Western PA ARML is a program for high school students interested in mathematics and in math competitions. At weekly practices, students learn math that isn't normally part of the high school curriculum, focusing on problemsolving techniques. At the end of May, we send a team of 15 students to participate in the ARML competition.
We welcome students of all abilities to attend our practices. The only requirement is being excited about math!
Practices are held throughout the year every Sunday from 4 PM to 7 PM at Carnegie Mellon University in Porter Hall, room A20. (Porter Hall is in the northwestern corner of the CMU campus, and is most easily accessible via Frew St.)
The typical ARML practice begins with a short lesson on a mathematical technique, followed by a problemsolving session until around 5:30 PM. After a break for pizza, one of the coaches or a guest will give a talk on a topic not necessarily related to competition math, showcasing the infinite variety of mathematics.
A tentative schedule for the fall semester of 2015 is provided. Check back for uptodate information about the topics that will be covered in practices, the speakers for the afterpizza talks, and handouts from previous practices.
Date  Topic  Subtopic  Afterpizza talk 
September 13  Number Theory (Joseph and Misha) 
Joseph: Modular arithmetic Handout / Solutions 
Misha Lavrov: Perfect Numbers 
September 20  Misha: Divisibility Handout / Solutions 
Misha Lavrov: What's the Biggest Number?  
September 27  Joseph: Fermat's little theorem Handout / Solutions 
Christopher Cox: The Math of Juggling  
October 4  Misha: Diophantine equations Handout / Solutions 
Misha Lavrov: Mathematical Games  
October 11  Practice math contest AMC 12A 2006 / AIME I 2006 / USAMO 2006 
Mor HarcholBalter: Markov Chains  
October 18  Geometry (David and Pranav) 
Misha: The area method Handout / Solutions 
Misha Lavrov: Tangle Theory 
October 25  Misha & David: Circles Slides (from 2013) 
Misha Lavrov: Euler's Formula  
November 1  Pranav: Triangle geometry Handout 
Pictionary  
November 8  Pranav: Coordinate geometry Handout / Solutions 
Misha Lavrov: What is computation? Link to the poem 

November 15  Practice math contest AMC 12A 2007 / AIME I 2007 / USAMO 2007 

November 22  Combinatorics (Victor and Misha) 
Victor: Permutations and binomials Handout / Solutions 
David Sisson: Differential Geometry 
November 29  Practice math contest AMC 10B 2008 / AIME II 2008 

December 6  Misha: Counting strategies Handout / Solutions 
Misha Lavrov: A Grid Problem  
December 13  Victor: Recursions Handout / Solutions 
Fun! 
The team captain is Gabe Ren <gaberen@gmail.com>, a senior at North Allegheny Senior High School.
Our faculty sponsor is PoShen Loh, a professor in the math department at CMU.
If you have any comments or questions or would like to know more about ARML, please don't hesitate to email any of the coaches!
On this website, you can also find old practice materials from 2012, 2013, and 2014.