Academy school means: A kind of state-funded school in England that is independent of direct control by local government and has a curriculum specialism.. There is no real cause for parental concern; it is descriptive vocabulary rather than risky behaviour. It is an education-system term, so usage is institutional and routine. If your teen uses it, context will usually make the intent clear. A short, curious question about where they heard it is usually all that is needed to know whether to follow up.