If you're struggling to help your students discover the many meanings of adverbs, take a peek at this article and handout from Jennifer.
From her site:
I think mostly, mainly, and really have a high degree of flexibility compared to other adverbs. But instead of confusing students with teacher jargon like “epistemic stance meaning” and “adverbials of extent,” I suggest we let them explore the multiple meanings of a given adverb through use. I offer my Multiple Meanings_handout as a way to guide students’ explorations.