This schedule may be modified during the semester.
| Lesson | Topic | Textbook sections |
| UNIT 1: ELEMENTARY 2D EUCLIDEAN GEOMETRY | ||
| 1 | Measurement and congruence & Angle addition | V 0.1, 0.2, and K1 1.1 |
| 2 | Triangles and triangle congruence conditions & similar triangles & The exterior angle theorem | V 0.3, 0.8, 0.5 and K1. 1.4, 1.5, 1.6, 1.7, 1.8, 3.1, 3.2 |
| 3 | Perpendicular lines and parallel lines | V 0.6 and K1 1.2, 1.11 |
| 4 | Area & Pythagorean theorem | V 0.11 and K1 5.1, 5.3, 5.4, 5.5 |
| 5 | Quadrilaterals & polygons | V 0.9 and K1 1.12, 1.13, 3.3 |
| 6 | Circles and inscribed angles | V 0.10, 4.1, 4.2, 4.3 and K1 2.2, 2.4, 2.6 |
| 7 | Basic constructions | K1 1.10, 1.14, 2.5, and www.euclidthegame.com |
| 8 | Transformations in the coordinate plane | Supplementary material |
| UNIT 2: THEOREMS IN ADVANCED 2D EUCLIDEAN GEOMETRY (Student presentations) | ||
| 9 | The Classical Triangle Centers | V 2.1 to 2.5 |
| 10 | Circumscribed, Inscribed, and Escribed Circles | V 4.1 to 4.5 |
| 11 | The Medial and Orthic Triangles | V 5.1 to 5.4 |
| 12 | The Nine-Point Circle | V 7.1 to 7.3 |
| 13 | Ceva’s Theorem | V 8.1 to 8.6 |
| 14 | Theorem of Menelaus | V 9.1 to 9.2 |
| UNIT 3: 3D EUCLIDEAN GEOMETRY | ||
| 15 | Lines and planes | K2 Ch 1 |
| 16 | Parallelepipeds and pyramids & Volumes of prisms and pyramids | K2 2.1 & 2.2 |
| 17 | Similarity of polyhedra & Symmetries of space figures | K2 2.3 & 2.4 |
| 18 | Regular polyhedra | K2 2.5 |
| 19 | Cylinders and cones & the ball | K2 3.1 & 3.2 |
| 20 | Conic sections | Supplementary material |
| UNIT 4: NON-EUCLIDEAN GEOMETRY | ||
| 21 | Introduction and foundations | K2 4.3 |
| 22 | Spherical geometry | K2 4.4 |
| 23 | Models of the hyperbolic plane: Klein and Minkowski | K2 4.4 |
| 24 | Inversion in circles & Models of the hyperbolic plane: Poincaré disk and upper-half plane | V 13.1, 13.2, 14.1 to 14.6 |
| UNIT 5: GEOMETRY OF THE COMPLEX PLANE | ||
| 25 | Review of complex arithmetic & Stereographic projection & Riemann sphere | H 1.7 to 1.10, 3.1 |
| 26 | Möbius transformations & symmetry | H 3.2 to 3.4 |
