Course Syllabus
Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more.
Book: Introduction to Geometry, the Art of Problem Solving, by Richard Rusczyk
Time Commitment: This 24 course includes 1.5 in-class hours and 2-3 hours of homework each class, corresponding to a full-year course.
Graphic Tool: GeoGebra, https://www.geogebra.org/geometry
Content:
| Class | Topic |
| 1 | Angles |
| 2 | Triangle Angles and Congruent Triangles |
| 3 | Isosceles & Equilateral Triangles, Perimeter, and Area |
| 4 | Similar Triangles |
| 5 | Similar Triangles and Right Triangles |
| 6 | More Right Triangles! |
| 7 | Special Parts of a Triangle |
| 8 | Special Parts of a Triangle, Continued! |
| 9 | Quadrilaterals |
| 10 | More Quadrilaterals |
| 11 | Polygons |
| 12 | Geometric Inequalities |
| 13 | Introduction to Circles |
| 14 | Circles and Angles |
| 15 | Tangents |
| 16 | Power of a Point |
| 17 | 3D Geometry Part 1 |
| 18 | 3D Geometry Part 2 |
| 19 | Transformations |
| 20 | Analytic Geometry |
| 21 | More Analytic Geometry |
| 22 | Basic Trigonometry |
| 23 | Problems! |
| 24 | More Problems! |