Our first batch of hard cider has been bubbling merrily away in the closet since Oct 27. Monday, Nov 3, (one week later) I pulled the jug out to have a look at it.
The scummy froth on top has dispersed, and the movements of the air lock had slowed considerably. It is now bobbing about 3-4 times per minute.

The bottom of the jug is full of this sediment, which, so I read, is the dead bodies of spent yeast, otherwise known as “the lees.”

Since everything seemed to be going quite nicely, and the fluid levels seemed in no danger of rising, I sterilized the funnel again, and removed the air lock long enough to top up the jug. I also took the opportunity to draw some out with a sterilized 10cc medicine syringe and taste it. It was light, sweet, and fizzy, and did not taste very strong.
Then I replaced the air lock.

After watching for a few minutes it began bubbling briskly, but not aggressively. There is a constant stream of tiny bubbles gently floating to the surface from all over the dark interior.
Now we wait until this process stops, before drawing it off into secondary fermentation.