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Exploring Spider Web Geometry: Shapes, Angles, and Lines

Dive into the fascinating world of spider webs to learn about geometry! This interactive session by Susan L. Cerruti explores the shapes and angles found in a real spider web. Investigate how a spider spins its web by starting with simple line segments that form triangles and angles. Create your own geoboard web using rubber bands, following specific rules. Measure and analyze your web's line segments and angles, and discover the connections between geometry and nature. Join us for a fun learning experience!

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Exploring Spider Web Geometry: Shapes, Angles, and Lines

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Presentation Transcript

  1. Shapely Spider Webs The Math & Science Center presents By Susan L. Cerruti

  2. Let’s Look at a REAL Spider Web What shapes do you see? THINK!

  3. What We Know A triangle has 3 sides and 3 corners. A square or rectangle has 4 sides and 4 corners.

  4. Same Thing, Different Name line segment side corner angle

  5. The Point Is… A point is formed when two lines intersect.

  6. Terms _______________. A line segment is the straight line between two points. An angle is _________________. made when two line segments intersect at a point. this special point at an angle is called a VERTEX

  7. Let’s Put it Together angle line segment point

  8. Find the points, line segments and angles of these shapes.

  9. Let’s Look at How a Spider Spins a Web. THINK! What do we see at each stage? What shape is the web? What shapes do we see inside of the web?

  10. The spider begins with one simple LINE SEGMENT.

  11. These 3 LINE SEGMENTS form the 3 SIDES of a triangle.

  12. The same LINE SEGMENTS also intersect at a POINT to form ANGLES.

  13. The final product—what do we see now?

  14. Make Your Own Geoboard Web Using Your Rubber Bands THE RULES: • 3 to 10 rubber bands • no more than 2 rubber bands on one point • bands should not cross • your shape must be closed

  15. Examples

  16. Examples

  17. Transfer Your Web Copy your shape onto the graph paper. Use the numbers on your geoboard and recording sheet to help you. x 8 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2 1 0 x x x 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8

  18. Your Web Find and count line segments. Find and count points & angles. Measure each.

  19. 0 2 3 1 4 5 6 7 Be Sure to Measure from the 0 on Your Ruler! 0

  20. 0 2 3 1 4 5 6 7 This Side of the Triangle is 7 Inches Long. Write your measurement along the line segment. 7 in.

  21. What Did We Learn? What did you learn about your web? What did you learn about points, line segments and angles? • Were they the same or different? • Is there a pattern?

  22. Thank You! Questions?

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