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

MA19.FM.25

Use methods of weighted voting and identify issues of fairness related to weighted voting.

COS Examples

Example: determine the power of voting bodies using the Banzhaf power index

Unpacked Content

Knowledge

Students know:

  • How to determine a simple majority.

Skills

Students are able to:

  • Determine each voting body’s power based on their voting weight using the Banzhaf power index.
  • Identify situations that result in unequal distribution of power among voters.

Understanding

Students understand that:

  • Power distribution can vary in weighted-voting situations.
  • High individual voting strength may not result in a high power index.

Vocabulary

  • Weighted voting
  • Power index
  • Voting Coalition
  • Winning coalition
  • Simple majority
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