UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2020-2021 Academic Year

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For meetings prior to Fall 2020, visit the Circle Archive.

Advanced 1AAdvanced 1BAdvanced 2AAdvanced 2BAdvanced 3AMC10/12 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2A
Beginners 2BIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 1Olympiads 2
10/11/2020

Many nontrivial Olympiad problems can be solved by angle chasing. This class we covered inscribed angles, cyclic quadrilaterals, and properties of the orthocenter.

10/18/2020

Directed angles, incenter/excenter lemma, problems.

10/25/2020

More advanced angle chasing problems

11/1/2020

Power of a Point and Radical Axis

11/8/2020

Harder problems with Power of a Point

Handouts: Homework
11/15/2020

Today we did three challenging problems whose solutions involved Power of a Point in a fundamental way.

Handouts: Handout | Homework
11/22/2020

We will introduce Ceva's Theorem, Menelaus' Theorem, the Extended Law of Sines, and some basic length formulas in a triangle.

12/6/2020

Two proofs of Heron's Formula; Nine-Point Circle, Euler Line, Monge's Theorem

Handouts: Lecture Notes
12/13/2020

Simson line configuration (including proof that Simson(P) bisects PH) and incenter touch-point configuration.

Handouts: Homework
1/10/2021

We will go over the winter break geometry homework and review last quarter's material, and do some Olympiad problems from other subjects if time allows.

1/17/2021

Complex numbers and AIME problems

1/24/2021
1/31/2021
Handouts: Handout
2/7/2021
2/21/2021

AIME Number Theory problems, which tend to be computational

2/28/2021
3/7/2021