The justices refused, without comment, to hear the appeal of Kansas parents and students who object on religious grounds to the Next Generation Science Standards.
The justices take up a debate that includes seven relatively recent Education Department officials whose service in acting roles may have been on shaky ground.
The court rejects a law that bars "upbraiding" teachers, administrators, and bus drivers; it also decides between two "irreconcilable" laws on guns at school.
In a fight between two companies, the U.S. Supreme Court considered the copyright status of design elements of cheerleader outfits and the cost implications for schools and families.
The justices have tough questions for both sides about whether a family must exhaust administrative remedies before suing for damages over the denial of a service dog at school.
The justices granted the appeal of a Virginia school district on whether schools must allow transgender students to use the restrooms corresponding to their gender identity.
A federal district judge in Texas clarifies his nationwide injunction against the Obama administration's guidance, while a federal magistrate in Illinois backs transgender students.
Greenberg, who was in his 20s when he helped argue cases that reached the U.S. Supreme Court under the umbrella of Brown v. Board, was the last living lawyer involved in the case.
The justices declined cases involving a school's removal of banners by a business sponsor and a battle over college athletic eligibility rules.
The U.S. Supreme Court took up an appeal about disparaging names, part of a debate that includes American Indian names and mascots at high schools.