The mysterious number Pi shows up all over mathematics. But where does it come from, and how could we calculate it from scratch? In this circle we’ll travel back in time and tackle the mystery the way ancient mathematicians did, using only geometry. We’ll build and analyze triangles inside a circle, explore the Pythagorean Theorem from the ground up (no prior knowledge needed!), and use these tools to get closer and closer to Pi. Along the way we'll be able to connect our work to real‑world questions like estimating the distance the Earth travels around the Sun.
Note - Circle Prerequisite: Comfort with square roots
Long ago, when dragons ruled the earth, four powerful dragons kept the world in balance working together to solve the challenges that appeared on Dragon Island. But one day, everything changed. One of the dragons mysteriously vanished. As darkness spread across the land, the remaining dragons felt their powers slowly fading.
What happened to the missing dragon? Why is the balance breaking? And how can it be restored?
Note: There are no prerequisites for this circle.
Pi is a ratio that allows us to make calculations on a circle, but do polygons have their own versions of pi? In this circle, we will use the circle as a basis for thinking about how to calculate ratios in other shapes. Pi, as we know it, is useful for a radius or diameter, but what happens when we start connecting random points on a circle? This will lead us to the basis for trigonometry!
Note - Circle Prerequisites:
(1) Can use the Pythagorean Theorem
(2) Has not explored the concept of pi beyond circles
This circle is currently full. Should more participants enroll, we will open a waitlist. To express interest, please reach out to us at info@theglobalmathcircle.org.
To maximize their lifespan, some mattresses require regular flipping and rotation. This raises interesting questions: How many different ways can a mattress be oriented? Furthermore, can we create simple, foolproof instructions that even our parents can follow to ensure all our mattresses achieve their maximum lifespan?
Note - Circle Prerequisites:
(1) Basic ability to form a logical argument
(2) Does not know about algebraic groups
How long can we make a sequence game go on? In this circle, we’ll look at an interesting “game” and explore how long we can make different sequences last. We will examine the patterns, and find out if the game is always doomed to end or if we can make it go on forever. What happens if we change the rules? Does it change our outcomes?
Note - Circle Prerequisite:
- Can do subtraction easily
In this circle, we'll take an in-depth look at geometry's favorite shape: the triangle! The features of these shapes extend far beyond what we learn in geometry class, and there's much to discover. Let's draw together, and explore the world of nature's strongest shape!
Note: There are no prerequisites for this circle.
This circle is currently full. Should more participants enroll, we will open a waitlist. To express interest, please reach out to us at info@theglobalmathcircle.org.
Long ago, the world was ruled by four powerful Kingdoms: Fire, Water, Air, and Earth. Each Kingdom believed it was the most important and refused to work with the others. Their lands grew apart, and with time, they stopped talking entirely.
But now, a mysterious force is threatening to break the world into pieces. Will the four Kingdoms reunite and solve this strange puzzle?
Note: There are no prerequisites for this circle.
We can identify properties of a cube by looking at it, making a net of its shape, or making cuts in it to see what we find. How could we determine the properties of a 4-dimensional cube? What about an n-dimensional one? In this circle, we will explore properties of cubes beyond our visual comprehension. What might we find?
Note - Circle Prerequisites:
(1) Understands properties of 2D and 3D shapes (vertices, faces, lines)
(2) Has not explored this in depth with a hypercube
In this circle, we'll stretch our minds into higher dimensions: how do the shapes there work, and what can we say about them? Join us as we make the unimaginable manageable!
Note: There are no prerequisites for this circle.