This page lists all the handouts I've written for my classes at the ORMC, which is a weekly mathematics program for advanced students. We tend to avoid "textbook" topics, and instead discuss interesting material that isn't seen in school.
For my students:
Please don't look at solutions we haven't discussed, and please don't start any handouts before class. That spoils all the fun!
For everyone else:
If you are not affiliated with the ORMC, ask for permission before using these. After running your class, tell me how it went! Also, please report any errors you find, I'd very much like to fix them.
Overview & Context
Our classes are two hours long, with a ten-minute break in between. The lessons below are written with that in mind.
At the end of an ideal class, the average student should be nearly (but not fully) done with that week's handout. If more than a few students finish a handout, it's either too short or too easy.
Students never show up on time. Some come early, some come late. Warm-ups are my solution to this problem: we hand these to students as they walk in, giving the class a light problem to talk about.
This list isn't sorted by difficulty, so use your best judgement. Solutions aren't provided. Instructors, solve these on your own!
Students in ORMC Advanced are usually in high school, which means they're roughly 15-18 years old --- but many of the handouts below have worked in younger classes.