There is no right or wrong way to brief a case. During your first classes, you should have lots of content in your brief b/c you don't know what the profs are looking for (if you can remember all the specifics in the case, then brief what you need). For example, in Civ Pro you will almost always need to know how the case got into what court (since this what civ pro is all about). Some profs LOVE facts, others want you to be well versed in all dissents and concurrences (especially con law). Eventually the briefs will get shorter, with info that is actually useful.