Recent Tutoring Session Reviews
"The student and I worked on her school homework today. She had the majority of the assignment finished when we started and we only had to do a few questions and make a couple of corrections. Afterward, we were able to review a previous lesson. She memorized the formula and used it to successfully complete quite a few practice problems. We also reviewed some older material that the lesson was built upon (distance, midpoint, and slope formulas). Overall, good job!"
"The student is working on anti-differentiation and U-substitution. She has a strong grasp of the material. To make sure, she did a number of practice problems. For U-substitution, I am emphasizing that she follow a problem-solving strategy for each problem she encounters that will help keep straight which steps she needs to take to get to the solution."
"We went over Chapter 6.2 and the student's homework today, which included parallelograms and their properties: identical angles, identical sides, and supplementary angles. He reasoned everything out quickly once the concepts became clearer through practice. We then went over a quiz I created for him during our last session. This was beneficial because it reinforced the lessons, concepts and equations from our last session, which included naming polygons, and properties of interior and exterior angles. Overall, he was able to recall the information."
"The student worked on a trigonometry worksheet practice the class was given for homework. His application of sine, cosine and tangent to solve for reference angles, sides and lengths is very good in most situations now. Solving word problems, which need diagrams to be drawn in order to be able to calculate, is something that he and I will work further on, but he is excellent when using known methods."
"Last night we went over the student's trigonometry exam. He received a low grade and if he re-works the problems with explanations, he can receive half credit back. We went over the unit circle (why it's called 'unit', the angles in radians and degrees, what cosine and sine functions do, right triangles, how to get the values of sine and cosine from right triangles, etc.). I did this as a warm up to try to hammer down the fundamentals of trigonometry and make sure he has a firm grasp of these topics. They will return over and over throughout the year and to establish them now will save time later. As for his test, we went over how to determine sine, cosine, tangent, secant, etc. of a given angle. The angles were in different quadrants and sometimes they went more than once around the circle (larger than 2*pi). I explained how to work each problem slowly and tried to tie it in to as many different ways to solve as possible. We did not get through many problems (only about ten), but I used yesterday as a 'ground-level' refresher so we can move a little faster today. He has a great grasp of the subject so far, some things are a little disconnected and I think we made some progress in connecting those topics. I was surprised he knew exactly what it meant to rotate negatively (clockwise)! I am hoping by the end of tonight he is very familiar with the unit circle and can quickly draw the first quadrant and the main angles. I gave him some tricks on how we only need to memorize the first quadrant and the other three quadrants come from thinking about if x and y values are positive or negative. I think this is a HUGE step in making the subject less formidable. All in all this was a great session and he seems enthusiastic and intelligent on the subject. I am excited to work with him through trig and boost his confidence in mathematics."
"We continued with graphing trig functions, specifically tan functions, and determining if a function is odd, even, or neither. This included identifying the A, B, C values of a given equation (y=Atan(B(x-pi))+C), how each of the terms affects the appearance of the graph, and determining the new (x,y) and asymptotes. The student understands the concepts very well, though he sometimes works quickly through problems and makes mistakes. I have asked that he always check his answers during homework assignment to ensure he is getting the right answer and practice doing the unassigned odd problems, which the correct answer is listed in his book."