I would probably use the term early-admittance, but I'm not sure that a precise term matters too much.
What you will want to reference is how your DD feels about learning, what types of things she is interested in, what her academic level seems to you to be, and anything that might show that she is ready to be in a K classroom. The biggest obtacle you're likely to be hit with is the argument that she might not be socailly ready for K despite her academic abilities. You know whether this rings true or not. If you've been exposed to K children (or older) or have visited a K classroom (or higher) and can refer to how your DD seems to you to compare, talk about that. They will want specific examples.
Do you have any ability or achievement testing for your DD?
Good luck!
