Recent Tutoring Session Reviews
"During this session, we went through the trigonometry they wanted review, including solving triangles, law of sines, law of cosines, and circular functions. We will be doing some additional practice in a future session. For the most part, it is coming naturally to them."
"Today the student and I worked on different methods of solving quadratic equations (quad. formula, completing the square). We worked through the aspect of completing the square and he was gaining strength at the end of the session. I left him with the problems from the summary section to complete this week."
"The student and I met on Wednesday and we started a unit on polynomials. He was already pretty familiar with most of the rules involving adding and subtracting polynomials, so we breezed right into multiplication and power rules. We reviewed how to keep positive and negative numbers straight. The central concepts he grasped quickly."
"I saw a huge improvement this week! The students were solving problems faster and with more accuracy. By the end of the session, I was trying to really challenge them with lots of fractions and exponents mixed into their algebra, and while they expressed a little frustration, they did great! The students said they're currently reviewing in school, and they wanted to continue to be challenged with algebra practice. Their desire to push themselves instead of just repeating easier subjects is very impressive."
"We worked extensively on approximating the integral of a function, a type of problem that appeared on several practice final exams. The solution involves finding the Taylor approximation of the function, figuring out the largest possible remainder of the function, integrating the remainder function, determining which value of "n" ensures that the approximation is close enough, and then finally integrating the first "n" terms of the Taylor series of the function to find a final answer. The session went well overall."
"Today, the student and I worked on continuing his math practice. He is very quick at solving math problems. I encouraged him to focus on problems that have multiple steps for review. He told me that his test is 40 questions and 2 hours. He has had some improvement prior to meeting up today from his previous session. We will be meeting tomorrow in order to work on his goals."
"The student first worked on her Biology homework, which covered ATP, heterotrophs, and autotrophs. She learned why ATP is a high energy molecule and how it can release energy. We then studied for her geometry test tomorrow which is on graphing, slope, and how to tell perpendicular and parallel lines. She did very well with finding slope and determining parallel and perpendicular."
"The student and I went over some material from the beginning of the year to prepare for his final exam. We focused mostly on evaluating integrals and derivatives. For the end of the session we briefly discussed the rules for determining the divergence or convergence of sequences and series."
"The student and I worked on several things this session. We did single-digit division, and used number bonds to identify the relationship between multiplication and division. We also used telling time flashcards and practiced telling time with in 15 minutes."
"The student and I began preparing for his Pre-Calculus exam, which takes place next week. We worked on trigonometry. We completed his homework, graphing trigonometric functions. I gave him brief lessons on amplitude, period/frequency, and shifts. We also used technology resources: his graphing calculators and graph applets. He did well in identify the different components of the graphs, as well as the general forms of the graphs."
"We went over the material that will appear on the student's last exam, which will be Chapter 10 on conic sections and polar/parametric. We did an initial review of conic sections, focusing on the general equation, and then the standard form for a circle. We moved on to parametric equations, using an online review sheet as a reference. Subjects covered included converting equations from parametric to rectangular and calculus with parametric equations. We finished with polar equations, reviewing converting to rectangular coordinates/equations, and also working on polar calculus."
"We went over using quadratic formula to find real world problems. He really grasped the material well at the end. At first, he wasn't sure how to approach the problems, but after a couple of practice problems he started understanding. Overall, the session went great!"