#### Introduction

An efficient tour through all areas of beyond-curricular math (aligned with MATHCOUNTS and AMC 8). Teaches topics in Algebra, Geometry, Combinatorics, Number Theory, and Probability. Designed to inspire students to love challenging math.

If you haven't yet seen our revolutionary teaching method, , to **shatter your expectations** of what online math looks like.

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### Who Is This Course For?

Are you taking any math class from 6th Grade Math through Algebra, and in the top 10% of your class? Have you never taken any professional math competition classes at levels above Algebra? If you answered Yes to both, then this class is for you. It is the best thing you can do to transform your potential.

Diagnostic Tests:

### Course Structure

This course contains 20 LIVE 1-hour video sessions, of which 16 are lessons, and 4 are exam review sessions that discuss the course's 4 practice 1-hour exams (homework). Each class is co-taught by 2 of our Stars. In total, there are over 150 problems.

Each lesson contains several problems which are meant to be unfamiliar to you, so that they inspire you to invent your own solutions. In our LIVE video class format, you propose your ideas, and we brainstorm together with you to construct a variety of alternative solutions using the class's own ideas. This actively involves you in discovering mathematics.

Each practice exam contains 20 problems, of which half are of average difficulty, and the other half are very challenging.

### Reviews

This course gave me the best understanding of middle school math than I ever had!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.

Although I have been pretty good at math, I had not been enthusiastic about learning competition math until I took this course. Previously, competition math appeared to me to be incoherent and therefore not beautiful. There were always some kids who were willing to have more training and were so much better than me. Since I didn't like to take tutoring for competition math, I saw little point to pursue competition math. On the other hand, school math is too easy for me. This course shows me math is beautiful and interesting, and piques my interest in working on challenging problems.

I like how you condense it so understanding it is easy. The fact that it has many different solutions are also cool with different hidden concepts.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

I really liked the explanations, and although I got all of them correct, I learned lots of new things! This course is really interesting

This course gave me the best understanding of middle school math than I ever had!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.

Although I have been pretty good at math, I had not been enthusiastic about learning competition math until I took this course. Previously, competition math appeared to me to be incoherent and therefore not beautiful. There were always some kids who were willing to have more training and were so much better than me. Since I didn't like to take tutoring for competition math, I saw little point to pursue competition math. On the other hand, school math is too easy for me. This course shows me math is beautiful and interesting, and piques my interest in working on challenging problems.

I like how you condense it so understanding it is easy. The fact that it has many different solutions are also cool with different hidden concepts.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

I really liked the explanations, and although I got all of them correct, I learned lots of new things! This course is really interesting

This course gave me the best understanding of middle school math than I ever had!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.

Although I have been pretty good at math, I had not been enthusiastic about learning competition math until I took this course. Previously, competition math appeared to me to be incoherent and therefore not beautiful. There were always some kids who were willing to have more training and were so much better than me. Since I didn't like to take tutoring for competition math, I saw little point to pursue competition math. On the other hand, school math is too easy for me. This course shows me math is beautiful and interesting, and piques my interest in working on challenging problems.

I like how you condense it so understanding it is easy. The fact that it has many different solutions are also cool with different hidden concepts.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

I really liked the explanations, and although I got all of them correct, I learned lots of new things! This course is really interesting

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

This course was clear and amazing and easy to understand

These daily challenges are very good for helping you think better.

### Syllabus

**Day 1**

Geometry: areas of plane figures; congruent triangles; Pythagorean Theorem

**Day 2**

Algebra; Geometry; Number Theory: area and volume of 3-D solids; prime numbers; prime factorization; systems of equations; transforming equations; square roots

**Day 3**

Combinatorics: permutations; exclusion; complementary counting

**Day 4**

Probability: counting; permutations; symmetry

**Day 5**

Logic; Algebra; Statistics: equations in one variable; arithmetic series; the substitution method; average; word problems

**Day 6**

Geometry: volume; similar figures; ratio and proportion; proportional lengths

**Day 7**

Number Theory: least common multiple; prime numbers; unique factorization

**Day 8**

Combinatorics: combinations; binomial coefficient identities; the multiplication principle

**Day 9**

Algebra: rate-time-distance problems; problem-solving using diagrams

**Day 10**

Geometry: circumference of a circle; irrational numbers; the distributive property; using equations to solve problems

**Day 11**

Probability: percents with applications; decimals; conditional probability; sets; total probability; equations in one variable

**Day 12**

Number Theory: word problems; parity; number of factors; prime factorization

**Day 13**

Geometry: angles of a polygon; sum of angles of a polygon; properties of parallel lines; interior and exterior angles;

**Day 14**

Algebra: reciprocals; sequences and series; factoring integers; least common denominator

**Day 15**

Combinatorics: counting; permutations; problem-solving using diagrams; linear recurrence relations; Fibonacci sequences

**Day 16**

Number Theory: Integers modulo m; square numbers; number sense techniques; variables

### Enroll

We have LIVE and self-paced versions of this course. We strongly recommend the LIVE format, as it has been carefully designed to be so engaging that students fall in love with challenge. There has never been anything like it before. All times are listed in your local time zone.

For students who want to learn a subject sooner than a LIVE course matches their schedule, our self-paced version contains all of Prof. Loh's teaching on the subject (without live teaching). This is available on our self-paced course platform, where thousands of students have learned over the past 3 years.