Welcome to P.S. 368 The William Lynch School! P.S. 368 is a community-based choice school located in Hamilton Heights on 147th Street and Amsterdam Avenue. We offer UPK 3K-Fifth Grade. Our school is committed to providing our students with a top quality progressive academic education, which includes plenty of movement for growing bodies with a full time dance teacher and a PE teacher. P.S. 368 students take music classes in all grades and even the parents get to join in on Fridays for our school-wide sing-along.