{"id":841,"date":"2012-12-10T23:42:02","date_gmt":"2012-12-10T23:42:02","guid":{"rendered":"http:\/\/mrreddy.com\/blog\/?p=841"},"modified":"2024-10-12T14:24:50","modified_gmt":"2024-10-12T14:24:50","slug":"guest-blog-circle-theorems-and-hula-hoops","status":"publish","type":"post","link":"http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/","title":{"rendered":"Guest blog: Circle Theorems and Hula Hoops"},"content":{"rendered":"<figure style=\"width: 620px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo1-620x255.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo1-620x255.png\" width=\"620\" height=\"255\" class \/><\/a><figcaption class=\"wp-caption-text\">Demo at the front<\/figcaption><\/figure>\n<div style=\"float: left;width: 400px;background: white;height: 282px;border: 1px solid grey;padding: 6px 4px;margin: 0 20px 20px 0\">[embedplusvideo height=&#8221;253&#8243; width=&#8221;400&#8243; standard=&#8221;http:\/\/www.youtube.com\/v\/uykOrQvC4Mw?fs=1&amp;hd=1&#8243; vars=&#8221;ytid=uykOrQvC4Mw&amp;width=400&amp;height=253&amp;start=&amp;stop=&amp;rs=w&amp;hd=1&amp;autoplay=0&amp;react=1&amp;chapters=&amp;notes=&#8221; id=&#8221;ep3804&#8243; \/]<\/div>\n<p>I am a teacher in the KSA Maths Department and I have just finished 2 weeks on Circle Theorems with my year 10 class.\u00a0 One of the philosophies of the KSA Maths department is \u2018Singapore Maths\u2019 where students are initially introduced to concepts via physical or visual representation, then with application and then on to the abstract or theoretical side. <\/p>\n<p>I have found it a real challenge making this topic tangible and creating learning that would stick in students&#8217; minds (sticky learning) and so decided to use the revision to try to achieve this.\u00a0 I used this lesson to create \u2018life size\u2019 representations of all 9 circle theorems using hula hoops and wooden sticks.<\/p>\n<p>I started the lesson with a \u2018Do Now\u2019 activity where students were given the theorem in words and they had to draw a picture to demonstrate this theorem. This ensured that all students had the correct theorems at the start of the lesson. I then brought a student to the front of the class to demonstrate how to make the theorem out of wood using one which I had started earlier. I asked the students to label the pertinent angles with yellow paper and also write the theorem out in full.<\/p>\n<p><figure id=\"attachment_847\" aria-describedby=\"caption-attachment-847\" style=\"width: 300px\" class=\"wp-caption alignleft\"><a href=\"http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/ajo5\/\" rel=\"attachment wp-att-847\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-847\" alt=\"Can you tell which theorem we're making?\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo5-300x166.png\" width=\"300\" height=\"166\" srcset=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo5-300x166.png 300w, http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo5.png 635w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-847\" class=\"wp-caption-text\">Can you tell which theorem we&#8217;re making?<\/figcaption><\/figure>Students were split into pairs and asked to create a separate theorem each. They spent about 20 minutes sticking wooden rods onto hula hoops to represent chords and hanging them from the ceiling. I left a couple of theorems spare for students who finished early to move onto. After completing the activity, students moved onto mixed practice questions and were able to look at the theorems at the back of the room if they got stuck.<\/p>\n<p>I found that the students really engaged with the practical nature of the task and enjoyed the pair work. I hope the lesson will be memorable for them and will have embedded the circle theorems.<\/p>\n<p>Adrian<\/p>\n<p><strong>Resources<\/strong><br \/>\nDownload the full pack of 34 files including homework, Exit Tickets, workpacks, IWB files and exam questions here.<br \/>\n<a href=\"http:\/\/www.mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/circletheoremsKSA.zip\" target=\"_blank\" rel=\"noopener\">Circle Theorems KSA.zip<\/a><br \/>\n<em>Credit to Deputy Head of Maths, Sam Dolan, for putting many of these resources together<\/em><\/p>\n<p><strong>Gallery<\/strong><br \/>\n<div id='gallery-1' class='gallery galleryid-841 gallery-columns-3 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105638-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1056381.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-871\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-871'>\n\t\t\t\tHelping hand\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105534-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1055341.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-869\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-869'>\n\t\t\t\tHere&#8217;s one I made earlier\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105505-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1055051.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-868\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-868'>\n\t\t\t\tGuess which theorem\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105403-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1054031.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-867\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-867'>\n\t\t\t\tGuess which theorem\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105353-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1053531.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-866\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-866'>\n\t\t\t\tGuess which theorem\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon '>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/20121129_105346-2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/20121129_1053461.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-865\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-865'>\n\t\t\t\tGuess which theorem\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/ajo4\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo4-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-846\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-846'>\n\t\t\t\tGetting on well\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/ajo3\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo3-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-845\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-845'>\n\t\t\t\tMaterials\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='http:\/\/mrreddy.com\/blog\/2012\/12\/guest-blog-circle-theorems-and-hula-hoops\/ajo2\/#main'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2012\/12\/ajo2-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-844\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-844'>\n\t\t\t\t&#8220;Now it&#8217;s your turn!&#8221;\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n<\/p>\n<p><em>Edit<\/em><br \/>\nProbing questions to ask after the models are made:<\/p>\n<ul>\n<li>Change [one\/two\/three] elements on this hula model so that it gives you the same theorem on <em>this<\/em> hula model. How are these two theorems related? Does one lead to another?<\/li>\n<li>[Partly dismantle a hula model] What do I need to change about this hula model so that it represents theorem [1\/2\/3\/4\/etc] again?<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[embedplusvideo height=&#8221;253&#8243; width=&#8221;400&#8243; standard=&#8221;http:\/\/www.youtube.com\/v\/uykOrQvC4Mw?fs=1&amp;hd=1&#8243; vars=&#8221;ytid=uykOrQvC4Mw&amp;width=400&amp;height=253&amp;start=&amp;stop=&amp;rs=w&amp;hd=1&amp;autoplay=0&amp;react=1&amp;chapters=&amp;notes=&#8221; id=&#8221;ep3804&#8243; \/] I am a teacher in the KSA Maths Department and I have just finished 2 weeks on Circle Theorems with my year 10 class.\u00a0 One of the philosophies of the KSA Maths department&hellip;<\/p>\n","protected":false},"author":3,"featured_media":847,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,8],"tags":[],"class_list":["post-841","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pedagogy","category-teachinglearning-ideas"],"_links":{"self":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/841","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/comments?post=841"}],"version-history":[{"count":31,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/841\/revisions"}],"predecessor-version":[{"id":2346,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/841\/revisions\/2346"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/media\/847"}],"wp:attachment":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/media?parent=841"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/categories?post=841"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/tags?post=841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}