Student Classes

Parents are allowed to drop off students at 9:30 am. Classes are from 10:00 am to 3:00 pm. There will be a supervised lunch period from 12:00 pm to 1:00 pm in which students must bring lunch and drink. Students are NOT allowed to leave campus to purchase lunch. We will also have an optional after-school mathematical activities session from 3:00 pm to 5:00 pm.

Remote classes will be from 10-12pm, and 1-3pm. There will be an unsupervised lunch hour from 12pm-1pm.

Bring a notebook and pencil or pen to class. MS classes usually assign about half an hour of homework weekly, whereas HS classes assign about one hour. Year 1 for the HS curriculum starts in the fall of even years (e.g., fall 2022), and year two starts in the fall of odd years.

MSA is a one-year program appropriate for Elementary or Middle School students who are new to problem-solving. They should have strong arithmetic skills and an interest in learning mathematics beyond the school curriculum. Topics and sample questions.

MSB is a one-year intermediate program appropriate for students who have completed the equivalent of MSA. Topics and sample questions.

HSA is a two-year program appropriate for younger high school students and advanced middle school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Visit the High School Summer Program page for information.

Visit the High School Summer Program page for information.

Targeted audience: By invitation only. Alumni & High School Seniors only.

May 21, 2023 @ 10 am. Andrew Yang (Google) Software Careers: I’ll discuss my journey from studying math to entering software engineering. This will include a discussion of the differences between academia and industry, what has changed in the past 20 years, and how math broadly applies to some of the best jobs today.

Bring a notebook and pencil or pen to class. MS classes usually assign about half an hour of homework per week, whereas HS classes assign about one hour. Year 1 for the HS curriculum starts in the fall of even years (e.g., fall 2022), and year 2 starts in the fall of odd years.

MSA is a one-year program appropriate for Elementary or Middle School students who are new to problem-solving. They should have strong arithmetic skills and an interest in learning mathematics beyond the school curriculum. Topics and sample questions.

MSB is a one-year intermediate program appropriate for students who have completed the equivalent of MSA. Topics and sample questions.

MSC is an advanced one-year program appropriate for students who have completed the equivalent of MSB and have had exposure to Algebra 1. Topics and sample questions.

New and current students wishing to move up a section will need to take a placement exam. Please email a request to us at info@nymathcircle.org

Students attending the Clinton School classes should wear a mask unless the instructor indicates otherwise.

Presenting Polygons. In this three-day workshop, students will explore polygons. They will be able to identify them by the number of sides. They will distinguish between regular and irregular polygons. They will be able to find the sum of the measures of the angles of a polygon. They will be able to find the measure of each angle of any regular polygon. They will develop the formula for finding the area of a regular polygon. Students will need a scientific calculator and should have working knowledge of computers as there are several websites we will access.

MS Intro to Geometry: This three-day workshop is targeted at Middle School students who a have basic understanding of geometric shapes (triangle, quadrilateral, rectangle, square, parallelogram, rhombus, kite, trapezoid/isosceles trapezoid, circle) and angles (right angle, straight angle, parallel lines, acute angle, obtuse angle, degree measure). We will discuss problems involving circle geometry, the Pythagorean Theorem, and its applications, including coordinate geometry and finding areas of shaded regions (e.g., bounded by two sides of a right triangle and a circle inscribed into it.) The problems will be on the National MathCounts level.

HS Contest Topics in Geometry: This three-day workshop targets students with a solid foundation in basic geometry. For example, a score of 95+ on Geometry Regents would qualify a student for this class. This 3-class workshop will cover some common ideas in Plane Geometry, problems involving areas, and 3D geometry. The level of the problems will be AMC 10 #15-#25.

Recursive Sequences: Two-day workshop. A sequence is a list of things (usually numbers) that are in order. Many sequences have patterns that a recursive formula can describe. In Algebra class, we learned that general methods exist to find the explicit formula for arithmetic and geometric sequences, but what about other recursive sequences? In this workshop, we will explore methods of writing explicit formulas for some sequences that are neither arithmetic nor geometric. We will also examine Fibonacci-style sequences in the form x_(n+1)=a*x_(n)+b*x_(n-1) and find the explicit formula of the Fibonacci Sequence with elementary algebraic methods. At the end of the workshop, we'll look at how the Golden Ratio is related to the Fibonacci Sequence. This workshop is recommended for students familiar with arithmetic and geometric sequences and solving systems of linear equations.

In this modular origami class, you'll learn how to create beautiful 3D shapes using the water base unit. With this versatile unit, you'll be able to make a variety of geometric shapes including a hexahedron, octahedron, 6-pointed star, flexastar, hollow star, hollow octahedron, and possibly even a butterfly bomb. Our instructor will guide you through each step, helping you to create stunning origami pieces that you can be proud of. There will be a raffle for a book with more advanced modular origami models. You can see the images of the models here. Link: https://share.icloud.com/photos/0f1kQoTsivVX_hDxUtR2XHk4g

HIGH SCHOOL

The Sum-Product Problem

DESCRIPTION: The sum-product problem is a major open problem in mathematics. Several of the world's leading mathematicians have been struggling with this problem over the past decades, making slow progress. At the same time, hardly any mathematical background is required for understanding this problem, since it only deals with sums and products of numbers. We will discuss the sum-product problem and see one of the major breakthroughs that was made for it. We will also have a brief chat about math research projects for high-school students.

Adam Sheffer is a professor of mathematics at the CUNY Graduate Center and the Director of Computer Science at CUNY's Baruch College. He is also the director of two programs where promising college students from across the country pursue math research, sponsored by the National Science Foundation. This year, his book "Polynomial Methods and Incidence Theory" was published by Cambridge University Press.

This is targeted to HS students. Due to limited space available, parents and guests are not invited. Light snacks will be served from 12:00pm to 12:30pm.

Students attending the Clinton School classes should wear a mask unless the instructor indicates otherwise.

Bring a notebook and pencil or pen to class. MS classes usually assign about half an hour of homework per week, whereas HS classes assign about one hour.

MSA is a one-year program appropriate for Elementary or Middle School students who are new to problem-solving. They should have strong arithmetic skills and an interest in learning mathematics beyond the school curriculum. Topics and sample questions.

MSB is an intermediate one-year program appropriate for students who have completed the equivalent of MSA. Topics and sample questions.

MSC is an advanced one-year program appropriate for students who have completed the equivalent of MSB and have had exposure to Algebra 1. Topics and sample questions.

New students and current students wishing to move up a section will need to take a placement exam. Please email a request to us at info@nymathcircle.org

Elementary School Workshops consist of three one hour sessions, and classes are capped at 12 students. Class A (1-2 pm) is for students below fourth grade. Class B (2-3 pm) is for fourth- and fifth-grade students and will go faster than Class A. Students will work in groups to solve problems. We will discuss efficient methods of problem-solving.

ES PROBLEM-SOLVING 1: Logic and patterns.

ES PROBLEM-SOLVING 2: Guess and check; draw a picture.

ES PROBLEM-SOLVING 3: Make a chart/table; simplify.

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Middle School Workshops consist of three two hour sessions.

MS CONTEST 1 TOPICS: Algebra - Digits Problems, Base-n numbers, Discussion of cases.

MS CONTEST 2 TOPICS: Geometry - Triangles & Quadrilaterals, Circles & Volume, Funky Figures.

MS CONTEST 3 TOPICS: Probability - Probability, Geometric Probability, Combinations, and Permutations.

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Mathematics of Origami: During this two-session workshop, we will explore modular origami - ways of combining origami units to make more complicated shapes. This workshop is hands-on - we will make some of the models in this video.

The Summer MSHS Math Circle is a weekday program for students entering grades 6-12 in the fall that runs for two weeks, four hours a day. A typical day consists of a class in the morning, followed by an offline, unsupervised one-hour lunch, and a class on a different topic in the afternoon. Instructors are very friendly and helpful. We do expect students to use their registration names and turn on their live videos during online class sessions. Virtual backgrounds are allowed.

MSA/MSA+: Geometry and Algebra to describe patterns

MSB/MSB+: Algebra and Graphing, and Math contest topics

MSC/MSC+: Continued Fractions, from Pythagorean triples to Fermat's last theorem for n=3 and n=4

HS Problem Solving: Math contest topics, and Algebra

New students are required to take a placement test. You will receive a link to download the exam after registering your child. Please submit the exam within 48 hours of registration. We will need to see FULL SOLUTIONS HANDWRITTEN.

Current students wishing to move up a section will also need to take a placement exam. Please email a request to us at info@nymathcircle.org

Visit the High School Summer Program page for information.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Proof-writing will be an important component of this course. Topics and sample questions. Here is a sample of Student Work

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have a deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem-solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions. Here is a sample of Student Work

College Bridge is a course designed to challenge our most advanced students who plan to take higher-level mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Dr. Ustinovskiy will cover some topics that typically appear on USAMO. These topics are not only useful for Olympiad participants but are also of intrinsic interest. There is a short placement test to identify suitable students. Topics.

Students already taking other classes may take this class as well if they meet the admission standards.