PRACTICE PLANS

Image
Header Image

PRACTICE PLANS

Practice is on us this week! Use these plans to prepare your students to compete or to review math skills.

These plans cover a variety of math topics and skills, and are designed to cover 45-60 minutes of practice time.
 

A special thank you to Taren Long, our 2020-2021 DoD STEM Ambassador!

Taren created many of the awesome Practice Plans below, based on her experience as longtime MATHCOUNTS coach.

 

What's in Each Practice Plan
Image
sun
Warm-Up

We start with a short problem set so Mathletes can practice related skills that will be expanded upon throughout the practice plan.

Image
puzzle pieces
The Problems

Next, a video introduces a common type of competition problem or a helpful problem-solving strategy with 2-3 example problems.

Image
puzzle
Piece It Together

Next, Mathletes solve a set of related problems to build on the strategies and skills they learned in the Warm-Up and problems video.

Image
raised hands
Extension

We'll end with a related activity, puzzle or game to give Mathletes a fun opportunity to apply their problem-solving skills creatively!

Please select an option
Summary:

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 problem.

Difficulty: Difficult

Summary:

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.

Difficulty: Difficult

Summary:

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 in various expressions and use the identity to find the value.

Difficulty: Medium

Summary:

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 equivalent version of the formula: d = rt, r = d/t or t = d/r.

Difficulty: Medium

Summary:

Students 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 these rules work!

Difficulty: Difficult

Summary:

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

Difficulty: Medium