Showing posts with label chapter 3. Show all posts
Showing posts with label chapter 3. Show all posts

Tuesday, November 18, 2008

Wheelchair accessibility

Find a wheelchair ramp in Grand Rapids or your neighborhood. Measure the length of the ramp along with the maximum height.
Look up the Americans with Disabilities Act and find information regarding wheelchair ramps. What is the maximum slope? What types of facilities are required to have wheelchair access? Why do some ramps have turns?...Along with other noteworthy information from the act.

Completion of this project requires:

1. Information about the wheelchair ramp - location, length, height.
2. Correct computation of the slope of the ramp.
3. Information from the Americans with Disabilities Act:
a. Maximum slope of a ramp and a reason for having a maximum slope.
b. Two other specific rules/ guidelines that you found interesting
c. One thing you learned from the Act

Monday, November 17, 2008

Without Euclid's Postulate V!

Hyperbolic portion: See me to receive the shapes necessary to create a hyperbolic plane. After cutting/taping the plane together (it will be bumpy!), pull the plane as straight as possible to draw one straight line. The longer the better for this project. Pull the plane as straight as possible to draw two more sides of the triangle. Measure the angles. What do you notice about the triangle angle sum? Conject something here.

Spherical Geometry: Using a sphere (dodgeball, globe, etc.) and three skinny strips of paper, create a triangle with straight paper lines directly on the sphere. Measure the angles of this triangle. What do you notice about the triangle angle sum? Conject something for spherical geometry.

Compare the angle sums for the three types of geometry. Look online (or use your own information) to compare parallel lines in the three geometries. Compare and contrast parallel lines and how those impact the triangle angle measures.

Completing this project requires:
1. A correctly assembled hyperbolic plane with a triangle drawn in.
2. Measure of triangle's angles and conjecture for all triangle angle measures in hyperbolic geometry.
3. Picture or model of a triangle in spherical geometry.
4. Measure of triangle's angles and conjecture for all triangle angle measures in hyperbolic geometry.
5. Summary paragraph (written in standard English) regarding triangle angle measures and parallel lines, comparing hyperbolic, Euclidean, and spherical geometry.