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Recent Tutoring Session Reviews

★ ★ ★ ★

"In today's session, the student and I continued our work on math fluency involving addition. She completed practice exercises to increase her competency using a given strategy. We also used constant time delay to learn doubles. The concept of the turn around rule for addition was discussed using a matching game with flashcards. The rules for adding 1 more, and adding with 0 as an addend were reviewed as well."

★ ★ ★ ★ ★

"The student and I reviewed for a quiz that she is having on Wednesday. She is working on logarithms; she's worked with base 10, other bases, knows the properties of logarithms, and also the way to convert a logarithm to exponential form and vise versa. She did very well with her homework which was a review packet. She just needs to make sure that she checks the answers to make sure she doesn't have extraneous roots. She got into the habit of doing this and was able to determine what to keep and what to exclude. She said that in class the next topic is natural logarithms and since she did well with logarithms so far, she should do well. She also let me know that last week she had a quiz and scored an 80. "

★ ★ ★ ★ ★

"The student completed homework on logarithmic functions and did some extra problems to study for his test on Tuesday. He understands the math, but he frequently uses his calculator as a crutch to graph the functions instead of understanding what they mean and should look like."

★ ★ ★ ★ ★

"Today we covered lessons on complex numbers, including addition and multiplication of complex numbers. Then we covered the chapter on chemical mixtures. The student is quickly absorbing all lessons and has great algebra and scientific calculator skills."

★ ★ ★ ★ ★

"The student was still not 100% certain of how to do Gaussian elimination, so we practiced a lot of that. We extended the procedure into larger matrices and talked about ways to speed up the process. By the end, he was pretty confident in solving matrix equations even without a calculator."

★ ★ ★ ★ ★

"The student told me that her teacher had been absent since the last time we met, so there was not a whole lot of new material. However, he had asked his students to move ahead in the unit and gave them some practice problems to do on their own. She understands the basic concepts behind trigonometry and just needs to become more comfortable with using them in novel situations. I also had to teach her a little about conic sections, specifically circles, since she apparently has not covered that yet in class. We were able to address any and all issues she had, and she felt a lot more confident with the material by the end of our session."

★ ★ ★ ★ ★

"The student and I spent the session in a whirlwind review of conic sections and trig. We spent the most time on conic sections, going over ellipses and hyperbolas again as well as going over parabolas. We worked on some problems from her review sheet and focused most of our attention on simplifying conic equations into their general form. We closed the session by briefly reviewing the Law of Sines and Law of Cosines and trig identities. I showed her how to use the basic Pythagorean identity to derive the other 7 forms of it with only one or two steps of algebra."

★ ★ ★ ★ ★

"We finished up studying today by reviewing the information from yesterday and looking over the rest of the manual. It's very clear to me that the student has a strong grasp of the material necessary for the CDL exam. I'm confident that he will do well! Great job!"

★ ★ ★ ★ ★

"The student has a final coming up covering all the concepts from first semester. He was able to identify several topics that had been difficult. We began by factoring quadratic equations. We talked about different divisibility rules and he made notes. We also talked about factoring out a constant first so there are smaller numbers to work with. He also had difficulty solving systems of equations. I showed him both elimination and substitution, and we discussed which types of problems best lend themselves to which strategy. We also covered systems with infinite/no solution and discussed what these would look like on a graph. He has a test on Friday that we will get ready for at our next session. "

★ ★ ★ ★ ★

"We covered circles within right triangles, theorem of congruence of tangential lines from an external point of a circle, and relationships of tangential circles. The student seemed to be struggling with high level approaches and strategies when facing more advanced homework problems. She was very understanding and willing to learn and practice the skills she was taught. The best practices we established were to establish and find lines from the center of the circle to the corners of the right triangles and also with perpendicular lines to the sides. We also established the need to be liberal when drawing lines, assigning variables, and listing out variable relationships. We definitely went over the same problems and some other similar problems to really solidify the concepts. We also went over the assumptions made when establishing variable relationships. "

★ ★ ★ ★ ★

"Today we went over molarity, molality, boiling point elevation, and freezing point depression, alongside general definitions of acids and bases. Next time we will move on to more in depth problems about acids and bases and review molarity and molality if needed. "

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