There is going to be a lot of work to get done and a lot of people to keep track of- staff, youth, parents, etc. The interviewer wants to know what ways you have that will keep you organized. There are many different ways people keep organized to make sure work gets done on time, so there is not really a wrong answer here unless you tell the interviewer that you aren't organized.

Talk about ways that you've been organized in the past. A few different ways people stay organized are keeping lists, bullet points, an agenda, shared documents among staff, etc. Know which ways work for you and be prepared to talk about them.