Idea from: TESL-L Costas Gabrielatos, Dept. of Linguistics & MEL, Lancaster University, UK
For an idea on how to teach phrasal verbs categorised by
preposition/particle (and treated in context) have a look at Calvin and Hobbes!
http://www.ucomics.com/calvinandhobbes/1992/12/07/
For more advanced (or intellectually mature) learners, a possible
data-driven approach is to ask them, "What is the meaning of 'up' in each
phrasal verb?" Once the categories are negotiated/established, learners can
add other phrasal verbs with 'up' that they know and/or they can find in
other texts that you give them. I would think that the next logical step
would be phrasal verbs with 'down'.