Oh wow. I don't know if I would recommend that series to someone even vaguely interested in world history, let alone in a classroom. I haven't watched it all the way though because, as a history student, I got frustrated with the first episode. Honestly just watch History of the World Part 1. It has about the same dedication to historical accuracy and integrity. Plus some killer dance numbers.

In my opinion, the series is intended to entertain a popular history audience. To me, it is very gimmicky and lacks nuance. It seems like it is trying to make history more exciting (even though it is already exciting) by adding extra "action", slow motion, CGI, and stunts. Ironically, it does a poor job including most of "us" in its narrative of history. It skips many important historical changes to focus on a select few traditional watershed moments, while leaving out crucial historiographic and scholarly disputes. The series makes the historical narrative easily digestible and cheap to produce. In short, it's junk food history...tastes good but lacks substance.

However, using the video is an interesting way to address the impossibly gargantuan scope presented by an AP World History course. We can criticize the series all we want on /r/AskHistorians, but your teacher is trying to prepare you for the AP test above all else, which means by May, you have to be able to answer a lot of obscure world history trivia questions and be able to write three coherent essays on any random thing that happened at any point in history. Of those three essays, you need to be able talk about change over time and make effective comparisons between different societies or individuals. Furthermore, I suspect that your teacher is actually trying to help you out a little bit by reducing the amount of reading you have to do. The series is far from perfect, but if you slog through it, maybe on test day you will happen to remember "Oh the Ottomans captured Constantinople and it had major implications for world trade; I'll use that as an example in my essay" or "hey I think I could compare how Christianity spread to how Islam spread using the scenes of Paul from the series." Basically AP World History---the nature of the class itself---forces teachers to throw as many facts at the students as possible in the hopes that some of them will stick. The more you read, write, dispute, disprove, criticize, and connect different moments in history using the series, in-class lectures, discussions, articles, DBQs, and /r/AskHistorians, the higher the probability is that you'll do well on the test.

You might find this post in /r/badhistory interesting. The fact that it was posted in /r/badhistory might give you some idea of what to expect.