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COUNTING SHAPES IN A COMPLEX FIGURE

  • 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.

RATIOS & SIMPLE PROBABILITY

  • 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...

COUNTING PATHS ALONG A GRID

  • 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...

DIFFERENCE OF SQUARES

  • 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...

LEAST COMMON MULTIPLE

  • 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...

THE FUNDAMENTAL COUNTING PRINCIPLE

  • 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!