Copyright

Ch 7: The Mathematics of Voting: Help and Review

About This Chapter

The Mathematics of Voting chapter of this Contemporary Math: Help & Review course is the simplest way to master the math of voting. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure you learn the essentials of how math applies to voting.

Who's It For?

Anyone who needs help learning or mastering voting math material will benefit from the lessons in this chapter. There is no faster or easier way to learn the math of voting. Among those who would benefit are:

  • Students who have fallen behind in understanding how mathematics applies to voting
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about voting mathematics
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How It Works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the mathematics of voting chapter exam.

Why It Works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the math of voting chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any math question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students Will Review:

This chapter helps students review the concepts in a voting math unit of a standard contemporary math course. Topics covered include:

  • How to use preference ballots to create and interpret a preference schedule
  • What it means that a voter's preferences are transitive
  • The plurality method and how it's applied
  • How to implement the Borda count, plurality-with-elimination and pairwise comparison methods
  • Using recursive and extended methods to rank candidates
  • Arrows' impossibility theorem

8 Lessons in Chapter 7: The Mathematics of Voting: Help and Review
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.

Voting Age History

8. Voting Age History

The voting age in America is set at 18, but how was this decision made? The history of the voting age reveals a deep debate about federal authority dating back to the drafting of the US Constitution. We'll explore this history and see how the debate changed over time.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support