Recent Tutoring Session Reviews
"The student and I discussed a plan about going forward to supplement her lectures with online resources, and how we would organize material to go over in our sessions. At the end of the session we reviewed trigonometry with unit circles."
"We reviewed the student's test on Tuesday. The test is on the common trigonometric identities (Pythagorean, sum, difference, product, double and half). The material covers showing relations hold using the identities and find the exact value of trig functions using the identities."
"The student felt confident about the first half of her test that she took on Friday. In preparation of the second half of her test, we revisited some old problems on inverse trig functions that I had helped her with."
"We worked on the SAT practice problems. The student began by asking some questions about the right triangles and Pythagorean Theorem. I selected problems on that topic for him to practice. I refreshed his memory by letting him writing down the Pythagorean Equation a^2 + b^2 = c^2. When two of the unknowns (a, b, c) are given, we can solve the third one by substitution and methods of solving equations. I emphasized that when he made a substitution, he MUST have this in his mind: ( )^2 + ( )^2 = ( )^2. I asked him to write the parenthesis first, in order to make sure that he carries the procedure correctly. It may take 30 seconds for him to write down the substitution, but that takes more than 30 seconds for him to check for errors if he doesn't write out this step but realize something is wrong later. I trained his carefulness and watched him do several problems on this. He got much better at the end. I introduced a problem-solving technology--set x for one unknown, write the other unknown in terms of x, and finally solve equations, on the Pythagorean Theorem problems, when he is given one side and the relationships of the two other sides. He got much better at the end. Then we moved to coordinate geometry. I introduced him the Midpoint Formula of the two points (averaging the x and y values) and the Distance Formula of the two points (take the square root of the sum of the squares of change in x and change in y). Before I taught him this, he was a little confused, but he strengthened his understanding much better after that. This is a crucial part on coordinate geometry. I also reviewed the rules of exponents for him because in the past sessions, I still saw that he was confused by this. I made him write down these rules so he could refer to them in the future. Then I gave him some problems on this topics and he gradually improved his understanding in this topic. Overall, his skills have improved because I always ask him to write down all the steps--again, it may take 30 seconds, but making a mistake and checking it again takes way more than 30 seconds."
"This was my first session with the student. Her Pre-Calc class is going over stuff related to polar coordinates, vectors, and physics."
"The student and I worked on a review guide for a test she will be having tomorrow. We covered topics such as writing equations in rectangular form and generating equations from given parameters. We also worked on a word problem that required her to evaluate graphs generated by parameters and interpret its xy table. Lastly, we discussed partial fraction decomposition. This was the topic that the student struggled the most with, but definitely had a better grasp of the concept once we were finished. The student was a pleasure to work with and very cooperative and adaptable during our session. The student has a few other practice problems to finish on her review regarding partial fraction decomposition."