Mathematics

This track is both for math lovers and those who think they are just not a “math person”. We introduce math from a completely different angle than it’s usually done at schools. As a problem solving tool, as a language, as a tool to become better at anything that you want to do. Science, engineering, design, architecture, animation, art. Math is everywhere and it’s a lot friendlier than you might think.

Track path

1. School Math vs Real Math

Understanding what math is

We all learn math in school. However, the math we learn in school is a very small part of mathematics. We’ll discuss how math is so much more than just doing calculations.

Areas of mathematics

Math is an incredibly rich field that touches many other fields, like Physics, Chemistry and Engineering. We’ll explore the full map of math.

2. How to think like a Mathematician

Understanding the problem

Understanding a problem before attempting to solve it is the first step. What is the unknown? What data are you provided? Is the problem solvable? We’re going to learn some very effective strategies to solve any problem.

Devising a plan

Have you seen a similar problem before? Do you know a related problem? Is the problem a collection of smaller problems you can solve more easily? Let’s make a plan.

Carrying out the plan

Now it’s time to attack the problems using the tools in our arsenal. For each step making sure we are doing it correctly. Can we prove that our solution is correct?

3. Introductory Math

Pre Algebra

A thorough exploration of the basics of arithmetic, including fractions, exponents and decimals. Will include basic number theory and algebra.

Intro to Algebra

Basic concepts in algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, factoring quadratics, complex numbers, completing the square and the quadratic formula.

Intro to Counting and Probability

Fundamentals of counting and probability, multiplication, permutations, combinations, Pascal’s triangle, probability, combinatorial identities, and the Binomial Theorem.

Intro to Number Theory

Fundamental principles of number theory, including primes and composites, divisors, and multiples, divisibility, remainders, modular arithmetic, and number bases.

Intro to Geometry

Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more.

4. Intermediate Math and beyond

Algebra, Statistics and Probability, Calculus and more

We’ll cover all the math that is usually covered in an advanced high school curriculum + some university level math.

Tools we use

These are the tools we use.

Paper & Pencil

Good old paper and pencil is all you need to do math. If you want to get fancy you can use a pen and notepad.

Calculator

Using a calculator is completely fine and encouraged. As you’ll see though, a calculator won’t always help you as much as you think.

Art of Problem Solving Textbooks

In this track, we’ll be using the Art of Problem Solving textbooks. Why? Because they create the best math curriculum and textbooks that we have found.

Method Behind the Madness

Learning by discovery

Every topic that we learn in mathematics was once unknown to mankind. It’s thanks to the effort of thousands of mathematicians that we have algebra, calculus, statistics and everything else. And all of these fields in math came to be because mathematicians wanted to solve interesting problems. Unfortunately, the spirit of math is not alive in most schools today. Students are given theory to absorb and memorize and asked to solve exercises that are variations of the textbook examples. Math is about discovery. We believe teaching math is allowing the students to discover things by themselves. If students are presented with well designed problems, they will make the right connections in their heads. That is much more powerful than any lecture or example, where someone else does it for them. And best of all, they will truly understand what they are doing and remember it.