Recent Tutoring Session Reviews
"We revisited finding the least common denominator because they were giving the student some issues. After solving a variety of these problems, he began to get the gist how to approach them. The next 2 sections (12.4 and 12.4) involved factoring and least common denominator, so being able to solve these problems would only build on the earlier concepts. The addition and subtraction of LCD expressions proved to work out well. Following a thorough review of the section with practice problems, we completed the 12 problems on his HW. Today's session went well. He is able to solve the problems more quickly and independently than when we first started the tutoring sessions. His confidence is improving."
"The student and I continued to work on her study guide for her final exam. We worked on quadratic equations, complex rational polynomials, adding and multiplying polynomials, factoring complex polynomials, binomial expansion theorem (Pascal's triangle), simplifying exponential equations, geometric sequences (sum of finite and infinite) and more general quadratic and linear examples. Again, she just needed a small refresher on each of these. She has a formula sheet on the exam and it is multiple choice, so it makes it easier to prepare for it."
"Todays session went well. The student has a test tomorrow on chapter 10, sequences and series. We spent todays session preparing for her exam. We first discussed the quiz she took on the topic last Friday. From there we worked on multiple problems from her textbook going in great detail."
"The student and I met for our first session this week. She has been doing well so far in calculus but wants an A. She had already completed most of the homework for the class but had a few questions. We began by solving a few integrals involving substitution. I explained that since the different functions have derivatives that are other functions, we have to use identities to get those in place in the integral. Once we covered this, she better understood the process behind choosing an identity to be used. We then began working on improper integrals. This was a subject that was not fully covered in class. I showed her that we must check that the integral is continuous over the interval before we evaluate, or we must split it into parts. We also discussed taking limits of integrals that have intervals involving infinity. We have scheduled another session before her test on Monday to make sure she is prepared on the work she will cover the rest of the week."
"Today the student and I finished studying for her math final, which is tomorrow. We went over the rest of a assessment test practice test and talked about some test strategy. She and I have been preparing for the past several months for the test. I feel that she is going to be fine, especially considering some of the harder topics from the test will not be on this final. The student has progressed a great deal over the past few months and I'm confident she will show it."
"The student worked on Chapter 7 to create a study guide and go over questions on the final. Chapter 7 focused on polynomials and quadratics. We went over the three types of quadratics as well as learning some imaginary complex numbers and complex conjugates, applying quadratics to word problems, the velocity of movement quadratic, and some cubic functions. This was my first session with the student, so I am not able to determine progress. She seemed to recall most of the information, but struggled with remembering how to identify the formulas, although she caught on quickly. I did not leave her with extra practice because we were just reviewing."
"We went over a previous test that covered the topics on the Algebra exam that the student will be taking. She recalled most of the concepts and strategies in working through problems. Overall the session went well."
"The student and I went over 45-45-90 triangles, how to evaluate long algebraic expressions by distributing properly, multiple step area problems, and evaluating functions and number sequences. I gave her some books to look at over the weekend, but did not leave her with an explicit assignment. She had a good grasp of many of the facets of the problems she was attempting to solve. With practice, she should show improvement."
"We reviewed factoring and solving systems of equations. The student has no problems understanding concepts. I assigned her a couple of practice problems to work on until the next session."
"The student and I met and went over more of the college algebra book and worked through different types of problems. We covered distributive property, more exponent rules, synthetic division, some factoring, simplifying radicals, multiplying radicals, and solving radical equations. We will work more on factoring next session."
"The student and I had a great session today. We talked about parabolas and the various methods for finding their roots. This means we covered factorization, completing the square, and the quadratic equation. She is super bright and has a knack for mental math. I left her with practice problems on finding the roots of parabolas."
"The student sat for his assessment exams last week, which are serving as his final exams in class. As such, we didn't have too much new material to review, so instead we spent the time understanding how these materials applied to things he had a strong interest in. In particular, we examined how the algebraic concepts we had discussed would apply to computer science, and learned algorithms in the context of computerized chess."