# Difference between revisions of "Sample Course Outline"

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This is just one of many possible course outlines. The course outlined below was taught in 2004. This course met three times a week for 15 weeks. | This is just one of many possible course outlines. The course outlined below was taught in 2004. This course met three times a week for 15 weeks. | ||

Line 35: | Line 34: | ||

== Week 9 - Spherical Geometry == | == Week 9 - Spherical Geometry == | ||

− | Do the [[Spherical Geometry Exploration]] to introduce the main ideas from Spherical Geometry. | + | * Do the [[Spherical Geometry Exploration]] to introduce the main ideas from Spherical Geometry. |

− | Another approach to an introduction is the [[Spherical Easel Exploration]]. | + | * Another approach to an introduction is the [[Spherical Easel Exploration]]. |

− | Further | + | * Further exploration: [[Spherical Geometry: Polygons]] |

− | Read the section on [[Spherical Geometry]] | + | * Read the section on [[Spherical Geometry]] |

== Week 10 - Hyperbolic Geometry == | == Week 10 - Hyperbolic Geometry == |

## Revision as of 09:19, 19 July 2007

This is just one of many possible course outlines. The course outlined below was taught in 2004. This course met three times a week for 15 weeks.

## Contents

- 1 Week 1 - Euclidean Geometry
- 2 Week 2 - Symmetry
- 3 Week 3 - Basic Tessellations
- 4 Week 4- More Tessellations
- 5 Week 5 - Escher’s tessellation
- 6 Week 6 - Border Patterns, Wallpaper Groups
- 7 Week 7 - Basilica visit and Project 1
- 8 Week 8 - Exam
- 9 Week 9 - Spherical Geometry
- 10 Week 10 - Hyperbolic Geometry
- 11 Week 11 - Non-Euclidean Geometry
- 12 Week 12 - Fractals
- 13 Week 13 - Fractals, 2 and 3 dimensions
- 14 Week 14 - The 4th dimension
- 15 Week 15 - The 4th dimension

## Week 1 - Euclidean Geometry

Read the introduction.

## Week 2 - Symmetry

Read section about symmetry Read Schattschneider page 1-19

## Week 3 - Basic Tessellations

Labor Day Holiday - day off Read Schattschneider page 19-34

## Week 4- More Tessellations

Read Schattschneider page 34-52

## Week 5 - Escher’s tessellation

Read intro to tessellations. Read section about Escher's Tessellations

## Week 6 - Border Patterns, Wallpaper Groups

Read section about Border Patterns

## Week 7 - Basilica visit and Project 1

Work on proposals for the Project. Have students brain storm in class. Discuss the fieldtrip to the Basilica Cathedral.

## Week 8 - Exam

Fall Break Exam 1

## Week 9 - Spherical Geometry

- Do the Spherical Geometry Exploration to introduce the main ideas from Spherical Geometry.
- Another approach to an introduction is the Spherical Easel Exploration.
- Further exploration: Spherical Geometry: Polygons
- Read the section on Spherical Geometry

## Week 10 - Hyperbolic Geometry

Read the section on Hyperbolic Geometry

## Week 11 - Non-Euclidean Geometry

Reader: 134-146

## Week 12 - Fractals

Exam 2

## Week 13 - Fractals, 2 and 3 dimensions

## Week 14 - The 4th dimension

Thanksgiving Holiday - Days off