Skip to the content of the web site.

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

Number Sense

(Numeration, Numbers, Number Theory, Financial Literacy)


Within each theme, lessons have been further organized by grade level: Grade 6, Grade 7/8, Grade 9/10, and Grade 11/12.


Grade 6
Irrational Numbers
Lesson PDF
Problem Set PDF
Solutions PDF
Divisibility
Lesson PDF
Problem Set PDF
Solutions PDF
Percentages and Applications
Lesson PDF
Problem Set PDF
Solutions PDF
Extension PDF
Greek Alphabet
Lesson PDF
Problem Set PDF
Solutions PDF
Modular Arithmetic
Lesson PDF
Problem Set PDF
Solutions PDF
Counting
Lesson 1 PDF
Problem Set 1 PDF
Solutions 1 PDF
Lesson 2 PDF
Problem Set 2 PDF
Solutions 2 PDF
The Golden Ratio
Lesson PDF
Problem Set PDF
Solutions PDF
Set Theory
Lesson PDF
Problem Set PDF
Solutions PDF
Exponentiation
Lesson PDF
Problem Set PDF
Solutions PDF
Number Systems
Lesson PDF
Problem Set PDF
Solutions PDF
Pascal's Triangle
Lesson PDF
Problem Set PDF
Solutions PDF

Back to Top


Grade 7/8
Counting Systems
Lesson PDF
Problem Set PDF
Solutions PDF
Ancient Mathematics
Lesson PDF
Problem Set PDF
Solutions PDF
Inequalities and Absolute Values
Lesson PDF
Problem Set PDF
Solutions PDF
Extension PDF
Introduction to Vectors
Lesson PDF
Problem Set PDF
Solutions PDF
Introduction to Interest
Lesson PDF
Problem Set PDF
Solutions PDF
Squares & Radicals
Lesson PDF
Problem Set PDF
Solutions PDF
Recursive Sequences
Lesson PDF
Problem Set PDF
Solutions PDF
Radians
Lesson PDF
Problem Set PDF
Solutions PDF
Modular Arithmetic
Lesson PDF
Problem Set PDF
Solutions PDF
Prime Factorization
Lesson PDF
Problem Set PDF
Solutions PDF
Musical Scales
Lesson PDF
Problem Set PDF
Solutions PDF

Back to Top


Grade 9/10
Complex Numbers
Part 1 Video Lesson Video
Part 1 Slides Slides
Part 1 Problem Set PDF
Part 1 Solutions PDF
Part 2 Video Lesson Video
Part 2 Slides Slides
Part 2 Problem Set PDF
Part 2 Solutions PDF
Linear Diophantine Equations
Part 1 Lesson PDF
Part 1 Problem Set PDF
Part 1 Solutions PDF
Part 2 Lesson PDF
Part 2 Problem Set PDF
Part 2 Solutions PDF
Perfect Squares
Lesson PDF
Solutions PDF
Sunken Treasure
Lesson PDF
Solutions PDF
Counting
Lesson PDF
Problem Set PDF
Solutions PDF
Addition Magician
Lesson PDF
Problem Set PDF
Solutions PDF
Contest Prep
Lesson PDF
Problem Set PDF
Solutions PDF
Pigeonhole Principle
Lesson 1 PDF
Problem Set 1 PDF
Solutions 1 PDF
Lesson 2 PDF
Problem Set 2 PDF
Solutions 2 PDF
Lesson 3 PDF
Problem Set 3 PDF
Solutions 3 PDF

Back to Top


Grade 11/12
Irrationality
Lesson PDF
Solutions PDF
Transcendental Numbers
Lesson PDF
Solutions PDF
Cryptography
Lesson 1 PDF
Problem Set 1 PDF
Solutions 1 PDF
Lesson 2 PDF
Problem Set 2 PDF
Solutions 2 PDF
Cardinality
Lesson 1 PDF
Problem Set 1 PDF
Solutions 1 PDF
Lesson 2 PDF
Problem Set 2 PDF
Solutions 2 PDF
Silly Square Roots
Lesson PDF
Solutions PDF

Back to Top