The (few) scenes that took place at school were filmed in Stuyvesant High School (https://en.wikipedia.org/wiki/Stuyvesant_High_School https://en.wikipedia.org/

The (few) scenes that took place at school were filmed in Stuyvesant High School (https://en.wikipedia.org/wiki/Stuyvesant_High_School https://en.wikipedia.org/wiki/Stuyvesant_High_School) which I attended. It always felt very appropriate - Stuy is a specialized math and science school. At any rate, I can confirm that the "pool on the roof" myth is indeed alive and well. Upperclassmen used to try and sell "pool keys" to incoming students for $10 each. Absurd as that was, there was a thriving market for escalator keys - to turn on or off the many escalators in the 10-story building - so it wasn't that far-fetched.