Award-Winning Private Math Tutoring in Longmont, CO

"The student had two long questions from a practice free response section to complete, so we spent a long time analyzing those problems. I explained how those problems were characteristic of types and showed her other problems similar to them with different numbers, functions, etc. We also made flashcards for her to review the formula for the area of a trapezoid and for how to apply that area to trapezoidal approximations for estimating the area under a curve."

"We worked on a series of six sample AP questions for the upcoming test, all free response. These covered a variety of topics. We also talked briefly about how much work was necessary to show for the test. At the end, we spent a few minutes on some AP chemistry acid-base titration."

"Tonight we went over a comprehensive take-home exam. I was happy to lecture on the topic for a problem as well as provide solutions to related problems. Specifically, we covered complex numbers, solving quadratic equations, the discriminant, midpoint, distance formula, Pythagoras's equation, Special triangles (3-4-5 right triangle, 5-12-13 right triangle, the 45-45-90 and the 30-60-90). Once he gets started, the student does very well. For that reason, I tried to encourage him to start with his first instinct as much as possible."

"The student has finished most of the material for the semester so we worked on one of her review assignments together. She had a practice multiple choice section from a previous AP exam and we were able to finish that fairly well. Most problems gave us little trouble and the ones that did were mostly because we had forgotten certain particular theorems which was good because it was a learning experience. The ease with which we completed the assignment seemed to startle the student as her classwork is quite a bit more difficult. I think this was good for her confidence with AP calculus and I definitely think she can do well on the exam. We finished by cover some basics of integration which seemed odd as we had already covered some of the more advanced parts of integration, but the review was useful nonetheless."

"Today the student and I worked on linear regression t-tests for slope and reviewed the chi-squared test in order to help prepare her for an upcoming exam. We also looked at a problem that required her to review all the different types of hypothesis tests she has learned. Finally, we talked a little bit about the upcoming AP Exam."

"Today we worked on verifying trig identities. It was a lot of manipulating equations to turn them into different forms, similar to what we were doing previously, using the trig identities. He understands the process and improved over the course of the session on knowing how to manipulate the identities in useful ways. He is also having a Chem test this week, and we talked a little bit about the topics that will be on it, but it was a review sheet of all the broad topics he has covered over the year, so we did not get to go into much detail. "

"In a very productive session, we worked on: - a finance worksheet, - the math worksheet due tomorrow on special triangles, - a Latin exercise on the passive forms of past tense verbs, and - the pre-write for the in-class essay on biblical heroes (discussing thesis and possible quotes)."

"The student and I prepped for his test on Thursday. We worked on functions, graphs and algebraic fractions/expressions. There were a few minor hiccups, but he gathered himself well and completed all of the problems correctly! Good job!"