American History Achievement Act - Amends the National Assessment of Educational Progress Authorization Act (NAEPAA) to direct the Commissioner for Education Statistics to: (1) give a priority to conducting national assessments of student achievement in history at least once every four years in grades 4, 8, and 12; and (2) conduct trial State academic assessments of student achievement in U.S. history in grades 8 and 12 in not less than ten States representing geographically diverse regions of the United States.
Directs the National Assessment of Educational Progress governing board to select the States to participate in, and authorizes appropriations for, such trial State assessments in U.S. history.