Students will explore anagrams, the pigpen cipher, and the rail fence cipher. At the end of class, we'll recap the material from the first two classes and, if time permits, take a quiz.
Students will finish last week's packet if they haven't already, gaining an understanding of all the basics of Python as well as the Turtle module. Students will also get more involved, hands-on practice.
Utilizing methods from previous classes; the number line and the lit windows game, students will delve into significantly harder subtraction problems. Then, complete quiz 4.
Utilizing methods from previous classes; the number line and the lit windows game, students will delve into significantly harder subtraction problems. Then, complete quiz 4.
Students will learn about double negations with their instructors and then take a quiz covering chapters 10-14. With remaining time, we will move on and start chapter 15, exploring line land, a one-dimensional world.
In this class students will go over the homework from chapter 8, complete quiz 5, and with the remaining time either do challenge problems or make up quizzes from when they were absent.
In this class students will go over the homework from chapter 8, complete quiz 5, and with the remaining time either do challenge problems or make up quizzes from when they were absent.
Students learn about iterated functions and one of the hardest unsolved math problems. This worksheet is also an introduction to what kinds of problems professional mathematicians like to think about.
A comprehensive introduction to Python programming using the online compiler "Trinket.io." Further exploration of the drawing board module "Turtle" and the quantitative module "Math".
In class we will go over chapter 5 (which is the homework), introduce larger symbols for roman numerals, and then the students will do practice problems.
In class we will go over chapter 5 (which is the homework), introduce larger symbols for roman numerals, and then the students will do practice problems.
This week, we reviewed recursive functions and fractals. We looked at several new examples of recursive functions from mathematics. We also took another look at one of the more challenging problems from last week involving the Koch snowflake.
Students learned about properties of exponentiation (powers) and were introduced to logarithms. We also covered applications to carbon dating and to finance.
One of the Olympiads instructors, Nikita Gladkov, has recently disproved an important combinatorial hypothesis, known as the bunkbed conjecture. He has made a handout where his work is broken into problems, giving students a chance to rediscover the result.
This class's packet covered the basics of the p-adic number system and how it works. The error regarding values for letters in bases greater than 10 is resolved.
Students will continue exploring applications of the triangle congruence test. If there is leftover time they will begin looking at isosceles triangles.
A generating function is a clothesline on which we hang up a sequence of numbers for display. We will learn to do combinatorics with the help of algebra.
We will finish up our discussion of Flatland, covering Chapter 17 and a quiz on Flatland and Lineland topics. Students will then work together to make storyboards for animations on Life in Flatland. Finally we will start on Chapter 18 -- Forward and Backward reasoning using functions.
Students will wrap-up their study of circles before moving on to Chapter 9 (Parallel Lines). If they have additional time, they'll return to Chapter 8, which focuses on constructions.
Students will wrap-up their study of circles before moving on to Chapter 9 (Parallel Lines). If they have additional time, they'll return to Chapter 8, which focuses on constructions.
We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.
We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.
We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.
We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.
We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.
We will have a special event, named My Favorite Math Competition Problem, to honor Tiger (Qiao) Zhang winning gold medal at the International Math Olympiad in 2024. Four speakers will each present their favorite math competition problem, including a solution and necessary mathematical background.
We will have a special event, named My Favorite Math Competition Problem, to honor Tiger (Qiao) Zhang winning gold medal at the International Math Olympiad in 2024. Four speakers will each present their favorite math competition problem, including a solution and necessary mathematical background.
We will have a special event, named My Favorite Math Competition Problem, to honor Tiger (Qiao) Zhang winning gold medal at the International Math Olympiad in 2024. Four speakers will each present their favorite math competition problem, including a solution and necessary mathematical background.
I hope that everyone is safe and doing OK during these difficult and tragic times.
As you have heard from Dr. Gleizer, math circle will be remote on Sunday. It is hoped that we will be able to return to in person classes a week from Sunday.
I will run through Zoom etiquette at the beginning of class. I have taught two separate Zoom math circles, so I have some strategies for keeping our class interesting. I understand that some children (my own included) have had enough Zoom teaching for one life time, and I will understand if inclination or circumstances prevent families from participating in our Zoom class.
For class, children will need:
A blank cube
A piece of paper large enough to contain a net of the cube
Scissors
Their workbook
To show me and the TAs their working:
Either a markerboard and wipeable markers (students who bought transparent sheet protectors for the dot party could use them again, with a plain sheet of paper inside)
or:a stack of scratch papers with a Sharpie or other marker to write on with.
We finished up our fractals unit. We considered what the "dimension" of a shape really means geometrically, and used this to compute the surprisingly non-integral dimension of the Koch curve.
We will do a short review of paths on a cube and Egyptian multiplication. Then we will discuss binary arithmetic. In BNP1 we learned how to add and subtract binary numbers. Now we will learn to multiply them.
We will learn to restore a polynomial by its values. The class will take place in zoom: https://ucla.zoom.us/j/99674950379?pwd=lbyNmXuH8rK9ZhEBIbqwAABmAUk5Tz.1
Students will solve problems from International Linguistics Olympiad (IOL) and North American Computational Linguistics Open Competition (NACLO), arranged in approximate order of difficulty.
Students will solve problems from International Linguistics Olympiad (IOL) and North American Computational Linguistics Open Competition (NACLO), arranged in approximate order of difficulty.
Students will finish up Chapter 11 before starting Chapter 12, the final chapter on shapes, discussing rhombi, rectangles and squares. If they have additional time they will start Chapter 13, using graph paper to prove various constructions.
Students will work on Chapter 11, Parallelograms, and if left extra time will start on the final chapter on shapes (covering parallelograms, rectangles and rhombi).
For the first hour, we discussed random walks and their use in certain probability problems. For the second hour, we used Python to predict investment returns based on historical data.
We will do Quiz 6 over (it will be a different quiz, but covering the same topics), then discuss Euclid's algorithm. In the last half of the class we will start to get ready for the Math Kangaroo.
Students will finish up chapter 12, the final in the series on shapes, before moving on to chapter 13, covering constructions and proofs using graph paper.
After reviewing the challenge problems, students will do another MK practice test. Then we will skip over Chapter 25, and start on Chapter 26 (clock arithmetic). No special materials are needed. Next class will be our last opportunity to record Flatland stories. (I will be editing them into a single video to watch after class on 2/23). Encourage your child to bring their story board if they are one of the small number of students who has not yet recorded their Flatland story.
We will discuss modulo arithmetic (lesson 25). We will end the class with the World Premiere of our Flatland Stories movie, created in class by the students. Parents are welcome to the screening which will be at 2.55pm.
All students will finish Chapter 15, on the mid segment of a triangle, and those that finish early will start on Chapter 16, covering the Intercept Theorem.
We will finish Lesson 27 and start Lesson 28, continuing to think about the connections between measurements of angles, time and circular number lines.
Today, students studied basic linear algebra, including parameterization of lines. Students also investigated how to recast a few basic "geometry of mass" ideas in terms of vectors and coordinates.
Today, students were introduced to the Stock Market Game, which is a simulated stock market where they can try out different financial strategies. We also introduced new concepts like the rule of 72.
Students finished the rest of last week's packet and started on this one. This packet goes more in detail to how a portfolio's value is computed. It also introduced "dollar cost averaging", which is an investment strategy that helps minimize risk.
Students continued with the third geometry of masses packet. Note that this version of the packet has a few extra problems at the end for students who had finished the packet last time. At the end of class, students continued with the stock market game.
We will use our new understanding of finite field arithmetic to explore divisibility rules: you may already know how to easily tell if a number is divisible by 3 or 9. Can you easily tell if it is a 11 fact? Or a 7 fact?
Students will review what they learned from odd and even numbers part, which they should finish for homework. Then we will go into more challenging problems in chapter 25.
Students will review what they learned from odd and even numbers part, which they should finish for homework. Then we will go into more challenging problems in chapter 25.
For the last class, we will do a fun partner competition called dominoes that reviews the material from this year. Please complete chapter 25 this week for homework.
For the last class, we will do a fun partner competition called dominoes that reviews the material from this year. Please complete chapter 25 this week for homework.
Students played the games "Sprouts" and "Brussels Sprouts". These are basic games that can be played on any piece of paper or whiteboard, but they have many surprising mathematical properties. You can read more about them at the link here.
