Recent Tutoring Session Reviews
"In this lesson, the student started her homework packet by going over factoring when the lead coefficient is not 1, using the reverse FOIL methods. She was able to factor numerous polynomials then using this method (both with and without lead coefficient 1). We then focused heavily on simplifying algebraic expressions, including simplifying radicals, exponents, and complex numbers. The session concluded with us reviewing converting between logarithmic and exponential forms and using the definition of logarithms to solve problems. We skipped over numerous problems within the individual sections for her to complete while leaving a few sections open for the next session."
"This was our first meeting. I gave the student some problems from 2nd grade to test his ability. They varied in topic -- addition, subtraction, multiplication, place value, word problems, money and time. He did great with all of them. We then moved on to 4 digit subtraction that involved borrowing and 2 digit by 1 digit and 3 digit by 1 digit multiplication. We will continue to work with those topics next time."
"During this session, we briefly reviewed series convergence tests, power series building, determining intervals of convergence for power series, Taylor and Maclaurin series, conics, parametric equations, and polar equations as these are the topics that are covered on the final exam. The student seemed to understand all concepts and did not struggle greatly with any topic. The student showed a great understanding and a great attitude towards all material covered. During this session, I advised her to focus on doing practice problems to prepare for the exam because she seemed to be solid on the concepts. I did not leave her with extra practice because the book she had contained many practice problems that were very similar to the ones that may be on the final. I saw some quiz grades and they showed great improvement. This session was great because she understood all the concepts coming in which allowed us to spend time on practice and extra review."
"We went over trigonometry, and the student did some of the problems from his packet. We covered what happens to functions when you change their notations, such as changing f(x) to f(x+2). We also went over limits and how limits work when you have boundaries or asymptotes. Finally, we went over the limit definition of a derivative and figured out what it represents."
"We covered complex parabola graphing problems, applying knowledge of standard and vertex form parabolas and graphing rules to finding equations for new graphs. We also went through a few proofs and some different style parabolas problems. The student shows a lot of confidence with proofs, especially when I do not help her, which is excellent. She is also very confident with parabolas and just needs some help thinking about how to approach these more complex problems, although at least one she solved entirely on her own. She is very competent at graphing parabolas. These two aspects are over half of the test, so we just need to keep working on factoring, and I think that will be all she needs to master this test."
"The student's test was the next day, so he was a little nervous, but overall, he felt confident. His understanding of all the concepts is much improved, and he is much better with trig problems. Sometimes he makes simple mistakes, but he just needs to relax and think the problem through."