Roleplaying school with a preschooler

My daughter says “let’s play pretend that you’re at school!”

Okay.

“First we take your temperature. Ok, that looks good. How are you feeling, do you feel sick? Any coughs or shortness of breath?"

I feel great, actually!

"Good. Okay, go in and wash your hands! Have a fun time!”

This isn't how I remember school.