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## Session Summaries by Geometry Tutors

We discussed the three main trigonometric functions, and related the three of them to their physical meanings. I demonstrated to the student how tangent derives from sine and cosine. She practiced solving triangles using the basic trigonometric functions. We also covered area of arc sector and arc segment of a circle. I emphasized strategies for success: write everything down, break down problems to simple steps, and do what you know. She seemed to grasp the concepts when shown visual methods, and seems to grasp the necessity for writing everything down.
We finished learning the basics of proofs and started going over lines and planes. The student needs to work on showing all of his work for each problem he does. He likes to do a lot of mental math which leads to small mistakes. I gave him homework problems to complete from the textbook.
We finished up the student's geometry practice problems assigned to him by his teacher. The section we worked on today focused on using proportions with two similar triangles to find a missing side.
We finished up the work from yesterday and discussed how story builds on themes. The student is going to keep working on English. The remainder of the assignments deal with a final paper, so he will be getting a start on that. It was a good session.
We finished working on secants and angles of circles; the student might need to restudy them, but he should be fine. He did really well on the equations of circles though, when he got the hang of them. He learned quickly about how to manipulate them as well.
We focused on circles, inscribed angles, and central angles, and we worked on a challenging figure that the student did very well on. She will have a very good general knowledge of geometry and hopefully won't be bored in her future class.