Recent Tutoring Session Reviews
"Tonight we worked on angles of elevation and angles of depression. She had a worksheet with word problems and then another 10 or so word problems from the book. The student knows the concepts and can work through the word problems that are straight forward (with a diagram drawn). The more challenging thing for her was when she had to draw the diagram herself. The other type of problem that was a little more difficult were ones that use information from two triangles (for example, the angle of elevation from the person to the top of the mountain, which is 100 m tall, is 10 degrees, if the person steps back, what is the angle of elevation). There were a couple of each of these types of problems, and by the end of the session, she was much more comfortable with how to set them up and solve for different things. She feels that this is easier than some of the other concepts."
"We focused on classifying quadrilaterals. His teacher had a wonderful handout that summarizes the way to prove the types of quadrilaterals and the order in which to proceed with the proof. I told the student to memorize that handout, because it would help him immensely."
"The student and I spent our time going over quadrilaterals, and other polygons. We worked on how to find the interior and exterior angles of all polygons, and we worked on the different aspects of quadrilaterals that are helpful in finding angles and length of sides."
"The student had a test on Tuesday and Wednesday, so we reviewed all material for the test. He knows the material very well; proofs he is particularly strong on!"
"In our session today, the student and I began to cover similar triangles in Chapter 7.3 of his geometry class. We reviewed the chapter and learned about how to prove similarity between triangles with the Angle-Angle, Side-Angle-Side, and Side-Side-Side Postulates, then applied these ideas to four practice problems where he correctly identified which postulate to use. We then worked through the idea of finding congruent angles to use in SAS and AA and how to do proportions for the sides to see if the triangles were similar. After reviewing the principles, he went on to do 4 further problems where he used similarity principles to solve for the value of an unknown based off proportionate sides. He did a great job with these problems and his mental math abilities have improved greatly from when we first started working together. Additionally, he noted that he submitted his biology project we completed yesterday, and his US History assignment due on Friday."
"We covered bisector lines, quadrilaterals and 3D shapes as part of the student's review for his final exam. He's doing well, and just needs more familiarization on the theorem so he can do proving more easily."