ORMC Meetings Archive • Fall 2007–Spring 2024 For the current schedule, visit the Circle Calendar 2007–2008 2008–2009 2009–2010 2010–2011 2011–2012 2012–2013 2013–2014 2014–2015 2015–2016 2016–2017 2017–2018 2018–2019 2019–2020 2020–2021 2021–2022 2022–2023 2023–2024 Spring 2023 quarter // Filter groups by: Advanced 1A Advanced 1B Advanced 2 Advanced 3 AMC 10/12 A Training AMC 10/12 B Training AMC 8 Training Beginners 1A Beginners 1B Beginners 1C Beginners 2A Beginners 2B Chess club Intermediate 1A Intermediate 1B Intermediate 2A Intermediate 2B 6/4/2023

Handouts: Problems

Handouts: Rules | TeX archive | Solutions | Game dominoes

ARML-style end-of-year contest, with AMC problems to review topics we have discussed throughout the year

Handouts: worksheet | solutions(references) A contest in Olympiad format.

Handouts: EGMO | EGMO_solutions

We will do a little geometry practice to reinforce what we've learned in the past three lessons. We will take a quiz. Then we will learn to play some math-games.

The last meeting of the year! There will be a tournament with some prizes for the winners :)

Class Logistics:

We will meet from 4-6 pm at Math Sciences 6221

Class Plan:

We end the year with a fun competition!

Required Resources:

Pencil, eraser, and scratch paper.

Homework Due:

No homework

Homework Assigned:

No homework

Contact Information:

Please reach out to the instructors Andy Shen at andyshen55@g.ucla.edu or Naji Sarsam at najisarsam@g.ucla.edu if you have any questions, comments, or concerns!

Class Logistics:

We will meet from 4-6 pm at Math Sciences 6229

Class Plan:

We end the year with a fun competition!

Required Resources:

Pencil, eraser, and scratch paper.

Homework Due:

No homework

Homework Assigned:

No homework

Contact Information:

Handouts: Decryption I | Handout | Decryption II | 4-Coloring Graphs

Handouts: Summer 2023 quarter // Filter groups by: Advanced 1A Advanced 2A Beginners 1A Beginners 1B Beginners 2A Beginners 2B BNP A BNP B Intermediate 1A Intermediate 1B 6/25/2023

Handouts: Handout We review basic facts about real numbers. Conduit link: https://tinyurl.com/ORMCconduit

Handouts: Handout 1 Students will study chapter 12 from the course book.

Students will study chapter 12 from the course book.

Students will study the Polibius and Caesar ciphers.

Handouts: Caesar cipher template Students will study the Polibius and Caesar ciphers.

Handouts: Caesar cipher template Students will study the first two chapters of the coursebook.

Students will study the first two chapters of the coursebook.

Students will learn about binary numbers and complements, as well as their application to computer systems. By the end of the lesson, students should understand the fundamentals of the two's complement representation for signed binary numbers.

Handouts: | Solution Students will learn about binary numbers and complements, as well as their application to computer systems. By the end of the lesson, students should understand the fundamentals of the two's complement representation for signed binary numbers.

Handouts: | Solution 7/9/2023

Handouts: |

Handouts: Old handout, continued | New handout Students will study a few games as an intro to game theory.

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

Students will study anagrams, the pigpen and rail fence ciphers.

Students will study anagrams, the pigpen and rail fence ciphers.

We will start with checking lesson 2 homework. It may take the entire class. If time permits, we will start lesson 3.

We will start with checking lesson 2 homework. It may take the entire class. If time permits, we will start lesson 3.

We will review the basics of boolean algebra.

Handouts: | Solution We will review the basics of Boolean algebra.

Handouts: Handout | Solution 7/16/2023

Handouts: We have seen the Archimedes' Axiom for real numbers. Now we will study the fields where it doesn't hold, so there are infinitesimal and unlimited numbers/

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 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 3D solids and their 2D projections.

Students will study 3D solids and their 2D projections.

Finish up chapter 3, assign the second quiz.

Finish up chapter 3, assign the second quiz.

We will review Boolean algebra properties and apply them to logic problems.

Handouts: | Solution We will review Boolean algebra properties and apply them to logic problems.

Handouts: | Solution 7/23/2023

Handouts: Handout We see the hyperreals for the first time and prove their properties.

Handouts: Handout Students will study chapter 19 of the course book.

Students will study chapter 19 of the course book.

Students will be constructing all the 3D solids having given 2D projections.

Students will be constructing all the 3D solids having given 2D projections.

We will go over chapter 4.

We will go over chapter 4.

We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.

Handouts: | Solution We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.

Handouts: | Solution 7/30/2023

Handouts:

Handouts: Additional handout Students will study chapter 20 of the course book.

Students will study chapter 20 of the course book.

Students will study lesson 9 from the course book.

Students will study lesson 9 from the course book.

Finish chapter 5, take quiz 3.

Finish chapter 5, take quiz 3.

We will take a break from our normal material and have a fun competition.

Handouts: | Answer Key We will take a break from our normal material and have a fun competition.

Handouts: | Answer Key 8/6/2023 If more than n pigeons are placed in n pigeonholes, there must be at least one pigeonhole with more than one pigeon. This seemingly simple principle is instrumental in solving many rather hard combinatorial problems.

We will look at infinitesimal changes in the hyper-Euclidian plane and do the nonstandard trigonometry and geometry.

Handouts: Handout Students will study chapter 21 of the course book.

Students will study chapter 21 of the course book.

Students will pay a virtual visit to the Island of Knights and Liars. Students will have to solve logic puzzles based on the habits of the islanders.

Students will pay a virtual visit to the Island of Knights and Liars. Students will have to solve logic puzzles based on the habits of the islanders.

Discuss chapter 6, and if time permits start chapter 7.

Discuss chapter 6, and if time permits start chapter 7.

Students will start learning the theory of permutations. The goal of this mini-course is to understand when the famous puzzle is solvable and when it's not.

Handouts: | Answer Key Students will start learning the theory of permutations. The goal of this mini-course is to understand when the famous puzzle is solvable and when it's not.

Handouts: | Answer Key 8/13/2023

Handouts: handout | solutions We continue with the same topic

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

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

Students will learn the definition of a statement and how the AND operation acts on statements.

Students will learn the definition of a statement and how the AND operation acts on statements.

Review chapter 7, and take quiz 4.

Review chapter 7, and take quiz 4.

We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.

Handouts: | Answer Key We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.

Handouts: | Answer Key 8/20/2023

Handouts: Handout | Bonus problems

Summer 2023 quarter // Filter groups by: Advanced Beginners 1A Beginners 1B Beginners 2A Beginners 2B BNP A BNP B Intermediate 1A Intermediate 1B 8/27/2023

Students will study the Euler constant e and exponential functions.

Students will study chapter 23 of the course book.

Students will study chapter 23 of the course book.

Students will continue studying Boolean algebra.

Students will continue studying Boolean algebra.

Quiz 5, Chapter 9. We will finish the rest of the book!

Quiz 5, Chapter 9. We will finish the rest of the book!

We will learn basics of graph theory and consider various relevant theorems.

We will learn basics of graph theory and consider various relevant theorems.

Fall 2023 quarter // Filter groups by: Advanced 1A Advanced 1B Advanced 2 Advanced 3 AMC 10/12 AMC 8 Training Beginners 1A Beginners 1B Beginners 1C Beginners 2A Beginners 2B BNP A BNP B Chess club Intermediate 1A Intermediate 1B Intermediate 2A Intermediate 2B Olympiads 10/1/2023

Handouts: Handout | Solutions

Handouts: Handout | Solutions

Handouts: Handout. | Solution key.

Handouts: Problems Basics for the amc, with a focus on solving equations and important factoring identities

Handouts: worksheet | solutions

Handouts: Practice Test Students will review Roman numerals and then study lesson 18 from the course book.

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

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

Students will review clock arithmetic and learn the applications of mod 360 arithmetic to measuring angles and to timekeeping.

Students will review clock arithmetic and learn the applications of mod 360 arithmetic to measuring angles and to timekeeping.

Students will study lesson 1 and possibly lesson 2 of the course book.

Students will study lesson 1 and possibly lesson 2 of the course book.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will warm up with some fun games and then introduce basic probability.

Required Resources:

Pencils, eraser, scratch paper and dice.

Homework Due:

N/A.

Homework Assigned:

Finish the handout (Problem 17 is optional).

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout We will warm up with some fun games and then introduce basic probability.

Homework: Finish the handout for week 1 (Problem 17 is optional).

Handouts: Handout for Week 1 | Optional Problems Students will start learning set theory.

Handouts:

Handouts: We'll do a variety of Olympiad problems to warm up for the year of problem-solving.

The problems will range in level, from practice problems through BAMO up to Putnam, so there should be something for everyone.

Handouts: 10/8/2023

Handouts: Handout | Solutions

Handouts: Solutions | Handout

Handouts:

Handouts: AMC basics involving functions: domain, range, graphing, inverses, recursive functions

Handouts: worksheet | solutions

Handouts: We will discuss chapter 19, which goes over the balance scale and problems relating to it.

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 discuss chapter 19, which goes over the balance scale and problems relating to it.

Students will review unit of measurements such as time and learning about coordinates on the globe

Students will learn about time's relationships with the globe, including time zones and more.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will start with a review of basic probability from last week. We will then introduce combinatorics tools and apply them to calculate probabilities.

Required Resources:

Pencils, eraser and scratch paper.

Homework Due:

Finish last week’s handout (Problem 17 is optional).

Homework Assigned:

Attempt problems 1-12, 14, 16, 18, 20 and 21.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout We introduce the concepts of factorial, permutations, and binomial coefficients, as well as their application to calculating probabilities.

Homework: Problem 1-12, 14, 16, 18, 20 and 21 from the handout.

Handouts: Handout for Week 2 We are going to explore the concept of induction, and apply it to the tower of Hanoi. Further, we are going to talk about combinations, permutations, and binomial coefficients.

Handouts:

Handouts: We'll focus on writing clear proofs as we do problems from books and from a variety of actual Olympiads.

Handouts: Problems 10/15/2023

Handouts: Handout | Solutions

Handouts: Handout | Solutions

Handouts: |

Handouts: worksheet 3 basics of complex number arithmetic and geometry

Handouts: worksheet | solutions

Handouts: We will complete chapter 20.

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 complete chapter 20.

Students will learn about Earth's poles and practice calculating time based off Earth's movement.

Students will continue learning about the relationships between geometry and time, using real-world examples from around the globe.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will start with a review of combinatorics from last week. We will then learn how to use combinatorics to calculate probabilities.

Required Resources:

Pencils, eraser, scratch paper and dice.

Homework Due:

Problems 1-12, 14, 16, 18, 20 and 21 from last week's handout.

Homework Assigned:

Problems 1-17 on the handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will start with a review of combinatorics from last week. We will then learn how to use combinatorics to calculate probabilities.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned (Due Oct 22):

Problem 1-17 on the handout below. Reading on the first half of Page 9 is optional.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts: Handout for Week 3 | Homework Solution We are going to explore many aspects and applications of induction, in divisibility problems, inequalities, visual and geometry problems, and puzzles.

Handouts:

Handouts: This week, we will solve competition problems with invariants.

When there is some repeated process, rather than studying what does change, we may want to look at what stays the same.

This allows us to make connections between the starting and ending positions, and we can rule out many possibilities this way.

Handouts: 10/22/2023

Handouts: Solutions | Handout

Handouts: Solutions | Handout

Handouts: |

Handouts:

Handouts: worksheet

Handouts: We will continue our journey in Binary Land, and cover chapter 21.

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

We will continue our journey in Binary Land, and cover chapter 21.

Students will use modular arithmetic to convert time on Planet Heptadium. In the second half of the class, will learn how to solve different types of cryptarithms.

Students will learn more about modular arithmetic through examples surrounding time in a world where people count mod seven.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore some fun logic puzzles.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1-17 from last week's handout.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will explore some fun logic puzzles as well as some challenging mathematical games.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned:

No homework this week.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts: Handout for Week 4

Handouts:

Handouts: We'll look at a few problems involving polynomials and the tricks to solve them.

Handouts: 10/29/2023

Handouts: Handout | Solutions

Handouts: Handout | Solutions

Handouts:

Handouts: Rings 1

Handouts: worksheet

Handouts: Students who have not already taken quiz 6 will take it, and then we will work on chapter 22.

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

Students who have not already taken quiz 6 will take it, and then we will work on chapter 22.

Students will learn about prime numbers and practice using divisibility patterns.

Students will review previous concepts in Quiz 1 and learn how to solve Cryptarithms in this week's lesson.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore problem solving through sample olympiad problems.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

Problems 1-8 on the handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will do competition-type math problems and introduce some problem-solving techniques.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned (Due Nov. 5):

Problem 1-8 on the handout.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts: Handout for Week 5 | Homework Solution We are going to take a look into the basics of error correcting codes. In other words, we are going to think of smart ways to encode and decode messages such that slight errors that may alter our message during transmission won't affect the receivers ability to interpret it.

Handouts:

Handouts: We consider some more techniques for working with polynomials, such as Vieta's Formulas and tools for working with irreducible polynomials.

Handouts: 11/5/2023

Handouts: Handout | Solutions

Handouts: Handout | Solutions

Handouts:

Handouts: Handouts: test

Handouts: We will finish chapter 23, and then start chapter 24.

We will finish chapter 23, and then start chapter 24.

Students will continue learning how to use Modular Arithmetic to solve ciphers as well as review divisibility rules from last week.

Students will learn about divisibility rules for numbers in base 10.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will introduce sets and discuss their properties.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1-8 on the previous week's handout.

Homework Assigned:

Finish this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will introduce the concept of sets and do some basic set theory.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned (Due Nov. 19):

Finish all problems on the handout.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts: Handout for Week 6 | Solutions to Selected Problems We will look into some interesting graph theory problems, along with a surprising application.

Handouts:

Handouts: We will do competition problems using inequalities such as AM-GM and Cauchy-Schwarz.

Handouts: 11/19/2023 Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.

Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.

Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.

Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.

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

Students will working on the Ciphers and Functions Packet.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our discussion of sets by introducing the notions of power sets and Cartesian products.

Required Resources:

Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.

Homework Due:

Previous week's handout.

Homework Assigned:

Finish this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will review the basic concepts of set theory, and introduce power set and Cartesian products.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned (Due Dec. 3):

Finish the handout

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts: Handout for Week 7 | Solutions to Selected Problems We are going to apply some of our Graph Theory skills to playing the games of Sim and Sprouts and solve related problems.

Handouts:

Handouts: 12/3/2023

Handouts: Handout | Solutions

Handouts: Handout | Solutions

Handouts:

Handouts: |

Handouts: worksheet

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

Students will finish reviewing the previous week's handout and then complete a practice Math Kangaroo.

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our discussion of sets by discussing functions between sets and cardinalities of finite and infinite sets.

Required Resources:

Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.

Homework Due:

Previous week's handout.

Homework Assigned:

Problems 1.1 to 1.9 and 1.12.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will study functions between sets.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned (Due Dec 10):

Finsh Problem 1.1 - 1.9 and 1.12 on the handout.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts:

Handouts:

Handouts: We will go over the basics of generating functions, and see how they can be used in olympiad problems about counting.

Handouts: 12/10/2023

Handouts: Problems

Handouts: Handout | Solutions

Handouts:

Handouts: worksheet

Handouts: Algebra | Geometry | Number Theory | Probability We will cover Chapter 24 (odd and even numbers). Students who finish the chapter will then play a mathematical game in pairs.

Students will play a review Jeapordy Game

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will have a fun competition to end the quarter!

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1.1 to 1.9 and 1.12 on previous week's handout.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 3974.

Class Plan:

We will do an end-of-quarter competition.

Required Resources:

Pencils, eraser and scratch paper.

Homework Assigned:

None.

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Handouts:

Handouts:

Handouts: We'll continue thinking about generating functions, showing some more advanced techniques for particular competition problems.

Handouts: Winter 2024 quarter // Filter groups by: Advanced 1A Advanced 1B Advanced 2 Advanced 3 AMC 10/12 Training AMC 8 Training Beginners 1A Beginners 1B Beginners 1C Beginners 2A Beginners 2B BNP A BNP B Chess club Intermediate 1A Intermediate 1B Intermediate 2A Intermediate 2B Olympiads 1/7/2024

Handouts: Handout

Handouts: Handout

Handouts:

Handouts: Basics of trig functions, law of sines, law of cosines, stewart's theorem

Handouts: worksheet

Handouts: We will complete chapter 28.

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 complete chapter 28.

Students will begin studying the fundamental properties of geometry through introduction handouts.

Handouts: Students will review the fundamentals of geometry through two introduction handouts.

Handouts: Lesson packet

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will begin our exploration of Euclidean geometry.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

Section 1 on this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani