Recent Tutoring Session Reviews
"For this session, the student and I focused on practicing the trigonometry of right triangles. He mentioned that his class just started working on solving missing sides and angles of right triangles using sin, cosine, and tangent functions. We first focused on defining what all three functions were and how to derive them from the Pythagorean theorem. We then practiced different problems of finding the missing sides using the inverse of each function as well as using the law of sines. He displayed good knowledge of the material and most of the practice problems. We will continue to do more difficult problems as they go further with the material."
"This session was split into two parts and we met both Monday and Tuesday. We covered the topics of area and volumes of 3dimensional shapes. It was a pretty smooth session, as always. I had him review the formulas for each until he could repeat them back at me, and then tested his knowledge of their use by giving sample problems in increasing difficulty."
"The student has a test this Tuesday on similar polygons and scale factors. We spent the session reviewing practice problems he was given as a practice test for the class. He did very well setting up proportions for similar polygons to solve the shapes. Some of the difficult problems consisted of similar triangles with the smaller triangle inside the larger triangle. The diagrams made it difficult to see the corresponding sides, so we discussed the strategy of redrawing the shapes separately. We were able to do one problem reviewing scale factors, and the student will continue to study on his own for his exam."
"I assisted the student with his geometry homework, which consisted of finding angles composed of secants, tangents and interior angles based on measurements of arcs. He did well when I told him what formulas to use. I reviewed the formulas with him and asked him to tell me how to solve some of the problems; we had some success - he was able to answer some questions on his own - but he also still struggled a bit. I think that more practice and familiarity with the concepts will help; this was just his first time going over these concepts."
"We reviewed similar shapes and proportions, dilation, how to determine similarity, definitions of previous materials like triangles (isosceles and equilateral), angles (supplementary, vertical, corresponding, alternate interior, alternate exterior) and proofs and theorems. We went over homework and multiple choice problem strategies (process of elimination and reviewing all answer choices). The student needs to go over definitions."
"The student's geometry assessment exam was Tuesday, and he says he has been doing geometry practice problems at home, so we went through the first two sections of an exam together. He was able to move more quickly through the material than during our first lessons, so that's a sign that he is getting more fluent in general at exam geometry. Most of the topics we covered had to do with coordinate grids, including finding the 1/3 divisions in a segment between two points, parallelograms, rhombi, tangent lines, reflections over points, finding the perimeter of a triangle, and calculating the area and circumference of circles. He was focused throughout and indicated that he understood these concepts. Most important now is that he got a good night sleep and ate a healthy breakfast before the exam. During our next lesson, we will move back into physics. He said that he will prepare at least the first half of the study schedule practice chapters, and we'll address any questions that he has about them. If he has any difficulties he can email me anytime."