Recent Tutoring Session Reviews
"The student brought with him a set of student-generated problems which his instructor passed out for solution. These were multi-step geometric puzzles requiring, for example, the solution of an area of a kite beginning with information from a trapezoid at the opposite end of a figure. Involved were rules of sines and cosines and all the other rules of geometry up to now."
" During our session we went over volume of cones and pyramids. We reviewed her homework problems and went over terminology that will be covered in her next section...including chord and tangent. Then we covered the volume and surface area of spheres. I noticed that while working problems she tends to do several steps in her head which tends to make her miss a step. This is something we will work on in the next session."
"The student has a geometry test to make up on solids (prisms, cylinders, pyramids, cones, and spheres). We created flash cards and worked through the entire online practice test for the chapter together, on which he scored 19/20. I advised him to drill with the cards for the rest of the evening."
"Good session. We covered formulas for surface area and volume of cones and spheres and did some review of SA and Vol for prisms. The biggest progress was in identifying shortcuts for formulas (where one part of a composite shape is a hemisphere, the additional surface area is simply (pi)r-squared). Concerns: He still has a bit of trouble remembering what to add and subtract with composite shapes, and his ability with formulas sometimes does not extend to conceptual understanding (why the formulas work, e.g., why the surface area of a right prism is 2wl + h(2l+2w)). Progress: He is more consistently including pi and the units (or units squared or cubed) when necessary. He is also getting more intuitive with shortcuts. And he did well on the presidents quiz (estimated score over 100%). Need: a good scientific/mathematic calculator (one that can do cubed roots, etc)."
"The student had review sheets for his upcoming Geometry test on Trigonometry basics. We worked through each of the problems starting with radian/degree conversion to applications of trig functions. During the session he was rushing through a few problems and I had to remind him to take his time and really think through his work. When he slowed down to capture his work on paper he was quick to catch his own mistakes. Before his test, I advised the student to really commit his unit circle diagram to memory and make sure he understands the key reference angles and their trigonometric functions. Stressed that he continue to not rush through his work and carefully consider each step for test day."
"We covered surface area and volume of regular pyramids and cones. The student began understanding the Pythagorean theorem better but still needs practice. The student remembered and understood the material from the previous week with little reminder."