Recent Tutoring Session Reviews
"The student and I covered the various convergence and divergence tests for infinite series, linear differential equations with given rates, and trigonometric substitution. I believe he had a firm grasp on the material and only needed to fill a few gaps and get some reiteration on a few points. I provided a few examples and forms to look out for when deciding whether to use trig sub for him to study."
"Today, the student and I covered optimization problems and economic terms. In particular we covered the unit, price, cost function, revenue, profit, marginal cost, marginal revenue, marginal profit and the demand function. Then we solved a problem optimizing the volume of a box, the minimum acceleration of the space shuttle, and a minimum length of wire to connect two poles of different length that are 30 ft apart."
"We went over almost the entirety of his course: properties of functions, limits, derivatives, applications of the derivative, antiderivatives, areas under curves, the definite integral, fundamental theorem of calculus, and applications of the integral. I identified specific points that he should study (e.g., properties of the definite integral) and asked him to work through examples of material doesn't feel strong on (e.g., calculating derivatives from the limit definition)."
"Today the student was working on improper integrals. He showed me two assignments that they had been working on in class from his textbook. We started with the most simple problems and worked our way up to the most challenging ones. At the end of the session he seemed very confident with the concept. We also reviewed how to use the integration table and used that to solve one of the improper integrals."
"For our first session, the student and I worked on a lot of trigonometry problems. We had to discuss the basics of trig in order to understand what the problems asked. For the second session, the student and I reviewed material that he wanted to reinforce. We made sure that he had a strong understanding of that material and are hoping to have one more session before his test"
"The student and I continued reviewing factoring, perfect square binomials, the difference/sum of two squares and the difference/sum of trinomials, exponents, adding/subtracting/dividing/multiplying terms with exponents and like bases."
"The student continued to work on his math today, with a particular emphasis on equations involving decimals. We also read and discussed more of "Dead End in Norvelt", the required reading book from his summer reading list."
"1) School HW: place value in exp notation & word form. 2) Reviewed metric units and conversion, long division with zero in the quotient, and writing remainders with decimals and fractions. 3) Review strategies for 2's, 3's, 4's, 9's 3) Intro Commutative Property and Multiplication Strategies for The Last Six Facts (6's-8's) 4) Sudoku Level 2 The student catches on quickly and is making great progress."
"In this session, I prepared my client for a test he would be taken on Thursday. The topics that the test will be focused on are factorization, completing the square, etc. My client was given a practice test by his instructor in school, and I explained and worked out many problems in the practice test so as to guide him in solving the other problems. I picked a couple of questions from the test and asked him to solve them, and he was able to follow the strategy I explained to him in answering those questions. Overall the session went well, and my client was satisfied and prepared for his test."
"We covered some beginning algebra (solving for an unknown variable in an equation). We also reviewed 6,7, and 8 multiplication tables. Additionally, we reviewed and practiced multiplying by 11-19 using the compensation method and the split method. The student is more comfortable with the split method. Her assignment was to continue memorizing multiplication tables 3-9."
"During our session, the student and I checked her math homework and did a few additional problems together from the text book. I also assisted her with a current events homework assignment, which involved selecting and dissecting a news article. During this session, I saw her most recent progress report which was all around excellent (all A's, and even an A+). She is very bright. We left the session with a few tips for test prep and goals set for next time!"
"We went over the function transformation questions I left her with last time, and then broached some basic physics with functions we already knew (i.e., F=ma). The student's biggest hurdle was visualizing the concepts properly, especially when it came to vectors. It was clear that I needed to make analogies and describe it in as many different ways as possible. We ended up using the whole room to describe vectors, planes, and projections, but this way worked best for her and she had a very clear "Ah-hah!" moment. In addition to the topics mentioned, we touched on gravity, projectiles, and basics of forces."