For anyone else who's wondering: the real number seems to be around $638 billion# (public primary and secondary education). The more you know. For fun I did a small Fermi estimate and got $400 billion, such a useful tool.
Correct, federal education spending is more like $141 billion each year.
http://febp.newamerica.net/background-analysis/education-fed...
I think you need to check your numbers? $1 billion is nowhere near what the United States spends on education each year.