Recent Tutoring Session Reviews
"The student and I went over properties of logarithms. He only needed review on the material. We also went over physics which he had questions on. He had questions about how to apply kinetic formulas to certain questions. After showing him a couple of examples on how to approach these problems, he felt more confident and was able to perform better."
"The student and I met today to go over her most recent sections that she has done in class, which are chapter 4 (part 1 and 2). She is getting into converting radians/degrees and degrees/seconds/minutes as well as some triangle trigonometry using sin/cos/tan and csc/sec/cot with right triangles, also special triangles (30, 60, 45) and starting inverses as well as unit circle. She seems to like this section and it isn't too difficult for now. We reviewed some concepts that she hadn't covered that are necessary for these sections. She was able to complete the entire first assignment and most of the second."
"This was my first session with the student this year. She is really bright at math. We began by going over her most recent test. There are lots of topics to review, so we decided instead to focus on what she's doing now - rational roots, synthetic division, asymptotes, graphing. She was easily able to pick up after a few example problems."
"We reviewed the student's quizzes and tests to check her understanding, especially as it relates to graphs. We also spent time talking about how one works to prove trigonometric identities and the importance of proper binomial expansion."
"In this session we reviewed for the student's test on exponential and logarithmic functions. He had a good handle on this material."
"For this lesson, the student and I worked through more homework assignments in pre-calc. We worked through things such as odd/even functions, finding the vertex (max/min) of functions, factoring polynomials via both long and synthetic division, and also worked on multiplicity of zeroes for a given function. We also worked through a quadratic regression formula to estimate global population in the next 40 years."
"First, the student is improving in his class. He scored an A and B on his last 2 quizzes - a big improvement from the previous ones. He is continuing his lesson on the unit circle. He had a homework assignment that required him to solve radian values using the trig functions. We practiced being about to complete the unit circle from memory. I then had him complete one completely on his own. This method really seemed to stick with him as he was able to answer almost all the questions on the homework with no problem. He is very capable of doing well. He has some concepts down solid (like dividing fractions, converting between radians/degrees, and understanding triangles)."
"The student and I went through polynomial division. We walked through the synthetic and long versions of polynomial division. We also walked through some of the remainder theorems that accompany these methods. I believe she has a good grasp of synthetic division, and has a good idea of long division. We will continue to work on these concepts."
"This session, we worked through the homework assignment solving triangles (i.e. determining unknown sides and triangles). The tools for this are law of sines and law of cosines. The student seemed to be comfortable with both formulas and applying them, so the session went well!"
"We reviewed rational functions and asymptotes, emphasizing the use of long or synthetic division to find slant asymptotes. We then used parent functions and general forms to cover translations and scaling of graphs. I used a couple website pages to illustrate and guide our work on asymptotic behavior. Logarithms as the inverse of exponential functions were covered, especially how powers of ten correspond to log base 10. From there we went over other number bases and their logarithmic inverses. Lastly we touched on the natural exponent and natural logarithm, and explored the golden ratio. The student's mathematical reasoning skills seem to be getting stronger as evident in her discussion of limit concepts, and description of non-decimal based number systems. She did very well on her last quiz."
"We spent our session looking ahead towards the next chapter of her book, which covers trigonometry. We spent most of the time talking about unit circles and triangles. We also talked about the parent functions f(x)=sinx and f(x)=cosx. We scheduled again for next week in preparation for another exam."
"The student is understanding this current unit of her class just fine. She had to graph polynomials by finding the zeros and then examining the behavior within the relevant intervals. This is all familiar to her just now the focus is on polynomials and will soon be any rational function."