Why is offering draw not recorded but giving a check recorded? In recording a game, one typically does not record offering draws (if yes, how and is it required?) while one does indicate that a particular move gives a check by using + (or ++ for double checks).

I am wondering if this is logical. In fact, it is not difficult to tell whether a move gives a check (or a double check) or not but once a draw offer is not recorded, it is virtually impossible to know it by reading the moves.
Both recording checks and draw offers are personal preference, and neither is required in your notation.

I actually do record both checks as "+" or "++", and draw offers as "(d)". I know I am not the only one to note draw offers as I have friends, who do the same. I also record times.

The purpose of the notation is so you, or the arbiter, can play back over the game, and neither notation addition is really relevant for that purpose. I just like to know for my own edification if I go back later.

FIDE rules actually reference draw offers.


  8.1b The scoresheet shall be used only for recording the moves, the times of the clocks, offers of a draw, matters relating to a claim and
  other relevant data.