The teaching administration at Brentwood High School is largely considered the best in the state, if not of of the best in the nation. They have a high standard they need to achieve to teach at such a school, and thus, their teaching is high quality, they are well educated, and they have genuine caring and affection towards the student. They handle everything with a professional appeal while still maintaining a friendly and unique personality. Take into account this is despite the hardships and horrors of teaching angsty and rebellious high school students.
One phrase to accurately describe them is that they keep their cool. They have to put up with a lot and have more on the side that the student never sees or appreciates like a hobby, a school club, or a family. However, despite this, they are only human, and some teachers may have flaws here and there that are exacerbated in this high school environment. Thus I could think of a few counterexamples for each of the good traits listed in the statements above, a few "bad apples" that ruin the bunch.