Recent Tutoring Session Reviews
"The student had started reviewing for her test over integration, which will be on Monday; today she needed me to help with some of the more difficult problems which had stumped her, including a velocity application and some of the lesser-practiced concepts like the Mean Value Theorem. She said my explanations helped greatly, and based on her work today, I think she is in good shape for the test."
"Worked on understanding the form of the derivative graph from the original function and vice versa. Covered the critical numbers and the First Derivative Theorem for finding local extrema. Discussed some challenging algebra topics in how to handle rational roots with even and odd denominators (in terms of inverse functions of x raised to even and odd powers). I've promised to post notes on using the derivative to find the shape of the graph in preparation for meeting tomorrow."
"We reviewed differential equations and derivatives. The student has a test Wednesday. We solved differential equations, analyzed slope fields, practiced Newton's Law of Cooling, and checked solutions to differential equations by "plugging in." The student recognizes that she needs to memorize basic derivatives - especially trigonometric derivatives."
"Estimating the graphs of f, f', and f". First derivative test. Second derivative test. Relative max and min. Concave up and concave down. The student is not caught up with what he missed the first half of his calculus class. He is now proficient in the basics of calculus (limits and derivatives). We are now working on what he will begin to learn when he returns from his spring break."
"During my session with the student, we covered Partial Fraction Decomposition. We spent the entire session working practice problems that covered all the types of partial fraction decompositions, and spent a little bit of time re-learning synthetic division. She had no difficulty learning partial fraction decomposition and demonstrated a solid understanding of the subject."
"The student did not study this weekend for her final, so we had to cram as much information as we could into this session so that she could be ready for tomorrow. I also encouraged her to spend some time looking at the information in the morning, and her mother said that she will be taking her to tutoring in the morning to help her prepare. We looked at rational and radical expressions, properties of logarithms, conics, and trigonometry. She struggled most with rational expressions so we spent a little more time on that sections. She performed the best on trigonometry and properties of logarithms."
"We went over practice question from the Algebra 1 Review book in preparation for the Integrated Algebra exam. By the end of the session, the student was able to answer the questions correctly."
"In this session with the student we went over his final review for Algebra. Topics that were covered were word problems, factoring, radicals, and quadratics. We touched on each section focusing more on the difficult concepts in order to prepare him for his test. The student was doing well with all of the topics."
"So, for this session, the student and I went over factoring polynomials and linear equations more in depth. We started off with linear equations where I reintroduced slope-intercept form, point-slope form & general form and defined what a linear equation is (as opposed to a parabolic equation). We had plenty of practice converting between the different forms and calculating the slope. Next, we reviewed some problems I introduced to him earlier, involving dividing and factoring polynomials. I showed the student how it was the reverse of the FOIL method and gave him some practice to test his skills, the student seemed to do much better this session, probably because I gave him a lot more practice and I wrote notes throughout all of the paper detailing how to get to each step in clear, written directions rather than just showing the numbers and hoping/assuming he can figure out what happened in between each step."
"We went over the student's dissertation defense proposal, and filled in some of the details where she used calculus 3 ideas in conjunction with statistics. She seemed to understand it a lot more after talking it over."
"We reviewed the material from his previous 2 exams to prepare for his upcoming final. I clarified how to solve least common denominator problems and simplifying expressions with least common denominators. We also reviewed logarithms as some concepts he forgot how to apply. Overall, he will continue to review earlier content, this session was to clear up issues he had with material that was giving him trouble."
"She is taking her last quiz on Chapter 12 next week and she will not need any more sessions before that. We practiced some problems for her upcoming quiz and she has a good solid understanding of the subject. The student has a make up test for her factoring chapter, chapter 9. We spent most of the session working on problems for factoring and she is doing much better with it. She is still jumping into the problems without trying to simplify but we worked on that. She also has a quiz on the last of chapter 12 so the last ten minutes or so we worked on some problems from that."