teaching the geometry of the plane using origami

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

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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. - PowerPoint PPT Presentation

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Page 1: Teaching the Geometry of the Plane Using Origami

1

Teaching the Geometry of the Plane Using Origami

Masashi Sanae & Stephen ElliffRitsumeikan High School

2010 Singapore Math Challenge

Page 2: Teaching the Geometry of the Plane Using Origami

Origami

ORIGAMICS2

Page 3: Teaching the Geometry of the Plane Using Origami

The Basic Drawing Method

①perpendicular bisector

③angle bisector

②perpendicular to line segment through a point

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Page 4: Teaching the Geometry of the Plane Using Origami

Basic Folding

①perpendicular bisector

③angle bisector

②perpendicular to line segment through a point

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Page 5: Teaching the Geometry of the Plane Using Origami

Incenter

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Page 6: Teaching the Geometry of the Plane Using Origami

Circumcenter

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Page 7: Teaching the Geometry of the Plane Using Origami

Centroid

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Page 8: Teaching the Geometry of the Plane Using Origami

Excenter

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Page 9: Teaching the Geometry of the Plane Using Origami

Application- All Sides Overlap

We can fold a polygon so that all sides overlap

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Page 10: Teaching the Geometry of the Plane Using Origami

A Triangle

Incenter

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Page 11: Teaching the Geometry of the Plane Using Origami

A Quadrilateral with One Open Side

Excenter11

Page 12: Teaching the Geometry of the Plane Using Origami

A Quadrilateral with One Open Side

Excenter12

Page 13: Teaching the Geometry of the Plane Using Origami

Circumscribed Polygon

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Page 14: Teaching the Geometry of the Plane Using Origami

Polygon

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Page 15: Teaching the Geometry of the Plane Using Origami

Polygon

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Page 16: Teaching the Geometry of the Plane Using Origami

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Page 17: Teaching the Geometry of the Plane Using Origami

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Page 18: Teaching the Geometry of the Plane Using Origami

Geometry with Salt

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Page 19: Teaching the Geometry of the Plane Using Origami

Reference

M.Sanae’S HomePage (Masashi Sanae)

http://izumi-math.jp/sanae/

Origami and Mathematics （ Konichi

Kato ）

http://izumi-math.jp/K_Katou/origami/origami.htm

http://izumi-math.jp/sanae/

http://izumi-math.jp/K_Katou/origami/origami.htm

Page 20: Teaching the Geometry of the Plane Using Origami

Thank you for listening.

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