In case you aren't aware, there's an election in a few months :)
Many of my students are deeply, emotionally involved in the political process. Since we're located near the District, part of this fascination is probably because of sheer proximity, but I do have quite a few students with parents who are politicians or who work with politicians and public policy. Many gifted students also have a keen sense of fairness, an interest in leadership, or a personal connection with a particular issue, so they tend to pay more attention to politics than the average student.
This one's for you!
With this link, you can explore both the history and the math behind the Electoral College, and then work with a computer model and an imaginary country to see whether you can devise a system that would be more fair: