Recent Tutoring Session Reviews
"During this session, we focused on introducing parametric equations. The student had just started this subject in class, so we started with a quick overview of the topic before starting on the class homework. We worked on parametrization of equations, as well as translating from a parametric equation back to the x/y form. We also discussed why parametric equations are useful outside of the pre-calculus classroom. At the end of the session, we reviewed the session's topics by doing a quick, informal quiz."
"The student was having trouble with the new topic her class was covering; parametric equations. So we spent time going over the concepts as well as her in class examples. One particular issue she had was with expressing intervals, so I went over some basic techniques for double checking her work when she was dealing with domain and range questions. I then had her work some problems from her textbook. She needs more practice with them to get the process down, but she had grasped the concept fairly well by the time I left. We also went over a number of topics that she had questions on from earlier in the semester. I discussed each of them with her until she no longer had questions. She was very enthusiastic any time she finally got something that had been giving her problems."
"Today we covered complex numbers for most of the time and worked on some AP math at the end. The student has a good understanding of what a complex number is, which usually gives students a lot of problems. She was doing well with the basic problems, so we focused on the more difficult problems. Overall, I don't have many notes to add about this topic. By the end, she was doing them fully automated without any help. In future sessions we can work on keeping all of those equations straight. For the state test, we worked through a couple sheets to practice. She showed impressive critical thinking while working through these problems. She would stop and think about how some inconsistencies in the problem didn't make sense, and then would say what she thinks it should be."
"The student had 2 lessons to work on this week - piecewise functions and compound interest problems. She was initially not very familiar with either concept, but with a couple of quick lessons, she was able to pick right up on it. Meeting weekly has been very good for keeping on top of her work, as she does not have to wait until she is behind to get help."
"We worked on application problems about relative changing rates. I advised the student to first find the relation or formula regarding the problem story, such as spherical volume in terms of radius or circular area in terms of radius. From there, we can find the association of changing rates. We also found min and max of functions over an interval."
"Tonight the student worked through her assignment covering polar coordinates. The problems primarily involved converting between polar and rectangular and understanding Pythagorean theorem to arrive at the fundamental formulas needed to perform the conversions. A few of the problems asked her to write several forms of the polar coordinates between -2pi and 2pi, and I worked through several of these with her so she understood what a negative radius value meant or a negative theta value, and how she could arrive at the same point on a coordinate system several ways by changing these values."