Recent Tutoring Session Reviews
"Today, we worked on more material from unit 13 on areas, perimeters, and volumes. We reviewed every section, and I asked her to redo some of the hardest problems, including the problems that tested conceptual knowledge. She was able to reproduce the correct answers most of the time, more quickly than yesterday. At first, she needed clarification when we reviewed surface area, but soon, she caught on to the concept, and we were able to move on to more difficult surface area problems. We talked about how to draw on the figure to identify sides that aren't visible, and how to count those sides. We looked at the box from the pantry again and visualized it as a 2-D on-paper rendering of a 3-D object -- which sides would be visible, and which sides would you have to imagine in order to count? We came up with a systematic way for the student to keep track of the areas of all the sides of a figure when she calculates surface area, and that worked very well for her. She likes being methodical, and when I ask her to write everything down, she will often generate her own unique system for showing her work -- I helped her make it neat and legible, and she did a good job of repeating that system over and over again for like problems. I think she has a good understanding now of surface area - we kept returning to it, after going over other sections within topic 13."
"Review for final on May 5th. Reviewed derivatives, logarithmic and exponential functions. Integrating functions using u substitution."
"In our session, the student and I covered the law of sines and how to solve any triangle. She was good at solving the problems once she knew it was the ambiguous case, but recognizing that it was that type of problem was the hardest part for her. We also covered finding the area of a triangle. She practiced using the new formulas and had no problem applying them. The only tricky part for her was that in the ambiguous case we previously discussed, you also have to solve for two potential areas. She correctly applied this to a couple of practice problems. At the end of our session, we moved to chemistry and talked about thermochemistry and the applications of the formula q=mcdeltaT. The only difficulty she had with this was that she didn't make the q negative if the system was losing heat. She had to re-do some of her worksheet problems because of this. I think she understands it really well now! She also told me that she got a 95% on her last math test and 100% on her last chemistry test!"
"The student and I were reviewing together one final time before her final exam. She had finished all the review packets and had several topics that she wanted to focus on. During this, I also reviewed inverse and exponential functions. We also went over transformations and translations. We went over the specific problems she had in her packet and also the general graph for a few different functions. This should help her transform functions on her exam. We also reviewed the rules for roots, multiplying powers, and simplifying rational expressions. We spent the final part of our session reviewing conics and the standard equations for different kinds. I suggested some topics that she review a bit more before our exam. She said that she felt prepared for her exam."
"The student worked on addition and subtraction problems that I created. She corrected the ones she got wrong."
"Continued discussing volume of revolution problems, focusing on using the shell method and determining when it is most appropriate to use which method."