"This session began by having the kids take a practice math section while I went through and graded all of their full length practice tests. These practice tests were overall more difficult than the material put out by the placement exam company. As such, it included topics that were not going to be on the test. For that reason, when we went through and reviewed the math section, we covered material that would be on the test and didn't cover the SAT level difficulty.
These topics included namely: the Pythagorean theorem, squares, and square roots. These are kind of new topics for these kids and their most common mistake is thinking that three squared is nine, or that the square of a number is twice itself instead of itself times itself. The problems which involved these square computations were questions which involved calculating the area of a circle. Another topic that the kids had difficulty with was knowing how to plug in numbers into the equation. If they were going to plug in the radius into the area equation A = (pi)(r)^2 then would often forget to square the r, or think that they did it already by plugging it in. I countered this tendency by urging them that when they ever plug in anything to simple replace the number with parenthesis and leave all of the other parts of the equation the same and write the value they are plugging in inside the parenthesis. This way, they could concentrate about plugging in a number without having to try to do that and compute what the result is at the same time.
At the end of this session I assigned another math section for homework in order to try and cement more of the ideas that we went over today. I also assigned 10 minutes worth of studying vocabulary words. This was a fine session."