Election Theory. NC Standard Course of Study Competency Goal 2: The learner will analyze data and apply probability concepts to solve problems. Objective.

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Presentation transcript:

Election Theory

NC Standard Course of Study Competency Goal 2: The learner will analyze data and apply probability concepts to solve problems. Objective 2.03: Model and solve problems involving fair outcomes:  Apportionment.  Election Theory.  Voting Power.  Fair Division.

Try This Take out a scrap sheet of paper that has nothing else written on it. Write down the names of the following soft drinks in the order given:  Coke  Dr. Pepper  Mountain Dew  Pepsi  7-Up

Activity (continued) Beside the name of the soft drink you like best, write 1. Beside the name of your name of your next favorite soft drink, write 2. Continue until you have ranked all five drinks. Pass your papers to the front of the row. Divide yourselves into four groups.

Activity (continued) Your groups job is to determine the first-, second-, third-, fourth- and fifth- ranked soft drink for the entire class. Only use a method that everyone in the group agrees upon. Then your spokesperson will explain to the class how you choose your winners and who your winners were.

Questions 1.Which soft drink was ranked first by the most people? Did all the groups rank the same soft drink first? 2.Repeat question 1 for the soft drink ranked second. 3.Repeat question 1 for the third ranked. 4.Repeat question 1 for the fourth ranked. 5.Repeat question 1 for the fifth ranked.

Preference Schedule A preference schedule displays choices in the order in which they are preferred. So according to this preference schedule, this individual liked B best, C second, D third and A fourth. B C D A

Preference Schedules (continued) A number may be written under a preference schedule. This number indicates the number of individuals who have that preference. This shows a preference for a group. This group contains 18 people. A B C D 8 B C D A 10

Ranking Drink Preferences Apply your group’s method for determining the class’s soft drink ranking to this set of preferences. List the first, second, third and fourth choices that your method produces in a preference schedule.