MA19.FM.25

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.

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

COS Examples

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

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