Do you need permission to do a dance shoot?
Whether or not you need permission to do a dance shoot depends entirely on the location and purpose. Shooting for private, casual purposes rather than commercial purposes often does not require a permit. If you're shooting in a public space, especially if it's in a way that will impact other people, you may indeed need permission from your city. Since these rules vary from place to place, you should check with your local film commission. Or, better yet, rent a dance shoot venue on Peerspace so you know you'll be fully covered to shoot for any purpose you desire.