School board districts are for voting and representation purposes. They differ from attendance area zones, which direct where students go to school. Check out the board district map. The Fayette County clerk's office maintains an online searchable database of voter information. Plug in your home address, then scroll to the bottom of the results page: Find my district & school board member. 

Assignments: Schools and other programs are listed here in the board district where the building is located. (The members also share responsibilities for a second nearby high school.)