1007936
A Math Forum Web Unit. Includes some background on circles in Islamic cultures, and an activity exploring the geometry involved in some circle designs.
Summary
| Subject keyword(s) | Art, Circles, Conic sections, Geometry, Mathematics, Plane geometry, Symmetry, Transformations |
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| Grade level | Elementary School, Middle School, High School, Informal Education |
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| Intended audience | Learner |
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| Resource type | Instructional Material |
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| Resource format | text, text/html |
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Using this resource
Found in collection(s)
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| Title | Middle School Portal: Math and Science Pathways (MSP2) |
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| Link | http://msteacher2.org/ |
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| Description | The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience. |
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Content contained within the resource
A Math Forum Web Unit Suzanne Alejandre's Designs With Circles Back to Suzanne's Math Lessons || Check out Suzanne's Tessellation Lessons In the Islamic culture the circle is a unit of measure. The circle is the basis for the organization of space. It is a starting point in architecture, poetry, music and even calligraphy. From a circle it is possible to construct many regular polygons. The decimal system we use did not appear as a standard until the eighth century A.D. Before exact units of measurement were used, the scale from one building's plan was used to create another building by referring to the geometric patterns. Egyptian rope-stretchers and temple surveyors developed a reproducible method by using pegs and cords to trace circles and straight lines on sand. They established geometric procedures for generating precise and accurate constructions. Perfect interrelationships between the parts and the whole of the composition were attained irrespective of mode, form, or scale of expression. A universality was achieved in the Islamic world, consistent with the Islamic belief that all creations are harmoniously interrelated. Summarized from information found in Geometric Concepts in Islamic Art by Issam El-Said and Ayse Parman Dale Seymour Publications ISBN 0-905035-03-8 Draw a circle with a compass. Without changing the opening (radius) on the compass, draw another circle whose center is on the rim of the first circle. If you connect the centers and one of the points where the circles cross, you get an equilateral triangle. Why do all the sides have the same length? Again without changing the radius, draw another circle whose center is one of the intersection points. Keep drawing new circles at the new intersection points. Does this design have rotation symmetry? By what angles? Does this design have reflection symmetry? Across what lines? Keep drawing more circles at the intersection points until you have a pattern that covers most of the page. What kinds of symmetry does this pattern have, assuming it goes on forever? Can you find the pattern of triangles in the circle pattern? You will have to imagine or draw in the lines. [Privacy Policy] [Terms of Use] Home || The Math Library || Quick Reference || Search || Help © 1994-2012 Drexel University. All rights reserved. http://mathforum.org/ The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.Send comments to: Suzanne Alejandre
