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

For our first lesson, we will introduce pooled testing in the context of coronavirus.

Handouts: Key | Handout
10/18/2020

We will be introduced to modular math. We completed pages 1-6 of the handout.

Handouts: Handout
10/25/2020

We will be continuing the second half of the handout on modular math. We will also learn modular math applications, such as checksums.

Handouts: Handout | Homework
11/1/2020

We will finish up our review on modular math, learning how to subtract and divide in modular math as well as learning how to prove divisibility rules with modular math.

11/8/2020

We will be exploring an ancient Egyptian technique of splitting fractions into their unit parts. We completed pages 1-16.

Handouts: Handout | Key
11/15/2020

We will continue our exploration of Egyptian fractions (pages 17-24). Homework is pages 25-26.

Handouts: Handout: part 1
11/22/2020

To conclude our exploration of Egyptian Fraction Representation, we will complete the Egyptian Fractions part 1 handout and begin Egyptian Fractions part 2. Pages 6-8 EFR part 2 are assigned as homework.

11/29/2020
12/6/2020

We will look a method to prove mathematical hypotheses: proof by induction.

12/13/2020

We will continue to explore proof by induction and introduce proof by contradiction. *Last class of fall quarter, Happy Holidays!

1/10/2021

Suppose we break a stick into three pieces randomly. What are the chances the resulting pieces will form a triangle?

Handouts: Handout
1/17/2021

We will continue and complete our packet on breaking sticks. In which scenario are we most likely able to form a triangle from our broken sticks?

2/15/2021