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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.

2023-2024 Materials

Number Sense

Geometry & Measurement

Algebra

Data Management

Computational Thinking

2023 - 2024 Weekly Presentations and Exercises

Fall 2023
Grade 6	Week 1 - Area, Volume, and Optimization [Lesson, Problem Set, Solutions] Week 2 - Conic Sections [Problem Set, Worksheet] Week 3 - Newton's Second Law [Lesson, Problem Set, Solutions] Week 4 - BCC Preparation [Lesson] Week 5 - Inequalities and Absolute Values [Lesson, Problem Set, Solutions] Week 6 - Encryption [Lesson, Problem Set, Solutions] Week 7 - Matrices [Lesson, Problem Set, Solutions] Week 8 - Jeopardy [Slides]
Grade 7/8	Week 1 - Constructable Numbers [Lesson, Problem Set, Solutions] Week 2 - Platonic Solids [Lesson, Problem Set, Solutions] Week 3 - Intro to Proofs [Lesson, Problem Set, Solutions] Week 4 - BCC Preparation [Lesson] Week 5 - Geometric Sequences [Lesson, Problem Set, Solutions] Week 6 - Types of Numbers [Lesson, Problem Set, Solutions] Week 7 - Parabolas [Lesson, Problem Set, Solutions] Week 8 - Jeopardy [Slides]
Grade 9/10	Week 1 - Euclidean and non-Euclidean Geometry [Lesson & Problems] Week 2 - Euclidean and non-Euclidean Geometry [Lesson] Week 3 - Euclidean and non-Euclidean Geometry [Lesson] Week 4 - Graph Theory [Lesson, Problem Set, Solutions] Week 5 - Graph Theory [Lesson, Problem Set, Solutions] Week 6 - Number Theory [Lesson, Problem Set] Week 7 - Number Theory [Lesson, Problem Set] Week 8 - Number Theory [Lesson, Problem Set]
Grade 11/12	Week 1 - Digital Signal Processing [Lesson, Solutions] Week 2 - Signal Processing [Lesson, Solutions] Week 3 - Signal Processing [Lesson, Solutions] Week 4 - P-adic Numbers [Lesson, Problem Set, Solutions] Week 5 - P-adic Numbers [Lesson, Problem Set, Solutions] Week 6 - Grover's Algorithm [Lesson Part 1, Lesson Part 2]

Winter 2024
Grade 6	Week 1 - Divisibility [Lesson, Problem Set, Solutions] Week 2 - Knights and Knaves [Lesson, Problem Set, Solutions] Week 3 - Arithmetic Sequences [Lesson, Problem Set, Solutions] Week 4 - Gauss Prep [Lesson, Problem Set, Solutions] Week 5 - Binomial Coefficient [Lesson, Problem Set, Solutions] Week 6 - Math Paradoxes [Lesson, Problem Set, Solutions] Week 7 - Measurement and Number Systems [Lesson, Problem Set, Solutions] Week 8 - Jeopardy [Slides]
Grade 7/8	Week 1 - Pigeonhole Principle [Lesson, Problem Set, Solutions] Week 2 - Trigonometric Ratios [Lesson, Problem Set, Solutions] Week 3 - Graph Isomorphisms [Lesson, Problem Set, Solutions] Week 4 - Gauss Prep [Lesson, Problem Set (Grade 7), Problem Set (Grade 8), Problem Set (Challenging), Solutions] Week 5 - Medical Diagnosis Tests [Lesson, Problem Set, Solutions] Week 6 - Polynomials [Lesson, Problem Set, Solutions] Week 7 - Continued Fractions [Lesson, Problem Set, Solutions] Week 8 - Jeopardy [Slides]
Grade 9/10	Week 1 - Intro to Combinatorics [Lesson, Problem Set, Solutions] Week 2 - Intro to Combinatorics [Lesson, Problem Set, Solutions] Week 3 - Combinatorics (Pascal's Triangle) [Lesson, Problem Set, Solutions] Week 4 - Cryptography [Lesson, Notes & Exercises] Week 5 - Cryptography [Lesson] Week 6 - Probability [Lesson, Problem Set, Solutions] Week 7 - Probability 2 [Lesson, Problem Set, Solutions] Week 8 - Probability 3 [Lesson, Problem Set, Solutions]
Grade 11/12	Week 1 - From Matrices to Neural Networks [Lesson, Problem Set, Solutions] Week 2 - Limits [Lesson, Problem Set, Solutions] Week 3 - Neural Networks [Lesson, Problem Set, Solutions] Weeks 4 & 5 - Population Modeling [Lesson, Problem Set, Solutions, Appendix] Week 6 - Primality Testing [Lesson, Problem Set, Solutions] Week 7 - Primality Testing 2 [Lesson, Problem Set, Solutions] Week 8 - Primality Testing 3 [Lesson, Problem Set, Solutions]

CEMC
University of Waterloo, MC 6203
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
Phone: 519 888 4808
Fax: 519 746 6592

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.