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Math Circles Presentations

Math Circles lessons from prior years have been organized by themes. A lesson may have more than one theme. These resources are provided for both students and teachers. Please use them!

Information about the audience, dates and location.

2022-2023 Materials Number Sense Geometry & Measurement Algebra Data Management Computational Thinking

2022 - 2023 Weekly Presentations and Exercises


Fall 2022
Grade 6
Oct 2022, Week 1 - Number Systems [Lesson, Problem Set, Solutions]

Oct 2022, Week 2 - Counting [Lesson, Problem Set, Solutions]

Oct 2022, Week 3 - Mathematical Logic [Lesson, Problem Set, Solutions]

Nov 2022, Week 4 - BCC Prep [Lesson, Problem Set, Solutions]

Nov 2022, Week 5 - Set Theory [Lesson, Problem Set, Solutions]

Nov 2022, Week 6 - Geometric Constructions [Lesson, Problem Set, Solutions]

Nov 2022, Week 7 - Pascal's Triangle [Lesson, Problem Set, Solutions]

Nov 2022, Week 8 - Jeopardy [Slides]

Grade 7/8
Oct 2022, Week 1 - Recursive Sequences [Lesson, Problem Set, Solutions]

Oct 2022, Week 2 - Mathematical Logic [Lesson, Problem Set, Solutions]

Oct 2022, Week 3 - Radians [Lesson, Problem Set, Solutions]

Nov 2022, Week 4 - Gauss Prep [Lesson, Problem Set & Solutions]

Nov 2022, Week 5 - Induction [Lesson, Problem Set, Solutions]

Nov 2022, Week 6 - Modular Arithmetic [Lesson, Problem Set, Solutions]

Nov 2022, Week 7 - Complex Numbers [Lesson, Problem Set, Solutions]

Nov 2022, Week 8 - Jeopardy [Slides]

Grade 9/10
Oct 2022, Weeks 1 & 2 - Problem Solving With Algorithms 1 [Lesson, Handouts]

Oct 2022, Week 3 - Problem Solving With Algorithms 2 [Lesson, Handouts]

Nov 2022, Week 4 - Pigeonhole Principle 1 [Lesson, Problem Set, Solutions]

Nov 2022, Week 5 - Pigeonhole Principle 2 [Lesson, Problem Set, Solutions]

Nov 2022, Week 6 - Pigeonhole Principle 3 [Lesson, Problem Set, Solutions]

Nov 2022, Week 7 & 8 - Formal Logic [Lesson, Problem Set, Solutions]

Grade 11/12
Oct 2022, Week 1 - Special Relativity 1 [Lesson]

Oct 2022, Week 2 - Special Relativity 2 [Lesson]

Oct 2022, Week 3 - Special Relativity 3 [Lesson]

Nov 2022, Week 4 - The Mathematics of Climate Change 1 [Lesson]

Nov 2022, Week 5 - The Mathematics of Climate Change 2 [Lesson]

Nov 2022, Week 6 - The Mathematics of Climate Change 3 [Lesson]

Nov 2022, Weeks 4,5,6 - The Mathematics of Climate Change 1,2,3 [Slides]

Nov 2022, Week 7 - Generating Functions [Lesson, Problem Set, Solutions]

Nov 2022, Week 8 - Generating Functions [Lesson, Problem Set, Solutions]


Winter 2023
Grade 6
Feb 2023, Week 1 - Functions, Relations, and Graphing [Lesson, Problem Set, Solutions]

Feb 2023, Week 2 - Graph Theory [Lesson, Problem Set, Solutions]

Feb 2023, Week 3 - Logic Puzzles [Lesson, Problem Set, Solutions]

Feb 2023, Week 4 - BCC/Gauss Prep [Lesson, Problem Set, Solutions]

Mar 2023, Week 5 - Transformations [Lesson, Problem Set, Solutions]

Mar 2023, Week 6 - Control Flow [Lesson, Problem Set, Solutions]

Grade 7/8
Feb 2023, Week 1 - Circle Geometry [Lesson, Problem Set, Solutions]

Feb 2023, Week 2 - Prime Factorization [Lesson, Problem Set, Solutions]

Feb 2023, Week 3 - Musical Scales [Lesson, Problem Set, Solutions]

Feb 2023, Week 4 - BCC/Gauss Prep [Lesson, Problem Set, Solutions]

Mar 2023, Week 5 - Recursion and Stack ADTs [Lesson, Problem Set, Solutions]

Mar 2023, Week 6 - Trigonometry [Lesson, Problem Set, Solutions]

Grade 9/10
Feb 2023, Week 1 - Geometry and Simplicial Complexes 1 [Lesson, Problem Set, Solutions]

Feb 2023, Week 2 - Geometry and Simplicial Complexes 2 [Lesson, Problem Set, Solutions]

Feb 2023, Week 3 - Geometry and Simplicial Complexes 3 [Lesson, Problem Set, Solutions]

Feb 2023, Week 4 - Sorting Algorithms 1 [Lesson & Problem Set, Solutions]

Mar 2023, Week 5 - Sorting Algorithms 2 [Lesson, Problem Set & Solutions]

Mar 2023, Week 6 - Introduction to Group Theory 1 [Lesson, Problem Set, Solutions]

Grade 11/12
Feb 2023, Week 1 - The Insolvability of the Quintic 1 [Problem Set, Solutions]

Feb 2023, Week 2 - The Insolvability of the Quintic 2 [Problem Set, Solutions]

Feb 2023, Week 3 - The Insolvability of the Quintic 3 [Problem Set, Solutions]

Feb 2023, Week 4 - Dynamical Systems and Fractals 1 [Lesson, Problem Set, Solutions]

Mar 2023, Week 5 - Dynamical Systems and Fractals 2 [Lesson, Problem Set, Solutions]

Mar 2023, Week 6 - Introduction to Machine Learning [Lesson, Problem Set, Solutions]