If you know someone who has the full version of Adobe Acrobat (not just the reader, but the one you pay for), there's a "form" tool where you can put in "fields" wherever you want on the pdf document and then save it that way. I don't know why schools don't do this because it's so ridiculously easy if you have the full version.
If someone has the full version and can put the fields into the document and save it, then YES the new document can then be opened, filled out, and printed using just the reader, but the catch is you can't save the info you filled in without having the full version of Acrobat.
The nice part about this is that you can then circulate the document with the empty fields in it (nothing illegal about it if the person who made the document paid for their version of Acrobat, as far as I know) and everyone can fill in their own info and print it and save a lot of time.
Assuming legality isn't an issue, perhaps someone could be persuaded (for a small fee) to insert form fields for you guys...