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
10/7/2018
We warm up for the new academic year by solving problems from some recent mathematical competitions.
Handouts: Lesson Handout
10/14/2018
We start our exploration of quadratic equations with Vieta's Theorem. As usual, we also do some geometry.
10/21/2018
We solve some problems on the properties of general functions, and learn to apply Vieta's theorem from last week. As usual, some geometry.
10/28/2018
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.
11/4/2018
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.
11/11/2018
We introduce parabolas -- graphs of a quadratic equations, and solve some problems regarding them.
11/18/2018
We use the theoretical properties of quadratic equations established during the last few weeks to solve some concrete problems. Also: more geometry.
12/2/2018
We see what we have learned about geometry and quadratic equations with an individual problem-solving session.
Handouts: Handout
12/9/2018
Fun and games!
1/13/2019
We start a few new topics for the quarter -- weighings, logic and ruler & compass constructions.
1/20/2019
We continue with the topics of weighings, logic and straightedge & compass constructions.
1/27/2019
More straightedge and compass constructions, along with harder weighings and logic problems.
2/3/2019
We focus more on using invariants in combinatorial problems about processes, and also continue with straightedge & compass constructions.
2/10/2019
We continus with our topics of invariants and straightedge & compass constructions.
2/24/2019
We continue with invariants, semi-invariants and geometric constructions.
3/3/2019
We continue our route to triangle siilarity by learning the intercept theorem.
3/10/2019
Our multi-week journey towards similar triangles culminates with the proof of the two main theorems about them.