In this, last meeting of the year, we will finish our discussion of mathematical logic, by continuing with our analogy of logical operations and electrical circuits. There will be a short quiz.
We finish our study of programming. Thanks to everyone for the great year!
Location and Time:
This class will be held in person from 4 - 6 pm at Mathematical Sciences 6221.
Required Resources:
We ask that all students who can bring their own laptops and chargers. For students who are not able to, we will provide the proper materials.
Homework Due:
We ask every student to continue their exploration of the Turtle module in Python (https://tinyurl.com/ormcB2Aturtles), by creating their own drawing to be submitted. We will be anonymously voting on student submissions next class, as an informal programmatic art contest of sorts. For this purpose, we ask every student to create and save a drawing in the form of a screenshot. Their artwork, as well as the code that generated it, should be submitted to the following Google Form: https://forms.gle/nKvPjFWvvnyLJPKT6.
Homework Assigned:
None. Enjoy the summer break!
Contact Information:
Please reach out to the instructors Andy Shen at andyshen55@g.ucla.edu, Naji Sarsam at najisarsam@g.ucla.edu, or Rachel Zhang at rzhang319@g.ucla.edu if you have any questions, comments, or concerns!
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.
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.
Introduction to ACM 10/12-level. Algebra techniques including: factoring, equations and systems of equations, functions and recursive functions, and logarithms.
Practice employing programming to solve difficult math problems
Class 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:
None
Homework 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!
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.
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.
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.
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.
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-5 pm (only 1 hour lecture due to fundraising event aftewrard) at Math Sciences 6221
Class Plan:
We continue our study of modular arithmetic
Required 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!
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.
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class 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 optional
Homework 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!
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.
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.
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.
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.
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.
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.
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.
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.
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class 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 optional
Homework 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!
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.
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.
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).
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class Plan:
We continue our study of Python.
Required Resources:
A computer with mouse and charger being optional
Homework Due:
Homework 1 multiple choice worksheet
Homework Assigned:
Homework 2 multiple choice worksheet
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!
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.
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.
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.
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class Plan:
We continue our study of Python.
Required Resources:
A computer with mouse and charger being optional
Homework Due:
Homework 2 multiple choice worksheet
Homework Assigned:
Homework 3 multiple choice worksheet
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!
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.
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!
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class Plan:
We continue our study of Python.
Required Resources:
A computer with mouse and charger being optional
Homework Due:
Homework 3 multiple choice worksheet
Homework Assigned:
Homework 4
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!
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.
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.
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class Plan:
We continue our study of Python.
Required Resources:
A computer with mouse and charger being optional
Homework Due:
Homework 4 multiple choice worksheet
Homework 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!
Discussion of piecewise functions, strategies for solving, and important piecewise functions like absolute value and floor. (Also reviewing Binomial Coefficients from previous weeks).
Practice employing programming to solve difficult math problems
Class Logistics:
We will meet from 4-6 pm at Math Sciences 6221
Class 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!
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.
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.
Multiplication is standardly introduced as repeated addition. In this lesson, students will learn that division can be introduced as repeated subtraction.
Multiplication is standardly introduced as repeated addition. In this lesson, students will learn that division can be introduced as repeated subtraction.
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!
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:
TBA
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!
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.
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!
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 1
Homework Assigned:
TBA
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!
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.
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!
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:
TBA
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!
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.
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.
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!
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!
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 form
Instructions 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!
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 assigned
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!
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.
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.
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.
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.
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 form
Instructions 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 thisColab notebook about functionsas 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 shortColab review notebookas 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!
Instructions 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!
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.
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 thisColab notebook about functionsas 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 shortColab review notebookas homework.
Please note that we are not asking any students to complete both notebooks.
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!
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!
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.
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.
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.
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.
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:
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!
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!
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.
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:
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!
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:
None
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!
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.
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.
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!
We will learn about proof by induction by doing lots of practice problems!
Required Resources:
Pencil, eraser, and scratch paper.
Homework Due:
None
Homework 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_3QK7kck8
https://www.youtube.com/watch?v=9YpnoRkr4oQ
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!
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.
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.
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!
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!
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.
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.
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 lesson
Required 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!
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!
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!
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!
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!
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!
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!
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!
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.
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!
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!
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 please
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
The packet for the class will be attached below after the lesson.
Required Resources:
Pencil, eraser, and scratch paper.
Homework Due:
No homework
Homework Assigned:
No homework
Contact Information:
Please reach out to the instructors Andy Shen at andyshen55@g.ucla.edu or Naji Sarsam at najisarsam@g.ucla.edu if you have any questions, comments, or concerns!
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!
