Recent Tutoring Session Reviews
"We took our time working through solving exponential and logarithmic equations. I reminded her of the properties of exponents and logs that allow us to solve the equations, and the inverse and one-to-one properties that allows for such use. After working several problems she really got the hang of it. She got a 93% on her most recent quiz."
"We specifically covered topics that will be on her test (Law of Sines, Law of Cosines, vectors, and DeMoivre's Theorem). After a brief overview of the topics, we did some problems from her chapter test which included specific word problems. She understands the concepts pretty well, but just needs a bit more practice applying those concepts to word problems. Overall, the session was excellent."
"We pressed further into the applications of trigonomic functions and the unit circle, as the student informed me that he wanted to finish his homework assignments for the thanksgiving break before they were due. Therefore, we actually got ahead of his classwork, which helped him to understand the unit circle better, so I took this to be a good sign. He was able to solve abstract conceptual problems and simplify trig/inverse trig functions using the unit circle, which shows me that he is ready for unguided practice over the break with this unit."
"The student and I met to go over new material that she learned in class (graphs of tan, sec, cot, csc). These are a little more confusing than the sin and cos graphs but we went through each of the parts (asymptotes, periods, shifts, translations). She was able to finish her homework easily, though a few parts (shrink/expand by a factor of...) were tricky due to flipping "b". The student thinks she needs more practice with cos and sin because she didn't think she did very well on the quiz. We will try to work on graphing these in the style of her quiz next session if there is time."
"The student and I focused on logs. We covered all of the log rules including the definition. We did a number of simplification and solving problems. We also covered a lecture on population growth (growth, decay, half life, etc.) We used logs to solve these problems and checked our units carefully. She understands logs really well."
"We went over finding solutions to trigonometric equations. At first, the student was a little lost but after a couple of problems, she was able to solve them with minimal assistance, which is great if she will be quizzed or tested on the matter. She did not have any quizzes or tests to go over. Toward the end of the lesson, we went over sum and difference formulas of trigonometric functions since she was absent for the lesson. She got the hang of it very quickly, as it is a fairly easy topic in trigonometry."
"We continued discussing how to graph complex polynomials. Today, we focused on functions of e and its characteristics. Then, we talked about how to construct a polynomial functions using particular criteria given by his teacher. The student is doing well. He understands multiplicity, end behavior, intercepts and asymptotes. At this point, I feel he just needs to keep practicing, which will help him internalize the different concepts. I have no concerns from this session."
"We worked some problems from the student's homework, involving solving triangles. She understands the material well. I left her some of the homework that was similar to what we worked together, and we skipped ahead so I could show her upcoming material as well."
"The student and I went extensively over trigonometry: the identities, how to formulate the unit circle, how sine, cos, tan, cosecant, secant, and cotangent relate to each other. We also went over the inverses, how to use different formulas: sum and difference, law of sines."
"The student and I reviewed aspects of upcoming test. In addition we went through the understanding and memorizing components of the formulas that will be utilized on the test. We devise testing strategies to nullify testing anxiety and make his testing process more efficient. I also introduced calculator functions to ease multi-step calculations. Student was very confident and ready for testing"
"The student and I reviewed the process of analyzing functions through use of vertical and horizontal asymptotes, calculation of intercepts, odd/even functions, and end behavior. Also addressed word problems and how to set up optimization and direct inverse variation questions. Covered mathematical vocabulary including the following synonyms: x-intercept, root, and zero of a function."
"The student and I looked at some quiz corrections tonight. She was able to catch many of her mistakes on her own, but some required more intervention on my part. We completed the corrections, but did not have time to address new material; we will get to that Sunday evening."