Ten percent of your grade will depend on a project.

Outcome: Write and solve complex geometric problems appropriate to an advanced High School class.

You will hand in a project proposal around mid-semester and a final draft of your project at the end of the semester. You will also review and score projects for three of your peers.

- An application of triangulation in a nautical navigation problem or related to modern GPS systems.
- Examples of use of similar triangles or triangle measures from astronomy. A relatively simple example is presented here.
- Using geometry to create patterns for carpentry, quilting or other projects. (Examples)
- Estimating volume or surface area based on information in a photograph. (One example I've seen is a photo of a man standing next to a tank. If the man's height is known, you can estimate the height and diameter of the tank from the photo.)
- Calculating the artist's viewpoint based on a perspective drawing, or calculating the sizes of distant objects in a perspective drawing given the artist's position and some information on the size of other objects appearing in the image.
- Calculating distances and positions of objects based on photographs taken from two different viewpoints (steroscopic vision).
- Calculating the coordinates of the vertices and faces of an object for use in a digital model.
- Restoring a "stretched" picture to its correct aspect ratio based on known shapes of some objects in the picture.
- Calculating the volume of water flowing down a river over time. (As done by the BSC Geographics Lab when studying pollutants.)

Score |
Proposal Characteristic |

5 | Proposal is well thought out and is clearly an application of geometry. Project difficulty is reasonable. |

3 | Proposal is vague ("use triangles to find the height of a house"), is not geometric in nature ("find out how long it takes to fall 10 feet"), or is much too easy or difficult ("find the volume of a cylindrical swimming pool"). |

1 | Proposal fails to describe a problem or how the problem relates to geometry. |

The instructor and your peers will be grading your projects according to the following rubric:

Score |
Project Characteristic |

10 | The problem to be solved by the project is clearly described; information needed to solve the problem is readily available. |

5 | The question to be solved is not clearly stated, or information needed to solve the problem is not provided. (E.g. a project to find the height of a building based on the length of its shadow with no information about the angle of the sun.) |

1 | It's not clear what the question is. |

Score |
Project Characteristic |

10 | The solution is clear, complete, correct, and easy for classmates to follow. |

5 | The solution contains errors, gaps, or is difficult to follow. |

1 | The method of solution presented will not yield a solution. (E.g. calculating time it takes for a ball to bounce by measuring distance between bounces.) |

Score |
Project Characteristic |

10 | The project uses geometry at an appropriate level in an interesting and realistic way. |

7 | The geometry used in the project is too easy or too hard, or the problem doesn't seem realistic. |

1 | The solution does not involve geometry, or fails to provide needed information. (A project using navigation to determine the location of a ship should include a map or nautical chart.) |

Score |
Project Characteristic |

5 | The project is complete, well written and laid out in an attractive way. |

3 | The project writeup contains several spelling or grammatical errors, is incomplete, or is disorganized. |

1 | The project writeup is extremely messy, disorganized, or incoherent. |