Of course the need of a teacher to teach the teachers what to teach is part of what I'm looking for in our discussion.
Without getting too far astray, I'd be interested to hear what you make of "to represent them in matters related to God, to offer gifts and sacrifices for sins." in this same chapter.
He was writing to the Hebrews and speaking of the High Priest sacrificial system. He was showing them that rather than their old system which only provided a temporary covering, that we have a High Priest in Jesus who after having made one Sacrifice for sin declared the work to be done and sat down at the right hand of the Father.