Recent Tutoring Session Reviews
"On Wednesday we worked on the student's Geometry homework. I continued to encourage him to write the problem down and work through it on paper, as opposed to doing it in his head. I think we are off to a great start!"
"We spent the session covering any problems the student found especially challenging, on her previous benchmark exam. We spent the time covering a new concept she learned - scatter plots, and she finished an assigned worksheet. Then, we worked on multi-step equations at her request. I assigned some challenging problems from an outside source, and she was able to do 2 with guidance from me. The student was assigned to finish a practice problem on her own."
"The student has a test on Monday, so I covered examples of the sections mentioned in her handouts for each including: finding multiplicity and all the zeros of polynomials, factoring polynomials, adding polynomials, comparing arithmetic and geometric sequences, systems of two linear inequalities and absolute value inequalities. I left all of the examples for her to go over before the test. The student understood how to create equations for polynomials, a section she was initially struggling with."
"The student and I began the lesson by going over the Pythagorean theorem and then continued to the next chapter in the book dealing with radicals and unknowns with them. The student had a good understanding of applying the Pythagorean theorem formula to triangles, but he was a bit confused about what Pythagorean triplets were and how to recognize their multiples. After a few examples, he understood why memorizing these sequences could be useful for his problem solving in the future. We then moved on to the next chapter dealing with radicals, which will probably be the topic the student goes over in school this week. We first reviewed how to simplify radicals from last week, and then moved on to harder problems dealing with unknowns. I saw a huge improvement from last week's session to today's. The student is much more comfortable with the problems dealing with radicals: he understood how unknowns are simplified and was working much faster on the problems toward the end of the lesson."
"The student and I worked on reviewing some of the concepts from chapter 5, even though she has already had the test for this unit; she had a few lingering questions, and it will help her on her cumulative exam to getting a better understanding of the material. We worked on simplifying rational expressions and continued our discussion of rationalizing denominators and solving equations that contain variables within radicals. She displayed a good intuition for and understanding of the concepts, but she continues to have occasional errors in transcribing or calculations. We worked on not losing sight of the details while maintaining focus on the bigger picture of the problem, because we want to avoid her missing questions that she knows the process for because of small mistakes. Other than being meticulous about the minutiae, she demonstrated good proficiency with the material."
"During this session, the student mainly wanted to focus on concepts from her math class, as she has been struggling recently in that class. She had a recent math test on which she had not performed as well as she would like, and asked if we could go over the test together and see where she went wrong on individual questions and how to better approach such questions in the future. The test mainly covered concepts of nesting functions and the radical function, y=sqrt(x). She had been asked to simplify equations involving multiple functions, solve a nested equation for a given value, graph a radical function in stages, and answer some multiple choice questions about these concepts. For each question, I would ask her how she had approached the problem and what her thought process was in trying to solve it. On some questions, I found that she had misapplied order of operations, especially when dealing with fractional exponents, so we spent some time clarifying those concepts. On other questions, she had made a minor error or had forgotten a key concept. We reviewed all the information necessary to answer all the questions on the test, and by the time we were finished, she had completed a page of corrections for all the questions she had struggled with. Her studiousness and positive attitude about learning are exemplary and definitely contribute to the improvements she is making in this subject area."