to give lessons; to lecture; to teach
As it's almost time to teach, all teachers left the meeting-place
He lectures twice a week
to go on to the next form; to move up to the next form/grade; to be admitted to the next year/class; to be allowed into the next year / class
This boy cannot move up unless he works harder
To move up to the tenth grade
to moralize; to sermonize; to lecture; to preachify
This soothsayer likes to sermonize about human behaviour
sanctimonious; sententious; didactic; holier-than-thou