Yes, you need to write chess notation in a chess score sheet.
8.1.1 In the course of play each player is required to record his/her own moves and those of his/her opponent in the correct manner, move after move, as clearly and legibly as possible, in one of the following ways:
8.1.1.1 by writing in the algebraic notation (Appendix C), on the paper ‘scoresheet’ prescribed for the competition.
https://handbook.fide.com/chapter/E012023
Is it necessary to write chess notation in a chess scoresheet or can you write it in a normal notebook please I seriously need the answer tomorrow is my tournament