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.

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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?

1/24/2021

This week we will learn how to convert between fractions and decimals, while also exploring the properties of terminating and non-terminating decimals.

1/31/2021

We will continue to explore terminating and non-terminating decimals. WHY do decimals have these properties? How can we write non-terminating decimals as fractions?

Handouts: Class notes | Homework
2/7/2021

We will write and define sequences and numbers through explicit and recursive definitions. We will also explore arithmetic sequences and how we can generalize the sum of n-terms in the sequence.

Handouts: Class Notes
2/14/2021
2/21/2021

We will continue our work on arithmetic sequences, then transition to learning about arithmetic series.

Handouts: Class Notes | Homework
2/28/2021

We will introduce geometric sequences and explore how using geometric series can help us convert non-terminating decimals to fractions.

Handouts: Class Notes | Homework
3/7/2021

Today, we introduce combinatorics: the mathematics of counting.

Handouts: Handout | Key | Homework
3/14/2021

We will complete the combinatorics worksheet from last week. Furthermore, we will explore what happens if the order of the items in our list matters.

Handouts: Handout | Key
4/4/2021

Can you move the earth with a lever? Today's math circle lesson will require creativity, physics, and a little intuition to balance levers.

Handouts: Key | Handout
4/11/2021

We will refresh our minds on combinations and permutations from before spring break, and we will also begin to explore probability.

4/18/2021

To test our knowledge of combinatorics that we learned over the past few weeks, we will go over 4 tough problems.

Handouts: class notes
4/25/2021
Handouts: Handout