Unlike in surgery, your role on the anesthesia clerkship is to actively participate in procedures. Anesthesiologists at Sinai love teaching and want students to be as hands on as possible. This includes:
Setting up the room for your resident in the morning: No single thing will make your resident appreciate you more than if you do this. They will be more invested in teaching you for the rest of the day, and will let you do more procedures.
Do pre-op evaluations on all your patients, unless expressly asked not to by your resident or attending.
While in the OR *always have your gloves on so you can jump in to help when asked to. Your gloved hands should also be visible at all times (i.e. do not fold your hands behind your back).
With a few exceptions, most attendings will allow (and encourage) medical students do any procedure they ask to do. Always be enthusiastic about learning a new procedure when the opportunity presents itself.
During down time, ask lots of discussion questions. A list of good questions to ask can be found here.
Ask your resident to teach you out to give sign out in the PACU.
Do quick post op checks on your patient 2 hours after their surgery.
When in doubt about where you need to be, go to your patient. You patients will be nervous in the pre-op period, and just talking to them will make them feel significantly better. It will also improve your rapport with them.