I'm not sure what you're asking. If you're asking whether Dad's going to be required to pay his share of work-related child care, the answer's easy. Yes, but at the limited rates set by DHR. You can see the current rates here:
http://www.divorceinfo.com/alchildcarerates.htm.
If you're asking whether the judge will get creative and do something else to help you, probably not.
The judge won't treat private school tuition for a school-aged child as child care cost.