Have you ever thought about what the basic arithmetic operations really are? Is there a reason why addition, subtraction, multiplication, and division are the most common operations that we use? What if we invented new operations? And what if these operations could work on objects that aren't even numbers? Join us as we discover an abstract world of the algebra and arithmetic we thought we already knew!
Note - Circle Prerequisites: Has completed Algebra 1 or equivalent
Let's say a teacher wants to divide their students into small groups for each class, and wants the groups to be different every time. How long can they teach their course for before they have to re-use groups? This question, and the expansive world of combinatorial explorations it leads to, will be the focus of our circle. It'll be an exciting dive into a fascinating and creative subject area!
Note - Circle Prerequisites:
(1) Solid multiplication skills
(2) Does not have extensive experience with combinatorics
Martina, a clumsy mermaid with a deep love for math mysteries, dives into the enchanting depths of The Sea Star Shore. One day, while exploring the deepest parts of the Shore, she discovers a chest inlaid with intricate symbols. The chest is said to hold the secrets of the ocean, but to unlock it, Martina must solve a series of challenges. Will you join Martina on this quest to decode the mysteries of the ocean?
Note: This is an all-girls circle. There are no prerequisites for this circle.
This is a follow-on circle from last semester's Calculus from Scratch. Join us to uncover some even more powerful techniques in calculus, and to delve into even more new territory! What we cover will depend on where we leave off in the previous circle, but we may be exploring the behavior of functions as they approach infinity, calculating the volumes of crazy 3D shapes, and more!
Note - Circle Prerequisites: Completion of Calculus from Scratch
Let's say we have a finite number of points (at least two) in the plane and they're not all in a line. Is it possible to arrange them so that you can't draw a line that passes through only two of the points? How (or, why not)? Join us as we tackle this and other difficult geometry challenges!
Note - Circle Prerequisites:
(1) Completion of pre-algebra
(2) Familiarity with solving algebraic equations and simplifying fraction expressions with variables
Barry, a brave and clever capybara with a love for math mysteries, embarks on an exciting journey to The Island. Barry likes puzzles that involve connecting spaces, such as finding paths through mazes, solving bridge-crossing challenges, and uncovering hidden patterns in graphs. One day, while exploring a dense forest, Barry stumbles upon an ancient map that leads to a cave called The Chaos Cave. Will you join Barry in solving this spatial puzzle and uncovering the secrets of the ancient map?
Note: There are no prerequisites for this circle.
Godzilla: Destroyer of cities or misunderstood architect? Godzilla has a unique hobby: demolishing buildings and creatively reconstructing them like Legos. This "smash and rebuild" cycle repeats over and over.
This circle will delve into the long-term effects of Godzilla's "renovation projects" with a mathematical lens to study and ultimately predict the fascinating patterns that emerge from Godzilla's seemingly chaotic endeavors. Through this exploration, we'll gain insights into the surprising order that can arise from chaotic events and discover the elegance of mathematics in modeling even the most fantastical scenarios.
Note: There are no prerequisites for this circle.
Dash is a curious explorer who has always been captivated by the mysteries of the Amazon. One day, while exploring the great rainforest, Dash stumbles upon a peculiar stone covered in geometric patterns and cryptic diagrams that look like a maze, which hint at the existence of a hidden temple deep within the jungle. Dash must solve puzzles involving tessellations, symmetry, and angles in order to uncover the path to the temple. Will you join Dash on this journey to unlock the secrets of The Hidden Temple?
Note: There are no prerequisites for this circle.
