have students write the weak basis in terms of the free state basis as an extension of our 2-level system knowledge
have them write these as time evolved states under the free space Hamiltonian
Simplify the energy eigenvalues of the free space Hamiltonian so the time expansion can be written more simply
have students calculate the probability for finding a muon starting with one flavor and ending with another
Neutrino Oscillations are an interesting and important topic in modern research, and gives an opportunity to apply the 2-state system to an exciting application. Super-K is fascinating to discuss, and is a good way to capture students future research attention as well.
Note this image was taken from: http://atlasobscura.com/place/super-kamiokande