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Turning Your World Around

Discover the concept of rotational symmetry and its applications in design, nature, and everyday objects. Explore the order of rotational symmetry in various designs and learn how to create your own ambigrams. Join the students of 6B from St. Kieran's in Sydney, Australia, on their engaging journey of symmetry exploration.

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Turning Your World Around

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  1. Turning Your World Around

  2. What is Rotational…. Note: This is an ambigram. An ambigram is a word that when turned appears to be the same. Make your own ambigram at http://www.mathcats.com/crafts/ambigrams.html

  3. Webster describes a rotation as “a turn about a center” Webster describes symmetry as “close agreement in size, shape, and relative position of parts arranged around a central point” http://mathinscience.info

  4. Students of 6B, St Kieran's,  Manly Vale, Sydney, Australia have designed a web site to teach the world the concepts of symmetry. (you might like to know they are 10-12 years old) On their site they say………… http://mathinscience.info

  5. An image has Rotational Symmetry if there is a center point around which the object is turned a certain number of degrees and the object still looks the same, ie it matches itself a number of times while it is being rotated. The number of times the object matches itself is called itsorderof rotational symmetry. http://mathinscience.info

  6. The students in Australia made designs to explore the idea of order. What order is each of their designs? http://mathinscience.info

  7. The students also explored rotational symmetry in the world around them. Here are some of the hubcaps they found had rotational symmetry. What order do you think they are if you ignore the logos? http://mathinscience.info

  8. Do you recognize these objects? The students found rotational symmetry in all kinds of places………. http://mathinscience.info

  9. Symmetry is often used to design things of beauty…… http://mathinscience.info

  10. Does this rug have rotational symmetry? If so, what order? http://mathinscience.info

  11. The Australian students thought these rugs were great examples. Can you think of other things that have rotational symmetry? http://mathinscience.info

  12. I found rotational symmetry in nature. What order rotational symmetry does this flower have? http://mathinscience.info

  13. 1 3 Which of these graphics have rotational symmetry? 2 4 http://mathinscience.info

  14. The students of 6B created these designs using dot paper. What order are each of these designs? http://mathinscience.info

  15. Thanks to the students of the 6B class in Sydney, Australia and to their teacher who graciously gave us permission to use their ideas and images. Explore them on your own at:http://www.schools.ash.org.au/stkierans-manly/Classes/Yr6/6B/Symmetry/page1.html http://mathinscience.info

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