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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]

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Waterloo, Ontario, Canada N2L 3G1
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The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land promised to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.