"This session we began again with vocabulary words and this time went for about 2/3 of a page, leaving just under that amount to complete next time before we would be done. We then went on to the other math sections that we had not yet completed, and this time finished them. The final topics on math included similar shapes, and computing area resulting from the values found using similar shapes. One problem involved computing the area of a hexagon, which required us to find the value of one side of the hexagon and then piece out the other area components of the shape. At the end, the sums of all of the areas were added up, leading us to the final answer.
We also discussed imaginary numbers. This topic is very advanced for an 8th grade math level, but the practice problem that had arisen that he answered incorrectly during the first practice test he went over was essentially knowing the vocabulary words: real numbers, imaginary numbers, and complex numbers. He will be able to correctly identify the number types on his test. We also reviewed what counted as a whole number, an integer, an positive integers.
We also talked about ratio problems in this class. I gave him an example problem which involved jelly beans.
I tested his understanding of this by another question involving the student body population. He used the process of writing down the ratios then multiplying them together in a manner which cancelled out terms in order to get the answer. We finished this idea of ratios by re-writing some ratios as portions of their wholes. I explained that this concept is usually tested by saying: which is the following is a possible number of total classmates? The answer here would have to be a multiple of 5. He understood this quickly.
With all of the math topics now reviewed, we agreed that he should start taking practice exams. I stated we should take portions of these practice tests in our sessions. We ended the class by having him do a verbal section involving synonyms and sentence completion. As we didn't have the answers to these practice tests, I went over the answers as he reviewed his vocabulary words. We graded the practice section and ended the class."