Recent Tutoring Session Reviews
"The student and I covered rational exponents, multiplying variables with exponents, and raising variables with exponents to higher powers. We also began to cover negative exponents."
"We conducted a review of last session's material, more factoring, differences of two squares, diff of two cubes, sum of two cubes, and long division using variables. I gave the student some homework for practice."
"The student and I continued to work on problems out of her assessment test practice book, covering a general mix of types of math problems. These problems are on the advanced side of things. I think it would be good to reinforce these practice problems with lessons that go over fundamental concepts."
"The student has a test tomorrow, so we went through the exam study guide today. She was very well versed on the majority of the problems, and needed only nudges in the right direction for many of them. There were, however, two topics on which she needed significant help: complex rational fractions and extraneous solutions. I presented two solution methods for simplifying complex rational fractions, and she had a clear preference for the second method. After practicing it on the study guide's two questions on the topic, I made up two more for her to solve. By the fourth problem, she had mastered the solution process. The other concept, extraneous solutions, seemed like a relatively new topic for her, so I started with the basics by explaining what they are, and how to know when we have one in a given problem. There was only one question which had an extraneous solution in the study guide, so I made up another problem for her to solve and to identify the extraneous solution. By the end of our session, I believe the student has reached a level of mastery that will enable her to easily earn an "A" on tomorrow's test. We plan to meet one or two more times to prepare her for the final exam next Wednesday."
"We focused on his math work, which continued a bit with quadratics from the week before, but also included some factoring. He is having a little bit of trouble, but he is diligent and will work until he gets it. I'll see him on the 23rd."
"The student and I spent about half of our time reviewing the material that he is learning in class (box and whisker plots) and the other half reviewing for the SOL. We reviewed what all of the different parts of the box and whisker plots mean (range, interquartile range, median, etc.) and then did some practice problems. For the SOL, we really focused on the Pythagorean Theorem, which he said he hadn't seen before. There were at least 3 questions about it over a 15-question set. He should do some more review of this over the next week."