SAFFORD, Ariz.  Savana Redding still remembers the clothes she had on  black stretch pants with butterfly patches and a pink T-shirt  the day school officials here forced her to strip six years ago. She was 13 and in eighth grade.

An assistant principal, enforcing the school’s antidrug policies, suspected her of having brought prescription-strength ibuprofen pills to school. One of the pills is as strong as two Advils.

The search by two female school employees was methodical and humiliating, Ms. Redding said. After she had stripped to her underwear, “they asked me to pull out my bra and move it from side to side,” she said. “They made me open my legs and pull out my underwear.”

Ms. Redding, an honors student, had no pills. But she had a furious mother and a lawyer, and now her case has reached the Supreme Court, which will hear arguments on April 21.