Coffee bags
At Defcon a few years ago I saw a vendor selling faraday bags to put phones in, so I made one myself. Aluminum foil does not work. BUT, the steel bags coffee comes in does if you use 2 or three. Tuck them in each other, put that in a nice cloth bag (or not) and fold the top once - phone won't ring.
So when I leave IT job for the weekend to go have a smoke,,,, I'm not tracked there. maybe some other reasons to, but - it's a can do to stop the tracking if you want while not in use. No need for fancy lead boxes.
And they can't track my speeding with the phone :)