Discrete Math Apportionment Project

Resources and Information

This project is due on Tuesday, March 5, 2013 before midnight.  You must do your own work and may not share any parts of this project with others.  There will be a late penalty of 5 points per day for each school day the project is late, up to a maximum penalty of 30 points, unless an extension has been worked out in advance. Any project turned in more than 6 school days late will receive a maximum of 70 if all parts of the project are completed accurately.  When your are finished with your project, log in to your Google Drive, click on "shared with me" at the left and put the YOUR_NAME_Apportionment_Project.pdf file in your folder. 
  • Remember, tables are our friends! 
  • Your project should be submitted as a PDF file and titled YOUR_NAME_Apportionment_Project.pdf
  • Some helpful videos can be found at the following link:  Helpful Videos
  • The project rubric can be found by clicking on the following link:  Project Rubric

Part 1: Distributing Flights for United Pacific Airlines


United Pacific, a start-up airline company, has created the new TrainPlane! They will start with sixty-five flights per month on three routes. Those routes are:  Chicago to New York, Chicago to Los Angeles, and Chicago to Miami.  They anticipate 4010 passengers flying from Chicago to New York, 3150 flying from Chicago to Los Angeles, and 1840 flying from Chicago to Miami.  Apportion the flights to the routes based on the number of anticipated passengers using the Hamilton Method.  Do not round percentage values when making calculations.  Make sure to show all work and write a conclusion statement discussing the final apportionment.  Round to three decimal places for all values when showing work. 


Part 2: Apportioning the Major League Baseball Competition Committee



Major League Baseball is adding one representative to its competition committee. Currently, the American League has 600 members and 8 representatives and the National League has 500 members and 7 representatives.  Decide who should get the additional representative using the apportionment criterion.  Round all average constituencies to the nearest whole number and relative unfairness values to 3 decimal places. Make sure to show all work and write a conclusion statement discussing your findings.


Part 3: Helping Out Good Ol' Uncle Sam


The U.S. House of Representatives has decided to increase its membership by one.  You will be assigned one of five 10-state regions to analyze to determine which state in that region should receive the extra representative.  Visit 2010 US Census Apportionment Data and find the population and number of representatives for each of the states that are in your region.  Round the population to the nearest tenth of a million (100,000).  For example, a population of 16,725,415 would be rounded to 16.7 million. Use the Huntington-Hill number to make your determination. Round the Huntington-Hil number to 3 decimal places. Make sure to show all work including state names, populations, number of representatives, and Huntington-Hill numbers.  Write a conclusion statement discussing your findings.  

Regions of the United States


When you have completed your project, make sure to double check your project with the rubric.  Make sure that all required information is present.  Save your Microsoft Word document as a PDF by hovering your mouse over "Save As" and then selecting "PDF."  The name of your project file should be in the format YOUR_NAME_Apportionment_Project.pdf.  Once your PDF is created and named correctly, log in to your Google Drive, click on "shared with me" at the left, and upload the YOUR_NAME_Apportionment_Project.pdf file in your folder.