Graphs, Stories, and Games.
Two stories provide scenarios for games that student can play on graphs. Each story and game helps students explore different properties of graphs. Playing these games opens the door to two important concepts: anyone can invent a game to play on a graph, and a game can change considerably depending on the graph that it is played on.
Old Friends, New Game The characters from the previous stories are reintroduced. They face a problem and come up with a solution that might work. Perhaps students can think of a better one as they act it out.
Three for the Money: The Degree/Diameter Problem is an unsolved problem in mathematics that students can understand and work on. The Hungarian mathematician Paul Erdos has offered a cash prize to the first person who can solve it.
Other Games on Graphs are games that are quite different than the ones from the scenarios of Graphs, Stories, and Games. They can help students increase the range of possibility for the games that they can invent on graphs. They also provide interesting problems to solve.