This math unit centers on the application and mastery of probability, combinatorics, and binomial notation. Beginning with foundational skills, students first practice calculating basic probabilities using the binomial coefficient (nCm notation), such as evaluating simple division and multiplication involving "n choose m". The unit expands complexity by introducing problems that involve dividing or multiplying several combination expressions. As students advance, they practice probability counting involving tasks like selecting cards or letters from a set, reinforcing the application of factorial equations and permutations. These problems steadily guide learners to articulate their computational results in various forms, including nCm notation and simplified fractions. Moving towards more contextual application, the unit incorporates real-world inspired setups where probabilities of selecting specific items like cards or letters from sets are calculated. The latter portions focus on explicitly calculating probabilities for non-ordered selections from a deck of cards, cementing an understanding of probability through repeated practice with increasingly challenging scenarios. This scaffolding approach solidifies combinatorial principles and their application in diverse probability computations.
Skills you will learn include:
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