Any in-class assessment/test does require you to have identification if the examiner asks you for it. Although most probably don't care, there are some who use your ID as a form of your attendance at the exam. I recall my first year Algebra tutor asking us to present our ID so he could mark the role during the class test.
Class tests can happen any time during the semester. I would say you would have at least one in-class assessment/test within the first 5 weeks.
Also, some buildings require you to have your ID since that is also an access pass, i.e. you have to scan your card on a wall panel. This is mainly for labs and some computer rooms. So if you don't have ID, make sure you know someone in that class, or get to the room early so someone can let you in (obviously, if that room requires you to scan your card).