MA19.FM.23

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

MA19.FM.23

Apply a variety of methods for determining a winner using a preferential ballot voting system, including plurality, majority, run-off with majority, sequential run-off with majority, Borda count, pairwise comparison, Condorcet, and approval voting.

Unpacked Content

Knowledge

Students know:

  • Basic voting methods such as single choice ballots.

Skills

Students are able to:

  • Interpret data from ranked-choice voting ballots or summarized in preference schedules.
  • Use data to determine an election winner using a variety of methods.
  • Compare and contrast the methods and their results.

Understanding

Students understand that:

  • Various election methods can be used to achieve a group decision from the preferences of the individuals of the group.

Vocabulary

  • Ranked choice voting or preferential ballot voting
  • Plurality winner
  • Majority winner
  • Runoff method
  • Simple majority
  • Sequential runoff (instant runoff) method
  • Borda count
  • Condorcet method
  • Approval voting

Aligned Learning Resources

Racing Around
Rational and Radical Exponents
Rational Exponents and Solving Exponential Equations
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