The Black Alliance for Educational Opportunity is supporting the legal action in state court in Baton Rouge financially. The plaintiffs include Choice Foundation, parents and teachers in New Orleans and Baton Rouge parents.
The group is seeking a court order that the state go ahead with its contract for tests in the next school year. The plaintiffs charge that Jindal violated the state constitution when he suspended actions taken by the state board of elementary and secondary education.
Jindal, a former backer of the Common Core standards, said last month that he wants "Louisiana standards and a Louisiana test."
Eric Lewis, Louisiana director of the Black Alliance, said Jindal has left them no choice but to go to court.
"At this point, this is the only avenue that remains in moving the state forward in fully implementing Common Core," he said.
Jindal said the lawsuit is "without merit."