Los Angeles Math Circle

LAMC Calendar // 2018-2019 Academic Year. Jump to:

For meetings prior to Fall 2018, visit the Circle Archive.

AdvancedBeginnersBreaking Numbers into PartsEarly Elementary IEarly Elementary IIHigh School IHigh School IIJunior CircleOlympiad Training
We warm up for the new academic year by solving problems from some recent mathematical competitions.
Handouts: Lesson Handout
We start our exploration of quadratic equations with Vieta's Theorem. As usual, we also do some geometry.
We solve some problems on the properties of general functions, and learn to apply Vieta's theorem from last week. As usual, some geometry.
We continue exploring quadratic equations by completing the square and learning the formula for the roots. We also start working towards quadratic inequalities, in particular seeing when a quadratic function is positive or negative.
We take a step back from learning fundamental facts about quadratic equations, and practive what we have already learnt on some problems. Geometry also makes an appearance.
We introduce parabolas -- graphs of a quadratic equations, and solve some problems regarding them.
We use the theoretical properties of quadratic equations established during the last few weeks to solve some concrete problems. Also: more geometry.
We see what we have learned about geometry and quadratic equations with an individual problem-solving session.
Handouts: Handout
Fun and games!
We start a few new topics for the quarter -- weighings, logic and ruler & compass constructions.
We continue with the topics of weighings, logic and straightedge & compass constructions.
More straightedge and compass constructions, along with harder weighings and logic problems.
We focus more on using invariants in combinatorial problems about processes, and also continue with straightedge & compass constructions.
We continus with our topics of invariants and straightedge & compass constructions.