About This Chapter
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
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the Contemporary Math: Help and Review course
- Mathematical Reasoning & Problem-Solving: Help and Review
- How to Solve Word Problems: Help and Review
- Statistics Overview: Help and Review
- Probability Overview: Help and Review
- Understanding Discrete Probability Distributions: Help and Review
- The Normal Curve & Continuous Probability Distributions: Help and Review
- The Mathematics of Apportionment: Help and Review
- Graph Theory: Help and Review
- Operations with Basic Algebraic Expressions
- Conics in Algebra
- Algebraic Concepts of Groups & Sets
- Notation, Sequences & Series
- Matrices and Determinants in Algebra
- Fractions, Decimals & Mixed Numbers
- Approaches to Math Word Problems
- Performing Basic Arithmetic
- Operations with Monomials and Polynomials
- Number Line & the Coordinate Graph