Quantum information theory is a challenging subject to teach, particularly to undergraduates. This is because many of the most interesting directions in the subject involve prerequisites that are either postponed until late in an undergraduate program, or not covered at all. The following paper consists of half introduction and half projects. The projects explore topics that, while accessible to undergrads, reach to the frontiers of research at a conceptual level. I designed these projects for LSU professor Jimmie Lawson, who used them in his Spring 2013 quantum information theory class.