UP:MA19.FM.7

Vocabulary

  • Fundamental counting principle
  • Independent events
  • Dependent events
  • Tree diagram
  • Branches
  • Node

Knowledge

Students know:

  • How to construct a tree diagram.

Skills

Students are able to:

  • Count the number of events when given a variety of constraints/parameters when the Fundamental Counting Principle can be applied.

Understanding

Students understand that:

  • The Fundamental Counting Principle can be applied in contexts where an ordered list of events occur and there are a ways for the first event to occur, b ways for the second event to occur so the number of ways of the ordered sequence of events occuring is axb.

Body

  1. Develop and use the Fundamental Counting Principle for counting independent and dependent events. a. Use various counting models (including tree diagrams and lists) to identify the distinguishing factors of a context in which the Fundamental Counting Principle can be applied.
    Example: Apply the Fundamental Counting Principle in a context that can be represented by a tree diagram in which there are the same number of branches from each node at each level of the tree.
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