Homework (day 2): p. 29-33 2, 4, 6, 10, 12ab, 16, 18abc, 24, 26 Day 2: Voting, Preference Scheduling, Majority, Plurality, an Borda Count (Text: 1.1-1.3 & SOL: DM.8) Classwork: p. 29-33 (1,3,5, 9,11ab, 15, 17abc, 23, 25) Homework (day 2): p. 29-33 2, 4, 6, 10, 12ab, 16, 18abc, 24, 26

A Preference Ballot is a ballot in which the voters are asked to rank the candidates in order of preference. This is not the most typical style of voting. (textbook 1.1) A Linear Ballot is a ballot in which ties are not allowed. This is the preferred type of voting. (txt 1.1) A Preference Schedule is a way to organize the ballots by grouping together identical ballots. Usually placed in a table format. (txt 1.1) Voters’ preferences are Transitive, which is another way of saying “If they prefer A over B and B over C, then They prefer A over C.” (txt 1.1)

A Preference Schedule is a way to organize the ballots by grouping together identical ballots. Usually placed in a table format. (txt 1.1) https://www.youtube.com/watch?v=Vzs6BrxnDXU Ex: Number of ballots that match this preference order Number of voters 5 3 1 1st A C B 2nd D 3rd 4th

Plurality Method Voting is a voting system for elections with several candidates in which the candidate with the most first place votes wins. This is the most commonly used style of voting. (Textbook 1.2) https://www.youtube.com/watch?v=r-VmxJQFMq8

Carmin Ex: Student employees on your campus have decided to organize an effort to improve their salaries and working conditions. As a first step, a group of 33 students, calling themselves the Undergraduate Labor Council (ULC), have just had an election to choose their president. 1) Using the plurality Method who is the winner of this election? 2) What percentage of students actually voted for Cameron? Using the Plurality Method who is the winner of this election? What percentage of students actually voted for Carmin? Carmin 11 33 =33. 3%

=PLUFTGV9zclqTc4Yk95wxnCe1YkmCvXl_b Majority Rule is a voting system for elections with two candidates in which the candidate preferred by more than half the voters is the winner. (txt 1.2) https://www.youtube.com/watch?v=3wIq2xeyal8&list =PLUFTGV9zclqTc4Yk95wxnCe1YkmCvXl_b

Ex: 1) How many votes are needed for Majority? Total = 12, therefore 7 Number of voters 5 3 1 1st A C B 2nd D 3rd 4th Ex: 1) How many votes are needed for Majority? Total = 12, therefore 7 Who would win using the Plurality Method A, B, C, D? Justify. Candidate C because A = 5, B = 1, C = 6, D = 0

Borda Count is a voting method for elections with several candidates in which points are assigned to voters’ references and these points are added for each candidate to determine a winner. Sports use this method often to rank teams. (txt 1.3) https://www.youtube.com/watch?v=vfujywLdW_s

Ex: Assume ULC used the Borda Method to determine its president Ex: Assume ULC used the Borda Method to determine its president. The table provides you with the preference ballots cast in the election where 1st place earns 4 points…4th place earns 1 point. Who is the winner of the election? Ann (A), Ben (B), Carmin (C), Doreen (D) Hint: Create a new table with the Point Values # Ballots

Ann Won! Candidates 1st x 4pts 2nd x 3 pts 3rd x 2 pts 4th x 1 pt Total A 10(4) = 40 12(3) = 36 6(2) = 12 5(1) = 5 93 B 9(4) = 36 6(3) = 48 15(2)= 30 3(1) = 3 87 C 11(4) = 44 7(3)= 21 3(2) = 6 12(1) = 12 83 D 3(4) = 12 8(3) = 24 9(2) = 18 13(1) = 13 67 Ann Won!

Day 2 HW/CW answers textbook p. 29