Dreaming that you forget something important can represent:
A fear of losing control or a fear of failure
Feeling that you have too much on your mind and are afraid you'll forget something
How important it is to you to remember the thing you forgot in the dream, and your subconscious is just giving you a reminder (for example, dreaming that you forgot next week's final exam that is very important to you)
Possible dream symbol meanings in the dream dictionary are suggested. No "standard meanings" exist because dream meaning is subjective and specific to the dreamer.