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