Here's an experience I had. I took over a high-school class for a teacher for a few weeks. At the end of that period there was a test. My goal was for every student in that class to get an A on the test. This was a rather troublesome class. They were supposed to be poor students. I remember one of the girls in the class had a 17 average and her friend had a 22. They sat next to each other and claimed they were "no good at math".
It's amazing what you can do in a week to boost a teen's confidence and how much that translates in a desire to do well.
Well, as I desired, every student in the class got an A. When the teacher returned she insisted that the students must have cheated and made them retake the test. In the retake there were something like 17 A's and 3 B's. Pretty good and obviously the students knew the material at or pretty close to an A level. Maybe the extra few weeks allowed some of the last minute cramming to be forgotten or maybe it was students in a pissed off mood. Maybe there was a little luck in ALL A's (probably) but the point remains. This same situation has been reported by teachers before and I remember watching a movie about one of them.
Here's the difficulty. If a teacher receives the material they are supposed to teach the students. A good teacher can teach them all well enough to receive A's. The school administration will go nuts though claiming that is impossible. But the fact of the matter is that the material is so simple that the right teacher CAN teach it well enough for every student to understand it at an A level. What they are missing is that they set the bar and they set it to low for good teachers.
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