Recent Tutoring Session Reviews
"Todays session was used to prepare for the student's test tomorrow which is on the Pythagorean theorem. We went over the topic in great detail starting with the basic formula of a^2 + b^2 = c^2. We worked on 3 worksheets in order to help the student better understand the topic. We also practiced finding the area of triangles, squares, and trapezoids. In addition, we did an extra credit pretest problem based on finding current lengths of a complex triangle shaped structure and the area of it."
"The student and I went through a worksheet on equations of circles and parabolas to review for his test the next day. He seemed to understand the concepts really well, and was able to solve most problems on the worksheet without much assistance."
"Today we reviewed a packet that the student had turned in. He pointed out that he had difficulty with the material, and did not know some of the concepts because he recently moved to the United States. As we went through the packet, it was clear that the student was not used to some of the material. However, once I explained some concepts to him, he was immediately successful. He has proved to be very bright, and is learning quickly."
"The student received a 97 on his most recent test! He raised his quarter average by 9 points! Our one-on-one sessions are really helping him understand geometry at a more conceptual level. Today, we reviewed sections 11.4 and 11.5. Remember: there's always a 1/2 multiplier, and angles inside = +, outside = -. We will begin on Thursday to review for his test next week."
"We worked on his math problem set in preparation for his quiz on Tuesday. We worked on regular polygons. We talked about calculating the central angle by dividing the 360 by the number of sides, and calculating the area using the formula A=1/2 a*p, which we could calculate using triangles. When we had finished, I quizzed him on his Spanish vocab words, then we talked about the plan for his short story, which is due Friday."
"The student and I went over simplifying radical expressions, finding information about quadratic functions (axis of symmetry, x intercepts, shape, max/min, vertex, range, domain), and we went over questions from one of her old exams. She and I will continue to prepare for her state test. She needs a vocabulary list to help with understanding the mathematical terms."
"We went over a variety of problems involving the connection between circles and regular polygons when integrated into a single diagram. This was a review and application of the skills we developed in an earlier session, so we also reinforced those techniques."
"We discussed his grade in the class and he assured me that a number of grades/assignments (standards) were not in yet and that he would no longer be failing thereafter. We worked on some of these standards: the Pythagorean theorem, altitudes on hypotenuse, and the angle bisector."
"This session we went over the last section on her test which was about using formulas to find the area of a segment and the length of an arch. We also practiced more trigonometry and she understands the examples I give her (which is a GREAT improvement). Overall, a great session that started with her saying that she thought this section was hard and ended up with a very clear understanding of the content."
"He has an upcoming test so we continued to review for that. We went over more trigonometry questions, often involving real world applications where you tend to solve for either the angle of a right triangle created in the problem or the lengths of one of the triangle's sides. I illustrated that even though solving each problem seems different, they are all just three variations of the same thing which begins by writing a true equation using a trig identity. Lastly, we did some review questions that he was given by his teacher that were multiple choice. We looked at some slightly harder versions of the application problems we looked at from before."
"We reviewed for the student's geometry test tomorrow, which will cover the surface area and volume of different solids. The most difficult part for him was correctly applying the formulas for surface area of spheres as well as the lateral area of cylinders. He also found composite solids challenging, especially those involving hemispheres that are either removed or added to different solids. We will continue to focus on these challenges in the future."
"This session was a "brush-up" for the student's exam. I was proud to see a drastic improvement in her understanding of the material within just two to three days. This time she started the review packet prior to her teacher explaining the problems in class. I think this was good because she was able to see where she made certain mistakes. And she was able to see in real time how to correct them. This proactive approach of solving problems, whether she gets them correct or not, is helpful in retention. Throughout the session, she was able to independently solve a good portion of the problems. In areas where she got stuck, I reinforced concepts, and she directly applied them. Overall, I saw tremendous growth during these two sessions, especially for a math section that involved a lot of content and depth of understanding."