{"id":1637,"date":"2012-02-15T06:46:03","date_gmt":"2012-02-15T14:46:03","guid":{"rendered":"http:\/\/kidnexions.com\/blog\/?p=1637"},"modified":"2012-08-06T06:57:17","modified_gmt":"2012-08-06T14:57:17","slug":"the-artistic-side-of-math-180-degree-rotational-symmetry","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=1637","title":{"rendered":"The Artistic Side of Math &#8211; 180-degree Rotational Symmetry"},"content":{"rendered":"<p><a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=1639\" rel=\"attachment wp-att-1639\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-1639\" title=\"crossword\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2012\/02\/crossword-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/crossword-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/crossword-450x337.jpg 450w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Crossword puzzles are symmetrical?! That&#8217;s usually the response I get after students have been given a chance to look through blank crossword puzzles I&#8217;ve cut from the paper.<\/p>\n<p>Then I show them how all crosswords are designed with 180-degree rotational symmetry. Starting with 90-degree rotational symmetry, we rotate an object 1\/4 the way around the circle. See photo below. Then we rotate an additional 90 degrees so that we end up with a turn of 180-degrees. (We&#8217;ve done work in class on angle measurement so students are familiar with degrees in a circle.)<br \/>\n<a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=1943\" rel=\"attachment wp-att-1943\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-1943\" title=\"rotation\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.19.00-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.19.00-225x300.jpg 225w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.19.00-450x600.jpg 450w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.19.00.jpg 1920w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>I then pass out 2 copies of a crossword puzzle\/team. Holding the two puzzles one on top of the other in the same direction, they hold both puzzles up to the light and slowly rotate one of them 180-degrees. They should see that after the turn, the patterns fit nicely on top of each other. They are usually amazed.<\/p>\n<p>So now it&#8217;s time for them to create their own puzzles. I like to use centimeter paper that is 15 x 15.<\/p>\n<p>They begin by coloring in boxes on one side then flipping the paper 180-degrees and counting over and drawing in the exact same boxes. When students use different colored pencils or pens, the result is pretty nice.<\/p>\n<p><a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=1739\" rel=\"attachment wp-att-1739\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1739\" title=\"crossword\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.37.41-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.37.41-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/02\/2012-02-09-15.37.41-450x337.jpg 450w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Crossword puzzles are symmetrical?! That&#8217;s usually the response I get after students have been given a chance to look through blank crossword puzzles I&#8217;ve cut from the paper. Then I show them how all crosswords are designed with 180-degree rotational symmetry. Starting with 90-degree rotational symmetry, we rotate an object 1\/4 the way around the circle. See photo below. Then we rotate an additional 90 degrees so that we end up with a turn of 180-degrees. (We&#8217;ve done work in&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=1637\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[123,76,54,53,57],"tags":[69,64,67,21,22,89],"class_list":["post-1637","post","type-post","status-publish","format-standard","hentry","category-activities","category-family-math-night-2","category-geometry-kids-and-math-3-5","category-measurement-kids-and-math-3-5","category-problem-solving","tag-family-math-night","tag-k-5-geometry","tag-k-5-math","tag-karyn-hodgens","tag-kidnexions","tag-math-and-art"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Artistic Side of Math - 180-degree Rotational Symmetry - Karyn&#039;s Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=1637\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Artistic Side of Math - 180-degree Rotational Symmetry - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Crossword puzzles are symmetrical?! That&#8217;s usually the response I get after students have been given a chance to look through blank crossword puzzles I&#8217;ve cut from the paper. Then I show them how all crosswords are designed with 180-degree rotational symmetry. Starting with 90-degree rotational symmetry, we rotate an object 1\/4 the way around the circle. See photo below. Then we rotate an additional 90 degrees so that we end up with a turn of 180-degrees. (We&#8217;ve done work in... 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