How do choreographers remember their choreography moves?
Do they write it down on a piece of paper?
Is there a score sheet for choreography moves like in music?
Nope, Most choreographers, including myself, retain our routines choreography moves and pieces.

You could write your choreography moves down on a piece of papers, but you would rather remember your choreography moves, trust me.

Your choreography moves are the most essential to you, and to your career, because there choreography moves that you create yourself will develop, and sculpt your own original style.