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Ch 7: The Mathematics of Voting Lesson Plans

About This Chapter

The Mathematics of Voting chapter of this course is designed to help you plan and teach the students in your classroom how mathematics factor in the voting process. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the mathematics of voting chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Ballots and schedules Linear ballot, preference ballots, preference schedule, transitive properties of a voter's preference, and the connection between candidate elimination and relative preferences
Tuesday Methods in elections: Part I The plurality method, majority rule, majority criterion, plurality candidate, majority candidate, Condorcet criterion, the borda count method, and the advantages and disadvantages to these methods
Wednesday Methods in elections: Part II The plurality-with-elimination method, the monotonicity criterion, the pairwise comparison method, the independence-of-irrelevant-alternatives criterion, steps for methodology implementation, and related formulas
Thursday Ranking Candidates Extended vs. recursive ranking methods
Friday Arrow's Impossibility Theorem Pareto efficiency, no dictators, and independence of irrelevant alternatives

7 Lessons in Chapter 7: The Mathematics of Voting Lesson Plans
Test your knowledge with a 30-question chapter practice test
What Are Preference Ballots and Preference Schedules?

1. What Are Preference Ballots and Preference Schedules?

Preference voting is not the most commonly used form of voting in the United States. Even so, it is very interesting and has its place in our society. This lesson reviews preference ballots and schedules.

The Plurality Method in Elections

2. The Plurality Method in Elections

The plurality method of voting is the most common form of voting in the U.S. The basic principle is that the candidate with the most votes wins; however, there really is more to it than that.

The Borda Count Method in Elections

3. The Borda Count Method in Elections

Have you ever wondered how a winner is determined when you must rank the choices in a voting scenario? This lesson covers the Borda count method of determining a winner in preferential elections.

The Plurality-with-Elimination Election Method

4. The Plurality-with-Elimination Election Method

When a run-off is needed in an election, do all the voters have to return to the polls? In the plurality with elimination election method, the run-off can happen instantly. This lesson explains how.

The Pairwise Comparison Method in Elections

5. The Pairwise Comparison Method in Elections

The pairwise comparison method in elections is a method of comparing candidates to each other in head-to-head contests. This lesson reviews the pairwise comparison method.

Ranking Candidates: Recursive & Extended Ranking Methods

6. Ranking Candidates: Recursive & Extended Ranking Methods

If you have ever wondered who would come in second place in an election (or third or fourth), this lesson will give you two ways - the recursive and extended methods - to determine just that information.

Arrow's Impossibility Theorem & Its Use in Voting

7. Arrow's Impossibility Theorem & Its Use in Voting

This lesson reviews Arrow's Impossibility Theorem, which states that there is no preferential voting method that adheres to reasonable fairness principles. An example is used to illustrate his theorem.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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