Recent Tutoring Session Reviews
"The student did well today! We went over what she's learning in her class, which is complex numbers. We also went over everything else she's learned so far. She has a test coming up tomorrow, which I'm excited for her to take! I think she'll do well, and it'll boost her grade. We'll be meeting again on Saturday to do some more work!"
"We covered trig substitutions with two worked through examples this session. We focused on walking through how to do integrals involving trig substitution and the 3 separate cases with which you can. While working through the problems, we went over trig Identities as well as derivatives and integrals of trig functions. We also had to use u-substitution. We determined at the end that reviewing trig identities as well as trig derivatives/integrals would be really helpful. Overall, this was a productive session with a determined student."
"The student has started a new chapter on exponential equations, in which the variable is the exponent. She made tables with the x and y values, plotted the points, and drew the graphs. We also covered transformations, mostly translations, of the parent function. She knows the difference between increasing and decreasing exponential functions. She was also given graphs of exponential functions, and we needed to find the equations. This was more difficult to determine, although she seems to have a good handle on this material now."
"The student and I discussed the problem of finding an area under a curve. I explained how we can use rectangles of height f(xi) and width delta x and sum them together using a series of index i to get the total area. Before we were able to do this, I did a quick review of summation notation. We picked a function and approximated the area under the curve using 2 selection methods: left-handed sums and right-handed sums. At the end, I hinted at the definition of the integral."
"We went over some math content in preparation for the student's quiz on Wednesday. This included proportions, percentages, and their various applications. In addition, we spent some time going over his physics homework, which involved a basic understanding of circuits and magnetic fields."
"I gave the student a diagnostic pre-test to assess his abilities so far. He has most of the basic arithmetic concepts learned; he just needs to brush up on them. We also reviewed a homework assignment on slope-intercept form and reading and analyzing coordinate grids. He seemed to be very apt to learn and eager to improve his grades. I promised to bring extra review material on the topics covered today for our next session this Thursday."