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
For our first week of the year, we'll be working on a handout containing olympiad problems from a long time ago. The problems do not follow any particular theme other than general knowledge of algebra.
Handouts: Handout
This week we'll develop a theory for converting fractions to decimals and vice versa. Everyone knows that lots of things can be represented by both a fraction or decimal, but most people are at least a little fuzzy on how the two are related. This week we'll cut through the fuzz and by the end you'll be a pro at fractions and decimals.
Handouts: Handout
The students ventured away from our decimal system and explored binary, trinary, and hexadecimal base systems. These form the basis of communication between modern computers, and also allow for encryption of English messages much more simply than the decimal system would, so it is important that our students are familiar with them.
Handouts: Handout
This weekend we will be continuing our study of place-value systems that are not base 10. Last week was a nice gentle introduction to the topics that consisted of a lot of computation. This week we are going to use some of the intuition that we built up last week to solve some more theoretical questions, and come to some surprising conclusions!
Handouts: Handout
Last week we finished talking about place value systems, and this week we'll be letting out hair down and doing some good, old fashioned, problem solving. There is no specific theme for this week but we will be using some of the things that we developed in the past couple of weeks.
Handouts: Handout
This weekend we are going to start a multi-week study of the topic of permutations. We are going to start our study by defining what a mathematical permutation is, learn how mathematicians notate permutations and prove some elementary results.
Handouts: Handout
This weekend we will be continuing our study of permutations. Now that we have a basic understanding conceptualization of permutations and have some basic notation down, we are going to apply that notation to better understand the 15 puzzle. By the end of the class we won't have solved the puzzle, but we will be a lot closer.
Handouts: Handout
Have a happy Thanksgiving!
Today we are going to finish up our study of permutations and finally resolve the case of the 15 puzzle. After that is done, we will take a look back at what we have done, and take note of some interesting results that we have proved along the way.
Handouts: Handout
This weekend we are going to have our final class for the quarter. For the first hour we are going to take stock of everything that we have proved so far about the 15 puzzle, and the second half will be a class-wide relay with prizes!
Handouts: Handout