Recent Tutoring Session Reviews
"We discussed equations and calculations for perimeter, area, circumference, arc length, distance of an line segment, midpoint and slope. The student seemed to quickly pick up on the presented topics and stated that he felt the topics were better understood during the tutoring session."
"We went over undefined terms in Geometry, properties of real numbers, lines and segments, midpoints and bisectors, rays and angles, and triangles."
"Today was my first session with the student. Her father and I spoke a little before the session started and he pointed out that math was the only class in which she did not receive and A. He said that their goal was to get her ready for the geometry class she will be in when school starts again this fall. They want make sure she hits the ground running and starts off strong. I was curious to see where the student was at with her algebra before we began talking about geometry. I brought an algebra book with me and picked several random problems for her to try. The last few were rational expressions, an advanced algebraic concept for algebra 1 students. She breezed through every problem with ease. This was very good news. Moving forward, we can focus less on strengthening her algebra skills and more on geometry. We will still do algebra problems, but it will be more for the purpose of keeping techniques fresh in her memory. Her conceptual understanding of algebra is strong. I started out by going over the basic definitions that will be covered in the first three weeks of the course. I introduced the ray, line, segment, plane, point, parallel and perpendicular lines, etc. I then taught her how to solve 30-60-90 and 45-45-90 triangles. I had her solve several of these triangles. She picked it up quickly. I then delved into the concept of surface area and had her find the surface area of a rectangular prism and a cylinder. She was able to do them with help which is to be expected as she hasn't seen these problems before."
"I went over all of the student's introductory geometry work. I first helped him understand how to use the midpoint and distance formulas and intuitive ways of thinking about them, then we went over angle properties. The remainder of the session was spent going over geometry word problems and how to determine what geometric facts needed to be written in algebraic form in order to solve the problems."
"The student has a geometry test on triangle congruencies tomorrow. We reviewed and did practice for the test. She definitely knows her theorems and does well applying them. She was able to complete proofs accurately and name congruent triangles appropriately. She struggled a bit with solving for x, when she had to create the equations, but we practiced a number of them, and by the end, she was doing quite well and solving these problems without issue. She should do well on her test."
"We reviewed the meaning of proofs and looked at the parallel lines diagram to review some postulates. Afterwards, I discussed theorems that prove that two triangles are congruent. I introduced the notations on the figures and wrote them down as sample proofs as we learned them. She was able to notice the trend of the theorems as I asked her. I wanted to challenge her to try to make the connections. She tried most of the time and seemed surprised when she was right. I'm working with her to increase her confidence in the material. After going through the postulates and theorems, we went over some sample problems that her teacher handed out. I was happy that by the time our session was over, she said she'd be able to finish it up on her own. I can tell that she is not used to studying math as opposed to her other classes. I feel like the more I encourage her to study the material by writing out lists or making flashcards that she will get a better grasp of the material."