UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2023-2024 Academic Year

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For meetings prior to Fall 2023, visit the Circle Archive.

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Students will study chapter 12 from the course book.


Students will study a few games as an intro to game theory.


Students will play a few more games trying to figure out a winning strategy. Then they will take a quiz to assess their understanding of the covered material. If time permits, students will start chapter 19 from the course book.


Students will study chapter 19 of the course book.


Students will study chapter 20 of the course book.


Students will study chapter 21 of the course book.


Students will study chapter 22 of the course book. If time remains, they will start chapter 23.


Students will study chapter 23 of the course book.


Students will review Roman numerals and then study lesson 18 from the course book.


We will talk about binary numbers and the balance scale. I will also review how to do addition and subtraction using an abacus.


We will finish Chapter 19 on pan balances, and begin Chapter 20, using the balance pans to introduce the idea of binary numbers.


We will use the pan balance to motivate defining and working with binary numbers.


We will follow Chapter 21, studying the method for writing numbers in binary form.


Chapter 22 and quiz


After finishing our review of Chapter 22 (counting triangles), we will work through Chapter 23 -- bits and digits.


We will review some counting problems. Then we will discuss the differences and similarities between decimal and binary numbers (Chapter 23).


We will cover Chapter 24 (odd and even numbers). Students who finish the chapter will then play a mathematical game in pairs.


We will finish our class on odds and evens (Chapter 25, with a review of 24.15), and then we will demonstrate some binary mathemagic!


We will cover the binary magic trick from Chapter 26 and 27.


We will finish the binary magic trick (Chapter 27), and start to think about how to make arithmetic work with binary numbers (Chapter 28).


The abacus will help us to visualize arithmetic -- addition and subtraction -- of binary numbers. At the end of the class, parents are invited in for a demonstration of the binary magic trick that students have been practicing.


We will finish our discussion of binary arithmetic (addition and subtraction, Chapter 28), and then look at how binary coding can be used to represent letters as well as numbers (ASCII, chapter 29). We will not have a quiz.


We will study the differences between orientable and non-orientable surfaces. Students will make their own Mobius strips and study what happens when the strips are cut. We will follow Chapter 30 from the workbook. Students should each bring with them a pair of scissors that they are able to safely use.


We will start with a short quiz on binary numbers, odds and evens and the balance scale. Then we will start the topic of coordinates (Chapter 31).