Math Circles
are classes for curious students who love math and want to learn more than school curriculum could offer. Math circles teach problem-solving, creative thinkng, proofs and logical reasoning.The goals of the math circes are:
We offer math circles for advanced students in grades 2 to 10. The admission to math circles is selective.
Please read the descriptions of our math circle classes below.
School Math Done Right
is a middle school program (open to advanced 5th graders) that is designed to teach quality middle school curriculum and more.Many bright students who loved mathematics in elementary grades, find themselves wondering, what has gone wrong in their middle school math classes. Our goal is to provide in-depth explanations and instructions to make sure the students have deep understanding of the material, and feel confident when they start high school.
School Math Done Right is based on time-tested Eastern European materials and approach: solid Algebra skills, challenging problem solving, rigorous Geometry reasoning, Combinatorics, and, most importantly, understanding of “how and why things work.” The program also includes additional components that emphasize logic, mathematical reasoning and computational thinking. Classes for higher grades prepare for contest such as AMC 8/10.
These classes could be taken together or separately from our math circles. Admission is selective.
Beginner Circle is our class for the youngest students, in grade 2. Our main goal in this circle is to develop students' reasoning and creative thinking abilities, and to explore mathematics outside school arithmetic. We will engage kids in discussions, problem solving, hands-on activities, and games.
This class is suitable for students who are not only interested in mathematics, but are mature and focused enough to actively participate during the whole duration of the class (one hour).
This circle is designed for advanced 3rd graders and 4th graders. Our unique curriculum combines diagram problem-solving methods, and logical reasoning. In this circle we introduce students to math concepts and ideas through hands-on experience. The students will learn how to approach logical puzzles, unusual word problems, learn about cryptography and ciphers, binary numbers, fractals, and more.
This class is for the advanced 4th graders and 5th graders, and is open to the graduates of Junior Circle 1 as well as new students (as determined by testing). The curriculum builds on the concepts introduced in Junior Circle 1, and the goal is to continue to learn creative step-by-step problem analysis, as well as thinking about a problem logically and from multiple perspectives. The topics and problem-solving techniques including logic, parity, word problems, constructive problems, elements of the graph theory, elements of combinatorics, number puzzles. Practicing mental math methods, and engaging in friendly math competitions is an essential part of the class.
The circle is about more advanced math concepts and more challenging problems than Junior Circle 2. The “hands-on” element of the curriculum is balanced with more advanced material required for building a solid foundation for our middle school program. The students will learn about arithmetic and algebraic method for word problems, elements of number theory, weighings and other types of construction problems, visual geometry, combinatorics, speed and distance relation problems. While working on these topics and learning new problem-solving solving techniques, the students will be exposed to all elements of mathematical inquiry: creative exploration, rigorous proof and clear explanation. Math tournaments and games such as Math Auction, Math Hockey and Math Dominoes remain a vital part of this circle's curruculum.
This circle is designed for 6th-7th grade students with or without previous math circle experience. We will explore in more depth: parity, logic problems, divisibility and number theory, combinatorics, constructive problems, cryptography, and game theory. We'll also work on developing of the concepts of logical reasoning, justification, and proof. This circle offers problems of increasing difficulty, from basic excersises on the applying the material covered to challenging problems similar to the ones appearing on UW Math Hour Olympiad. Some of the classes will be devoted to math contests and competitions – educational ways to get students engaged in active problem solving.
Admission is selective: by the results of the placement test, by math circle teacher recommendation, or by a qualifying score from a relevant math contest.
This circle is for the students of grades 7-8 who have already attended a math circle, or are familiar with our Intermediate 1 topics, or are ready to put in extra work to catch up with our Intermediate 1 program. We'll be expanding our understanding of previous topics, and we will be introducing a wide variety of new topics and problem-solving techniques. We'll be learning proofs by contradiction, necessity and sufficiency, and other proof concepts. The students will get acquainted with elements of divisibility theory, graph theory, invariants, colorings, geometry, strategic games, and number systems.
Admission is selective: by the results of the placement test, by math circle teacher recommendation, or by a qualifying score from a relevant math contest.
Modern computer science is largely built on branch of mathematics called discrete mathematics – the study of structures that have a discrete nature. Logical statements, graphs, and integer numbers serve as examples of such structures. These mathematical structures find wide application in computing. The course focuses on selected topics in discrete mathematics and their applications in computer science. The students will learn about Boolean logic and logic gates, induction, recursion, number systems, data compression algorithms, and more.
Admission is selective: by the results of the placement test, by math circle teacher recommendation, or by a qualifying score from a relevant math contest.
Our grades 6-7 program is all about deep understanding of key middle school math topics. In Algebra component, we work on equations, percentages, prime factorization, divisibility, and other. Our Word Problems component covers rates, motion, fractions, percentages. We teach students that a visual approach and search for a meaning behind a problem are the essential steps required for writing a correct equation. In Mental Math, we work on developing mental math skills and on the way to apply them in problem solving. In Geometry, we concentrate on spatial geometry, and on problems that use angles, areas and volumes. We introduce students to simple proofs and practice working with geometric tools: compass , ruler, and protractor. Every session includes problems on logic, reasoning and lateral thinking.
Admission is selective: by the results of the placement test, by math circle teacher recommendation, or by a qualifying score from a relevant math contest.
The goals of our advanced grades 7-8 program are preparation for high school math courses. In Algebra, we keep honing the existing skills, and introduce new topics: factorizations, exponentials, inequalities, quadratics. Our Word Problems section presents more challenging problems, but still emphasizes visual approach and search for a meaning behind a problem. In Geometry, we introduce more challenging problems that require geometrical reasoning.Every session includes problems on logic, reasoning and lateral thinking.
Admission is selective: by the results of the placement test, by math circle teacher recommendation, or by a qualifying score from a relevant math contest.