The part where each member of the study group at the UN competition says "I farted" one at a time is, according to Jeff, similar to the film Spartacus.
It is also oddly similar to an episode of Ned's Declassified School Survival Guide, which also centers around school. In the episode, "Embarrassment", Suzy Crabgrass farts in history class and her boyfriend, Ned Bigby, covers for her by saying "I am Fartacus!" (Their history teacher dressed up as Spartacus.) After giving a speech, all of the other students say "I am Fartacus" one by one.