{"id":70817,"date":"2020-04-16T12:13:35","date_gmt":"2020-04-16T16:13:35","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=70817"},"modified":"2020-05-25T13:33:53","modified_gmt":"2020-05-25T17:33:53","slug":"magic-triangles","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/puzzles-and-riddles\/magic-triangles\/","title":{"rendered":"Magic Triangles"},"content":{"rendered":"<h5>Puzzles and Riddles<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Determine the missing numbers in equations<\/li>\n<li>Develop and apply reasoning skills to make and test math predictions<\/li>\n<\/ul>\n<h3>The Challenge:<\/h3>\n<p>The goal of a magic triangle is to place the numbers from 1-6 in the spaces, so that the three sides each add up to the target total:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-70818\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM.png\" alt=\"\" width=\"400\" height=\"382\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM.png 1212w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-300x287.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-768x734.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-1024x978.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-165x158.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-1140x1089.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-945x903.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Screen-Shot-2020-04-09-at-12.24.44-PM-750x717.png 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><br \/>\nCan you place the numbers 1-6 into the triangle so that each side adds to 10?<br \/>\nWhat about a target total of 12 for each side? A target total of 9? 11?<\/p>\n<p><a href=\"https:\/\/www.mathplayground.com\/magic_triangle.html\" target=\"_blank\" rel=\"noopener\">This digital version is a great way to play<\/a>, or simply jot it down on a piece of paper!<\/p>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>What strategy did you use to add the numbers quickly?<\/li>\n<li>What have you tried so far? What could we try together?<\/li>\n<li>If that arrangement of numbers didn\u2019t work out, what could you try instead?<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>If struggling with calculations, have a calculator handy!<\/li>\n<li>Increasing the size of the triangle allows for the use of more digits and a trickier puzzle &#8211; Check out <a href=\"https:\/\/www.openmiddle.com\/equilateral-triangle-2\/\" target=\"_blank\" rel=\"noopener\">This Open Middle version<\/a> for an added challenge.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goals: Determine the missing numbers in equations, Develop and apply reasoning skills to make and test math predictions.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72901,"menu_order":16,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-70817","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70817","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/users\/15985"}],"replies":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/comments?post=70817"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70817\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72901"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=70817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=70817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=70817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}