For meetings prior to Fall 2018, visit the Circle Archive.
|Advanced||Beginners||Breaking Numbers into Parts||Early Elementary I||Early Elementary II||High School I||High School II||Junior Circle||Olympiad Training|
|10/7/2018| [Show less]
We will start the school year with an an overview of math problems and puzzles involving a chessboard (with and without chess pieces) and solving techniques including tiling, coloring and invariance principle.
|10/14/2018| [Show less]
In this meeting we will explore the symmetries of different objects like squares, rectangles, and coins. We will see how these symmetries interact with each other to form a structure called a group.
|10/21/2018| [Show less]
Having experimented with the groups of symmetries of the rectangle+string model, we will define groups and explore associated concepts such as subgroups, group actions, isomorphisms, orbits, and stabilizers.
|10/28/2018| [Show less]
In this meeting, our goal is to construct a strange new geometry where straight lines are circles and triangles have angles that sum to less than 180. We start with circle inversions and then introduce the Poincaré disc model.
|11/4/2018| [Show less]
We will continue our exploration of the Poincaré disc and prove facts about hyperbolic lines and shapes.
|11/11/2018| [Show less]
We will keep working in the Poincare disc and discover phenomena peculiar to hyperbolic geometry such as AAA congruence, Lobachevskii's Theorem, and Schweikart's constant.
|11/18/2018| [Show less]
We look at more peculiar hyperbolic facts, like the hyperbolic Pythagorean theorem and the angle of parallelism.