This is be the home page for Math 445, Winter 2006, Geometry for Teachers

Instructor: James King

TA: Venky Krishnan

Reference Pages

• Lines and Planes Reference
• Polyhedra Reference Page
• Orthogonal Circle Page
• Sphere Page
• Hyperbolic Page

Class Work -Assignments - Tests

Section 1: Polyhedra (with a special emphasis on cubes and their symmetries)

Reading sources: See Reference pages above on Lines and Planes and on Polyhedra

• In-Class Problems Friday 1/13 (turn in as group assignment due Wed 1/18)
• Individual assignment due 1/18
• Cube rotation extra credit: Tell the number of rotations of a cube and give an explanation. Due Monday 1/23
• Polyhedral Question Assignment - Some due ASAP and some due Wed 1/25
• Materials Assignment and Prep for Friday 1/27 Class

  Test Questions: This link to polyhedra questions goes to questions that are both the topic for class Monday 1/30 but also from which the questions on the test will be taken.

Section 2: Orthogonal Circles and Inversion (including Dr. Whatif's Euclidean Geometry)

Reading Sources for this section: Sved, Chapters 1-3. Ogilvy, through chapter on applications of inversion.. Read lab sheets for DWEG definitions and questions.

• Labs 5 and 6 to be submitted by 2/22.
• Written Assignment Due Wednesday, 3/1
• Test on Circles, Friday, 3/3 (see Orthogonal Circle Page for study questions)

Section 3: Spherical Geometry and Stereographic Projection

Reading Sources: See Sphere Page link above for reading about spherical triangles (Polking link) and stereographic projection definitions. Also, read the spherical items in Sved (e.g, pp. 30-31, pp. 73-74, p. 79). Also read lab sheets for definitions and questions, especially about stereographic projection.

• Written Problem Assignment Due Wednesday 3/8
• Construction Portfolio due Friday, 3/10

Section 4: Hyperbolic Non-Euclidean Geometry

Reading sources: Sved, Chapters 4-5. Hyperbolic page link above.

Study Problems for the Final

• A particular Study Problem for Final
• Study problems about circles, spheres, D-model and P-model

Lab Pages

• Lab 2
• Lab 3
• Lab 4 - Power of a point and Introduction to Orthogonal Circles.
• Lab 5 (download gsp file) - Inversion and Construction of Orthogonal Circles
• Lab 6 - More orthogonal circles & DWEG geometry.
• Lab 7 - Inversive Loose Ends. Beginning Spheres
• Lab 8 - Poincare model. (This will be the topic of Lab 9 also).

Link to old course pages