Recent Tutoring Session Reviews
"In today's session, I worked with the student on calculus topics. We worked on problems involving properties of differential functions and continuity. He had homework exercises and a weekly check in worksheet for class that spanned different ideas about continuous functions. Our main discussion was about types of discontinuities and what happened to rational functions around vertical asymptotes. He was doing well with the material. He can compute limits very readily. He mainly needed help with properties of left and right hand limits of piecewise functions. We worked through several exercises and he was able to complete all of his homework. We finished the session by taking a look at his math team problems. We plan on discussing them when we meet again next session."
"Last night, I helped the student prepare for her precalculus exam. We began the tutoring session with practice problems, where she had to identify the horizontal, slant, and vertical asymptotes of functions. We began with this topic because she identified it as one of the more challenging topics on her test. After I helped her memorize the rules for finding horizontal asymptotes, she was able to quickly and easily find the asymptotes of any function. Then, we worked on converting functions from standard form into vertex form. We did several problems ranging in difficulty level, so that she could practice and master this topic. Afterwards, we did several problems on her practice tests, which included finding the x-intercepts and y-intercepts of quadratic functions and factoring several types of expressions. After our tutoring session, I was very confident that she would do a great job on her exam."
"Limits and the foundations of the derivative were discussed. There was an error in the website she uses to complete her homework. She has a grasp of the long method of calculating a derivative through limits. Plugging in functions and using delta X as a variable was a new concept that she struggled with, but understood in the end. Needs more practice taking the derivative using limits as delta X approaches zero."
"Met with the student for the first time to prepare for an exam she has on Friday. She was very polite, and receptive to input and feedback. He has a very strong algebra foundation, so we primarily worked on calculus. We discussed end behaviors of graphs, and how to predict them with the lead coefficient rule (thumb rule). Using constants in parenthesis to turn standard equations into quadratic standard equations. RATEY method for drawing graphs. She needs to follow up with her teacher on how to solve for roots of larger polynomial functions (specifically, question 13). We got to attempt a little bit of finding possible rational roots to use in synthetic division, but she will need to practice this more on her own. Finishing the review and re-doing the questions we worked on should be an appropriate amount of prep work to be ready for her exam."
"My first session with the student went very well. He's a very smart kid, and right off the bat we got into working with complicated functions (i.e. quartics and higher) and finding their zeros, among other things. He is in honors pre-calculus, and his teacher is instructing at a very high level -- He has actually already learned how to take derivatives, and fully understands their use in the world of graphs and functions. His only issue at the moment is mental math -- he needs a bit of work with it, and once his mental math improves he will be even better at math than he already is."
"On Monday, we worked on the PSAT math problem test. The student's biggest challenge is word problems. She is capable of figuring out all of the problems, but sometimes she convinces herself that she doesn't know how to do it. Her math skills are fine, but she needs a little bit more practice to work on problem-solving skills. We will continue to work on this."