Rebuilding America's Schools Act - Amends the Internal Revenue Code, with respect to tax-exempt bond funding for educational facilities, to: (1) reinstate the national qualified school construction bond limitation amount for calendar years after 2013, (2) make permanent the qualified zone academy bond (QZAB) limitation amount, (3) permit private entities to waive the 10% matching requirement for QZABs, and (4) permit QZAB proceeds to be used for constructing a public school facility in which such an academy is established.