Recent Tutoring Session Reviews
"First we went through the student's homework, which was on solving logarithmic equations and using logarithms to solve exponential equations. After that, she wanted to review graphing logarithmic equations. She struggled at first with knowing when to use logs to make a problem easier to solve. However, after going through the homework assignment she got the hang of it and was able to solve all the problems herself. She will have her first test of the semester next Friday and she said she will use the online tutorials from her class to study this week. Next Wednesday, we will review for her test. I have no concerns from this session."
"Today we introduced the topic of sequences. We discussed how sequences are functions whose range is comprised of only integers. We discussed the testing of convergence for these sequences. We also practiced going through examples utilizing these different convergence tests."
"We started in on unit conversions today. These concepts were simple, but his embossed book was not ready by our session so I had to read the problems aloud to him. This wasn't a very big problem and we accommodated it easily. He has small issues with metric conversion just because it's foreign to him. With a little practice, he'll have it though. We got through this quickly, so we moved on to the next chapter which is measuring areas and volumes. This wasn't a problem except for triangles. However, once we went over conversion factors he seemed able to do everything. We finished 2 homework assignments and got ahead of his class so he should be well prepared in the following week."
"We moved on to applications of exponents and functions with exponents, this time going over interest rates and related topics. We went over how the equation changes when the interest in compounded at certain intervals, and when it is compounded continuously. We did word problems with both types, and she understood it well."
"I reviewed a new topic that the student had covered in his Algebra 2 class. We talked about logarithms and solving logarithmic equations. I reviewed all of the identities and rules governing logarithmic equations, including e and ln. We reviewed last week's material, including exponents and exponential equations. I had him solve 10 problems, and he got 8 questions right. It is a considerable improvement, since previously, I had to guide hi through most of them, and now he is getting them right on his own."
"We covered logarithms and exponential expressions, converting one to the other. We went over homework problems on this topic. The student missed the lecture covering this. She quickly picked up how to covert logarithms to exponential expressions and vice-versa. I advised her to continue to other problems in the textbook so that she would obtain a greater comfort with these concepts."
"Today the student was preparing for a test on radicals and functions (function composition, substitution, function inverses). He was initially quite confused about function inverses and substitution, so I encouraged him to write in empty parentheses first. We worked through all of the function inverse problems in his review packet and after a while he seemed to grasp that the x and y values (inputs and outputs) were switching. Rationalization was a point of confusion; he still makes some mistakes with FOIL. The more advanced substitution used in function composition would be good for a review in a couple lessons."
"The student and I worked on log functions and the practical applications of them including half life, compound interest, and exponential graphing. We also worked on ways of solving logarithmic equations using properties of logs."
"We both simplified expressions and solved equations with roots, rational roots, and rational exponents. The student understands the rules/methods necessary for these problems and will do well so long as he's careful with the arithmetic."
"The student and I discussed problems with concepts related to evaluating integrals of trig functions, inverses of trig functions, using substitution strategies, and using the triangle method. He seemed to mostly understand the major concepts and mechanics of how to evaluate the integrals, and I was able to carefully guide him into correcting his mistakes. By the end of the session, he understood more about how to evaluate these particular integrals."
"During this session the student and I took a look at his homework and reviewed a new technique for finding volumes of solids using integration. The student seemed comfortable with the underlying concepts, only tripping on some arithmetic. The student does a lot of the work in his head. While this often isn't a problem, on occasion it is likely the source of the arithmetic errors."
"We worked on the student's homework assignment (one tailed t-distributions). The biggest struggle for the student was identifying what the questions asked (i.e. what does the parameter represent). We will work more on this next session."