Captain Picard is giving the science fair winners a tour of the ship when all kinds of things hit the fan. On top of that, Keiko is going into labor with Molly.

A departure from the normal format, we have a bunch of related stories at once. Bev and Geordi are trapped in a radioactive cargo bay. Riker and Data are trying to get to engineering without losing their heads. Troi is in command of the bridge with little experience. Picard and the kids are stuck in a turbolift shaft and Worf is helping Keiko give birth.

I summarize the plot and point out and explain all the references so you don’t have to