Award-Winning Test Prep & Academic Tutoring in Pleasant Grove, UT

"Today we covered vector arithmetic and polar coordinate algebra, as well as some special situations with graphs, roots, and exponentiation in the context of complex numbers. I'll send him extra material on all of these subjects. We also covered introductory trigonometry, including several basic aspects of the unit circle and the triangles that generate sine and cosine values. I introduced the student to the concept of tau = 2 * pi, which helps generate the radian measurements of the unit circle more naturally (and, he may discover later, has some interesting effects in many physics equations - I'll send him a video on this, of course). He seemed to find it interesting and potentially useful. I also discussed a significant point of philosophy in this process as the student dismissed the importance of remembering an equation. We continued moving through the entirety of unit 14. There were a couple small hang-ups where I helped him think a little more clearly about a few things, but, in general, I certainly think he would have figured everything out on his own, albeit more slowly. During the session, I also interjected with a reading of The Raven. I thought he might find it interesting to hear the poem read correctly, and I think he was torn between finding it interesting and intellectualizing away its value. This, of course, is a common challenge of increasingly deep introspection as the rational mind develops. Still, he at least acknowledged the surprising quality of its rhyme. I intend to break down the process by which Poe's sentences were formed sometime in the future in the hopes that he might learn something about its sentence structure and flow. Toward the end of our session, he agreed to email me a link to his class resources (and his login information) so that I can investigate his future material and provide him with some extra resources when we meet again."

"The student and I reviewed his latest exam. I was quite pleased with how quickly we were able to cover the concepts on the exam. We reviewed matrix algebra (addition and multiplication) and polar coordinate systems. One of the student's issues with test taking is that he leaves some questions blank, rather than attempting them at all. This results in him missing out on available partial credit. I told him in the future to at least copy down the problem if he is unsure and attempt to go through at least one step. He has a test coming up on Wednesday, and I told him to email me any additional questions he has and I will try to get back to him quickly."

"The student and I covered various integration techniques and theorems. In particular, we covered the fundamental and mean value theorems. "

"We worked on order of operations and simplifying equations. We also reviewed how to change a fraction to a decimal as well as adding and subtracting negative numbers. The student struggled with adding and subtracting negative numbers the most, and I think it would be beneficial to review this topic again in future tutoring sessions. The student was very enthusiastic and focused during the session. The student began the session by providing math work that he was unsure about. We worked through the problem he got wrong, and I gave him additional problems to work through that were similar to the schoolwork. He was able to understand the material quickly and seemed to understand his mistakes. "

"We reviewed for the student's midterm exam. Quadratic functions were the subject. We covered everything from a vocab list to example questions knowing the basic forms of the equations and how to apply each piece of information given. "

"We worked on force diagrams using friction. There were no big struggles today. The student had a good attitude and worked hard. Strategies included the use of positive and negative values to represent direction. She seems to be doing well. "

"The student has recently completed her final, and she is not sure if the class will get a chance to do corrections on the final. Just in case she may have a chance to do corrections, I asked her if she could name any parts of the final that were tough for her. The only thing she could think of was substitution. Therefore, we went over many different types of substitution problems from examples already in function form to examples in standard form. After today's session, I concluded that she understands substitution a lot better. The one thing I highly recommend her to work on is carefully writing the problem with all the positive and negative symbols in the right place as well as practicing adding and subtracting integers."

"We went over the student's prior test and reviewed how she needed to look at information in word problems. We then worked on number lines for inequality problems. The student had no problems and was very willing to go over the work. I taught her how to look at word problems and advised her to slow down on the problems. I think she did very well tonight."

"We covered the first semester review materials that the student had gotten from school. He seemed to get through the lesson quite fluidly. The review pertained to periodic table trends and calculations of moles. "