Recent Tutoring Session Reviews
"We spent most of the session working on arithmetic sequences. The student initially was having trouble with finding the "n-th" term in a sequence, especially when the sequence was either decreasing (i.e. counter-intuitive compared to a number line) or increasing, but negative (e.g. -10, -7, -4, ... etc.). After practicing these types of problems, however, the student was beginning to understand certain concepts that were previously difficult for him to grasp. He began to recognize the "common difference" between terms in a sequence, and learned how to use algebraic expressions to find the "nth" term."
"This was our first session. We started by talking about the student's math background and any areas that she has struggled in. After that, we started reviewing her homework on growth formulas. She said she was confused by these types of problems. After working through the problems, it seemed that she felt much more comfortable. She has a test at the end of the week covering logarithms (including growth formulas). I will be sending her extra practice for logs to help prepare her for the test."
"We covered chapter 5 on factoring monomials and polynomials, which the student had a test on this week. We tried to go through the steps of each problem verbally so she could slow down. I told her to do this during the test: narrate in her head each step so that she could identify when she was making an error."
"We reviewed content that is going to be on his test this coming Friday. This content was the same material that we covered the last time we met, deriving linear equations from points. The student seems to have a strong conceptual understanding of the material. My only suggestion is for him to be very organized and to not skip steps through assumptions."
"Tonight's work focused on graphing equations that contained absolute values. The student understood the concept well (such equations produce v-shaped graphs)."
"We worked on system of equation word problems and reviewed some of her work from last week. We also worked on an assignment she had involving distance and rates (if two trains leave their respective stations at the same time, what time will they meet? etc.) and profits and costs (how many phones do you need to sell to break even? etc.) Most of these were word problems, so it was a good way to practice. The student is improving at identifying the different aspects of the problem, and determining what information she needs to find from the information given."
"Today we worked on quadratic equations: factoring and solving. We talked about the discriminant and worked on a couple word problems involving quadratic equations. We also went over order and type of polynomials: the difference between order, and whether its a binomial/trinomial/monomial/etc. We also worked on using the quadratic formula. The student seemed to gain a lot of insight from today - I think she was unsure when to use certain techniques to solve quadratic equations."
"In this session the student and I went over another practice test that she took for homework. This test was much harder than the other ones that she has completed. We went over each problem that she got wrong and noticed some patterns. We discussed how to approach problems when you haven't seen similar ones before. We then discussed properties of square roots."
"Today with the student, we covered the simplification of exponential expressions. The student has still not received his test from two weeks ago, and so we haven't had the chance to go over that yet. I worked with him on his online homework check quiz, the student demonstrated a great understanding of the material. It was clear to me that he has a great handle on the material. I urged him to write his work on paper, he hardly made any mistakes. The student still needs some practice with the rules of combining exponential expressions, and so I told him to finish all the optional practice problems given to him by his teacher as well as the textbook homework and any other problems that look interesting. Overall, I have no concerns from this session and look forward to seeing the student continue to excel."
"On Wednesday's session, we went over one starter problem and her homework set. The starter was about defining a recursive formula, which was related to the arithmetic sequence problems we have been going over. Her homework set was again about arithmetic sequences, but this time she had to understand the differences between function notation, recursive formulas and solving for the nth term expression. We did not have time to go over any word problems, but since she has a break from school all of next week, we will be going over those in more detail."
"We continued working on some makeup homework assignments from past units. These were on topics such as long division, the distributive property, and adding and subtracting fractions. All of the topics were review for the student and I didn't have to teach any of them from scratch, but it was apparent that he appreciated the review and felt more confident about all of the material. Next session we'll pick up where his class is at currently - ratios."
"We went over functions to review for his quiz tomorrow. We went over all of his worksheets and homework assignments. He seemed to struggle with the word problems where he would have to model a real life situation as a function, but we were able to get some practice in."