Recent Tutoring Session Reviews
"The student has a test this upcoming Monday and we worked on her chapter review problems which covered U-substitution, 2nd fundamental theorem of calculus, average integration formula, differentiation of complex functions, identifying even and odd functions, finding areas under a curve through definite integration."
"During this session the student and I focused on a review packet on integral calculus concepts, specifically: indefinite integrals, the fundamental theorem of calculus, and particle movement. We looked at interesting questions from the packet which will be great study problems if she attempts them again without the notes I left her."
"Both students and I reviewed for their upcoming test over inverse trigonometric formulas and their derivatives and integrals. We reviewed arctan, arcsine, arccosine. We also used 'u' substitution, evaluated limits, and worked on some AP test style problems involving rates of change of activities."
"To start this session, we reviewed the special angle relationships when two lines are cut by a transversal. We emphasized vocabulary such as vertical angles, alternate exterior, etc. and the student put together a list of such vocabulary for future reference. We then spent some time reviewing exponential equations for Algebra II. Because the materials I brought were from further along in the chapter than his class was, we concluded the session with a review of geometric means from Geometry. I asked him to make flashcards for his Geometry class throughout the week."
"In this session, we covered many things such as adding, subtracting, multiplying, and dividing fractions and integers. The student did not have any homework but he wanted more practice with fractions and integers. There were times where he would get the negative and positive answers mixed up but I gave him tips on how to know if the answer is a positive and negative. He quickly understood it. I gave him problems to help him with fractions and integers. He understood how to do both of these things. I noticed his progress simply by observing his work. He was not struggling with any of these problems nor were there any concerns in this session. I did not leave him with extra practice because he really understood these problems. He is continuing on being a fast learner."
"I wasn't sure where the student was on her math syllabus but I was able to retool my lesson on fractions into one featuring ratios (which was the subject she had just begun in school). Her operations were a little rusty but I hadn't seen her in quite while. I suggested that she review the multiplication and division tables 8-12. As usual, she worked hard and happily."
"In our session, the student and I concentrated on her Algebra 2 class. We reviewed the concepts that we had talked about last time by doing some of her math class' "warm-up" problems. She still had some difficulty recognizing when to use negative exponents, but otherwise, she seemed to remember everything well! Next, we talked about the laws of logarithms (for example the log of two things multiplied together is the same as the log of one added to the log of the other). We talked about three of these laws and practiced using them in problems. First, we just practiced converting from one form to the other. and then we practiced solving logarithms using these techniques. She was a bit confused in the very beginning but caught on quickly. We were unable to get completely caught up to where she is in her math class now, but we will continue on Wednesday. She said her chemistry class is also going well and that she is better able to follow and learn new concepts after our last session."
"The student will have a test on Friday covering integration by substitution. She has already completed all of the review problems her teacher assigned and had questions on only a few for me. In general, she understands the topic very well. We cleared up her questions, after which I showed her some more advanced substitution problems of the caliber she might encounter on the AP exam."
"Long and synthetic division of polynomial functions. The student did very well. He had no graded work to show me. We went over the material is currently working on in class. Most of the errors I saw today were either arithmetic or notation. Both are common and correctable."
"As of our review last week, the student and I are caught up with her class, so today we looked ahead at some topics from the next unit on polynomials, including the rational root theorem, irrational root theorem, complex conjugate theorem, multiplicity, and end behavior. I also answered some of her questions about the applicability of algebra to careers and about college courses."
"The student and I spent most of our time working on his algebra 2 homework, which involved simplifying rational expressions that are either added or multiplied together. The most difficult part for him was combining the numerators correctly and determining when factors can and cannot be cancelled. However, after working several problems, he improved and said that he felt very confident."
"Today we covered percentages. We also reviewed the student 's quiz from last week on fractions. While he did do significantly better on this test than he has in the past, he still needs to work on double checking his work and ensuring he is not rushing through the problems. I had him re-do the questions he got wrong on his quiz, and also reviewed adding/subtracting fractions as well as reciprocal numbers with him. I have no concerns and feel that he is improving in consistently checking his work."