The quarter used to decide what they would do with Sam is a Pennsylvania quarter. In future clips/episodes, they use a standard/eagle quarter.
The word "pill" is inaccurate. The blood pressure medicine is, obviously, in tablet form.
From 06:29 -a "learning opportunity" can come from more than one source.
From 08:19 -Keating mandates that each student shall present a unique defense argument. This seems to be an impossible demand. Since the class numbers well over 100 students (see time-stamp 03:54) and there is some doubt she would accept excuses such as UFO abductions and CIA mind control drugs, among others.
It is incredible that the assistant was able to find an aspirin tablet that looked like the blood pressure tablets prescribed to Kaufman.
Being able to skip out on exams doesn't reflect well on the curriculum offered at good old Middleton Law School.
From 12:08 -a police officer who doesn't think that four kids carrying a lumpy rug out of a darkened office, all the while acting as suspicious as is humanly possible, warrants any kind of investigation.
From 09:07 -when the "top student" is able to skip out on any exam there should then be a new "top student" to take their place.
When the students are discussing what to do at the beginning, they suggest, alternately, that murder prosecution is impossible without either the body or the murder weapon. In fact, a murder prosecution can go forward without one or the other or, in fact, without both, so long as there is sufficient alternative evidence to prove that the victim is in fact dead and that the defendant did in fact kill them.
When Professor Keating is trying to discuss mens rea with Wes, we are led to believe, by her reaction when someone else says it, that the mens rea is "to kill." Mens rea, Latin for "guilty mind," can only, properly, be one of four things: negligence, recklessness, knowledge, or intent. There are a few nuances available (reckless with depraved indifference to the value of human life, for example), but "to kill" is not a mens rea. The more appropriate answer (given the facts presented) is "intent" or, perhaps, "intent to kill."