I fly is right. it is all there, ready to be taught - and learned.
When I learned radio many years ago elsewhere, we had to do a separate R/T test in funny sort of confessional box. The examiner was in the other side with a headset connected through to the person under test, who was given a fictious route to fly with every type of airspace imaginable. The examiner would throw all sorts of things that you had to respond to correctly. You had to do it right or you just did not get the licence.
Here it seems quite acceptable to vary what is in the book, as and when you feel like it and if you don't know quite the right phraseology, it doesn't really matter. Then if you want to pass a message about what you want the misses to cook for dinner tonight, that's fine too. Some of the chit chat in our GAAP's is quite amazing at times. I cannot imagine quite why some pilots and controllers imagine we are interested in their private 'arrangements' to that extent!