Recent Tutoring Session Reviews
"The student and I successfully covered her algebra homework which covered rationalizing denominators again and some more of simplifying expressions with positive and negative exponents. It went really well; she is beginning to excel. She did fairly well on her math exam as well, which felt good for the both of us. We then moved on to chemistry and I helped her with her titration lab report and then explained the quantum mechanical model to her. All in all, it was a very successful tutoring session. We also went over her exam and the questions she got wrong."
"We haven't had a session in a while, but the student is back in it and needed some catching up. He understood the material we went over very thoroughly and we plan and reverting back to our normal tutoring times starting this week."
"Today we worked more with linear functions and systems of linear functions. The student needs more work on graphing using slope and y-intercept. I assigned him extra practice problems to address this. I also noticed that he does better when talking out the problems he is working on--he catches his mistakes this way. I want to work on strategies for him to be an independent worker while also acknowledging he seems to be a verbal learner."
"During our session, the student and I went over a worksheet/homework assignment covering simplifying equations that involved imaginary expressions. She did very well during our session. We will meet again next Sunday."
"The student and I met on Thursday after not meeting for two weeks. On her most recent exam, she received a 71 which was a bit concerning to her parents and so we began by reviewing her test. As it turns out, she made the exact same mistake throughout her test. When she borrowed while subtracting mixed numbers, she did not know that she had to translate the "1" she was borrowing into a fraction with a common denominator that matched her existing fraction. For example, if she was borrowing from 3 2/7, she would have to change "1" into "7/7" and add that to her existing "2/7". While it is unfortunate that her grade was lower due to one repeated mistake, I was pleased that in correcting this one misinterpretation, she was back up to speed in her math class. We practiced with a number of mixed number subtraction problems and practiced two methods of solving them: 1) Simply borrowing from the whole number and 2) changing both the minuend and subtrahend to improper fractions. She did quite well with these methods and I have provided her with a practice problem worksheet to complete before our next session. Additionally, we finished by introducing her to area and perimeter word problems and solving for a missing side. We will continue with these types of problems this Thursday."
"For today's session, we focused mainly on the student's algebra 2 material. His class is covering sequences and series, which we touched on during our last session. We had yet to go over series together, so this is where we started today's tutorial. I had him point out the relationship between a series and a sequence, which he understood well, as well as show me how to use series notation. He knew how to write an equation for a series using sigma notation, and he understood what the numbers above and below referred to. We did some practice problems to see where he was in his understanding. I asked him to write out a series given a sequence, and to write out the terms of a series given the sigma notation. He was very good at this, and he went through his homework with no questions whatsoever. Because he understood this material so well, we moved on to his chemistry assignment. In his chemistry class, he is currently going over gas laws. As we went through the assignment, I asked him as many conceptual questions as I could about the relationship between pressure, volume, and temperature, since the rest of this section is just math problems, which I know he can do. He knew all the equations and was even focused on using the proper units so that he would get the correct answers. He finished his assignment in good time, and we went back to his algebra material to move ahead of the class. I showed him Pascal's triangle and how to use it for binomial expansion. I also taught him how to find the series of a specific term for both geometric and arithmetic series. When he learns these concepts in class, he will already have a background on how to do these types of problems, which will help him reinforce what he has learned during our session."