Geometry

This comprehensive Geometry course offers a dual perspective on the subject, exploring it through classical and modern approaches. Students will delve into the work of Euclid, Greek Geometry, and the historical merger of Geometry with Algebra. The course covers a wide range of topics, including angles, triangles, polygons, circles, area and volume, coordinate geometry, and trigonometry. Students will engage in logical and spatial reasoning, problem-solving, and hands-on activities, culminating in portfolio projects that apply mathematical concepts to real-world situations. The course incorportates test preparation for the SAT Geometry section and exposure to competition-level problems. It is designed to be completed over a year, meeting less frequently than daily.

This course is uniquely taught through a Socratic-style discussion method, where students actively participate in uncovering new mathematical truths. The learning process emphasizes independent understanding, with homework and assessments designed to foster independent mastery. To enroll, students should possess a strong foundation in Algebra 1 and, optionally, a Logic course.