You really come off way more simplistic that life's realities Grinner. I've learned to take your down home light-hearted, uncomplicated approach to, well, whatever and whenever you post where ever you post it with the proverbial grain of salt, but some people need a more objective, perhaps even SUBJECTIVE response, you know.
I don't know about THAT particular school, but the vast majority of schools with which I work have obtained the rights to perform whatever play, musical or even choral/dance performance - in public and on stage. So, to advise Nick to "tell the music teacher to stay away from protected material" is a bit over the top, especially if Nick has no input regarding the school's curriculum or sponsored activities.
It doesn't matter if Nick wants to do this for free, as a favor, or for money. The problem and realities of the situation, as noted by Comp, fall in with the recording, distribution and/or sales of a video production of the event which is likely NOT provided for in any performance releases obtained by the school, or instructor.
In MANY instances the schools with which I work have also obtained either the rights to videotape and distribute copies to the teacher and/or students for "educational" purposes, or even outright production and sales. If they have this release, believe me, they are aware. If they do not, well, they're more than likely aware of that as well
On another slope in practically ALL cases of which I've read or heard, not only in the arena of copyright infringement, but other legal arenas as well, it is noted that ignorance of the law is not a defense,
Really, however, to cavalierly suggest that Nick can TELL the teacher anything would be as preposterous and presumptuous as you were in posting it.