Western PA Math Circle and ARML Team
Archive
Spring 2021
Fall 2020
Summer 2020
| JV | Varsity |
| Coordinate Geometry 1 & 2 | Double Summation 1 |
| Double Summation 2 | |
| Modular Arithmetic 1 | Mods and Polynomials 1 |
| Modular Arithmetic 2 | Mods and Polynomials 2 |
| Competition 3 |
| JV | Varsity |
| Induction 1 | Geometric Inequalities 1 |
| Induction 2 | Geometric Inequalities 2 |
| Bases and Exponents 1 | Markov Chains 1 |
| Bases and Exponents 2 | Markov Chains 2 |
| JV | Varsity |
| Online 1 | Online 1 |
| Online 2 | Online 2 |
Spring 2020
| JV | Varsity |
| Pascal’s Triangle | Advanced Counting |
| Counting | Expected Value |
| Counting with Cases | Generating Functions 1 |
| Induction | Generating Functions 2 |
| JV | Varsity |
| Angles | Similarity |
| Congruent Triangles | Collinearity |
| Circles | Cyclic Quadrilaterals |
| Similar Triangles | Collinearity |
| Mirroring | Cevians |
Fall 2019
| JV | Varsity | Advanced |
| Equations | Equations | |
| Polynomials | Polynomials | |
| Complex Numbers | Roots of Unity | |
| Logarithms | Inequalities | Functional Equations |
| Review | Review |
Spring 2019
| Angle Chsing and Similarity |
| Congruence |
| Circles |
| Review |
| Proportionality and Angle Chasing |
| Constructions |
| Additions to Figures |
Fall 2018
Spring 2018
Fall 2017
Spring 2017
| Logic and Definitions I | Solutions |
| Logic and Definitions II | |
| The Pigeonhole Principle | Solutions |
| The Extremal Principle | Solutions |
| Counting Techniques |
| Probability |
| Expected Value and Recursion |
| Markov Chains |
| Graph Theory |
| Asymptotic Calculus |
| Optimization Problems |
Fall 2016
| Modular Arithmetic | Solutions |
| Euler’s Totient Function | |
| Integer Linear Equations | |
| Sums of Squares |
| Similar Triangles |
| Circles |
| Trigonometry |
| Cyclic Quadrilaterals |
| Trigonometric Functions |
| Miscellaneous Functions |
| Summing Series | Solutions |
| Solving Recurrences |
Spring 2016
Fall 2015
| Modular Arithmetic | Solutions |
| Divisibility | Solutions |
| Fermat’s Little Theorem | Solutions |
| Diophantine Equations | Solutions |
| The Area Method | Solutions |
| Circles | |
| Triangles | |
| Coordinate Geometry | Solutions |
| Permuations and Binomials | Solutions |
| Counting Strategies | Solutions |
| Recursions | Solutions |
2014-2015
| Polnomial Bases |
| Solving Recurrences |
| Generating Functions I |
| Generating Functions II |
| Markov Chains |
| The Twelvefold Way |
| Chess |
| Coordinate Geometry |
| 3D Geometry |
| Divisors and Factors |
| Lessons from AMC |
Spring 2014
| Finite Sums |
| Solving Recurrences |
| Vieta’s Formulas |
| Writing Proofs I |
| Writing Proofs II |
| Generating Functions I |
| Generating Functions II |
Fall 2013
| Modular Arithmetic |
| Divisors |
| Everything Else |
| Inclusion-Exclusion and Binomials |
| Induction, Pigeonhole, Brute Force |
| Graph Theory |
| Optimization |
| Incidence Geometry |
| Circles |
| Triangles |