Recent Tutoring Session Reviews
"We discussed the student's 9.4 practice as well as his unit 9 review. He was particularly confident with questions of angle size and sectional area. However, he found it difficult to apply concepts in unusual settings, e.g., a question where four semicircles originating from the vertices of a square intersect in its center. This question involved applying the same concepts of sectional areas, but he did not immediately see how it applied. I gave him tiny pushes in the right direction, and he eventually noticed the relationship and quickly solved the problem from there. He also was prone to taking more steps than necessary in relating areas of sectors to their arc lengths, often forgetting the power of ratios in revealing solutions to such problems; I pointed out a few places where attention to ratios would have revealed solutions more quickly. Questions of translating and dilating circles were trivially easy for the student. He knew exactly what he was supposed to be doing. Conversion between radians and degrees was also trivial for the student. Our final challenge involved a little trigonometry. I found that some of his trigonometry was a little rusty so I walked him through the generation of some useful equations by which he was able to solve the problem. I provide that encouragement by laughing when the student asks to skip a problem, and then reminding him that making his brain do work is good for him."
"We reviewed for the student's test tomorrow by completing a chapter review worksheet. The problems involved 2-column proofs, perimeters and areas of different types of quadrilaterals, binomial "FOILing", and multiplying polynomials."
"We worked on solving special right triangles using 45-45-90 and 30-60-90 relationships. We also looked at Pythagorean triples. I left her a booklet of sample problems dealing with these situations along with a practice test. Session went very well."
"We worked on previous sections where the student seemed to be having difficulties based off of the answers on her past quizzes. We also set up a homework and study plan to maximize the student's learning and use our time efficiently. Lastly, we discussed analytical proofs and using constructions to prove them (i.e. drawing an extra line), etc."
"- The student and I worked on volume and surface area of cones, pyramids, triangular prism, rectangular prism, cubes, etc. - We went over scale factor ratios and ratio of volumes with scale factors."
"The student was introduced to Special Right Triangles this week in class. At the beginning of the session she had difficulty with the material. To build her understanding, we discussed principles that she already knew that applied to the material (example: angles of a triangle add up to 180 degrees). By the end of the session, she was more comfortable with the material."