Recent Tutoring Session Reviews
"We went over an introduction to working with decimals. We discussed their relation to money and how you can use knowledge of calculating the cost of items to help with estimating the answer to an equation with decimals and vice versa. We practiced with homework and extra problems."
"This was our first session together for the student's Algebra 2 class. We covered parabolas, their focus, and directrix. He is fairly organized when writing mathematical equations. He had difficulty understanding these concepts in class but seemed to get a much better hold on the material when we practiced his HW problems together."
"The student and I worked to integrate the two skills he had been practicing: adding like terms and solving algebraic equations. This was difficult for him and we will continue to integrate the skills in our future sessions. I am allowing the student to begin to perform some of these calculations on a calculator to teach him proper computational syntax."
"We went through some questions that gave you scale dimensions and asked you to find the actual size of the object. Then we went through the mid-chapter test in his book in preparation for his Friday quiz. It went over unit pricing, simplifying fractions, and cross-multiplying"
"Today the student was feeling very uneasy about geometric and power series. He did not understand how to evaluate whether the series converged or diverged, and if they converged to what sum. He also was struggling with evaluating the interval of convergence and a function that represents the sum of the power series. By the end of the session, he felt more comfortable with the content and felt better prepared to try the homework assignment. In class they have moved on to Taylor polynomials, but he was very confident about the work for those problems. If necessary, we will spend more time working on power series next week."
"The student and I spent the first part of the session completing his homework which was to covert between decimals, fractions, and percent. He did well but made minor mistakes when simplifying fractions or dividing to change the fractions into decimals. He wrote 8% as .8 instead of .08. But, when I showed him it should be in the 100s place and not the 10s, he understood. We then completed a math puzzle on order of operations. He asked a few question but did well on the assignment. We spent the remainder of the session writing one step equations from word problems and solving them. The student got 6/8 correct. He made mistakes on the problems that required division. We will continue to work on this concept next session as well as two step equations from word problems."
"The student and I went over inverse functions, the relationship between inverse functions, logarithmic functions, exponential functions, and their derivatives and integrals (including using chain rule and u-substitution). We looked at practice problems from his notes, homework, and textbook and I also answered his questions in preparation for his test. Initially, he struggled a little with the inverse function problems but he seemed more comfortable by the end of the session"
"We went over his pre-algebra lesson of solving equations with two variables. We then moved on to a bit of a mixed review from past units. Ian struggled with that, so I'm going to start incorporating mixed review into our sessions every week. We also did a bit of practice for Core."
"During this session, I started preparing the student for Calculus 2 exam. I briefly reviewed derivatives and u-substitution for derivatives. The topics of interest for the exam that we covered today, included: indefinite integrals, definite integrals and u-substitution for integrals. I gave him about 8 examples on the topic, and had him do 4 problems on the topic u-substitution. He got 3 questions right, and the last 1 we left for our next session."
"The student and I started a new chapter on particle motion - relating position, velocity, and acceleration in order to calculate displacement and total distance traveled. We successfully worked through some of her homework. She already has a handle on the theory and the general procedures."
"The student and I decided to add a few extra sessions over the next few weeks to make sure he starts improving his current grade and catches up with the material and hopefully even gets ahead. We reviewed some advanced trig identities, including half angle, and double angle formulas. We also used these identities for solving equations, which is something that will be covered on his upcoming test. Finally, I assigned some homework for him to do before we meet again."
"The student and I continued exploring integrals and integration. We reviewed u substitution for situations involving 1/x and the natural logarithm ln(x) in both definite and indefinite integrals. We did practice problems that his teacher had assigned. We learned the new concepts behind separation of variables and solving simple differential equations with that methodology. We went through 10 or so initial value problems and solved corresponding differential equations."