Lesson Plan: Combination Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use combination properties to solve problems and use combination to count possible outcomes.

Objectives

Students will be able to

  • determine the difference between permutations and combinations, that is, that order is disregarded for a combination,
  • recall that 𝐶=𝑛𝑛𝑛𝑘=𝑃𝑘,
  • evaluate simple expressions involving combinations,
  • use combinations to solve counting problems (e.g., How many teams of 4 can be selected from a group of 20?),
  • find the value of an unknown in equations involving combinations, for example, 𝑛 or 𝑘,
  • link the fundamental counting principle and combinations.

Prerequisites

Students should already be familiar with

  • the fundamental counting principle,
  • permutations.

Exclusions

Students will not cover

  • more difficult counting problems (e.g., In how many ways can you place 3 red cards and 2 black cards such that there are always at least 2 consecutive red cards?).

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