Face-to-Face Workshops

Math Circle Presentations

The Waterloo Math Circles is a free weekly enrichment activity for grade 6 to 12 students organized by the Faculty of Mathematics of the University of Waterloo.

Information about the audience, dates and location.

Listed below are summaries of the weekly presentations and related student exercises. These resources are provided for both students and teachers. Please use them!

Winter 2013

Junior Grade 6	Feb 5-6/13 Working with Sets [pdf, solutions] Feb 12-13/13 Working with Abacuses [pdf, solutions] Feb 19-20/13 Estimation [pdf, solutions] Feb 26-27/13 Measurement [pdf, solutions] Mar 5-6/13 Mean Median Mode [pdf, solutions] Mar 19-20/13 Fractions [pdf, solutions] Mar 26-27/13 Pythagorean Theorem [pdf, solutions] Apr 2-3/13 Math Contest [pdf, solutions]
Junior Grade 7 & 8	Feb 5-6/13 Fibonacci Series [pdf, solutions] Feb 12-13/13 Pascals Triangle [pdf, solutions] Feb 19-20/13 2D Geometry [pdf, solutions] Feb 26-27/13 3D Geometry [pdf, solutions] Mar 5-6/13 Graph Theory [pdf, solutions] Mar 19-20/13 Circles, Circles, Circles [pdf, solutions] Mar 26-27/13 Gauss Preparation [pdf, solutions] Apr 2-3/13 Review Challenge [pdf, problem set, solutions]
Intermediate	Feb 6/13 Contest Preparation I [problem set, solutions] Feb 13/13 Contest Preparation II [problem set, solutions, slideshow, watch video] Feb 20/13 Analytic Geometry I [pdf, problem set, solutions] Feb 27/13 Analytic Geometry II [review, problem set, solutions, watch video] Mar 6/13 Number Theory I [pdf, problem set, solutions, watch video] Mar 20/13 Number Theory II [pdf, problem set, solutions, watch video] Mar 27/13 Sequences & Series I [pdf, problem set, solutions, watch video] Apr 3/13 Sequences & Series II [pdf, problem set, solutions, watch video]
Senior	Feb 6 & 13/13 Inversive [pdf, problem set] Feb 20/13 Inequalities [pdf, problem set, solutions] Feb 27/13 Graph Theory I [slides, problem set, solutions] Mar 6/13 Graph Theory II [slides, solutions] Mar 20/13 Graph Theory III [pdf] Mar 27 & Apr 3/13 Number Theory [pdf, solutions]

Fall 2012

Junior Grade 6	Oct 9-10/12 Patterns [pdf, solutions] Oct 16-17/12 Logic [pdf, solutions] Oct 23-24/12 Tessellations [pdf, solutions] Oct 30/12 Percent [pdf, solutions] Nov 6-7/12 Binary Numbers [pdf, solutions] Nov 13-14/12 Rates and Ratios [pdf, solutions] Nov 20-21/12 Kinematics [pdf, solutions] Nov 27-28/12 Math Contest [pdf, solutions]
Junior Grade 7 & 8	Oct 9-10/12 Sequences and Series [pdf, solutions] Oct 16-17/12 Sets and Venn Diagrams [pdf, solutions] Oct 23-24/12 Counting [pdf, solutions] Oct 30-31/12 Geometric Arithmetic [pdf, solutions] Nov 6-7/12 Cryptography [pdf, solutions] Nov 13-14/12 Factors and Primes [pdf, solutions] Nov 20-21/12 Probability [pdf, solutions] Nov 27-28/12 Gauss Math Contest [pdf, solutions]
Intermediate	Oct 10/12 Geometry I - Angles [pdf, problem set, solutions] Oct 17/12 Geometry II [pdf, problem set, solutions, watch video] Oct 24/12 Geometry III [pdf, problem set, solutions, watch video] Oct 31/12 Geometry IV [pdf, problem set, solutions, watch video] Nov 7/12 Problem Solving [pdf, problem set, solutions] Nov 14/12 Equations & Inequalities - 1 Variable [pdf, problem set, solutions, watch video] Nov 21/12 Equations & Inequalities - 2 Variables [pdf, problem set, solutions] Nov 28/12 Linear Optimization [pdf, problem set, solutions, watch video]
Senior	Oct 10/12 Basics of Set Theory [pdf] Oct 17/12 Infinite Sets [pdf, problem set] Oct 24/12 Equivalence Relations and Infinite Sets [pdf, problem set] Oct 31/12 Symbolic Logic I [pdf, problem set, solutions] Nov 7/12 Symbolic Logic II [pdf, problem set, solutions] Nov 14/12 Mathematical Induction [pdf, problem set, solutions] Nov 21/12 Iterated Functions I [pdf, problem set] Nov 28/12 Iterated Functions II [pdf, problem set]

Winter 2012

Junior Grade 6	Feb 8/12 Arithmetic Tricks [pdf, solutions] Feb 15/12 Math Puzzles [pdf, solutions] Feb 22/12 Number Theory I [pdf, solutions] Feb 29/12 2D Geometry [pdf, solutions] Mar 7/12 Measurement and Geometry [pdf, solutions] Mar 21/12 Probability of Games [pdf, solutions] Mar 28/12 Intro. Caribou Mathematics Competition [pdf, solutions] Apr 4/12 Mathifed Jeopardy [pdf, solutions]
Junior Grade 7 & 8	Feb 8/12 Speedy, Speedy Arithmetic [pdf, solutions] Feb 15/12 Ancient Geometric Constructions [pdf, solutions] Feb 22/12 Algebraic Approaches [pdf, solutions] Feb 29/12 Spatial Visualization and Origami [pdf, solutions] Mar 7/12 Introduction to Graph Theory [pdf, solutions] Mar 21/12 Circuits [pdf, solutions] Mar 28/12 Gauss Contest Preparation [pdf, solutions] Apr 4/12 Math Olympics [pdf, solutions]
Intermediate	Feb 8/12 Pascal & Cayley Contest Preparation [pdf, Problem Set, Solutions, watch video] Feb 15/12 Pascal & Cayley Contest Preparation II [pdf, Problem Set, Solutions, watch video] Feb 22/12 Pascal & Cayley Contest Preparation III [pdf, Problem Set, Solutions, watch video] Feb 29/12 Linear Diophantine Equations I [pdf, Problem Set, Solutions, watch video] Mar 7/12 Linear Diophantine Equations II [pdf, Problem Set, Solutions, watch video] Mar 21/12 Probability [pdf, Solutions, watch video] Mar 28/12 Probability: Expectation and Ruination [pdf, Solutions, watch video] Apr 4/12 The Unreasonable Effectiveness of Mathematics [watch video]
Senior	Feb 8/12 Combinatorics [pdf] Feb 15/12 Combinatorics II Set Theory [pdf] Feb 22/12 Combinatorics III [pdf, solutions] Feb 29/12 Probability, Statistics, and Bayes' Theorem I [pdf] Mar 7/12 Probability, Statistics, and Bayes' Theorem II [pdf] Mar 21/12 Probability, Statistics, and Bayes' Theorem III [pdf] Apr 4/12 Elementary Knot Theory [pdf]

Fall 2011

Junior Grade 6	Oct-5/11 Simplifying Equations [pdf, solutions] Oct-12/11 Math Magic [pdf, solutions] Oct-19/11 Ancient Number Systems [pdf, solutions] Oct-26/11 Introduction to Number Theory [pdf, solutions] Nov-2/11 Matrices I [pdf, solutions] Nov-9/11 Fibonacci and the Golden Ratio [pdf, solutions] Nov-16/11 Introduction to Topology [pdf, solutions] Nov-23/11 Jeopardy [pdf, solutions, game]
Junior Grade 7 & 8	Oct-5/11 Mental Division [pdf, solutions] Oct-12/11 Modular Arithmetic [pdf, solutions] Oct-19/11 Prime Numbers [pdf, solutions] Oct-26/11 Fractals [pdf, solutions] Nov-2/11 Dimensional Analysis [pdf, solutions] Nov-9/11 Logic Puzzles [pdf, solutions] Nov-16/11 Polygonal Numbers [pdf, solutions] Nov-23/11 Jeopardy [pdf, solutions]
Intermediate	Oct-5/11 Ratios [pdf, Problem Set, Solutions, watch video] Oct-12/11 Rates I [pdf, Problem Set, Solutions, watch video] Oct-19/11 Rates II [pdf, Problem Set, Solutions, watch video] Oct-26/11 Counting I [pdf, Problem Set, Solutions, watch video] Nov-2/11 Counting II [pdf, Problem Set, Solutions, watch video] Nov-9/11 Counting III [pdf, Problem Set, Solutions, watch video] Nov-16/11 Math Contest Preparation I [pdf, watch video] Nov-23/11 Math Contest Preparation II [pdf, watch video]
Senior	Oct-5/11 Finite Machines [pdf, Problem Set] Oct-12/11 Regular Languages [pdf, Problem Set] Oct-19/11 Regular Languages & Beyond [pdf, Problem Set] Oct-26/11 Geometry I [pdf] Nov-2/11 Geometry II [pdf] Nov-9/11 Geometry III [pdf] Nov-16/11 Solid Geometry I [pdf] Nov-23/11 Solid Geometry II [pdf, Solutions]

Winter 2011

Junior Grade 6	Feb-9/11 Cryptography and Tangrams [pdf, solutions] Feb-16/11 Surface, Area and Volume [pdf, solutions] Feb-23/11 Distance, Speed and Time [pdf, solutions] Mar-2/11 Counting [pdf, solutions] Mar-9/11 Combinations [pdf, solutions] Mar-23/11 Gauss Contest Preparation [pdf, solutions] Mar-30/11 Jeopardy [pdf, solutions]
Junior Grade 7 & 8	Feb-9/11 Cryptography and Binary Numbers [pdf, Solutions] Feb-16/11 Commission, Taxes & Discounts [pdf, Solutions] Feb-23/11 Markup & Markdown [pdf, Solutions] Mar-2/11 Probability I [pdf, Solutions] Mar-9/11 Probability II [pdf, Solutions] Mar-23/11 Gauss Contest Preparation [pdf, Solutions] Mar-30/11 Jeopardy [pdf, Solutions]
Intermediate	Feb-9/11 Math Contest Preparation I [pdf, Problem Set, Solutions, watch video] Feb-16/11 Math Contest Preparation II [pdf, Problem Set, watch video] Feb-23/11 Number Theory I [ Problem Set, Solutions, watch video] Mar-2/11 Number Theory II [ Problem Set, Solutions, watch video] Mar-9/11 Number Theory III [ Problem Set , watch video] Mar-23/11 Analytic Geometry I [pdf , Problem Set , Solutions, watch video] Mar-30/11 Analytic Geometry II [pdf , Problem Set , Solutions, watch video]
Senior	Feb-9/11 Probability I [pdf, Problem Set] Feb-16/11 Probability II [Problem Set] Feb-23/11 Number Theory I [Problem Set] Mar-2/11 Number Theory II [Problem Set] Mar-9/11 Number Theory III [Problem Set] Mar-23/11 Invariants I [Problem Set] Mar-30/11 Invariants II [Problem Set]

Fall 2010

Junior Grade 6	Oct-6/10 Exponents and Binary Numbers [pdf] Oct-13/10 Tessellations I [pdf] Oct-20/10 Tessellations II [pdf] Oct-27/10 Multiplication [pdf] Nov-3/10 Order of Operations [pdf, Solutions] Nov-10/10 Algebra [pdf, Solutions] Nov-17/10 Sequences [pdf, Solutions] Nov-24/10 Jeopardy [pdf]
Junior Grade 7 & 8	Oct-6/10 Graphs and Transformations [pdf, Solutions] Oct-13/10 Percents and Ratios [pdf, Solutions] Oct-20/10 Statistics I [pdf, Solutions] Oct-27/10 Statistics II [pdf, Solutions] Pascal's Triangle [pdf, Solutions] Nov-3/10 Number Theory [pdf] Nov-10/10 Logic [pdf] Nov-17/10 Game Theory [pdf, Solutions]
Intermediate	Oct-6/10 Geometry I [pdf, watch video] Oct-13/10 Geometry II [pdf, watch video] Oct-20/10 Geometry III [pdf, watch video] Oct-27/10 Sequences and Series I [pdf, watch video] Nov-3/10 Sequences and Series II [pdf, Problem Set, watch video] Nov-10/10 Sequences and Series III [pdf, Problem Set, watch video] Nov-17/10 Equations and Inequalities I [pdf, watch video] Nov-24/10 Equations and Inequalities II [pdf, watch video]
Senior	Oct-6/10 Induction and Sequences I [pdf, tutorial] Oct-13/10 Limits of Sequences I [pdf] Oct-20/10 Limits of Sequences II [pdf] Series [pdf] Oct-27/10 Linear Programming I [pdf] Nov-3/10 Linear Programming II [pdf] Nov-17/10 Length, Area and Volume [pdf, Problem Set]

Winter 2010

Sorry! Please download mp3 files to play

Junior	Feb-3/10 Number Theory I [pdf, download mp3, listen] Feb-10/10 Number Theory II [pdf, download mp3, listen] Feb-17/10 Exponents [pdf, download mp3, listen] Feb-24/10 Patterns [pdf, download mp3, listen] Mar-3/10 3D Geometry I [pdf, download mp3, listen] Mar-10/10 3D Geometry II [pdf, download mp3, listen] Mar-24/10 Data Analysis [pdf, download mp3, listen] Mar-31/10 Gauss Preparation [pdf]
Intermediate	Feb-3/10 Contest Preparation I [pdf] Feb-10/10 Contest Preparation II [pdf] Feb-17/10 Contest Preparation III [pdf] Feb-24/10 Linear Equations I [pdf, download mp3, listen] Mar-3/10 Linear Equations II [pdf, download mp3, listen] Mar-10/10 Linear Equations III [pdf, download mp3, listen] Mar-24/10 Random Walks I [pdf] Mar-31/10 Random Walks II [pdf]
Senior	Feb-3/10 Game Theory I [pdf] Feb-10/10 Game Theory II [pdf] Feb-17/10 Game Theory III [pdf] Feb-24/10 Probability and Expectation [pdf] Mar-3/10 Counting Techniques and Probability [pdf] Mar-10/10 Distribution and Probability [pdf]

Fall 2009

Junior	Oct-7/09 Counting [pdf, download mp3, listen] Oct-14/09 Sets [pdf, download mp3, listen] Oct-21/09 Probability [pdf, download mp3, listen] Oct-28/09 Algebra I [pdf, download mp3, listen] Nov-4/09 Algebra II [pdf, download mp3, listen] Nov-11/09 2D Geometry I [summary, lesson, download mp3, listen] Nov-18/09 2D Geometry II [pdf, download mp3, listen] Nov-25/09 2D Geometry III [pdf, download mp3, listen]
Intermediate	Oct-7/09 Ratios [pdf] Oct-14/09 Rates [pdf] Oct-21/09 Rates II [pdf] Oct-28/09 Counting I [pdf] Nov-4/09 Counting II [pdf] Nov-11/09 Counting III [pdf] Nov-18/09 Diophantine Equations I[pdf] Nov-25/09 Diophantine Equations II [pdf]
Senior	Oct-7/09 Infinite Series I [pdf] Oct-14/09 Infinite Series II [pdf] Oct-21/09 Infinite Series III [pdf] Oct-28/09 History of Equations I [pdf] Nov-4/09 History of Equations II [pdf] Nov-11/09 History of Equations III [pdf] Nov-18/09 Graph Theory I [pdf] Nov-25/09 Graph Theory II [pdf]

Winter 2009

Junior	Intermediate	Senior
Began in Oct. 2009	Feb-4/09 PCF_Preparation I Feb-11/09 PCF_Prep. II Feb-25/09 PCF_Sequences Mar-4/09 Series Mar-11/09 Sequs. & Series Mar-25/09 Analytic Geo I Apr-1/09 Analytic Geo II	Feb-4/09_Conics I Feb-11/09_Conics II Feb-18/09 Conics III Feb-25/09 Geometry I Mar-4/09 Geometry II Mar-11/09 Geometry III Mar-25/09 Equations

Fall 2008

Junior	Intermediate	Senior
Began in Oct. 2009	Oct-8/08_Num_Theory_I Oct-15/08 Num_Theory_II Oct-22/08 Num_Theory_III Oct-29/08 Geo_I Nov-5/08 Geo_II Nov-12/08 Geo_III Nov-19/08 Prob_I Nov-26/08 Prob_II	Oct-8/08_Num_Theory I Oct-15/08 Num_Theory_II Oct-22/08 Num_Theory_III Oct-29/08 Trig_I Nov-5/08 Trig_II Nov-12/08 Trig_III Nov-19/08 Prob_I Nov-26/08 Prob_II