Denominational means belonging to, or tied to, one particular religious denomination — one named church group, such as Baptist, Catholic, or Presbyterian. A denominational school is run by a church group and often teaches from that group’s faith. A denominational newspaper or hospital works the same way: it has a church home. The word you will hear even more is the opposite, non-denominational: a service, school, or church that is not tied to one group, so more kinds of family can walk in. This is church language and school language, not playground language. Though actually, denomination is also an English money word (coins of different denominations), but denominational almost always points at religion, not at banknotes.