Video is probably a bit of a bloated approach to fulfill this request. Both in filesize and, more importantly, effort to review it.

We gotta keep the teacher's perspective in mind. They're gonna have a hard time reviewing video footage of a whole class.

I'd suggest setting up an Etherpad server and sharing a link with the teacher. It allows tracking of changes and authorship and has just enough Rich-Text-capabilities to be suitable for an assignment in English class, without too much distraction.