Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.6

Use multiple representations and methods for counting objects and developing more efficient counting techniques. Note: Representations and methods may include tree diagrams, lists, manipulatives, overcounting methods, recursive patterns, and explicit formulas.

Unpacked Content

Knowledge

Students know:

  • Tree diagrams can be used to systematically list all possibilities for a given set of constraints.

Skills

Students are able to:

  • List all possible outcomes for a given set of constraints

Understanding

Students understand that:

  • Tree diagrams and other systematic methods can be used to count objects but may not be the most efficient method when counting large quantities.
  • Recursive and explicit formulas can be developed from examining patterns in tree diagrams and systematic lists.

Vocabulary

  • Tree diagram
  • Recursive pattern
  • Explicit formula
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