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Prerequisite
To fully benefit from this course, we recommend that students have already completed the introductory level course in geometry (e.g., AoPS Introduction to Geometry). Basic trigonometry knowledge is highly recommended. We will delve deeper into the contents of most chapters in AoPS Introduction to Geometry book to meet the standard of median to hard geometry questions found in AMC 10/12 and AIME exams.
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Recommended Textbook and Course Materials
Lecture notes, Awesomemath 106, AoPS Precalculus, and past AMC 10/12 and AIME tests
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Targeted Level of Difficulty
Geometry is one of the most important topics in AIME as well as AMC 10/12 exams. On average, each AIME test comprises 4-5 questions related to geometry. This course will review and establish connections between topics covered in the AoPS Introduction to Geometry. In addition, students will extensively study trigonometry including graphs, trigonometric identities, the Law of Sines, the Law of Cosines, and their applications in AMC 10/12 and AIME exams. The difficulty level of this course is comparable to that of problems 18-25 in AMC 10/12, and problems 1-12 in AIME.