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"The student and I focused on geometry concepts today, specifically plane geometry, as that seems to be her weakest link for the upcoming SAT exam. She has a strong background in algebra and seems to be comfortable with solving algebra problems. She is also comfortable with the other major math section of the SAT, which is data analysis (probability, mean, median, modus, interest rates, percent problems). We reviewed many concepts today, but mostly focused on circles and their properties. We mainly went over how to manipulate and work with various properties of a circle, doing multiple practice problems to illustrate certain concepts. We went over sectors of a circle, and how to set up proportions and ratios in order to find certain properties of a circle or a sector. We learned Pythagorean triples and how to apply them in geometry problems. We also reviewed the properties of a parallelograms and the properties of different types of parallelograms, including rhombuses, squares, and rectangles. Some of the problems included working with diagonals, areas, inscribed triangles or squares, arcs, and more. The student is very comfortable with the formulas used in geometry, but sometimes has trouble applying those formulas in a large, comprehensive geometry problem, so we did a lot of work with difficult, multi-step problems so that she is more confident with how to approach these types of problems step by step in order to solve them. We also worked on test-taking strategies, and how to partition large problems into smaller portions that are doable and easy to solve. She is improving very rapidly and does not need much review. Next time we will be delving into solid geometry and looking at cones, spheres, cubes and pyramids.
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