Calc 1 in college is a common weed-out class.
My Chemistry for Engineers class was in a large classroom that was under construction.
Needless to say, I went for MIS instead of CS/EE. I ended up taking many CS classes, so it worked out well.
On a side note, teaching is really difficult. Knowledge of the subject is the minor skill. My parents were teachers and I considered it in college but didn't have the patience.
If someone passes your entrance tests then in most cases if they fail either you failed to develop the ability that you decided they had, or your entrance test was wrong.
The UK military realised this a while ago and describing any activity as being 'weed-out' is a big no-no.