Recent Tutoring Session Reviews
"Today the student started to learn about the chain, product, and quotient rules for taking derivatives. His biggest issue with them was identifying the separate or inside "functions." With practice and demonstration of a more systematic approach and notation, he seemed to do better. By the end of the session he was better at recognizing the inside functions, which I think was helped by comparing the longhand version of finding derivatives with the power rule."
"The student and I continued our work with positive and negative integers and the number line. She is still struggling with adding and subtracting with negative integers; however, she caught on when I talked about it in terms of money. We did basic problems as well as story problems. I recommended that she continue her work with negative integers. No concerns from this session."
"The student and I continued practicing logarithms today; she showed quick mastery of basic log problems, but it took a lot of practice and explanation before she figured out negative and fractional logarithms. We then moved on to counting techniques, including the fundamental counting principle, factorials, permutations, and combinations, all of which she seemed to understand quickly."
"We covered using multiplication/division to solve problems and order of operations. The student had a little trouble setting up the proportions to solve word problems, but with practice he got better. He did a good job with order of operations. He is making good progress."
"In our first tutoring session, the student and I went through long multiplication and long division from his school issued workbook. He is a very intelligent kid whose only issue is rushing through the problems. When he does take his time, he can answer 99% of these type of problems. Our goal for the end of the session is to finish all the assigned pages from his workbook and be better prepared for pre-algebra."
"The student and I worked on her summer review packet which included solving multi-step equations, operations with fractions, the distributive property and proportions. The student had a few challenges with the distributive property and solving multi-step equations; we finished a portion of the packet and did some practice problems on those two troubling concepts. I also left her with a homework assignment on multi-step to have completed for our next session."
"Multiplication Bonanza!! Today the student and I continued to practice with multiplication via number line to strengthen her strategy toolkit when she gets confused. She created number lines for 2's, 3's, and 10's. We will expand her multiplication practice as we continue our sessions. I encouraged her to look for patterns in the numbers as they increased instead of guessing at the answers. Once she discovered the numbers increased at a similar pace she was able to complete problems much faster!"
"The student will be taking her midterm exam tomorrow at school. She completed a practice test that informed her of her weaknesses in geometry. There were a few sections in the geometry chapter of her book that she had completed independently, without my help. We went through these and did as many practice questions as we could. The student set them up and solved them independently, asking only for small clarifications and reassurances. We focused most of our energy on the problems that involved subtracting a smaller area from a larger one to find the area in between two shapes, and subtracting smaller volumes from larger volumes. The student is allowed a help sheet, so I made suggestions for what to include on it. Since formulas will be given to her, I suggested she devote most of the space to examples and illustrations (what is a trapezoid vs. rhombus). At the end of our session, she felt very confident that she was ready for her midterm. I wish her the best of luck."
"The student and I continued to review the latter parts of chapter 14, gradients, liberalizations, and parts of chapter 15, continuity and differentiation, first and second partial derivatives and the applications."
"Once again, we worked on radicals. This time, I'm seeing some marked improvement. I made up 20 new radical questions that he will complete for next time."
"Today the student and I covered chapter 14 in her course. The chapter included more probability problems like gambling, cards, dice and so on. The student and I try to logically solve the problems together before referring to her notes or examples. She did a great job staying focused. Today's session was great!"
"We covered quadratics and any questions over completing the square and imaginary numbers. We also did some systems of equations word problems, and will do even more word problems next time. We moved onto exponents and logs. This includes all the rules associated with the two and also graphing. Next time we will review ( and I will have a review packet to make sure all concepts are sticking), and do word problems (quadratic, log, exponential)."