Rules for quantum numbers are confusing but not arbitrary. They are based on wave mathmatics, and once laid out properly are symmetric and beautiful. Within four animation-clicks of the first slide of this PowerPoint Presentation, this beauty will unfold. I do not exaggerate to say, faculty members will be agape and students will say, "Why didn't you show us this before." No other presentation shows in as elegant a way the relationship between 1) n, l and ml, 2) the ordering of orbitals in hydrogen-like atoms, and 3) the ordering of orbitals in the periodic table (along with the difficulty of assigning orbital filling in transition and f-block elements).
Beauty is in every atom. Let it loose.
A student will be able to relate the quantum numbers n, l and ml to each other.
A student will be able to correctly describe the number of subshells and number of orbitals in a shell.
A student will be able to describe the orbital energies in a hydrogen-like atom.
A student will be able to order subshells in a multi-electron system and relate this to the periodic table.
A student will realize the symmetry and beauty of quantum chemistry without ever seeing the shape of one orbtal.
In the first two slides, often use the phrase "because it's a square."
This is useful for Inorganic Chemistry students as well because it will cement in their mind long lost rules of quantum numbers.