Recent Tutoring Session Reviews
"The student completed a multiplication table, practiced factoring large numbers, and completed multi-step word problems (area, multiplying 3 digits, multiplying with decimals). Homework: factoring practice and finding common factors, 2 multi-step word problems. Continue multiplication table practice (7min 20 sec today!)"
"We began going over the topics in the student's summer school curriculum, focusing on numerical operations. We went over signs of expressions (same: sum and different: difference for addition and subtraction, same: positive and different: negative for multiplication and division) and order of operations (PEMDAS, where multiplication/division and addition/subtraction are ordered left to right). Aside from doing as much practice as possible on his summer school website, I also recommended that he start doing flashcards of basic multiplication and division operations on his phone."
"This was my first session with the student, and it went really well. She was really concerned about her exam. We worked on algebra, to get her ready for her next exam, which is next week. I saw her grades, and she struggled last fall. From the math side, she hasn't been working on problems for awhile and she forgot some things. As we worked, she started to remember. I left her to practice, and completely understand the problems that we worked on, and to try some of the others, so that she could get a better understanding of what was happening."
"We covered multiplication map. He's learning and improving. We worked on clocks and he has mastered this. I left him with some subtraction practice and to memorize the 1's multiplication table."
"The student asked for a review of Taylor and Maclaurin series so we just did a bunch of that, with lots of complicated examples, and including things like the geometric series, the Maclaurin series for sin(x), cos(x), and exp(x) -- as well as deriving the first terms for things like sec(x). I tried to talk a bit about how smoothness doesn't guarantee an infinite radius of curvature and that we have to look at the terms, and we did a bunch of examples."
"The student and I went through the concept of polynomials and how to add/subtract and multiply polynomials. We went through several examples together until I felt he was comfortable doing problems on his own. We then reviewed all the algebra and geometry concepts we've covered to date, to give him the opportunity to ask questions and seek clarity on anything prior to his test. He seemed better prepared and confident than he did at the beginning of our sessions."
"We went over the some of the problems on her last comprehensive exam and the student was able to solve most of those problems with very little help. We also completed more questions from the summer packet."
"The student and I covered concepts dealing with radicals, including simplifying, adding/subtracting, multiplying/dividing, and rationalizing denominators. He had no issues with the introductory radical problems, so we spent much of our session working ahead in his book to content he will cover in class this week. Some of the topics took a couple problems for him to get the hang of them, which is to be expected, and then he did very well. He continues to impress me with his dedication and ability to absorb material. He is doing very well in his summer courses and has two and a half weeks remaining. I have no concerns going forward."
"We started this session by reviewing the logarithm worksheet I gave the student last time. After, I wanted to make sure that he is comfortable with some of the basic algebra operations. We reviewed exponents, radicals, factoring, and rational expressions. He seemed to have a good grasp on these topics."
"The student and I continued going through his textbook. He had a few questions from the homework that I assigned him. They were well thought out and pertained to some good concepts. One question in particular (although beyond the intentional scope of the question) begged to ask about system of equations. Afterwards we continued through the concepts of integers, real numbers, and rational numbers."
"We continued working on integration with respect to the y-axis, both evaluating the integrals and representing them graphically. We also continued working on finding the volume of a solid of revolution using the disk method. We'll be meeting later today to review this topic further, as well as the shell method, finding arc lengths, and reviewing for the exam the student has tomorrow."
"During this session, the student and I went over lectures covering slope, slope and direction variation, slope-intercept form, and writing equations in slope-intercept form. After each lecture, we worked on practice problems until I believed he had a firm grasp on the subject. We focused much of our time practicing such problems within the realm of learning slope."