- Sequences, Series and Patterns

In this practice plan, Mathletes will recognize visual patterns and practice defining them numerically in order to find the number of elements in the pattern after a large number of repetitions.

- Sequences, Series and Patterns

- Algebraic Expressions and Equations

An important formula to know, the difference of squares identity is derived geometrically in the video for this practice plan. Mathletes will then try to recognize the difference of squares structure...

- Algebraic Expressions and Equations
- Plane Geometry

Mathletes will become familiar with properties of 45-45-90 and 30-60-90 triangles. In this plan, the relationships between the sides of these two special right triangles will be derived. Then...

- Number Theory

Calculating the least common multiple is something many Mathletes are asked to do, but in this plan they will use their understanding of the least common multiple to stretch themselves to solve more...

- Algebraic Expressions and Equations
- General Math
- Problem Solving (Misc.)

Using the commutative, associative and distributive properties, Mathletes will arrange arithmetic problems in a different order that allows them to be solved more readily.

- Algebraic Expressions and Equations
- General Math

Explore the formula d = rt by starting with unit conversion problems. Mathletes will solve for distance, rate and time by paying attention to the units given in the problem and using the appropriate...

- Probability, Counting and Combinatorics

Video by Art of Problem Solving's Richard Rusczyk.

- Algebraic Expressions and Equations
- Problem Solving (Misc.)

Video by Art of Problem Solving's Richard Rusczyk.

- Sequences, Series and Patterns
- Statistics and Data

Video by Art of Problem Solving's Richard Rusczyk.

- Algebraic Expressions and Equations

Video by Art of Problem Solving's Richard Rusczyk.