ORMC Meetings Archive • Fall 2007–Spring 2023

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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
 Summer 2022 quarter // Filter groups by: AdvancedBeginners 1ABeginners 1BBeginners 2ABeginners 2BBNP ABNP BIntermediate 1AIntermediate 1BIntermediate 2 6/26/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Binary Numbers I We will be kicking off our Summer with a dive into Binary Numbers!Handouts: handout_1Beginners 1A [Summer 2022 Beginners 1A]: Split the difference Students will discuss an optical illusion, solve a warm-up problem having multiple solutions, and then study a bunch of problems on splitting the difference.Beginners 1B [Summer 2022 Beginners 1B]: Split the difference Students will discuss an optical illusion, solve a warm-up problem having multiple solutions, and then study a bunch of problems on splitting the difference.Beginners 2A [Summer 2022 Beginners 2A]: Cyphers Students will study the Polybius and Caesar cyphers. Handouts: Caesar cypher templateBeginners 2B [Summer 2022 beginners 2B]: Cyphers Students will study the Polybius and Caesar cyphers.Handouts: Ceasar cypher templateBNP A [Summer 2022, K-1]: Counting stories Students will play games counting stories and apartments in buildings. BNP B [Summer 2022, K-1]: Counting stories Students will play games counting stories and apartments in buildings.Intermediate 1A [Summer 2022 I1A]: Instant insanity Students will try to solve the Instant Insanity puzzle as an introduction to graph theory.Handouts: handout_1Intermediate 1B [Summer 2022 I1B]: Instant insanity Students will try to solve the Instant Insanity puzzle as an introduction to graph theory.Handouts: handout_1Intermediate 2 [gr. 7-9 in person]: A hands-on study of vectors Students will study properties of vectors, constructing vectors with a compass and a ruler (straightedge).Handouts: handout_1 7/10/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: More binary numbers and hexadecimal numbers. Students will study binary fractions, hexadecimal numbers, and relations between binary and hexadecimal numbers.Handouts: handout_2Beginners 1A [Summer 2022 Beginners 1A]: Sharing problems and Crossing the River We will finish lesson 2, and solve the problems from lesson 3.Beginners 1B [Summer 2022 Beginners 1B]: Sharing problems and Crossing the River We will finish lesson 2 and solve the problems from lesson 3.Beginners 2A [Summer 2022 Beginners 2A]: Ciphers, part 2. Students will warm up solving an anagram. Then they will study the pigpen and rail fence ciphers. Beginners 2B [Summer 2022 beginners 2B]: Ciphers, part 2. Students will warm up solving an anagram. Then they will study the pigpen and rail fence ciphers. BNP A [Summer 2022, K-1]: More houses and a crossing puzzle. We will check the lesson 2 homework, including the crossing puzzle, and build more houses!BNP B [Summer 2022, K-1]: More houses and a crossing puzzle. We will check the lesson 2 homework, including the crossing puzzle, and build more houses!Intermediate 1A [Summer 2022 I1A]: Propertires of graphs and Eulerian cycles. We will study various properties of graphs ending with Eulerian cycles and the famous Seven Bridges of Konigsberg problem.Handouts: handout_2Intermediate 1B [Summer 2022 I1B]: Propertires of graphs and Eulerian cycles. We will study various properties of graphs ending with Eulerian cycles and the famous Seven Bridges of Konigsberg problem.Handouts: handout_2Intermediate 2 [gr. 7-9 in person]: Introduction to Geometry This week, we will continue our discussion of geometry and compass-ruler constructions.Be sure to bring a compass!Handouts: handout_2 7/17/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Intro to Knots. Students will begin studying knots and their invariants.Handouts: handout 3Beginners 1A [Summer 2022 Beginners 1A]: Intro to Roman Numerals. We will finish studying lesson 3 from the book and start lesson 4.Beginners 1B [Summer 2022 Beginners 1B]: Intro to Roman Numerals. We will finish studying lesson 3 from the book and start lesson 4.Beginners 2A [Summer 2022 Beginners 2A]: Recap and quiz 1. Students will take one last look at ciphers, solve fun problems of other types, and take a quiz on ciphers.Handouts: Lesson 10Beginners 2B [Summer 2022 beginners 2B]: Recap and quiz 1. Students will take one last look at ciphers, solve fun problems of other types, and take a quiz on ciphers.Handouts: Lesson 10BNP A [Summer 2022, K-1]: Subtraction and the lit windows game. Students will play the lit windows game to learn that subtraction can be understood as removing a part from a whole. BNP B [Summer 2022, K-1]: Subtraction and the lit windows game. Students will play the lit windows game to learn that subtraction can be understood as removing a part from a whole. Intermediate 1A [Summer 2022 I1A]: Eulerian and Hamiltonian Cycles. Students will continue the study of graph theory.Handouts: handout 3Intermediate 1B [Summer 2022 I1B]: Eulerian and Hamiltonian Cycles. Students will continue the study of graph theory.Handouts: handout 3Intermediate 2 [gr. 7-9 in person]: Learning to Count: Permutations and Combinations. This week, we'll take a break from geometry and focus on combinatorics instead.Handouts: handout 3 7/24/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Peano Axioms Students will be introduced to mathematical induction and Peano Axioms to construct the Natural Numbers.Handouts: Beginners 1A [Summer 2022 Beginners 1A]: Move a stick. Students will solve fun problems on Roman numerals involving craft sticks.Beginners 1B [Summer 2022 Beginners 1B]: Move a stick. Students will solve fun problems on Roman numerals involving craft sticks.Beginners 2A [Summer 2022 Beginners 2A]: The truth function and the AND operation. Students will continue their study of logic.Beginners 2B [Summer 2022 beginners 2B]: The truth function and the AND operation. Students will continue their study of logic.BNP A [Summer 2022, K-1]: Lesson 3 and Quiz 2 Students will finish studying lesson 3 and take quiz 2.BNP B [Summer 2022, K-1]: Lesson 3 and Quiz 2 Students will finish studying lesson 3 and take quiz 2.Intermediate 1A [Summer 2022 I1A]: Graph theory continued. From shortest paths to Euler charcateristic. Students will continue their study of graph theory.Handouts: handout 4Intermediate 1B [Summer 2022 I1B]: Graph theory continued. From shortest paths to Euler charcateristic. Students will continue their study of graph theory.Handouts: handout 4Intermediate 2 [gr. 7-9 in person]: Intro to combinatorial probability. Student will apply their knowledge of enumerative combinatorics to figuring out probabilities of various events.Handouts: Handout 7/31/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Knot Theory II Students will continue knot theory and learn about some algebra behind knots.Beginners 1A [Summer 2022 Beginners 1A]: Bigger Roman numerals. Students will continue studying Roman numerals.Beginners 1B [Summer 2022 Beginners 1B]: Bigger Roman numerals. Students will continue studying Roman numerals.Beginners 2A [Summer 2022 Beginners 2A]: The OR and Negation operations. Logic gates. Students will continue studying math logic.Beginners 2B [Summer 2022 beginners 2B]: The OR and Negation operations. Logic gates. Students will continue studying math logic.BNP A [Summer 2022, K-1]: The number line. Students will study chapter 4 of the BNP book.BNP B [Summer 2022, K-1]: The number line. Students will study chapter 4 of the BNP book.Intermediate 1A [Summer 2022 I1A]: Logic puzzles. Students will take a break from graph theory and solve fun logic puzzles.Handouts: handout_5Intermediate 1B [Summer 2022 I1B]: Logic puzzles. Students will take a break from graph theory and solve fun logic puzzles.Handouts: handout_5Intermediate 2 [gr. 7-9 in person]: Hands-on Vectors This week, we will learn how to manipulate vectors, and we'll use them to solve a few problems.We will also take a quick look at rational and irrational numbers.Handouts: handout_5 8/7/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Peano Axioms II We will be finishing Peano Axioms that we started online.Beginners 1A [Summer 2022 Beginners 1A]: Converting to Roman Numerals, Recap Students will learn the rules of converting decimal numbers to Roman numerals.Beginners 1B [Summer 2022 Beginners 1B]: Converting to Roman Numerals, Recap Students will learn the rules of converting decimal numbers to Roman numerals.Beginners 2A [Summer 2022 Beginners 2A]: Double negation, quiz 4, and possibly Lineland. Students will finish the Intro to Math Logic mini-course and take a quiz. If time permits, they will start a new topic, Lineland. Beginners 2B [Summer 2022 beginners 2B]: Double negation, quiz 4, and possibly Lineland. Students will finish the Intro to Math Logic mini-course and take a quiz. If time permits, they will start a new topic, Lineland. BNP A [Summer 2022, K-1]: The number line, continued. Students will continue the study of the number line.BNP B [Summer 2022, K-1]: The number line, continued. Students will continue the study of the number line.Intermediate 1A [Summer 2022 I1A]: Catch-up class. Students will complete the previously studied handouts on Euler characteristic and logic puzzles.Handouts: handout 6Intermediate 1B [Summer 2022 I1B]: Catch-up class. Students will complete the previously studied handouts on Euler characteristic and logic puzzles.Handouts: handout 6Intermediate 2 [gr. 7-9 in person]: Vectors & Newtonian Laws of Motion We will continue our study of vectors, applying what we've learned to solve a few problems involving motion.We'll also take a look at numbers in various bases. 8/14/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Chinese Remainder Theorem We will discuss the Chinese Remainder Theorem and how it can be used to solve systems of modular equations!Beginners 1A [Summer 2022 Beginners 1A]: Recap and Quiz Students will take the first two quizzes in the book.Beginners 1B [Summer 2022 Beginners 1B]: Recap and Quiz Students will take the first two quizzes in the book.Beginners 2A [Summer 2022 Beginners 2A]: Lineland and Flatland. Students will continue studying various shapes intersecting lines and planes.Beginners 2B [Summer 2022 beginners 2B]: Lineland and Flatland. Students will continue studying various shapes intersecting lines and planes.BNP A [Summer 2022, K-1]: Digits and Numbers. Students will study chapter 5 from the course book.BNP B [Summer 2022, K-1]: Digits and Numbers. Students will study chapter 5 from the course book.Intermediate 1A [Summer 2022 I1A]: Word problems. Students will apply their knowledge of graph theory, trees in particular, to solving a bunch of fun word problems.Handouts: handoutIntermediate 1B [Summer 2022 I1B]: Word problems. Students will apply their knowledge of graph theory, trees in particular, to solving a bunch of fun word problems.Handouts: handoutIntermediate 2 [gr. 7-9 in person]: An Introduction to Graph Theory This week, we'll take a look at graphs and the variety of problems they help us understand.Handouts: handout_7 8/21/2022 Advanced [Summer 2022 Advanced 1, 2, and 3 combined]: Intro to groups. Students will learn basics of group theory and its applications.Handouts: Groups and symmetryBeginners 1A [Summer 2022 Beginners 1A]: Cutting logs. Students will study chapter 9 from the book.Beginners 1B [Summer 2022 Beginners 1B]: Cutting logs. Students will study chapter 9 from the book.Beginners 2A [Summer 2022 Beginners 2A]: Backward reasoning. Students may possibly start the next topic, Traveling on a Cube, if time permits.Beginners 2B [Summer 2022 beginners 2B]: Backward reasoning. Students may possibly start the next topic, Traveling on a Cube, if time permits.BNP A [Summer 2022, K-1]: Digits and Numbers, Continued. Students will continue studying chapter 5 from the book.BNP B [Summer 2022, K-1]: Digits and Numbers, Continued. Students will continue studying chapter 5 from the book.Intermediate 1A [Summer 2022 I1A]: Ramsey Theory Students will study a part of graph theory that shows how order emerges out of chaos.Handouts: handoutIntermediate 1B [Summer 2022 I1B]: Ramsey Theory Students will study a part of graph theory that shows how order emerges out of chaos.Handouts: Intermediate 2 [gr. 7-9 in person]: Graph Theory & the Instant Insanity Puzzle This week, we'll continue our study of graph theory.We'll also apply what we've learned to solve a fun puzzle.Handouts: Handout Fall 2022 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2AAdvanced 2BAdvanced 3AMC 10/12 TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads Training 8/28/2022 Advanced: Competition Students will end the Summer Session with a competition!BNP A: Wrap-up of chapter 5. BNP B: Wrap-up of chapter 5. Intermediate 2: Slide Rules and Logarithms Today we'll learn to use the slide rule, a device that designed aircraft, sequenced DNA, and sent a man to space.Handouts: Handout 9/25/2022 Advanced 1A [former Intermediate 2A]: 22F Week 1. Propositional Logic. Handouts: HandoutAdvanced 1B [former Intermediate 2B]: 22F Week 1. Propositional Logic. Handouts: Advanced 2A [former Advanced 1A]: Game + Relativity We will play a game, called Estimathon (https://estimathon.com/), and start learning about Einstein's special relativity theory.Advanced 2B [former Advanced 1B]: Game+Relativity We will play a game, called Estimathon (https://estimathon.com/), and start learning about Einstein's special relativity theory.Advanced 3 [former Advanced 2AB]: Fall 2022 Week 1: Algebraic Structures I. Students will start building their understanding of algebraic structures, from magams to groups.AMC 10/12 Training: Algebraic Manipulations Introduction to ACM 10/12-level. Algebra techniques including: factoring, equations and systems of equations, functions and recursive functions, and logarithms.AMC 8 Training: Diagnostic Test Students will take a diagnostic test, made of fun problems by AoPS.Handouts: AMC 8 2017Beginners 1A [former BNP A]: (BNP 2) Lesson 16 Conjugation of Young Diagrams Beginners 1B [former BNP B]: (BNP 2) Lesson 16 Conjugation of Young Diagrams Beginners 1C [New Beginners 1 class]: Fall 2022 Week 1: Math Kangaroo training. Students will work on a Math Kangaroo test for grades 3-4.Beginners 2A [former Beginners 1A]: Lineland We will cover Chapter 15 -- exploring how objects in a higher number of dimensions look when projected into a smaller number.Beginners 2B [former Beginners 1B]: Lineland We will cover Chapter 15 -- exploring how objects in a higher number of dimensions look when projected into a smaller number.Chess club: Meeting #1 Intermediate 1A [former Beginners 2A]: Fall - Modular Arithmetic 1 Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221.Class Plan:Hello everyone! We begin this quarter by briefly studying modular arithmetic. This will serve as a warmup for the type of coding challenges we plan to tackle in Python. The lecture materials will be posted after class.Required Resources:A pencil, eraser.Homework Due:NoneHomework Assigned:Please complete up to section 2 (pages 1 - 14) in the packet attached below. This packet was handed out during the lecture. We will review the homework next lecture.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!Handouts: Modular Arithmetic PacketIntermediate 1B [former Beginners 2B]: Week 1: Introduction to Modular Arithmetic We begin this quarter by briefly studying modular arithmetic. This will serve as a warmup for the type of coding challenges we plan to tackle in Python.Handouts: HandoutIntermediate 2A [former Intermediate 1A]: Nim Students will learn the game of Nim, and how to always win!Handouts: Intermediate 2B [former Intermediate 1B]: Nim Students will learn the game of Nim, and how to always win!Handouts: Nim HandoutOlympiads Training: Geometry: Similarity and Triangles Handouts: 10/2/2022 Advanced 1A [former Intermediate 2A]: Logic Part II - Models and Proofs Handouts: HandoutAdvanced 1B [former Intermediate 2B]: 22F Week 2. Propositional Logic II + Special Event Handouts: Advanced 2B [former Advanced 1B]: More relativity We continue the last handout on relativity. Please, bring it with you.Handouts: HandoutAdvanced 3 [former Advanced 2AB]: Fall 2022 Week 2: Algebraic Structures II This week we continued studying Algebraic Structures to get into the concept of Groups.Handouts: Handout 1 - From Magma to GroupsAMC 10/12 Training: Divisibility and Modular Arithmetic Divisibility rules, basic modular arithmetic, and well-known modular arithmetic techniques and theoremsAMC 8 Training: Combinatorics This week we started with combinatorics for our in-depth concept training for the AMC 8. We worked on problems from past AMC 8 tests during group work.Handouts: | AnswersBeginners 1A [former BNP A]: Lesson 16 Conjugation of Young Diagrams Continuation Beginners 1B [former BNP B]: Lessons 16 Conjugation of Young Diagrams Continuation Beginners 1C [New Beginners 1 class]: Math Kangaroo Training, Continued Last class, we started solving the 2013 Math Kangaroo packet for grades 3 and 4. Next class, we will spend the earlier half of the class discussing several hard problems from the packet and use our remaining time to work on a new packet. Beginners 2A [former Beginners 1A]: Flatland We will continue with our study of the mathematics of projection. This week we will study Flatland -- a 2D world, in which 3D shapes appear in projected form.Beginners 2B [former Beginners 1B]: Beginners 2B: Flatland We will cover Flatland, in which 3-dimensional objects are projected into a 2d space over time. Handouts will be released shortly.Intermediate 1A [former Beginners 2A]: Fall - Modular Arithmetic 2 Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-5 pm (only 1 hour lecture due to fundraising event aftewrard) at Math Sciences 6221Class Plan:We continue our study of modular arithmeticRequired Resources:A pencil, eraser.Homework Due:Please complete up to section 2 (pages 1 - 14) in the packet attached below. This packet was handed out during the lecture. We will review the homework next lecture.Please also fill out the following google form by October 5th so that we can prepare for our future python lessons: http://tiny.cc/intermediate1_CS.Homework Assigned:None.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!Handouts: Modular ArithmeticIntermediate 1B [former Beginners 2B]: Week 2: Continuing Modular Arithmetic We will continue working on the modular arithmetic handout from the previous week.Intermediate 2A [former Intermediate 1A]: Nim II Students will continue learning about the game of Nim!Intermediate 2B [former Intermediate 1B]: Nim Students will learn the game of Nim, and how to always win!Olympiads Training: Geometry: Similarity and Triangles II Handouts: 10/3/2022 Advanced 2A [former Advanced 1A]: E Special Relativity: time dilation We continue having fun around Einstein's special relativity. This time we discuss time dilation 10/9/2022 Advanced 1A [former Intermediate 2A]: Mathematics of Juggling Handouts: Handout | SolutionsAdvanced 1B [former Intermediate 2B]: Mathematics of Juggling Handouts: Handout | SolutionsAdvanced 2A [former Advanced 1A]: ESR: length contraction This week we will discuss length contraction in ESP theory. Please keep having funHandouts: handout | solutionsAdvanced 2B [former Advanced 1B]: ESR: length contraction This week we will discuss length contraction in ESP theory.Handouts: handout | solutionsAdvanced 3 [former Advanced 2AB]: Fall 2022 Week 3: Symmetry Groups. This week we will study Symmetry Groups of regular polygons and platonic solids.Handouts: Handout 2: Symmetry GroupsAMC 10/12 Training: Number Theory More AMC techniques in number theory, including prime factorizations, the euclidean algorithm, and the chinese remainder theoremAMC 8 Training: Word Problems and Number Theory Handouts: Practice Questions | HandoutBeginners 1A [former BNP A]: Quiz #10 and Lesson 17 Conjugation as Reflection Beginners 1B [former BNP B]: Quiz #10 and Lesson 17 Conjugation as Reflection Beginners 1C [New Beginners 1 class]: Math Kangaroo Training, Continued Last class (10/2), we worked on a new Math Kangaroo packet. Next class, we will start by discussing the more challenging problems from the previous class and use our remaining time to work on a new packet.Beginners 2A [former Beginners 1A]: Recap of lineland and flatland, and beginning to work backwards We will do a recap of lineland and flatland, including a short quiz. Then we will start the next topic, which is inverse operations.Beginners 2B [former Beginners 1B]: Flatland and Quiz Intermediate 1A [former Beginners 2A]: Fall - Python Programming 1 - Intro Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We finish our study of modular arithmetic and move on to the basics of python! We begin by studying data types and variables.Required Resources:A computer with mouse and charger being optionalHomework Due:None.Homework Assigned:None.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!Intermediate 1B [former Beginners 2B]: Week 3: Introduction to Python Programming We will begin Python programming this week. Please bring laptops to class and ensure you have a Google account that can access and run Colab notebooks.Beginner NotebookAdvanced NotebookIntermediate 2A [former Intermediate 1A]: Geometric Optimisation Students will learn how to optimise geometric constructions, such as finding the largest area of an object with fixed perimetre.Handouts: Intermediate 2B [former Intermediate 1B]: Geometric Optimization Students will learn the fundamentals of basic optimization problems.Handouts: Olympiads Training: Geometry: Similarity and Triangles III Handouts: 10/16/2022 Advanced 1A [former Intermediate 2A]: The Question of Abundance, a guest lecture by Prof. Paul Zeitz There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.Advanced 1B [former Intermediate 2B]: The Question of Abundance, a guest lecture by Prof. Paul Zeitz There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.Advanced 2A [former Advanced 1A]: The Question of Abundance, a guest lecture by Prof. Paul Zeitz There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.Advanced 2B [former Advanced 1B]: The Question of Abundance, a guest lecture by Prof. Paul Zeitz There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.Advanced 3 [former Advanced 2AB]: The Question of Abundance, a guest lecture by Prof. Paul Zeitz There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.AMC 10/12 Training: Combinatorics Basic combinatorics topics, including permutations, combinations, complementary counting, and stars-and-barsAMC 8 Training: Logic Problems Handouts: Problems | HandoutBeginners 1A [former BNP A]: Lesson 17 Conjugation as Reflection Beginners 1B [former BNP B]: Lesson 17 Conjugation as Reflection Beginners 1C [New Beginners 1 class]: Math Kangaroo Training, Continued In our last class, we discussed some tricky questions from the second MK packet. Then, we spent the remainder of our time discussing the first two problems on a new MK packet. Next class, instead of completing the packet in its entirety, we will be discussing individual questions after allotting time for the students to discuss with their group mates. Beginners 2A [former Beginners 1A]: Working backwards and geodesics We will discuss the book Flatland. Then we will finish Chapter 18, on inverting operations. If we have time, we start a new Chapter on geodesics (shortest paths) on the cube.Beginners 2B [former Beginners 1B]: Beginners 2B: Backwards Reasoning Chess club: Meeting 2 of Chess Club Intermediate 1A [former Beginners 2A]: Fall - Python Programming 2 - Conditional Statements and Loops Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue our study of Python. We continue studying data types and introduce control flow.Required Resources:A computer with mouse and charger being optionalHomework Due:None.Homework Assigned:Homework 1 multiple choice sheet.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!Intermediate 1B [former Beginners 2B]: Week 4: Conditional Statements and Loops This week we will cover if-else statements and for loops.Beginner NotebookAdvanced NotebookHandouts: HomeworkIntermediate 2A [former Intermediate 1A]: Conditional Probability Students will learn the basics of probability, including conditionals.Intermediate 2B [former Intermediate 1B]: Conditional Probability Students will study chapter 11, Conditional Probability, from the book Intermediate Counting and Probability by AoPS.https://drive.google.com/drive/folders/1G1AH8RT6kd46WimDh-6yccsNmms68Qz-?usp=sharingOlympiads Training: Geometry: Triangles and Circles Intro Handouts: 10/23/2022 Advanced 1A [former Intermediate 2A]: Geometry and Graph Theory Part I Handouts: Handout | SolutionsAdvanced 1B [former Intermediate 2B]: Geometry and Graph Theory Part 1 Handouts: Handout | SolutionsAdvanced 2A [former Advanced 1A]: The slide rule. Students will study possibly the most important 20th century computer, the slide rule.Handouts: Slide-rule - handoutAdvanced 2B [former Advanced 1B]: Slide rule We will learn to use the slide rule to calculateHandouts: Handout | Slide ruleAdvanced 3 [former Advanced 2AB]: Fall 2022 Week 5: The Rubik's cube group. During this lecture, we will learn about a group associated to the Rubik's cube. We will study this group to understand how and why the cube can be solved.Handouts: Handout 3 - Rubik's cubesAMC 10/12 Training: Counting & Probability More topics in combinatorics and probability, including inclusion-exclusion, geometric probability, and binomial coefficient identities and formulas.Handouts: Week 5 Worksheet | Week 5 SolutionsAMC 8 Training: Geometry - Part 1 Handouts: Practice Questions | PacketBeginners 1A [former BNP A]: Lesson 1 Split the Difference Beginners 1B [former BNP B]: Lesson 1 Split the Difference Beginners 1C [New Beginners 1 class]: Official start of "From Optical Illusions to Fight Dragons" Workbook, Split The Difference Last class, we continued with Math Kangaroo training. We will no longer be doing Math Kangaroo training for our upcoming class and will instead be starting our workbook. Please do not forget to purchase and bring the "From Optical Illusions to Fight Dragons" workbook.Beginners 2A [former Beginners 1A]: Shortest paths In this class we will study geodesics, also known as shortest paths. In most of our experience shortest paths are straight lines. Given any 2 points there is exactly one shortest path between them. But there are spaces in which shortest paths look very different and for which two point may have two very different shortest paths between them (Ch. 19).Beginners 2B [former Beginners 1B]: Geodesics (Shortest Paths) We will cover the topic of shortest paths on a geometric figure.Chess club: Chess Club Meeting #3 Intermediate 1A [former Beginners 2A]: Fall - Python Programming 3 - Loops 2 and User Input Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue our study of Python.Required Resources:A computer with mouse and charger being optionalHomework Due:Homework 1 multiple choice worksheetHomework Assigned:Homework 2 multiple choice worksheetContact 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!Intermediate 1B [former Beginners 2B]: Week 5: User Input and More Looping This week we will go into more depth on looping, including while loops and nested loops, and also cover how to make interactive programs with user input.Beginner NotebookAdvanced NotebookHandouts: HomeworkIntermediate 2A [former Intermediate 1A]: Probabilistic Games Handouts: Intermediate 2B [former Intermediate 1B]: Conditional Probability Handouts: Olympiads Training: Geometry: Triangles and Circles Handouts: 10/30/2022 Advanced 1A [former Intermediate 2A]: Graph Theory and Geometry Part II Handouts: Handout | SolutionsAdvanced 1B [former Intermediate 2B]: Geometry and Graph Theory Part 2 Handouts: Advanced 2A [former Advanced 1A]: Halloween estimathon and measurement errors This Sunday we will have a special Halloween estimathon and for the remaining time we will look at a worksheet on measurement errors.Handouts: Estimathon | A study on measurement errorsAdvanced 2B [former Advanced 1B]: Estimathon + Errors We will have a game and a worksheet on measurement errors.Handouts: Errors handoutAdvanced 3 [former Advanced 2AB]: Fall 2022 Week 6: The 2x2x2 Rubik's cube. In this lecture, we will keep discussing about the 3x3x3 Rubik's cube and we will introduce and discuss the 2x2x2 Rubik's cube.Handouts: Handout 4AMC 10/12 Training: Geometry Handouts: Week 6 Worksheet | Week 6 SolutionsAMC 8 Training: Geometry - Part 2 Finished up with geometry, so students should finish the practice/homework packet problems for homework and bring it back to class next week.Handouts: Handout | Practice/HomeworkBeginners 1A [former BNP A]: Lesson 2 Sharing Problems and Birthday Cakes Beginners 1B [former BNP B]: Lesson 2 Sharing Problems and Birthday Cakes Beginners 1C [New Beginners 1 class]: Sharing problems and birthday cakes Last class, we started the "From Optical Illusions to Fighting Dragons" workbook and completed chapter 1. Next class, we anticipate to complete chapter 2 by the end of our session.Beginners 2A [former Beginners 1A]: Review of geodesics and working backwards We will review Chapter 19, on shortest paths on a cube that students were able to pre-study for homework. Then we will cover Chapter 20, which is a review of both topics. There will be a short quiz. Time permitting, we will start to look at Egyptian multiplication.Beginners 2B [former Beginners 1B]: Powers of 2 and Egyptian Multiplication Chess club: Chess Club Meeting #4 Intermediate 1A [former Beginners 2A]: Fall - Python Programming 4 - Loops 3 Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue our study of Python.Required Resources:A computer with mouse and charger being optionalHomework Due:Homework 2 multiple choice worksheetHomework Assigned:Homework 3 multiple choice worksheetContact 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!Intermediate 1B [former Beginners 2B]: Week 6: Looping III This week we will continue where we left off on last week's content.Handouts: HomeworkIntermediate 2A [former Intermediate 1A]: The 1-9 Game Students will learn to play and win a fun game called the 1-9 Game.Handouts: Intermediate 2B [former Intermediate 1B]: The 1-9 Game Handouts: Olympiads Training: Geometry: Circles Handouts: 11/6/2022 Advanced 1A [former Intermediate 2A]: Sets and Cardinality Handouts: HandoutAdvanced 1B [former Intermediate 2B]: Cardinality Handouts: Advanced 2A [former Advanced 1A]: Optimization in geometry and optics This Sunday we will look at certain optimization probles, which will include the minimization and maximization of area, distance, or perimeter, given certain constraints, and properties of light.Handouts: Advanced 2B [former Advanced 1B]: Geometric optima We will study geometry problems asking to find minimumsHandouts: HandoutAdvanced 3 [former Advanced 2AB]: Fall 2022 Week 7: Fields This week, we will introduce the concept of Fields and study some basic examples including the field of constructible real numbers.Handouts: Handout 5AMC 10/12 Training: Polynomials Handouts: AMC 8 Training: Algebra Handouts: HandoutBeginners 1A [former BNP A]: Lesson 3 Recap and Quiz #1 Beginners 1B [former BNP B]: Lesson 3 Recap and Quiz #1 Beginners 1C [New Beginners 1 class]: Chapter 1 & 2 Review and quiz 1 Last class, we finished the second chapter of the workbook. We anticipate covering the third chapter by the end of this coming session. Please do not forget to bring your workbooks!Beginners 2A [former Beginners 1A]: Egyptian multiplication We will finish covering Egyptian multiplication.Beginners 2B [former Beginners 1B]: Continuing with Powers of 2 Intermediate 1A [former Beginners 2A]: Fall - Python Programming 5 - Loops 4 Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue our study of Python.Required Resources:A computer with mouse and charger being optionalHomework Due:Homework 3 multiple choice worksheetHomework Assigned:Homework 4Contact 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!Intermediate 1B [former Beginners 2B]: Week 7: Looping IV This week we will finish our discussion of looping and user input.Advanced NotebookHandouts: HomeworkIntermediate 2A [former Intermediate 1A]: Peano Axioms Students will learn an important mathematical concept called induction, as well as a rigorous way to construct the natural numbers.Handouts: Intermediate 2B [former Intermediate 1B]: Peano Axioms Olympiads Training: Geometry: Circles Handouts: 11/13/2022 Advanced 3 [former Advanced 2AB]: Fall 2022 Week 8: Math Competition. Competition related to Group Theory and Fields Theory.Intermediate 1A [former Beginners 2A]: Fall - NO CLASS FOR VETERANS DAY Enjoy Veteran's day weekend! 11/20/2022 Advanced 1A [former Intermediate 2A]: Hat Puzzles and Choice Handouts: Handout | SolutionsAdvanced 1B [former Intermediate 2B]: Axiom of Choice Handouts: Handout | SolutionsAdvanced 2A [former Advanced 1A]: Optimization in geometry Hello, this Sunday we will continue with optimization problems in a more geometrical context.Handouts: HandoutAdvanced 2B [former Advanced 1B]: Geometric optima We continue the same themeHandouts: HandoutAMC 10/12 Training: Similar Triangles Handouts: Similar Triangles HandoutAMC 8 Training: Practice Test Answers are on last page of practice testHandouts: Practice TestBeginners 1A [former BNP A]: Lesson 4 Roman Numerals Beginners 1B [former BNP B]: Lesson 4 Roman Numerals Beginners 1C [New Beginners 1 class]: Roman numerals Last two weeks, we finished the third chapter of the workbook and administered a small quiz for the students. Next class, we anticipate to cover all of the fourth chapter by the end of our session.Beginners 2A [former Beginners 1A]: Binary arithmetic We will finish studying Chapter 22, revisiting binary numbers. For our class, it is not necessary for students to have studied this topic before in Beginners 1.Beginners 2B [former Beginners 1B]: Binary Numbers Beginners 2B [former Beginners 1B]: Binary Numbers Chess club: Chess Club Meeting # 6 Intermediate 1A [former Beginners 2A]: Fall - Python Programming 6 - Python Review and Graphs Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue our study of Python.Required Resources:A computer with mouse and charger being optionalHomework Due:Homework 4 multiple choice worksheetHomework Assigned:None, although there is an optional practice problem sheet! The kids can do it to win points for the special lesson plan this upcoming class.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!Intermediate 1B [former Beginners 2B]: Week 8: Fall Review and Graphs This week we will review what we have covered over the course of the quarter and touch on some graph theory.Intermediate 2A [former Intermediate 1A]: Peano Axioms II Students will continue learning about Peano Axioms and induction.Intermediate 2B [former Intermediate 1B]: Mystery Class Olympiads Training: Geometry: Circles Handouts: 11/27/2022 Intermediate 1A [former Beginners 2A]: Fall - NO CLASS FOR THANKSGIVING We are thankful to all the parents and students! 12/4/2022 Advanced 1A [former Intermediate 2A]: Fall Competition! Handouts: Problems | SolutionsAdvanced 1B [former Intermediate 2B]: Competition Advanced 2A [former Advanced 1A]: Competition and games. Advanced 3 [former Advanced 2AB]: Fall 2022 Week 9: Ring Theory This class we will start studying ring theory.Handouts: Handout 6AMC 10/12 Training: Piecewise Functions Discussion of piecewise functions, strategies for solving, and important piecewise functions like absolute value and floor. (Also reviewing Binomial Coefficients from previous weeks).Handouts: Piecewise Functions WorksheetAMC 8 Training: Review Game! Beginners 1A [former BNP A]: Lesson 5 Move A Stick Beginners 1B [former BNP B]: Lesson 5 Move A Stick Beginners 1C [New Beginners 1 class]: Move a stick Students will continue learning more about roman numerals and associated algorithms.Beginners 2A [former Beginners 1A]: More binary arithmetic We follow Chapter 23, learning how to multiply numbers that are represented in binary form.Beginners 2B [former Beginners 1B]: More with binary! Chess club: Meeting 7 (Last Meeting of the Year Intermediate 1A [former Beginners 2A]: Fall - Relay Competition Quarter Goals:Learn basics of modular arithmeticLearn fundamentals of python programmingPractice employing programming to solve difficult math problemsClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We have a fun end-of-year relay planned!Required Resources:Nothing!Homework Due:None, although there is an optional practice problem sheet! The kids can do it to win points for the special lesson plan this upcoming class.Homework Assigned:None, enjoy winter break!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!Intermediate 1B [former Beginners 2B]: Week 9: Competition This week we will have a friendly team-based competition.Intermediate 2A [former Intermediate 1A]: Competition Olympiads Training: Geometry: Circles 12/11/2022 Advanced 2B [former Advanced 1B]: Competition and games We play a final game for the quarter Winter 2023 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads Training 1/8/2023 Advanced 1A [former Advanced 1A]: Introduction to Probability Students will learn set-theoretical foundations of probability and solve practice problems. Students will also have to save Alice and Bob from an evil dictator.Handouts: Probability 1Advanced 1B [former Advanced 1B]: Introduction to Probability Students will learn set-theoretical foundations of probability and solve practice problems. Students will also have to save Alice and Bob from an evil dictator.Handouts: Probability 1Advanced 2 [former Advanced 2A]: Flow graphs. Students will study a beautiful and highly applicable part of graph theory.Handouts: Network flowsAdvanced 3 [former Advanced 3]: Winter 2023 Week 1: Polynomial Rings This week we will discuss about polynomial rings and how the elements of these rings can be used to draw objects.AMC 10/12 Training: Circles Circle geometry: including basics, inscribed angle theorem, power of a point, and incircles and circumcirclesHandouts: Circles 1 | Circles SolutionsAMC 8 Training: Practice Test Beginners 1A [former Beginners 1A]: Review Lesson 5 Move a Stick and Lesson 6 Bigger Roman Numerals Beginners 1B [former Beginners 1B]: Review Lesson 5 Move a Stick & Lesson 6 Bigger Roman Numerals Beginners 1C [Former Beginners 1C class]: Bigger Roman numerals. Students will continue studying Roman numerals, including "move a stick" problems.Beginners 2A [former Beginners 2A]: Division as repeated subtraction. Multiplication is standardly introduced as repeated addition. In this lesson, students will learn that division can be introduced as repeated subtraction.Beginners 2B [former Beginners 2B]: Division as repeated subtraction. Multiplication is standardly introduced as repeated addition. In this lesson, students will learn that division can be introduced as repeated subtraction.Chess club: Meeting #1 (Taught by Robert) Intermediate 1A [former Intermediate 1A]: Winter - Abstract Algebra For SET - What Is a Number? Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will introduce/play the card game SET and explain our goals for the quarter. Then we begin brainstorming about numbers and algebraic axioms.Handouts will be posted after the lesson.Required Resources:Dr. Gleizer emailed the class parents regarding purchasing a copy of the card game SET. Please ask your child to bring it to class this week.Have your children bring a pencil and eraser. No computers or associated accessories should be brought.Homework Due:None.Homework Assigned:Complete Handout 1, which is attached below as a PDF. Please note that this is a brainstorming worksheet. So, there are no right and wrong answers.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!Intermediate 1B [former Intermediate 1B]: 1/8/2023 -- Intermediate 1B: Winter - Abstract Algebra For SET - What Is a Number? Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will introduce/play the card game SET and explain our goals for the quarter. Then we begin brainstorming about numbers and algebraic axioms.Handouts will be posted after the lesson.Required Resources:Dr. Gleizer emailed the class parents regarding purchasing a copy of the card game SET. Please ask your child to bring it to class this week.Have your children bring a pencil and eraser. No computers or associated accessories should be brought.Homework Due:None.Homework Assigned:TBAContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Handouts: Algebra for SET. Handout 1.Intermediate 2A [former Intermediate 2A]: The Josephus problem Students will study a tricky combinatorial problem that is important in computer science and has deep historical roots.Handouts: handoutIntermediate 2B [former Intermediate 2B]: The Josephus problem Students will study a tricky combinatorial problem that is important in computer science and has deep historical roots.Handouts: handoutOlympiads Training: Analysis: Functions Handouts: handout 1/15/2023 Advanced 1A [former Advanced 1A]: Recurrences and Generating Functions Handouts: HandoutAdvanced 1B [former Advanced 1B]: Recurrences and Generating Functions Handouts: HandoutAdvanced 2 [former Advanced 2A]: Error-Correcting Codes This week, we'll learn about a few error-correcting coding schemes.If time permits, we'll try to use them to solve a hat puzzle.Handouts: HandoutAdvanced 3 [former Advanced 3]: Winter 2023 Week 2: Vanishing sets and Ideals This week we will discuss the vanishing set of several polynomials in several variables.AMC 10/12 Training: Circles, cont. More circles: triangle incircles, circumcircles, and cyclic quadrilateralsHandouts: solutions | worksheetAMC 8 Training: Practice Test Beginners 1A [former Beginners 1A]: Lesson 6 Bigger Roman Numerals Beginners 1B [former Beginners 1B]: Lesson 6 Bigger Roman Numerals Beginners 1C [Former Beginners 1C class]: Converting to Roman numerals Last class, we got through almost all of chapter 6 of the workbook. Next class, we will wrap up chapter 6 and start chapter 7.Beginners 2A [former Beginners 2A]: Review, ASCII and math kangaroo problems We will do a short discussion of the relationship between ASCII coding and binary numbers. Then we will review some of the techniques from the last two classes (multiplication, division, binary). After a short quiz, we will do some Math Kangaroo problems if time allows.Intermediate 1A [former Intermediate 1A]: Winter - Abstract Algebra for SET - What is a Number and Symmetry Groups Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We dive deeper into the algebraic axioms of types of numbers on the real line.We then cover examples of other objects which can be "added" together like numbers: symmetry groups.Handouts will be posted after the lesson: Handout 1 was homework, Handout 2 and 3 were passed out in class.Required Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Handout 1, which is attached below as a PDF.Homework Assigned:Complete up to the second to last page of Handout 2, which is attached below as a PDF. Handout 3 is not due as 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!Intermediate 1B [former Intermediate 1B]: 1/15/2023 -- Intermediate 1B: Winter - Abstract Algebra For SET II- What Is a Number 2? Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:Discuss solutions to handout 1 which was assigned as homework for the previous homework and begin a new handout as part 2 of abstract algebra.Required Resources:Have your children bring a pencil and eraser. No computers or associated accessories should be brought.Homework Due:Handout 1Homework Assigned:TBAContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Handouts: Abstract Algebra III | Abstract Algebra IIIntermediate 2A [former Intermediate 2A]: Probability Revisited Handouts: Intermediate 2B [former Intermediate 2B]: Basic Combinatorics and Probability Students will learn the basic principles of counting and be able to apply combinatorial arguments to solve probability problems.Handouts: | SolutionsOlympiads Training: Analysis: Functions Handouts: 1/22/2023 Advanced 1A [former Advanced 1A]: Hyperbolic Geometry, Part I Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Hyperbolic Geometry Part I Handouts: Handout | SolutionsAdvanced 2 [former Advanced 2A]: Group Theory Handouts: HandoutAdvanced 3 [former Advanced 3]: Winter 2023 Week 3: Affine Varieties and Ideals This week we will investigate the relation between affine varieties and ideals in polynomial rings.Handouts: Worksheet 9: Affine VarietiesAMC 10/12 Training: Inequalities Basic Inequalities and solving strategies, AM-GM inequality, review of cyclic quadrilateral theorems from last weekHandouts: worksheetAMC 8 Training: AMC 8 test Students signed up to take AMC 8 with ORMC will take the test in MS 5200 from 1:00 to 3:00 PM PST.Beginners 1A [former Beginners 1A]: Lesson 7 Converting To Roman Numerals Beginners 1B [former Beginners 1B]: Lesson 7 Converting to Roman Numerals Beginners 1C [Former Beginners 1C class]: Math Kangaroo Practice Last class, we were able to start chapter 7 of the workbook towards the end of class. Next class, we will take a short break from the workbook and work on some Math Kangaroo problems. Beginners 2A [former Beginners 2A]: Lesson 26: a trinary magic trick We will demonstrate and then learn a magic trick that use trinary representations to locate a card in a deck.Beginners 2B [former Beginners 2B]: Trinary Magic! Chess club: Meeting #3 (Hairan) Intermediate 1A [former Intermediate 1A]: Winter - Abstract Algebra for SET - Modular Arithmetic and Fields Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We now study objects that have nice notions of addition and multiplication: fields. The primary examples we focus on are the modular finite fields.Handouts will be posted after the lesson.Required Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Handout 2, which is attached below as a PDF.Homework Assigned:Completing Handout 5, which is attached below (and was also passed out in class).Note that Handout 4 is a reference sheet that was also passed out in class. This reference sheet may be very helpful for the kids to finish their homeworl.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!Intermediate 1B [former Intermediate 1B]: 1/22/2023 -- Intermediate 1B: Winter - Abstract Algebra for SET - Modular Arithmetic and Fields Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We now study objects that have nice notions of addition and multiplication: fields. The primary examples we focus on are the modular finite fields.Handouts will be posted after the lesson.Required Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Handout 2, which is attached below as a PDF.Homework Assigned:TBAContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: Probability II Handouts: Intermediate 2B [former Intermediate 2B]: Basic Combinatorics and Probability Students will learn the basic principles of counting and be able to apply combinatorial arguments to solve probability problems.Handouts: Olympiads Training: Analysis: Functions and Polynomials Handouts: 1/29/2023 Advanced 1A [former Advanced 1A]: Hyperbolic Geometry, Part II Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Hyperbolic Geometry Part II Handouts: Advanced 2 [former Advanced 2A]: Deterministic finite automata A DFA is defined as an abstract mathematical concept, but is often implemented in hardware and software for solving various specific problems, such as lexical analysis and pattern matching. For example, a DFA can model software that decides whether or not online user input such as email addresses is syntactically valid.We will practice coming up with DFAs for different word problems and study their properties.Handouts: HandoutAdvanced 3 [former Advanced 3]: Winter 2023 Week 4: Affine Varieties I Handouts: Worksheet 10: Affine Varieties IAMC 10/12 Training: Sequences and Series Arithmetic and Geometric Sequences and Series, and RecursionHandouts: WorksheetAMC 8 Training: AMC 8 Review Beginners 1A [former Beginners 1A]: Lesson 8 Recap and Quiz 2 Roman Numerals Beginners 1B [former Beginners 1B]: Lesson 8 Recap and Quiz #2 Roman Numerals Beginners 1C [Former Beginners 1C class]: Review and quiz 2 Last class, we took a break from the workbook and worked on some Math Kangaroo problems. Next class, we will have a small quiz on what we have learned so far.Beginners 2A [former Beginners 2A]: Review of the 27 cards trick. Students will continue practicing the trick and discussing the reason it works.Beginners 2B [former Beginners 2B]: Review of the 27 cards trick. Students will continue practicing the trick and discussing the reason it works.Chess club: Chess Club Meeting #4 Intermediate 1A [former Intermediate 1A]: Winter - Abstract Algebra for SET - Vector Spaces Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We review the homework and finish our study of abstract fields.We next study vector spaces, which are useful in mathematical modeling.Handouts will be posted after the lesson (handouts 6 and 7 are not homework!)Required Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Completing Handout 5, which is attached below (and was also passed out in class).Homework Assigned:We ask that all the kids click on this Google notebook link and attempt the problems.Please save a PDF of the kids work and submit this pdf to this submission form by February 5.See email for technical details.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!Intermediate 1B [former Intermediate 1B]: 1/22/2023 -- Intermediate 1B: Winter - Abstract Algebra for SET - Abstract Fields and Vector Spaces Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We review the homework and finish our study of abstract fields.We next study vector spaces, which are useful in mathematical modeling.Handouts will be posted after the lesson.Required Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Completing Handout 5, which is attached below (and was also passed out in class).Homework Assigned:To be announced.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: 15 Puzzle Intermediate 2B [former Intermediate 2B]: 15 Puzzle Students will learn about permutations and basic group theory. We will use this theory to solve the 15 Puzzle.Handouts: Olympiads Training: Analysis: Functions and Polynomials Handouts: 2/5/2023 Advanced 1A [former Advanced 1A]: Gaussian Elimination Advanced 1B [former Advanced 1B]: Gaussian Elimination Handouts: Advanced 2 [former Advanced 2A]: DFAs, continued We will study the languages, recognized by DFAs. These languages are simple in some ways and are called "regular". Advanced 3 [former Advanced 3]: Winter 2023 Week 5: Affine Varieties II Handouts: Worksheet 11 : Affine Varieties IIAMC 10/12 Training: Complex Numbers AM-GM Review, complex number basics, DeMoivre's Theorem, roots of unityHandouts: worksheetAMC 8 Training: Practice Test - AMC 10 Handouts: AMC 10 2003Beginners 1A [former Beginners 1A]: Lesson 9 Cutting Logs Beginners 1B [former Beginners 1B]: Lesson 9 Cutting Logs Beginners 1C [Former Beginners 1C class]: Cutting logs Last class, we reviewed chapter 8 and finished quiz 2. Next class, we will be starting chapter 9 of the workbook.Beginners 2A [former Beginners 2A]: Properties of multiplication. Students will study the associative, commutative, and distributive properties of multiplication using both algebra and geometry.Beginners 2B [former Beginners 2B]: Algebra and fractions We return to functions, using them, and operations involving fractions, to solve modeling problems and word problems.Chess club: Chess Club Meeting #5 Intermediate 1A [former Intermediate 1A]: Winter - Abstract Algebra for SET - Vector Spaces and Mod Sum Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We finish our study of vector spaces and begin modeling the card game SET.Handouts will be posted after the lessonRequired Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:We ask that all the kids click on this Google notebook link and attempt the problems.Please save a PDF of the kids work and submit this pdf to this submission form by February 5.See email for technical details.Homework Assigned:We have a second Python homework assignment due by February 19. Please do the following:Click on this Google Colab notebook link,Save a copy to the students’ personal google drive,Have the students complete the notebook,Save their work as a pdf to be submitted at this Google formInstructions for submission are inside the notebook as well.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!Intermediate 1B [former Intermediate 1B]: 2/05/2023 -- Intermediate 1B: Winter - Algebra for Set - Vector Spaces and Mod Sum Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We finish our study of vector spaces and begin modeling the card game SET.Handouts will be posted after the lessonRequired Resources:Have your children bring a pencil and eraser.No computers or associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:We ask that all the kids click on this Google notebook link and attempt the problems.Please save a PDF of the kids work and submit this pdf to this submission form by February 5.See email for technical details.Homework Assigned:To be assignedContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Handouts: Set Game Modeling | Vector SpacesIntermediate 2A [former Intermediate 2A]: 15 Puzzle II Handouts: Intermediate 2B [former Intermediate 2B]: 15 Puzzle continued Handouts: Olympiads Training: Analysis: Functions and Polynomials Handouts: 2/12/2023 Intermediate 1A [former Intermediate 1A]: Fall - NO CLASS ENJOY SUPER BOWL WEEKEND We do have a second Python homework assignment due by February 19. Please do the following:Click on this Google Colab notebook link,Save a copy to the students’ personal google drive,Have the students complete the notebook,Save their work as a pdf to be submitted at this Google formInstructions for submission are inside the notebook as well. 2/19/2023 Advanced 1A [former Advanced 1A]: Guest lecture: How Less is More (with Origami) by Medha Ravi The lecture outlines an approach to elementary geometry different from the standard compass-and-ruler constructions. If one uses origami instead, the resulting algebraic structure (Galois group) is more rich. In particular, some problems not solvable by means of compass-and-ruler constructions, like trisecting an angle, become solvable. The room for the lecture is MS 4000A.Handouts: lecture notesAdvanced 1B [former Advanced 1B]: Guest lecture: How Less is More (with Origami) by Medha Ravi The lecture outlines an approach to elementary geometry different from the standard compass-and-ruler constructions. If one uses origami instead, the resulting algebraic structure (Galois group) is more rich. In particular, some problems not solvable by means of compass-and-ruler constructions, like trisecting an angle, become solvable. The room for the lecture is MS 4000A.Handouts: lecture notesAdvanced 2 [former Advanced 2A]: Guest lecture: How Less is More (with Origami) by Medha Ravi The lecture outlines an approach to elementary geometry different from the standard compass-and-ruler constructions. If one uses origami instead, the resulting algebraic structure (Galois group) is more rich. In particular, some problems not solvable by means of compass-and-ruler constructions, like trisecting an angle, become solvable. The room for the lecture is MS 4000A.Handouts: lecture notesAdvanced 3 [former Advanced 3]: Guest lecture: How Less is More (with Origami) by Medha Ravi The lecture outlines an approach to elementary geometry different from the standard compass-and-ruler constructions. If one uses origami instead, the resulting algebraic structure (Galois group) is more rich. In particular, some problems not solvable by means of compass-and-ruler constructions, like trisecting an angle, become solvable. The room for the lecture is MS 4000A.Handouts: lecture notesAMC 10/12 Training: Review & AIME review of topics from previous classes, including AM-GM and roots of unity. Also going over selected problems from this year's AIME.Handouts: worksheetAMC 8 Training: Geometry - Triangles Handouts: Beginners 1A [former Beginners 1A]: Lesson 10 Cutting Bagels Beginners 1B [former Beginners 1B]: Lesson 10 Cutting Bagels Beginners 1C [Former Beginners 1C class]: Cutting Bagels Last class, we finished up chapter 9. Next class, we will start chapter 10 of the workbook.Beginners 2A [former Beginners 2A]: Arithmetic progressions We discussion arithmetic progressions and their sum formula.Beginners 2B [former Beginners 2B]: Arithmetic progressions We will talk about the definitions of arithmetic progressions and how to sum them up.Chess club: Meeting #6 Intermediate 1A [former Intermediate 1A]: Winter - Coding for SET - Functions and Classes 1 Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We learn about functions and classes in Python, to efficiently program SET.Required Resources:Pencil, eraser, computers, and associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:We have a second Python homework assignment due by February 19. Please do the following:Click on this Google Colab notebook link,Save a copy to the students’ personal google drive,Have the students complete the notebook,Save their work as a pdf to be submitted at this Google formInstructions for submission are inside the notebook as well.Homework Assigned:If your child did not attend class last week, their homework is to work through as much of this Colab notebook about functions as possible.We completely understand that this material may be challenging to get through independently. So, we have set aside time for review this upcoming Sunday.Again, they should not feel rushed to finish the entire thing but instead, they should just try their best to do as much as they can. No stress!If your child did attend class, please have them complete the following short Colab review notebook as homework.Please note that we are not asking any students to complete both notebooks. 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!Intermediate 1B [former Intermediate 1B]: 2/19/2023 -- Intermediate 1B: Winter - Coding for SET - Functions and Classes I Coding for SET - Functions and Classes IQuarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We learn about functions and classes in Python, to efficiently program SET.The following notebook was used in class:https://colab.research.google.com/drive/1paEMcuM8MsDnYcuOIL95vgXupWQ8XFUc?usp=sharingRequired Resources:Pencil, eraser, computers, and associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:We have a second Python homework assignment due by February 14 and a third Python notebook due by February 21. Please do the following:Click on this https://colab.research.google.com/drive/10Mg3UsJp8ENQF3sX2ccPzET_2LvxN6IPSave a copy to the students’ personal google drive,Have the students complete the notebook,Save their work as a pdf to be submitted at this https://forms.gle/ZxRPZiuvMkL5PGK97 linkInstructions for submission are in the emails sent.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: 15 Puzzle III Handouts: | Intermediate 2B [former Intermediate 2B]: 15 Puzzle continued Students will continue to learn about the 15 Puzzle and will learn conditions under which it can be solved. We will also cover basic L1 geometry and solve interesting geometric problems.Handouts: Olympiads Training: Analysis: Polynomials Handouts: 2/26/2023 Advanced 1A [former Advanced 1A]: More Origami Geometry Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: More Origami Handouts: Advanced 2 [former Advanced 2A]: Pidgeonhole Principle Handouts: Advanced 3 [former Advanced 3]: Winter 2023 Week 12: Projective Varieties I AMC 10/12 Training: Triangle Geometry Trig Review, Stewart's Theorem, Mass PointsHandouts: worksheetAMC 8 Training: Trigonometry Handouts: HandoutBeginners 1A [former Beginners 1A]: Lesson 11 Recap and Quiz 3 Beginners 1B [former Beginners 1B]: Lesson 11 Recap and Quiz 3 Beginners 1C [Former Beginners 1C class]: Review and Quiz 3 Last class, we finished up to chapter 10 of the workbook. We will be doing a quick review before administering a short quiz for our next class. Beginners 2A [former Beginners 2A]: Properties of multiplication, continued. Beginners 2B [former Beginners 2B]: Continuing Fractions and Percents! Chess club: Meeting #7 Intermediate 1A [former Intermediate 1A]: Winter - Coding for SET - Functions and Classes 2 Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We learn about functions and classes in Python, to efficiently program SET.Required Resources:Pencil, eraser, computers, and associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:If your child did not attend class last week, their homework is to work through as much of this Colab notebook about functions as possible.We completely understand that this material may be challenging to get through independently. So, we have set aside time for review this upcoming Sunday.Again, they should not feel rushed to finish the entire thing but instead, they should just try their best to do as much as they can. No stress!If your child did attend class, please have them complete the following short Colab review notebook as homework.Please note that we are not asking any students to complete both notebooks.Homework Assigned:NoneContact 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!Intermediate 1B [former Intermediate 1B]: 2/26/2023 -- Intermediate 1B: Winter - Coding for SET - Functions and Classes II Coding for SET - Functions and Classes IIQuarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We learn about classes in Python, to efficiently program SET.Classes notebook used in class:https://drive.google.com/file/d/1-yHpNq8-oH7JLhLQmZZvBmL8uXtOihEb/view?usp=sharingRequired Resources:Pencil, eraser, computers, and associated accessories should be brought.The SET card game is not needed for this lesson.Homework Due:Completing the functions notebook that was introduced in the last class:https://colab.research.google.com/drive/1paEMcuM8MsDnYcuOIL95vgXupWQ8XFUc?usp=sharingContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: Game Theory Handouts: Intermediate 2B [former Intermediate 2B]: Game theory I Students will learn the mathematics behind games and optimal play over the course of the next two weeks. This will be a fun packet and accessible to everyone, but also contain several challenge problems in game theory.Handouts: Olympiads Training: Analysis: Functions and Polynomials Handouts: 3/5/2023 Advanced 1A [former Advanced 1A]: Graphs and Probability, (and Electricity) Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Circuits and Random Walks Handouts: Advanced 2 [former Advanced 2A]: Origami Handouts: Advanced 3 [former Advanced 3]: Week 13: Math Competition II AMC 10/12 Training: More Inequalities Cauchy-Schwarz Inequality, Mean Inequality ChainHandouts: worksheetAMC 8 Training: Combinatorics Handouts: Beginners 1A [former Beginners 1A]: Lesson 12 Squares of a Chessboard Beginners 1B [former Beginners 1B]: Lesson 12 Squares on a Chessboard Beginners 1C [Former Beginners 1C class]: Lesson 11 Continuation Last week, we had a quick review section before taking a recap quiz of what we have learned so far. Next session, we will be working on the new lesson in Chapter 11 of the workbook. Beginners 2A [former Beginners 2A]: Clocks and time We will start new materials on time. First we will talk about time zones and their relationships to the division of the Earth into meridians. Then, time permitting, we will start to talk about how to do calculations that involve time.Handouts: handoutBeginners 2B [former Beginners 2B]: Review of lesson 27 Students will first discuss homework from lesson 29, starting with the red pepper problem 29.4. Then, if time permits, they will begin reviewing lesson 27.Chess club: Chess Club Meeting #8 Intermediate 1A [former Intermediate 1A]: Winter - Coding for SET - Functions and Classes 3 Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will review the general ideas and motivations behind functions and classes in Python.Then we will brainstorm how one would program SET and we will finish by playing some fun games!Next class will be a competition!Required Resources:Pencil, eraser, and the card game SET.Homework Due:NoneHomework Assigned:NoneContact 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!Intermediate 1B [former Intermediate 1B]: Intermediate 1B: Winter - Coding for SET - Functions and Classes III Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will review the general ideas and motivations behind functions and classes in Python.Then we will brainstorm how one would program SET and we will finish by playing some fun games!Next class will be a competition!Required Resources:Pencil, eraser, and the card game SET.Homework Due:No homework. Students were required to submit their copy of the Classes notebook using the Google Form below:https://forms.gle/qzY65kwaP2VXAsU67Homework Assigned:NoneContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: Game Theory II Handouts: Intermediate 2B [former Intermediate 2B]: Game theory II Students will continue learning about more advanced concepts in game theory and build on what they learned last week.Handouts: Olympiads Training: Analysis: Functions and Polynomials Handouts: 3/12/2023 Advanced 1A [former Advanced 1A]: Winter Competition Handouts: Answers | ProblemsAdvanced 1B [former Advanced 1B]: Winter competition We will celebrate the end of the quarter with a competition between the classes!Advanced 2 [former Advanced 2A]: Game To celebrate the end of the quarter, we do our usual game!Handouts: ProblemsAMC 10/12 Training: Contest practice problems as a (fun) contest among groups of students!Handouts: contest problemsAMC 8 Training: Quarter Wrap Up Game! Beginners 1A [former Beginners 1A]: Review Lesson 12, Share Student Created Word Problems, A Game of Getting to Know You Beginners 1B [former Beginners 1B]: Review Lesson 12, Share Student Created Word Problems, A Game of Getting to Know You Beginners 1C [Former Beginners 1C class]: Lesson 12 recap and Icebreakers Since this will be the last class of the quarter, we will take the time to properly finish up lesson 12 and play some ice breakers so that the students can get to know one another.Beginners 2A [former Beginners 2A]: Clock Arithmetic, Part 1. Students will start learning basics of mod n arithmetic, that of a circle divided into n equal parts. Beginners 2B [former Beginners 2B]: Clock Arithmetic, Part 1. Students will start learning basics of mod n arithmetic, that of a circle divided into n equal parts.Chess club: Chess Club Meeting #9 (Final Meeting) Intermediate 1A [former Intermediate 1A]: Winter - Competition Day! Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:Today's class will be a fun competition for the kids to celebrate all of their hard work this quarter!Required Resources:Pencil, eraser, and the card game SET.Homework Due:NoneHomework Assigned:NoneContact 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!Intermediate 1B [former Intermediate 1B]: 3/12/2023 -- Intermediate 1B: Winter - Final Class Quarter Goals:Learn the basics of abstract algebraModel the card game SET with pure math and PythonClass Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will hold a math competition and then a set tournament for the last class. Required Resources:Pencil, eraser, and the card game SET.Homework Due:No homework. Homework Assigned:NoneContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 2A [former Intermediate 2A]: Competition Intermediate 2B [former Intermediate 2B]: Final Class (Fun Competition) Students will have a fun competition!Olympiads Training: BAMO Practice Spring 2023 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 A TrainingAMC 10/12 B TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2B 4/2/2023 Advanced 1A [former Advanced 1A]: Turing Machines Handouts: HandoutAdvanced 1B [former Advanced 1B]: Turing Machines Handouts: Advanced 2 [former Advanced 2A and 2B]: Mocking a Mockingbird Handouts: Advanced 3 [former Advanced 3]: Spring 2023. Week 1: Projective Lines Handouts: AMC 10/12 A Training: USAJMO/USAMO Problems Students will have a chance to work on the 2023 USAJMO and USAMO problems in class, and then we will discuss solutions.Handouts: USAJMO/USAMO ProblemsAMC 10/12 B Training: USAJMO/USAMO Problems Students will have a chance to work on the 2023 USAJMO and USAMO problems in class, and then we will discuss solutions.AMC 8 Training: Practice Test Handouts: Practice TestBeginners 1A [former Beginners 1A]: Lesson 13 Chessboard Games Beginners 1B [former Beginners 1B]: Lesson 13 Chessboard Games Beginners 1C [Former Beginners 1C class]: Chapter 13 Chessboard Games We will start off the spring quarter with chapter 13, Chessboard Games. Please prepare a transparent sheet protector and cut out the chessboard picture from the last few pages of the workbook for our next class. Beginners 2A [former Beginners 2A]: Clock Arithmetic, Part 2. We will continue to study the relationship between clocks and arithmetic. Time permitting, we may start our next topic, on the geometry of clocks.Beginners 2B [former Beginners 2B]: Clock Arithmetic, Part 2 Chess club: No class on 4/2. Intermediate 1A [former Intermediate 1A]: Spring - Proof Practice - Induction Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will learn about proof by induction by doing lots of practice problems!Please see the handout from the lesson attached below.Note that we will be covering this handout over multiple lessons.Students are not expected to finish the whole handout in class;instead, most students completed 1 to 4 problems, as we expected.Required Resources:Pencil, eraser, and scratch paper.Homework Due:NoneHomework Assigned:Although arithmetic/algebra is essential to prove statements “rigorously”, visual proofs are often more useful for building intuition.The homework for this week is to watch the following two videos and relate them to problems from the handout.Students should write down which problem in the handout each of these videos corresponds to, as well as how the two styles of proof differ in approach.Please note that the handout is not due as homework, even for students who were absent last class.Students who were absent are encouraged to read the first page of the handout and may attempt the problems if they want to.We’ve included the following video as a guided solution to Problem 1: Proof by induction | Sequences, series and induction | Precalculus | Khan AcademyContact 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!Handouts: Induction HandoutIntermediate 1B [former Intermediate 1B]: 4/2/2023 -- Intermediate 1B: Spring - Proof Practice - Induction We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will learn about proof by induction by doing lots of practice problems!Required Resources:Pencil, eraser, and scratch paper.Homework Due:NoneHomework Assigned:Watch the following two videos that prove problems 1 and 2 from the handout, and explain in a couple of sentences how these visual proofs relate to or differ from the algebraic proofs we saw in class:https://www.youtube.com/watch?v=OJ_3QK7kck8https://www.youtube.com/watch?v=9YpnoRkr4oQContact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Functional equations. Handouts: Intermediate 2B [former Intermediate 2B]: Functional Equations I Students will learn techniques for solving functional equations, a common topic in math competitions. Functional equations have applications to theoretical physics, financial markets, and more advanced mathematics.Handouts: 4/9/2023 Advanced 1A [former Advanced 1A]: Big Numbers Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Really Big Numbers Handouts: HandoutAdvanced 2 [former Advanced 2A and 2B]: Graph Flow Puzzles Handouts: HandoutAdvanced 3 [former Advanced 3]: Spring 2023. Week 2: Projective lines and planes Handouts: AMC 10/12 A Training: Graph Theory Introduction to graph theory, continuation of USA(J)MO exercises from last weekHandouts: worksheetAMC 10/12 B Training: Graph Theory Introduction to graph theory.Handouts: Graph TheoryAMC 8 Training: Circles Handouts: Beginners 1A [former Beginners 1A]: Lesson 13 Chessboard Games Continued Beginners 1B [former Beginners 1B]: Lesson 13 Chessboard Games Continued Beginners 1C [Former Beginners 1C class]: Chessboard games, continued. The class will continue studying chapter 13.Beginners 2A [former Beginners 2A]: Clock Arithmetic Part 2 and Time and Angles In this class, which will take place over Zoom, we will finish up Clock Arithmetic Part 2, and begin Lesson 27 (Time and Angles). Beginners 2B [former Beginners 2B]: Angles and Time Chess club: Chess Club Meeting #1 (Spring) Robert will be leading the chess club on this day.Intermediate 1A [former Intermediate 1A]: Spring - Proof Practice - Induction 2 Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will learn about proof by induction by doing lots of practice problems!Please see the handout from the lesson attached below.Note that we will be covering this handout over multiple lessons.Students are not expected to finish the whole handout in class.Required Resources:Pencil, eraser, and scratch paper.Homework Due:Although arithmetic/algebra is essential to prove statements “rigorously”, visual proofs are often more useful for building intuition.The homework for this week is to watch the following two videos and relate them to problems from the handout.Students should write down which problem in the handout each of these videos corresponds to, as well as how the two styles of proof differ in approach.Please note that the handout is not due as homework, even for students who were absent last class.Students who were absent are encouraged to read the first page of the handout and may attempt the problems if they want to.We’ve included the following video as a guided solution to Problem 1: Proof by induction | Sequences, series and induction | Precalculus | Khan AcademyHomework Assigned:No homework, we will move on to a new topic next class!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!Handouts: InductionIntermediate 1B [former Intermediate 1B]: 4/9/2023 -- Intermediate 1B: Spring - Proof Practice - Induction and Contradiction We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will continue our discussion on proof by induction by looking at more visual examples, and then move on to proof by contradiction!Required Resources:Pencil, eraser, scratch paper, and last week's handout.Homework Due:A couple of sentences on how the algebraic proofs from last week are similar to or different from their corresponding visual proofs.Homework Assigned:No homework this week.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Functional Equations II Intermediate 2B [former Intermediate 2B]: Functional Equations II Students will continue learning techniques for solving functional equations, a common topic in math competitions. Functional equations have applications to theoretical physics, financial markets, and more advanced mathematics. Additional exercises will be available for those who would like them.Handouts: 4/16/2023 Advanced 1A [former Advanced 1A]: Some examples connecting classroom math, contest math and higher math. A guest lecture by Dr. Zuming Feng, to be given in MS 4000 A.Advanced 1B [former Advanced 1B]: Some examples connecting classroom math, contest math and higher math. A guest lecture by Dr. Zuming Feng, to be given in MS 4000 A.Advanced 2 [former Advanced 2A and 2B]: Some examples connecting classroom math, contest math and higher math. A guest lecture by Dr. Zuming Feng, to be given in MS 4000 A.Advanced 3 [former Advanced 3]: Some examples connecting classroom math, contest math and higher math. A guest lecture by Dr. Zuming Feng, to be given in MS 4000 A.AMC 10/12 A Training: Graph Theory, Part 2 More graph theory theorems and problems, including continuation of unfinished exercises from last week.Handouts: worksheetAMC 10/12 B Training: Graph Theory Part 2 Continuation of the graph theory worksheet from last week.Handouts: Graph Theory 2AMC 8 Training: Number Theory Beginners 1A [former Beginners 1A]: Lesson 14 Recap and Quiz #4 Beginners 1B [former Beginners 1B]: Lesson 14 Recap and Quiz #4 Beginners 1C [Former Beginners 1C class]: Chessboard games' review. We will review chapter 13. If time remains, students will take quiz 4.Beginners 2A [former Beginners 2A]: Time, angles and geography We will finish our discussion of the relationship between angles and clocks (Lesson 27 - Angles and Time), and then revisit how angles and time on globes.Beginners 2B [former Beginners 2B]: Angles and Time part 2, bring a protractor! Chess club: Meeting #2 (Hairan) Intermediate 1A [former Intermediate 1A]: Spring - Graph Theory - Introductory Graph Theory Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will now jump to graph theory with some fun practice problems!The lesson handout is attached below.Please note that it is not required for students to have completed the lesson in class or to complete it as homework.We will continue working on this handout next lessonRequired Resources:Pencil, eraser, and scratch paper.Homework Due:None.Homework Assigned:There is no required homework.If students would like (especially absent ones), they can continue working through the lesson handout although, again, there is no expectation of students to do so.Absent students will be allowed to start this packet from the very beginning next class, and should not worry about catching up.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!Handouts: Graph Theory IntroIntermediate 1B [former Intermediate 1B]: 4/16/2023 -- Intermediate 1B: Spring - Graph Theory I We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will introduce graph theory.Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homework due.Homework Assigned:No homework assigned.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Logarithms Handouts: Intermediate 2B [former Intermediate 2B]: Logarithms and Exponents Handouts: 4/23/2023 Advanced 1A [former Advanced 1A]: Fundamental Theorem of Algebra Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Fundamental Theorem of Algebra Handouts: Handout | SolutionsAdvanced 2 [former Advanced 2A and 2B]: Linear Algebra 101 Handouts: HandoutAdvanced 3 [former Advanced 3]: Spring 2023. Week 3: Applications of Projective Geometry I Handouts: AMC 10/12 A Training: Number Theory Review of previously discussed topics, chicken mcnugget theorem, diophantine equationsHandouts: worksheetAMC 10/12 B Training: Number Theory We will go over the Chicken Nugget Problem and Diophantine equations.Handouts: Number TheoryAMC 8 Training: Logic Problems and Essential Formulas Beginners 1A [former Beginners 1A]: Review homework Lesson 14 and Introduce Lesson 15 The Abacus Beginners 1B [former Beginners 1B]: Review homework Lesson 14 and Introduce Lesson 15 The Abacus Beginners 1C [Former Beginners 1C class]: Lesson 15: The abacus, addition Students will need an abacus for this class with ten beads per wire.Beginners 2A [former Beginners 2A]: Euclidean geometry After a short quiz on clock arithmetic, we will start studying Euclidean geometry.Beginners 2B [former Beginners 2B]: Geometry of Time Chess club: Meeting #3 Intermediate 1A [former Intermediate 1A]: Spring - Graph Theory - Isomorphism and Crossing 1 Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will continue with the intro graph theory packet from last class, attached below.Students who finish this packet will move on to packets about graph isomorphism and crossing number.These extra packets are attached below; please note that they are not due as homework! Students will still be working through these packets in class.Required Resources:Pencil, eraser, and scratch paper.Homework Due:There is no required homework.If students would like (especially absent ones), they can continue working through the lesson handout although, again, there is no expectation of students to do so.Absent students will be allowed to start this packet from the very beginning next class, and should not worry about catching up.Homework Assigned:No homework and there is no expectation for absent students to complete any of the isomorphism or crossing packets.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!Intermediate 1B [former Intermediate 1B]: 4/23/2023 -- Intermediate 1B: Spring - Graph Theory II We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will continue our discussion on graph theory.Required Resources:Pencil, eraser, scratch paper, and last week's handout.Homework Due:No homework due.Homework Assigned:No homework assigned.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Logarithms II Handouts: Intermediate 2B [former Intermediate 2B]: Logarithms and Exponents Continued Handouts: 4/30/2023 Advanced 1A [former Advanced 1A]: Bézout's Theorem (part 1) Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Bezout's Theorem Handouts: HandoutAdvanced 2 [former Advanced 2A and 2B]: Lattice fun Handouts: Advanced 3 [former Advanced 3]: Spring 2023. Week 3: Applications of Projective Geometry Il AMC 10/12 A Training: Continued Fractions & Pell Equations Focus on Pell Equations and methods of solving via continued fractionsHandouts: worksheetAMC 10/12 B Training: Continued Fractions and Pell Equation Introduction to the method of continued fractions and solutions of Pell equations.AMC 8 Training: 3D Formulas Beginners 1A [former Beginners 1A]: Lesson 15 The Abacus, Addition Beginners 1B [former Beginners 1B]: Lesson 15 The Abacus, Addition Beginners 1C [Former Beginners 1C class]: Lesson 16, The Abacus, Subtraction Students will need their workbooks, pencils and erasers, and an abacus for this class.Beginners 2A [former Beginners 2A]: Euclidean geometry We will finish our discussion of systems of axioms. Then we will introduce Euclid's postulates for geometry.Beginners 2B [former Beginners 2B]: Introduction to Geometry Chess club: Meeting #4 Intermediate 1A [former Intermediate 1A]: Spring - Graph Theory - Isomorphism and Crossing 2 Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will continue with the packets about graph isomorphism and crossing number, attached below.Please note that these packets are not due as homework! Students will still be working through these packets in class.Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homework and there is no expectation for absent students to complete any of the isomorphism or crossing packets.Homework Assigned:No homework and there is no expectation for absent students to complete any of the isomorphism or crossing packets.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!Handouts: Graph Isomorphism | Graph CrossingIntermediate 1B [former Intermediate 1B]: 4/30/2023 -- Intermediate 1B: Spring - Graph Theory III We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will continue our discussion on graph theory.Required Resources:Pencil, eraser, scratch paper, and handouts from the last two weeks.Homework Due:No homework due.Homework Assigned:Attempt as much of the planar graphs handout as you can.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: More Combinatorial Games Handouts: Intermediate 2B [former Intermediate 2B]: Chomp Students will learn the mathematical game theory behind the game Chomp.Handouts: 5/7/2023 Advanced 1A [former Advanced 1A]: Bézout's Theorem (part 2) Advanced 1B [former Advanced 1B]: Bezout's Theorem 2 Handouts: Handout | SolutionsAdvanced 2 [former Advanced 2A and 2B]: Linear Puzzles Handouts: HandoutAdvanced 3 [former Advanced 3]: Spring 2023. Week 3: Applications of Projective Geometry Ill Handouts: AMC 10/12 A Training: Diophantine Equations Handouts: worksheetAMC 10/12 B Training: Pell's Equation and Diophantine Equations Introduction to Pell's equations and strategies to solve Diophantine equations in general.Handouts: Diophantine EquationsAMC 8 Training: Sequences and Series Beginners 1A [former Beginners 1A]: Lesson 15 The Abacus, Addition Review and Lesson 16 The Abacus, Subtraction Beginners 1B [former Beginners 1B]: Lesson 15 The Abacus, Addition Review and Lesson 16 The Abacus, Subtraction Beginners 1C [Former Beginners 1C class]: Lesson 17, The Abacus, Recap Students will need their textbook, abacus, pencil(s) and eraser(s) for this class.Beginners 2A [former Beginners 2A]: Introduction to Euclidean geometry We will begin learning Euclidean geometry, starting with Euclid's postulates.Handouts: handoutBeginners 2B [former Beginners 2B]: Intro to Geometry, again! Chess club: Meeting #5 Intermediate 1A [former Intermediate 1A]: Spring - Graph Theory - Isomorphism and Crossing 3 Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We will continue with the packets about graph isomorphism and crossing number, attached below.Please note that these packets are not due as homework! Every student finished these in class.Students who finish early will be given an extra fhands-on handout about drawing graphs on other surfaces!Please note that this packet is not due as homework!Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homework and there is no expectation for absent students to complete any of the isomorphism or crossing packets.Homework Assigned:No homework and there is no expectation for absent students to complete any of the class packets.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!Intermediate 1B [former Intermediate 1B]: 5/7/2023 -- Intermediate 1B: Spring - Graph Theory IV We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will continue our discussion on graph theory.Required Resources:Pencil, eraser, scratch paper, and handouts from the last three weeks.Homework Due:Attempt the planar graphs handout from last week.Homework Assigned:No homework assigned.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Hackenbush Handouts: Intermediate 2B [former Intermediate 2B]: Hackenbush Handouts: 5/14/2023 Advanced 1A [former Advanced 1A]: Primes and Factorization Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Primes and Factorization Handouts: Handout | SolutionsAdvanced 2 [former Advanced 2A and 2B]: Definable Sets Handouts: Advanced 3 [former Advanced 3]: 5/14/2023 -- Advanced 3: Spring 2023:Applications of Projective Geometry IV Handouts: AMC 10/12 A Training: Arithmetic Functions Introduction to arithmetic functions, a very important subject in number theory. Will cover basic properties, and famous examplesHandouts: worksheetAMC 10/12 B Training: Pell's Equation and Arithmetic Functions More exercises on Pell's equation. Introduction to some arithmetic functions.Handouts: HandoutAMC 8 Training: Practice Test Beginners 1A [former Beginners 1A]: Lesson 16 The Abacus, Subtraction Beginners 1B [former Beginners 1B]: Lesson 16 The Abacus, Subtraction Beginners 1C [Former Beginners 1C class]: Lessons 16 & 17 homework Beginners 2A [former Beginners 2A]: Introduction to Euclidean Geometry 2 Having introduced our definitions in the last class, we will start to learn how to construct and compare triangles using only our straight edge and compasses.Handouts: handoutBeginners 2B [former Beginners 2B]: Intro to Geometry (continued) Chess club: Meeting #6 Intermediate 1A [former Intermediate 1A]: Spring - Cryptography - Caesar and Vigenère Ciphers Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We move on from graph theory into a different hands-on topic: cryptography!Students will practice writing secrete messages using various ciphers.The packet for the class will be attached below after the lesson.Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homework and there is no expectation for absent students to complete any of the prior class packets.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!Handouts: Cryptography 1Intermediate 1B [former Intermediate 1B]: 5/14/2023 -- Intermediate 1B: Spring - Cryptography I We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will introduce cryptography by exploring different types of ciphers.Required Resources:Pencil, eraser and scratch paper.Homework Due:No homework due.Homework Assigned:No homework assigned.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Polynomials, Vieta's Formulas, Convex Functions Handouts: Intermediate 2B [former Intermediate 2B]: Polynomials, Vieta's Formulas, Convex Functions Handouts: 5/21/2023 Advanced 1A [former Advanced 1A]: Prime factorization part 2 Handouts: Handout | SolutionsAdvanced 1B [former Advanced 1B]: Primes and Factorization 2 Handouts: HandoutAdvanced 2 [former Advanced 2A and 2B]: Knots Advanced 3 [former Advanced 3]: Advanced 3: 5/21/2023 -- Advanced 3: Spring 2023 Final contest/exam AMC 10/12 A Training: Complex Number Geometry Geometry, using complex numbersHandouts: worksheetAMC 10/12 B Training: Complex Numbers and Geometry Introduction of complex number method in solving geometry problems.Handouts: Complex Number GeometryAMC 8 Training: Practice Test Beginners 1A [former Beginners 1A]: Lesson 17 Recap and Quiz 5 Beginners 1B [former Beginners 1B]: Lesson 17 Recap and Quiz #5 Beginners 1C [Former Beginners 1C class]: Lesson 18: Roman numerals, the skipped rule We will go back to roman numerals before starting a new topic. It would be helpful for children to review the rules for making roman numerals on pages 31-32.Homework is to review quiz 5 with your children, correct all problems that they missed (if any), sign it and bring back to the next class. If you student has not taken it yet, please ask them to take it at home and bring to the next class (pages 291-292). 20 mins max, no assistance pleaseBeginners 2A [former Beginners 2A]: Introduction to Geometry, Lesson 2 We will finish our introduction to Geometry, focusing on using our only available tools to recreate triangles with given dimensions or angle(s). We will practice making rigorous arguments about the properties of Beginners 2B [former Beginners 2B]: Intro to Geometry (final) Intermediate 1A [former Intermediate 1A]: Spring - Cryptography - RSA Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We continue studying cryptography.The packet for the class will be attached below after the lesson.Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homeworkHomework Assigned:No homeworkContact 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!Handouts: RSAIntermediate 1B [former Intermediate 1B]: 5/21/2023 -- Intermediate 1B: Spring - Cryptography II We will meet from 4-6 pm at Math Sciences 6229Class Plan:We will continue our discussion on cryptography by exploring simplified RSA encryption.Required Resources:Pencil, eraser, scratch paper and last week's handout.Homework Due:No homework due.Homework Assigned:No homework assigned.Contact Information:Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu, or Siddarth Chalasani, darthsid2000@ucla.edu, if you have any questions, comments, or concerns!Handouts: HandoutIntermediate 2A [former Intermediate 2A]: Discrete Logs Intermediate 2B [former Intermediate 2B]: Discrete Logarithms and Cryptography Handouts: 5/28/2023 Intermediate 1A [former Intermediate 1A]: Spring - NO CLASS FOR MEMORIAL DAY We wish all families a restful weekend and we thank all those who have served to defend the US 6/4/2023 Advanced 1A [former Advanced 1A]: Final class of the year Handouts: ProblemsAdvanced 1B [former Advanced 1B]: Final class of the year Advanced 2 [former Advanced 2A and 2B]: Game Handouts: Rules | TeX archive | Solutions | Game dominoesAdvanced 3 [former Advanced 3]: Advanced 3: 06/04/2023 -- Advanced 3: Spring 2023:Applications of Projective Geometry V AMC 10/12 A Training: End-of-year Contest ARML-style end-of-year contest, with AMC problems to review topics we have discussed throughout the yearHandouts: worksheet | solutions(references)AMC 10/12 B Training: End-of-Class Contest A contest in Olympiad format.Handouts: EGMO | EGMO_solutionsAMC 8 Training: Last Week: Review Game! Beginners 1A [former Beginners 1A]: The Last Class of the Year Beginners 1B [former Beginners 1B]: The Last Class of the Year Beginners 1C [Former Beginners 1C class]: Last class of the year. Beginners 2A [former Beginners 2A]: End of year! 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.Beginners 2B [former Beginners 2B]: End of Year Activity/Competition! Chess club: Meeting #7 The last meeting of the year! There will be a tournament with some prizes for the winners :) Intermediate 1A [former Intermediate 1A]: Spring - Competition Day! Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We end the year with a fun competition!Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homeworkHomework Assigned:No homeworkContact 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!Intermediate 1B [former Intermediate 1B]: 6/4/2023 -- Intermediate 1B: Spring- Competition Day! Class Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We end the year with a fun competition!Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homeworkHomework Assigned:No homeworkContact Information:Intermediate 2A [former Intermediate 2A]: Competition Intermediate 2B [former Intermediate 2B]: Fun Competition Class Handouts: