Considering an Extra Credit project?
In order to recieve credit, projects and papers must be pre-authorized by the instructor. The number of points recieved by the student is dependent on the amount and the quality of the work completed. A rubric will be developed with each student when the project is authorized.
One possibilitiy for extra credit points is for a student to complete an art project on a geometry related subject. Projects include tesselations (like the work of M.C. Escher), patterned or symmatrical art (such as a celtic knot design, p.17), or traditional geometric art (for instance a historical Islamic design).
A second possible way to work towards extra credit points is to write a paper or put together a PowerPoint presentation on a geometry related topic. The paper will need to have at least three different references (though 2 of them can be websites). The following links may be useful when considering possible topics.
Art:
- A link to an artist who uses geometry on the beach
- Frank Lloyd Wright - architect
- Is the Symbolism movement in art the same as symbolic art? Why does this have to do with geometry (what does a sketch of a circle represent or symbolize in geometry)?
- Mondrian is one of Ms. Randall's favorite artists.
- Islamic Designs and motifs - see page156
- Drawing perspective - what are two ways artists represent three dimensionality on a two dimensional piece of paper? See p.172.
History: - Why does the Masonic symbol have a compass in it?
- How does the geometry of Fort McHenry help it defend Baltimore harbor?
Famous Faces: - Euclid - foundations of geometry
- More Euclid
- Archimedes of Syracuse - inscribing and circumscribing
- Sofia Kovalevskaya - An amazing female mathematician (PPT completed by Ashley)
- Marion Gray - early graph theory
- Liu Hui
- Claudius Ptolemy
- Tycho Brahe has a really cool hat
High End Math:- Construction
- fractals - see p.135
Other Randomness:- Kites - what are they in geometry? What are some different examples in the real world? Include box kites, sports kites (this links to where Ms. Randall used to work), and traditional Japanese Rokkaku kites in your paper/presentation.
- Optical Illusions - see page 13. You must discuss how they work as well as include examples.
Other Extra Credit Possibilities: - Present the card trick on p.171 and then discuss how the trick works and how you arrived at your answer.
- Complete the activity on the Sierpinski triangle - see p.135 - (Completed by Tonya)
- Create a step by step instruction book that shows in both written and picture form, how to construct something with only a straight edge and a compass. Show how to construct an equilateral triangle, a right triangle, two parallel lines, a square, a pentagon, or a hexagon.
