Recent Tutoring Session Reviews
"For today's session we focused on the properties and operations associated with logarithms, as well as the relation between logarithms and exponentials. We started by working through the student's homework problems, examining how to expand and compress logarithms of composite functions. We practiced many examples simplifying logarithmic expressions with exponent in the arguments as well, understanding why the exponent is brought out as a coefficient. Finally, we examined the inverse nature of logarithms and why they came to be, as well as how to make a table to plot them and analyze transformations for these functions."
"We went over his chapter on solving systems of linear equations. We did all the odd problems on the end of the chapter practice test, and I assigned him the even problems as homework. We then worked on his formula sheet and finished putting together his homework packet."
"Today we worked on exponent rules and simplifying expressions involving exponents. The student was very comfortable with zero as an exponent. She seemed to be kind of unfamiliar with negative exponents, so we worked on this the most and she was getting the hang of it towards the end of the session. She did very well multiplying exponents and once we went over dividing exponents, she definitely improved with this. She was good with finding the prime factorization of numbers, and said that she was comfortable with scientific notation."
"We used the student's review sheet to cover setting up word problems involving using Rate, Time and Distance. We also covered word problems with fractions - setting them up and solving. She received a 91 on her last test. She needed help with breaking down the word problems to set them up. Once they are set up she is very good at solving the problems."
"Student 1 and I went over basics of the metric system and Student 2 and I went over angles. Vertical angles, adjacent angles, straight, and right angles. With both boys I previewed some material they had not covered yet because they did so well with the material they already had."
"We covered exponential growth. We reviewed binomial expansion, and I think he got it. He had a really positive attitude."
"We spent most of today covering Physics and Algebra. He is currently on factoring trinomials, so I taught him an easier, more consistent way to do the work. He finished his work in about half an hour. We then moved on to Physics, where he is diving into some basics about electricity, voltage, current, and resistance."
"In algebra, we reviewed concepts for his test on Wednesday. We went through one of his quizzes and broke down the concepts, one by one, into a multi-step process that he could practice with on several problems. At the end of the session, I wrote up a mini-quiz for him, and he did pretty well. He will also have additional practice in class tomorrow."
"Today the student and I worked on finding solutions to a system of equations by adding or subtracting one equation from another and on graphing systems of inequalities. He picks up on concepts pretty quickly. We wrapped up with some fractions work."
"The student had a quiz on factoring polynomials the next day, so we spent this session reviewing the materials and completing his homework to prepare for it. He had a good understanding of how to factor simple polynomials (problems with coefficients on the 2nd and 3rd terms). By the end of the session he was able to do each problem correctly on his own and in considerably faster time!"
"The student and I began working with Quadratic polynomials today. I went over the definitions of a polynomial and the degree of a polynomial. We talked about how the degree gives us a limit on how many roots a polynomial can have. We also looked at the graphs of a few different quadratics. We got to the quadratic formula, but only looked at a few examples so as not to confuse the material we worked on in the beginning of the session. We will work through more problems involving the quadratic formula."
"The student's test Friday has been postponed to this Friday, so today we continued working on solving for unknowns in linear equations. Today the student was on top of his game! He was quick to recognize when the strategy of cross multiplication should be used, even when the denominator was a polynomial. In addition, we worked more with the strategy of eliminating/moving terms from/to either side of the equal sign, and he caught himself every time he attempted to divide instead of adding/subtracting and vice versa. We also reviewed the concept of factoring binomials and multiplying polynomials by negative numbers. The student is doing well distinguishing the appropriate strategies to use. I am very proud of his success today!"