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Teaching the Geometry of the Plane Using Origami

Teaching the Geometry of the Plane Using Origami. 2010 Singapore Math Challenge. Masashi Sanae & Stephen Elliff Ritsumeikan High School. Origami. ORIGAMICS. The Basic Drawing Method. ①perpendicular bisector. ②perpendicular to line segment through a point. ③angle bisector.

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Teaching the Geometry of the Plane Using Origami

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  1. Teaching the Geometry of the Plane Using Origami 2010 Singapore Math Challenge Masashi Sanae & Stephen Elliff Ritsumeikan High School

  2. Origami ORIGAMICS

  3. The Basic Drawing Method ①perpendicular bisector ②perpendicular to line segment through a point ③angle bisector

  4. Basic Folding ①perpendicular bisector ②perpendicular to line segment through a point ③angle bisector

  5. Incenter

  6. Circumcenter

  7. Centroid

  8. Excenter

  9. Application- All Sides Overlap We can fold a polygon so that all sides overlap

  10. A Triangle Incenter

  11. A Quadrilateral with One Open Side Excenter

  12. A Quadrilateral with One Open Side Excenter

  13. Circumscribed Polygon

  14. Polygon

  15. Polygon

  16. Geometry with Salt

  17. Reference • M.Sanae’SHomePage (Masashi Sanae)http://izumi-math.jp/sanae/ • Origami and Mathematics （Konichi Kato）http://izumi-math.jp/K_Katou/origami/origami.htm

  18. Thank you for listening.

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