Recent Tutoring Session Reviews
"Today we discussed correlation matrices, r squared (the coefficient of determination), variance, mode, and skewness. The student seems to be catching on very quickly to the wide variety of topics she is encountering in her coursework. No concerns to report. I did not leave extra practice, but she has a good number of practice problems from her textbook."
"We covered polynomials and imaginary roots of those polynomials as opposed to rational roots. We also covered matrices and their properties. We went through some of his homework problems and I saw he had a hard time understanding imaginary numbers at first. However once I showed him the math behind them and how simple it really was he caught on and was doing the problems easily. With matrices he only had to learn the rules associated with them such as row and column similarities in order to multiply, etc."
"We covered parametric equations, polar coordinates, and Cartesian coordinates. This was our first session, but his next exam is on Thursday and we set a goal of 85% for the exam score."
"The student and I continued working on expressions with radicals. This time we started out with multiplying binomials that both have radical expressions. This built on what had already been covered with radical expressions, and she made good use of her previous practice. We'll continue working on these in our next session."
"The student and I completed four sections together, consisting of a reading section, a math section, and two writing sections. He did well overall. I did not end up giving him any extra practice."
"We covered gradient vectors, directional derivatives and Max and Minima. The student is trying to schedule her first exam this week. I believe she has a firm grasp of the material, and will be able to complete each problem correctly the first time with a little practice. Her homework assignments include several problems in each section. She is picking up the idea of Partial Derivatives and how to handle expressions of multiple variables."
"I helped the student prepare for the upcoming exam by reviewing online homework problems on integration by parts, integration with trigonometric identities, and integration by substitution."
"Using worksheets from the student's 7th grade math class, I reviewed concepts from the school's curriculum. Perhaps the most important skill he will need to develop this summer is transliteration. I provided him a brief guide, including "more means +," "less means -," "of means x," and "is means =." I also reviewed how to isolate and solve for variables, according to order of operations (PEMDAS). The main content of the lesson was percentages, so I made sure he was aware that % was essentially equivalent to division by 100. I then asked him to always convert percentages to decimals when writing algebraic equations. I think he understood the material."
"The student and I went over concepts of multiplying/dividing negative and positive integers. We covered adding/subtracting/multiplying/dividing fractions and simplifying fractions. We also covered order of operations when there is an expression where one has to add, multiply, or raise numbers to an exponent. He picks up concepts very quickly. Some of the earlier/easier problems he could do with no problem. If he spends the summer doing problems every few days he will have no problems with the next grade."
"Yesterday, the student and I reviewed for her midterm. The majority of our time was spent working on reviewing order of operations (PEMDAS), functions, word problems (interest, rates and principal), and solving systems of equations by elimination. She seemed to struggle the most with isolating the variable x, but we spent an extensive amount of time making sure she understood it. She will continue to work on exponents on her own and she expects to take the proctored exam on Wednesday."
"We warmed up with a review of topics covered in the last session, and then did more energy problems (incorporating a new form: elastic potential energy). On the math front, we talked about conic sections (parabolas, hyperbolas, circles, and ellipses). This included their formulae, how to graph them, and how to shift their centers around in the x,y plane."
"The student's third test is tomorrow, so we went over the entire unit. We covered indefinite integrals, definite integrals, Riemann sums, the substitution rule, and Net Change Theorem. She is making great progress, as she made an A on her last test."