{"id":71161,"date":"2020-04-23T07:00:47","date_gmt":"2020-04-23T11:00:47","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=71161"},"modified":"2020-05-25T11:33:27","modified_gmt":"2020-05-25T15:33:27","slug":"3-squares","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-1-3\/investigations\/3-squares\/","title":{"rendered":"3 Squares?"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-71162 alignright\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/ThreeSquares.png\" alt=\"Three identically sized squares, two of which are overlapping.\" width=\"182\" height=\"170\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/ThreeSquares.png 182w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/ThreeSquares-165x154.png 165w\" sizes=\"auto, (max-width: 182px) 100vw, 182px\" \/><\/p>\n<h5>Investigations<\/h5>\n<h3>Materials:<\/h3>\n<p>paper, pencil<br \/>\n3 square frames (made from paper or straws and tape, or <a href=\"https:\/\/nrich.maths.org\/143\" target=\"_blank\" rel=\"noopener\">use the virtual version here<\/a>.)<\/p>\n<h2>Getting Started:<\/h2>\n<p>Start with 2 squares:<br \/>\nWhat is the greatest number of squares you can make by overlapping 2 squares?<br \/>\nExperiment by overlapping them in different ways. Ask your child to count the number of squares they see. (the original big squares count).<br \/>\nYou might have a debate about which ones are squares and how you can tell.<\/p>\n<p>They can trace or copy the squares on paper and colour the different squares or label them with numbers to keep track of the arrangement with the most squares.<\/p>\n<h3>Possible Questions:<\/h3>\n<p>How many squares can you make by overlapping two large squares?<br \/>\nHow do you know when a shape is a square?<br \/>\nCan you move the large squares so that you create more squares?<br \/>\nHow do you know that it isn&#8217;t possible to make more squares?<\/p>\n<h3>Next Step:<\/h3>\n<p>Now try it with 3 squares.<br \/>\nWhat is the greatest number of squares you can make by overlapping 3 squares?<\/p>\n<p>(Hint: there are more than 5)<\/p>\n<h3>Extension:<\/h3>\n<p>Try it with 4 squares or 3 equilateral triangles.<\/p>\n<p>Adapted from <a href=\"https:\/\/nrich.maths.org\/143\" target=\"_blank\" rel=\"noopener\">nrichmaths.org<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the greatest number of squares you can make by overlapping 2 squares? <\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72786,"menu_order":13,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-71161","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71161","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=71161"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71161\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72786"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=71161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=71161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=71161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}