Recent Tutoring Session Reviews
"Today we worked through review problems regarding derivatives to help prepare the student for his test on Monday. He has a good grasp of the basic derivative rules (power, product, quotient, and chain). He just has a little trouble figuring out how to employ multiple rules within a single problem. We were able to go through several problems that did employ multiple derivative rules, which helped him see how to use the rules together and in what order (dependent upon the specific problem). By the end of our session, I felt like he had a good grasp of utilizing the derivative rules, and he was able to see where some errors he could potentially make were. We were also able to see, by working through problems, that he has a tendency to try and cancel terms when he cannot due to rushing a problem. I reiterated that he cannot cancel a term unless it is included in all terms of the answer (i.e. pull out a common term from an addition or subtraction polynomial and then cancel it with the same term in the denominator). His biggest thing is he needs to slow down and check his work. He has a clear understanding of the concepts and is doing well with the problems when he takes his time. I told him to work through the remaining review problems that we did not get to and make his note card he is allowed in his exam."
"We covered linear approximation, correlation between derivative and slope, hyperbolic functions, relative mins/maxes, positive/negative derivatives, mean value theorem, concavity and the second derivative, and the second derivative test, and we began to talk about curve sketching. I told the student to do her practice skills test and any problems assigned to her by her teacher, and at our next meetup we would review."
"Today we covered sketching graphs. We worked the most on basic algebra, and I left her with the hw assignments she had."
"At today's session, I gave the student a sheet consisting of the order of operations of about 20 problems and told her to work on the first 6 problems to see how much she had remembered. She had remembered the concepts and the meaning behind the term PEMDAS, which was great, so I told her to continue with the rest of the problems on the sheet. When done, we went over the entire sheet of 20 problems. She got them all right. She showed me her math test that she had taken previously, which she scored an 85 on. I told her that I was very proud of her and that she is improving in her math skills."
"The student's teacher wrote that the class has been learning to round to the nearest thousand and will be moving on to rounding to any digit in multi-digit numbers. We worked on rounding to the nearest ten. He had some trouble with identifying the two tens a number was between and the concept of rounding. We tried several different ways to help him visualize numbers: on a vertical number line, on a hill and finally in a hundreds chart. It seemed like he was beginning to understand how to round by the end of the lesson but will benefit from more practice. I'm going to share some resources with him via email including rounding rules, a rounding chart, and sample problems."
"We reviewed for the student's upcoming test on derivatives, optimization, and related rates. We also looked at the derivatives of inverse functions."