Recent Tutoring Session Reviews
"The student and I worked on fractions more today, solidifying her understanding of adding, multiplying, and simplifying fractions. We also spent significant time on multiplication facts, so that they'd become more natural with practice. While it may seem like we're doing the same thing every week, she is actually getting much more proficient every time. I think repetition has really helped her memorize the steps necessary to manipulate fractions, a skill that will be incredibly useful in Algebra."
"We covered binomial equations and problems. The student has her AP exam in 1 week and we are working to prepare her for the exam. I am going to send her a flowchart of how to approach statistical problems to make it easier for her to grasp the concepts. No new concerns."
"The student and I reviewed practice problems. Specifically, we went over some of the more challenging ones (in her workbook, some problems are labeled "Challenge"). These problems were integration that used some sort of "u" substitution or an integral where the integrand had to be transformed in someway to make it solvable. She has been doing lots of review problems on her own, which was quite evident during our session."
"Today the student and I worked through simplifying and solving radical equations. Because she was out of class some last week, she was a little behind on the material, but she seemed to pick up the concepts quickly. After discussing graphing radicals, we worked on basic simplification before moving to the more complex algebraic problems with cube roots. The biggest challenge for her was the algebraic process; she had difficulty remembering that when there are multiple variations of "x" (x^2 and x), she must factor instead of solve. However, once we worked through some problems she improved in her recognition of these patterns. She will get more information and help from school this week and we will meet again on Wednesday to get ready for her test Thursday and Friday."
"AP Test questions. Went over a problem involving coffee pots and multiple variables, using derivative/integrals to alter the variables used. Performed a very thorough examination of a Taylor Series expansion, and proving that it was equal to an equation using reasonable assumption."
"The student and I worked in the critical thinking exercises book on problems reinforcing his use and understanding of the coordinate plane. He identified points on a plane using (x,y) coordinates, and got to practice using the Pythagorean theorem."
"The student and I worked on problems focused on linear equations and the distributive property. She is coming along very well in solving algebraic systems and predicts next steps successfully. She also completed a quiz that covered linear algebra and the distributive property. We finished up with going through more complex distributive property problems."
"During this session, the student and I took a look at an old AP Calculus exam. We used those questions that gave him some pause as springboards for discussions about the topics associated with those problems. He had a nice grasp on many of the concepts we reviewed and he seemed to be able to make use of the suggestions I offered as well."
"I went over practice problems with the student during this session and I made corrections to the problems that I asked him to do at the end of the last session."
"We covered exponential growth and decay, as well as the natural number e and piecewise functions. Though he was initially uncomfortable with e (its utility, application, etc.), he was very comfortable with graphing such functions by the end of the session! I sent him notes of the topics about which he had the most questions shortly after the session."
"We reviewed logarithms during today's session. This involved changing base, converting to exponential form, and expanding/consolidating expressions. He knows the rules of logarithms, he just needed clarity on how to change between exponential-logarithmic functions. He grasped this concept relatively quickly. We went through several extra practice worksheets that consisted of various forms of manipulating logarithms to ensure he had it down."
"Today the student and I first reviewed the material that she missed in her class this week. We discussed parametric equations and polar coordinates. Then, we looked at AP questions involving series to review."