Activity 1: Borda Count Method (Grade Levels: 59)
Borda Count Method 
Plurality Voting 
Pairwise Comparisons 
Approval Voting 
Career Connections 
More Math Concepts
NCTM Standards:
 Number and Operation
 Data Analysis, Statistics, and Probability
 Problem Solving
 Reasoning and Proof
 Communication
 Connections
 Representation
Objectives:
 Create a formula for determining the total points for a candidate
 Use the formula to determine the winner of an election using the Borda Count method
For the Borda Count method, each candidate gets 1 point for each lastplace vote received, 2 points for every nexttolastplace vote, etc., all the way up to N points for each firstplace vote (where N is the number of candidates). The candidate with the largest point total wins the election. The Borda Count method requires a preference ballot. A preference ballot is an individual voter’s ballot in which the voter lists each candidate in order of preference from first to last.
A. The student council decided to use the Borda Count method of voting to elect their new president. One thousand five hundred students cast their preference ballots for the candidates. The results are summarized in the preference schedule below. The four candidates are: Gail, Twanda, Shawn, and Ricco.
 Number of votes received 
Place  390  360  300  450 
1st  Shawn  Gail  Gail  Ricco 
2nd  Twanda  Twanda  Twanda  Twanda 
3rd  Ricco  Ricco  Shawn  Shawn 
4th  Gail  Shawn  Ricco  Gail 
1. Write a formula that can be used to determine the total points awarded by the Borda Count method to an individual candidate.
2. Determine the total number of points Shawn is awarded in this election.
3. Determine the total number of points Gail is awarded in this election.
4. Determine the total number of points Twanda is awarded in this election.
5. Determine the total number of points Ricco is awarded in this election.
6. Who wins the election using the Borda Count method?
B. The preference schedule below represents a ranking of the four football teams in the City of Sportsville by 500 of its most avid football fans.
 Number of votes received 
Place  130  120  150  100 
1st  Grizzlies  Indians  Broncos  Jets 
2nd  Hoosiers  Broncos  Hoosiers  Grizzlies 
3rd  Broncos  Jets  Grizzlies  Hoosiers 
4th  Indians  Grizzlies  Jets  Indians 
5th  Jets  Hoosiers  Indians  Broncos 
1. What is the final ranking using the Borda Count method?
