This schedule may be modified during the semester.
NEW SCHEDULE
Session | Date | Topic | Textbook Section |
UNIT 2: 3D EUCLIDEAN GEOMETRY | |||
16 | 3/24 | Lines and planes | K2 Ch 1 |
17 | 3/26 | Parallelepipeds and pyramids & Volumes of prisms and pyramids | K2 2.1 & 2.2 |
18 | 4/2 | Cylinders and cones & the ball | K2 3.1 & 3.2 |
19 | 4/7 | Similarity of polyhedra & Symmetries of space figures | K2 2.3 & 2.4 |
20 | 4/9 | Regular polyhedra | K2 2.5 |
21 | 4/21 | Platonic Solids | K2 2.5 |
22 | 4/23 | (Buffer in case we need more time) | |
23 | 4/28 | IN-CLASS TEST 2 | |
UNIT 3: THEOREMS IN ADVANCED 2D EUCLIDEAN GEOMETRY AND NON-EUCLIDEAN GEOMETRY (STUDENT PRESENTATIONS) | |||
24 | 4/30 | Presentations 1 & 2 | TBA |
25 | 5/5 | Presentations 3 & 4 | TBA |
26 | 5/7 | Presentations 5 & 6 | TBA |
27 | 5/12 | Presentations 7 & 8 | TBA |
28 | 5/14 | Presentations 9 & 10 | TBA |
29 | 5/19 | Review | |
30 | 5/21 | FINAL EXAM |
ORIGINAL SCHEDULE
Session | Date | Topic | Textbook Section |
UNIT 1: ELEMENTARY 2D EUCLIDEAN GEOMETRY | |||
1 | 1/27 | Measurement and congruence, angles | V 0.1. V 0.2 & K1 1.1 |
2 | 2/3 | Triangles and congruence, exterior angle theorem | V 0.3 & V 0.5 |
3 | 2/5 | Perpendicular lines and parallel lines | V 0.6 |
4 | 2/10 | Similar Triangles | V 0.8 |
5 | 2/18 | Quadrilaterals | V 0.9 |
6 | 2/19 | Polygons | K1 1.4 |
7 | 2/24 | Circles and inscribed angles | V 0.10 |
8 | 2/26 | Basic constructions | K1 1.10, 1.14, & 2.5, and www.euclidthegame.com |
9 | 3/3 | Transformations in the coordinate plane | Supplementary material |
10 | 3/5 | Conic Sections | Supplementary material |
11 | 3/6 | EXAM 1 | |
UNIT 2: THEOREMS IN ADVANCED 2D EUCLIDEAN GEOMETRY (STUDENT PRESENTATIONS) | |||
12 | 3/10 | 1. The Classical Triangle Centers 2. Circumscribed, Inscribed, and Escribed Circles | 1. V 2 2. V 4 |
13 | 3/12 | 1. The Medial and Orthic Triangles 2. The Nine-Point Circle | 1. V 5 2. V 7 |
14 | 3/17 | 1. Ceva’s Theorem 2. tba | 1. V 8 2. tba |
15 | 3/19 | 1. Theorem of Menelaus 2. Applications of the Theorem of Menelaus (Desargue’s Theorem) | 1. V 9 2. V 11 (11.2) |
16 | 3/24 | EXAM 2 | |
UNIT 3: HIGHER-DIMENSIONAL EUCLIDEAN GEOMETRY | |||
17 | 3/26 | Lines and planes | K2 Ch 1 |
18 | 4/2 | Parallelepipeds and pyramids & Volumes of prisms and pyramids | K2 2.1 & 2.2 |
19 | 4/7 | Cylinders and cones & the ball | K2 3.1 & 3.2 |
20 | 4/9 | Similarity of polyhedra & Symmetries of space figures | K2 2.3 & 2.4 |
21 | 4/21 | Regular polyhedra | K2 2.5 |
22 | 4/23 | Platonic Solids | K2 2.5 |
23 | 4/28 | EXAM 3 | |
UNIT 4: NON-EUCLIDEAN GEOMETRY | |||
24 | 4/30 | Introduction to “Not” Euclidean Geometry – Projective Geometry | Supplementary material |
25 | 5/5 | Introduction to Non-Euclidean Geometry – Spherical Geometry | Supplementary material |
26 | 5/7 | Introduction to Non-Euclidean Geometry – Hyperbolic Geometry | Supplementary material |
27 | 5/12 | Inversions in Circles | V 13 |
28 | 5/14 | The Poincaré Disk Model | V 14 |
29 | 5/19 | Review | |
30 | 5/21 | FINAL EXAM |
Last day to withdraw officially from the course: Tuesday, April 1
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