Cory's mispronouncing puberty as "poo-berty" was not originally in the script. Ben Savage hates saying the word puberty, so he pronounced it differently during filming. Anthony Tyler Quinn's reaction is real.
This episode is the first episode Cory, Shawn, and Topanga are in 10th grade. Life Lessons (Production No. B664) took place during finals the previous year and this episode (Production No. B665) takes place during midterms a year later. Although it is never stated as a time jump, the creators wanted to age up the actors who were now 16-17 years old.
There is a family picture in the living room that features Lily Gibson, who played Morgan in previous seasons before being replaced by Lindsay Ridgeway. In this episode, a small plant is obscuring Lily's image in the picture.