Western PA ARML

About the team

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 problem-solving 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!

Practice schedule

Practices are held throughout the year every Sunday from 4 PM to 7 PM at Carnegie Mellon University in Porter Hall, room A19. (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 lesson on a mathematical technique, together by a problem-solving session, which lasts until around 5:30 PM. After a break for pizza, one of the coaches or a guest might give a talk, or we might have a short practice contest lasting about an hour.

A tentative schedule for the fall semester of 2016 is provided. Check back for up-to-date information about the topics that will be covered in practices, the speakers for the after-pizza talks, and handouts from previous practices.

Date Topic Subtopic After Pizza
September 11 Number Theory
(Annie and Emily)
Modular Arithmetic and Divisibility
Handout / Solutions
C.J.: The Sizes of Infinity
September 18 Euler's Totient Function
Victor: Short math contest
2003 AMC 10B, 2003 USAMO
September 25 Integer Linear Equations
Misha: How to Gamble
October 2 Sums of Squares
Victor: Short math contest
1995 ARML Individual Round
October 9 Patrick: Practice math contest
Problems from the SMT: Version 1, Version 2, Team Contest
October 16 Geometry
(Andrew and David)
Similar Triangles
Misha: False Patterns
October 23 Circles
Misha: Short Math Contest
Problems / Solutions
October 30 Trigonometry
Victor: Short math contest
Problems / Solutions
November 6 Cyclic Quadrilaterals
C.J.: Finding Hay in a Haystack
November 13 Patrick: Practice math contest
Problems from the BMT: Version 1, Version 2, Team Contest
November 20 Functions
Trigonometric Functions
Misha: Summing Divergent Series
November 27 Miscellaneous Functions
Misha: Short math contest
2004 AMC 10A, 2003/4 BMO Round 1
December 4 Sequences and Series
Summing Series
Handout / Solutions
C.J.: Mass Points
December 11 Solving Recurrences


The team captain is Andrew Gu <a1267ab@gmail.com>, a junior at Allderdice High School.

Our faculty sponsor is Po-Shen 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!

Previous years of ARML

This website also has the complete schedule for ARML practices in the fall 2015 and spring 2016 semesters.

There are also old practice materials from 2012, 2013, and 2014.

Last updated January 12, 2017. Misha Lavrov <mlavrov@andrew.cmu.edu>