- Probability, Counting and Combinatorics

This plan will help Mathletes to develop a strategic approach to counting the occurrences of a certain shape in a more complex figure made of multiple intersecting lines.

- Probability, Counting and Combinatorics

- Algebraic Expressions and Equations

Often the immediate reaction when Mathletes see an algebraic equation is to solve for the unknown but depending on what you are looking for it might be easier to manipulate the equation without...

- Number Theory

Mathletes will apply divisibility rules of various integers to simplify computation, better understand number composition and aid in problem solving. In the extension, Mathletes can prove why each of...

- Algebraic Expressions and Equations
- Number Theory

Video by Art of Problem Solving's Richard Rusczyk.

- Problem Solving (Misc.)

Video by Art of Problem Solving's Richard Rusczyk.

- Number Theory

Video by Art of Problem Solving's Richard Rusczyk.

- Probability, Counting and Combinatorics

Video by Art of Problem Solving's Richard Rusczyk.

- Plane Geometry
- Proportional Reasoning

Learn what Mass Points are and how to use them to solve problems involving side lengths and areas of triangles. Mass Points Part 1 (above) covers the fundamentals of Mass Points, while Mass Points...

- Algebraic Expressions and Equations
- Number Theory

Explore Modular Arithmetic by working with remainders to solve problems about very large numbers.

- Number Theory
- Problem Solving (Misc.)

Mathletes are likely most comfortable working with numbers in base 10, but there are many other number systems to explore - other integer bases, fractional bases, and even negative bases. This plan...