The federal school system

According to ABC news,

• The president also wants to give states $250 million to require that the 12th grade National Assessment of Educational Progress be administered in every state in reading and math every two years, just as it is in those subjects in grades four and eight. That would produce the first-ever state results for high school seniors on this national test, helping policy-makers evaluate their school standards.

I thought the federal government only possesses those powers and responsibilities specifically given it by the People, via the Constitution, specifically meant to be those that cannot be performed by individuals or by the States.