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From Probability to Combinatorics and Number Theory

This lesson will introduce students to the study of counting techniques, known as combinatorics, and its applications to probability. The site includes links to discussions and activities related to combinatorics and how it is used to compute probabilities. The student will determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.

Weblink address (URL): 
From Probability to Combinatorics and Number Theory

Standards & Objectives

Learning objectives: 

Upon completion of this lesson, students will:

  • seen how division is used to help solve probability problems
  • used tables as data structures used to count outcomes and to compute probabilities
  • seen how trees are a type of data structure

Lesson Variations

Blooms taxonomy level: 
Understanding

Helpful Hints

Materials:

  • Access to a browser
  • pencil and paper
    • For the Racing Game with Two Dice each group of students will need:
      • two dice
      • chips or other small game pieces of different colors
      • The Racing Game Field
      • The Racing Game Tally Table
      • The Racing Game Worksheet

References

Contributors: 
Lisa Leach
Originator: 
Ayers Institute for Learning & Innovation