- 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

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

This plan builds on what Mathletes already know about ratios to introduce the definition of probability as a ratio of desired outcomes to total outcomes. Mathletes will then practice calculating the...

- Probability, Counting and Combinatorics

Explore combinatorics by looking at a common type of MATHCOUNTS counting problem – counting paths between two points. End with an extension that connects counting paths to another type of combinatoric...

- 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...

- Probability, Counting and Combinatorics

This plan will introduce Mathletes to The Fundamental Counting Principle – a faster method to determining the total number of possible outcomes of an event without listing them all out!

- 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...

- Logic
- Number Theory

Addition and subtraction may sound easy for middle schoolers, but what if you are missing some digits? What if you want to maximize or minimize a result? This plan focuses on some common types of...

- Algebraic Expressions and Equations
- Plane Geometry

Mathletes will explore interior angles of various polygons and understand how to find the number of sides a polygon has using information about its interior angles.

- Measurement
- Plane Geometry
- Proportional Reasoning

Understanding and applying ratios can be used in a variety of problems, from finding a missing measurement to determining scale between similar figures. Mathletes will solve problems using ratios...