Monday, November 17, 2008

MC Escher in all his awesomeness


MC Escher is one of the world's most famous graphic artists. Along with tessellations (now required by the district for you), he is famous for many other art works.
mcescher.com


Completing this project requires:
1. Poster including:
a. Copies of three of your favorite MS Escher works of art.
b. A work from a different artist in a similar style to MC Escher (may be a professional artist OR your own work.)
c. A one to three-sentence summarizing the art behind the styles of work represented on your poster.
2. Format of poster:
a. At least 11x17, preferably full-poster size
b. Color
c. Neatness and Organization = Poster Presentation
d. Stated citations for works of art.

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.

Where definitions come in handy...

Locate a recent (within the past four months) news article on a debated issue (eg. a court case). Read and summarize the issue, orally in front of the class or on paper. Explain how (if!) specificity of the law or debated issue could clear up the debate.
Would clearer explanations allow for less debate?

How does this relate to geometry/ why is this project listed for chapter two?

Completing this project requires:
1. Copy of the news article in review.
2. Summary of the issue (presented orally to the class or written and turned in.)
3. Clarification "suggestions" - noting how (or why not) specificities would reduce debatable information and/or clarify the issue.
4. Connection to geometry - How does this relate to geometry/ why is this project listed for chapter two?
5. If written, the project must follow correct grammar, punctuation, and spelling guidelines as presented in English classes. If presented orally, presentation should last 2-4 minutes.

Logic Puzzles and Games

Information found: in Holt textbook, pages 126-127.

Three logic games and puzzle activities are found.

Completing this project requires:

- 3 games of Sprouts, with "zombie point(s)" and winner's name marked on each game. At least one game has to have more than 3 initial sprouts.

- Activity 2 - Correct digits matched with the letters, and an arrangment of the letters in their numberical-value order. Work must be shown.

- Activity 3 - Chart must be filled in with clue information (that counts as your work shown.) Correct granddaughter with language and instrument in chart. The answer to the question asked (Valerie's accomplishments) must be answered.