Recent Tutoring Session Reviews
"Today the student and I prepared for an upcoming test by reviewing sections 8.1 to 8.6 of her text book. These sections covered solving for systems of two equations using the substitution and addition methods and also introduced using the digit and coin notation. I stressed to her the big picture of solving the system of equations is that your solutions represent the point of intersection for two lines. She has a solid grasp on the algebra concepts involved, however, and was able to apply the ideas to problem sets presenting real life examples. She was also able to grasp the digit and coin notation as well as when it is appropriate to use it."
"Today, the student and I reviewed patterns, counting principles, and logic problems. We came up with a pretty consistent pattern for solving these sorts of problems: 4+5+6+7...+99+100+101. He and I also worked on some Spanish homework. We briefly reviewed the present perfect tense, the subjunctive tense, and the past tense. He will need to continue to review all of the tenses and their conjugations."
"Today we reviewed some more for the student's AP test. We went over topics that he wanted to review, such as integration by parts, inverse functions, volume integration, and other calculus topics. He is doing well, we meet again on Tuesday to finish preparing for his exam."
"I advised the student on her homework on the area of circles and sectors. She understood it pretty thoroughly. After that we looked at a test she got back on radicals and exponents. She is much better overall."
"The student and I worked on mostly rearranging and rewriting hyperbola equations in standards form, as well as graphing and labeling hyperbola. Once he practices concepts a few times, he generally gets how to do the problems and is comfortable. We also worked on solving log equations, with logs on one and both sides. He also finished up piece wise graphs. We were able to get several sheets done, and only one or two sessions should be needed to get done with the rest."
"We covered parametric and polar curves and how to find their area, arc length, and surface area. The hardest part of doing this is remembering the different equations and simplifying complicated integrals, which sometimes involves using even more trig substitution. We also reviewed strategies for trig substitutions and general formulas to remember, so reviewing those and practicing with them would be helpful."
"Today we went over finding the end behavior of polynomials. He learned that polynomials have characteristic end behavior that can be approximated by looking at the equation. He needed help with the first few questions, but he quickly learned how to solve the problems on his own. He didn't struggle with anything we went over today."
"During this session the student and I continued discussing practice problems from her review packet. The most difficult problems regarded particle motion on curves. It seems as though the student finds the material a little dry. It may be beneficial for her to take a quick look at the history and development of calculus. Learning a bit about players that actually discovered these topics (as well as their quirks) might make the subject a bit more human and spark some curiosity."
"Today we continued reviewing for the student's AP exam this week. We reviewed trigonometric integrals, trigonometric substitution, reduction formulas, and briefly discussed solids and surface area of revolution."
"The student has a pretty good handle on manipulating fractions now! It was great to see her complete her homework with such accuracy. Today was our last session for a few weeks, so I tried to make sure she was pretty solid on fractions before figuring out what our next steps would be. After some experimenting, I found that she was pretty shaky on decimals and percentages, so I think we'll pick up working on that next time we get together."
"Last session before the AP test. Considering Polar Coordinates were the only thing she was troubled by, I believe she will do well. As such, we went over a couple Polar problems involving changes in notation and typically thinking outside the box by seeing how the function worked to deconstruct it into what it needed to be."
"We went over another homework assignment that deals with trinomials - mostly factoring, completing the square, and using the quadratic formula. I gave the student a practice Algebra assessment test to take home, which we will go over next time."