapes go together based on parallel and perpendicular lines?

Running A Curiosity Based Research Project

Skip the assigned topics. Let students research what they’re genuinely curious about — here’s how to structure it so it actually works.

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!

Math Curiosity: Finding Primes

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

Math Curiosity: Magic Triangles

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

Welcome, Students!

A video to welcome students to Byrdseed.TV.

Letters With Symmetry

Let’s group letters by their symmetry, then create symmetrical words, and then symmetrical sentences!

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: Palindromic Number Conjecture

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

Discovering Pi With Sticky Notes

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

Math Curiosity: Waring’s Conjecture

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

Investigating Cost of Living

Would you save money if you lived in Las Vegas and commuted every day to San Francisco?

Grouping Quadrilaterals In A Hierarchy

Can we classify quadrilaterals like we classify living things?

A Caffeine Investigation – Part 1

So… just how much caffeine can you have before you end up in the ER?

Math Curiosity: Collatz Conjecture

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

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!

The Angles of a Triangle

Why tell a kid the rules of a triangle when they can discover them!?

Math Curiosity: Legendre’s Conjecture

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