Recent Tutoring Session Reviews
"Today, the student and I discussed distance formula, midpoint formula, equations of circles, and intersections of circles with lines. He provided a worksheet his teacher gave him, and we used that to reintroduce the necessary formulas to solve these equations and review material. After being shown the steps for each of these formulas, he seemed comfortable in using them to solve problems. We covered one type of each problem given on the worksheet."
"The student and I started looking through the review chapter of a calculus text book to get an idea of which pre-calculus topics she has seen before and which she needs to go over more thoroughly. We focused mostly on functions and combining them. We talked about some specific types of functions such as power functions, exponential functions, trigonometric functions, and inverse functions. We touched on logarithms and how they are the inverse functions of exponentials and the differences between exponential functions and power functions."
"The student and I reviewed material for his the next day. We spent most of the session practicing the different types of polar equations and their graphs, such as limacons, lemniscates, cardioids, and roses. The hardest part was determining the lengths of particular parts of the graphs, such as the length of the smaller axis, larger axis, and length of the loop. We talked about different equations that can be used to determine these lengths. Also, we talked about using different values of sine and cosine (especially -1,0, and 1) in order to obtain the most extreme values of the radius. He is able how to graph and determine the basic shapes from the equation when referring to the equations, so once he is able to memorize some of the equations, he should be prepared. He said that he would continue studying a little tonight and tomorrow."
"We went over arithmetic and geometric sequences and sums in preparation for the student's upcoming test on Wednesday. I walked him through a number of practice problems, which focused on finding a particular term in a given sequence."
"Today, the student and I worked on simplifying algebraic expressions, while multiplying or dividing. We also worked on simplifying rational expressions by addition or subtraction, solving rational equations and verifying the solutions, long division, functions, addition, subtraction, multiplication and composition of two functions and its effect on the resulting domain."
"We continued working through the review questions and also went over some more problems from the last exam. The student had worked through the entire review sheet on her own (some as classwork) and had specific questions on problems she didn't understand. Having gone over it, she now feels a little more confident about the material and sees how to solve the problems. I'm seeing a lot of progress; she's gained confidence and ability throughout our sessions which is reflected by improved grades."