- Algebraic Expressions and Equations
- General Math

After refreshing Mathletes on the order of operations, the video will then focus on how to solve problems where an unfamiliar symbol is defined to be a new type of operations that follows given rules.

- Algebraic Expressions and Equations
- General Math

- 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...

- 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...

- 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
- Plane Geometry

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

Video by Art of Problem Solving's Richard Rusczyk.