### 2016-2017 Prime Factor Math Circle Classes

Join our math circles for students grades 2 and up!

In a math circle, students explore the fun side of mathematics and go beyond school curriculum.
We encourage critical thinking and interactive discussions between teachers and students, while
consistently promoting the ideas of rigorous proofs and logical reasoning.
Fun puzzles, educational mathematical games, and tournaments are an essential part of our curriculum.

All circles share the same methodology;
however, the scope of the presented material and presentation approach will differ.

### 2016-17 Math Circles

#### Beginner Circle (grade 2):

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).

#### Junior Circle 1 (grades 3-4):

In this circle, we will work on challenging
word problems and get to explore advanced math concepts and ideas through hands-on
experience. We'll introduce the ideas of mathematical reasoning,
logic and mathematical proof in a fun and engaging way.

The students will learn how to approach logical puzzles, unusual word problems, learn about cryptography and ciphers,
binary numbers, fractals, and more.

To view a sample curriculum from this class visit the
Archives page.

#### Junior Circle 2 (grades 4-5):

In this class, the graduates of Junior Circle 1 as well as new students continue to learn creative
step-by-step problem analysis, as well as thinking about a problem logically and from multiple perspectives.
We’ll explore various topics and problem-solving techniques including
logics, parity, word problems, constructive problems, elements of the
graph theory, elements of combinatorics, number puzzles. We will do a lot of work on challenging problems that require creativity and out-of-the-box
thinking. Math contests, tournaments, and games remain a part of the curriculum as an educational and
enjoyable way to engage in problem solving.

To view a sample from this class visit the
Archives page.

#### Junior Circle 3 (grades 5-6):

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: logic problems, parity, elements of
divisibility theory, weighings and other types of construction
problems, creative word problem solvings, visual geometry,
combinatorics, smart trial and error, and number theory.
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.

To learn more about this class visit the
Archives page.

#### Intermediate Math Circle 1 (grades 6-7):

This circle is intended 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 math reasoning, justification, proof and the
basic ways of logical reasoning. We'll also spend a
lot of time working on the challenging problems that
mostly require brainpower, creativity and common sense. Some of the classes
will be devoted to math contests and competitions – educational
ways to get students engaged in active problem solving.

#### Intermediate Math Circle 2 (grades 7-8):

This circle is for the students of grades 7-8 who have
already attended a math circle, or are familiar with our
Math Circle 1 topics, or are ready to put in extra work
to catch up with our Circle 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 graph theory, invariants, colorings, geometry, strategic games, and number systems.

#### Mathematical Topics for Computer Science (grades 8-10):

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.

This will be a challenging and fast-paced class with plenty of practice and of
interesting problem-solving. Enrollment is by the results of the test,
by math circle teacher recommendation, or by qualifying math score from Kangaroo (national winner)
or AMC exams (at least 18 on AMC 8).

### Circle Format

Each circle meets once a week for an hour and a half
long session (one hour for our youngest students). A typical
session combines class discussion, individual and team problem solving,
and for younger students, hands-on exploration. The students
regularly have homework consisting of around 5 problems,
which are then discussed during next session.
Some of the classes are devoted to math competitions and
math Olympiads.

Prime Factor Math Circle is a nonprofit organization. The
goal of Prime Factor is to engage school children in the world of
extracurricular mathematics with the purpose of developing their math
knowledge, problem solving skills and creative thinking abilities. We have a
lot of plans and ideas how to grow and expand. We welcome donations and we will put
them to a good use.