If the teacher was some Gordon Ramsay type, it would be pretty funny to have Asami and Korra mocking him behind his back while Bolin gets a knack for baking or something and then Bolin gets into his prissy mood and channels Ramsay when he is out with Korra. Bolin will deny it of course lol

I never considered the kids leaving but if they left with Katara (for like a week?) it could give Tenzin and Lin some time to clean up the house, maybe while doing so, Lin makes sure there's some kind of place to remember Pema (I still think I wanna have her bend some kind of statue to honor the woman) in the house or on the island. I was gonna suggest them going into the spirit world to come across Pema, but it feels too soon for that.