Former Robertson High School teacher Jay Quintana was arrested shortly before noon Tuesday.
Quintana is accused of having sex with a student, Police Chief Gary Gold said. He is charged with 14 counts of criminal sexual penetration and one count of criminal sexual contact, Gold said.
Quintana is being held in lieu of a $100,000 bond, the chief said.
The allegations against Quintana emerged in January. The district referred the matter to the Las Vegas Police Department.
Quintana had been a teacher at Robertson since the 1990s. He was also a golf coach.