There's a county map here breaking down the school districts, and a pdf for each district showing detailed maps:
Spartanburg Area Transportation Study*>*School District DemographicsSpartanburg Area Transportation Study
As a rough breakdown:
District 1 - Northwest corner: Landrum, Campobello, Inman (2 high schools, Landrum and Chapman)
District 2 - Northeast corner: Chesnee and Boiling Springs (Chesnee, Boiling Springs)
District 3 - Eastern edge: Pacolet and Cowpens (Broome)
District 4 - Southern edge: Woodruff (Woodruff)
District 5 - Western edge: Lyman, Duncan and Wellford (Byrnes)
District 6 - West Central: city of Spartanburg, Roebuck and Pauline (Dorman)
District 7 - East Central: city of Spartanburg (Spartanburg)