{"id":70358,"date":"2020-04-09T12:19:37","date_gmt":"2020-04-09T16:19:37","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=70358"},"modified":"2020-05-25T13:33:03","modified_gmt":"2020-05-25T17:33:03","slug":"circle-of-calculation-puzzle","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/puzzles-and-riddles\/circle-of-calculation-puzzle\/","title":{"rendered":"Circle of Calculation Puzzle"},"content":{"rendered":"<h5>Puzzles and Riddles<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Solve problems involving the multiplication and division of multi-digit whole numbers<\/li>\n<li>Develop and apply reasoning skills to make and test math predictions<\/li>\n<li>Communicate mathematical thinking orally and visually<\/li>\n<\/ul>\n<h3>The Puzzle:<\/h3>\n<p>Determine the numbers that go in the empty boxes to make this diagram correct:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-70359\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle.png\" alt=\"\" width=\"600\" height=\"598\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle.png 1600w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-150x150.png 150w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-300x300.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-768x765.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-1024x1020.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-50x50.png 50w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-100x100.png 100w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-165x164.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-1140x1136.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-945x941.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/mathcircle-750x747.png 750w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>Can you also complete the challenge if the top box starts as 30?<br \/>\nWhat about 38? 248?<\/p>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>What strategies did you use to multiply and divide?<\/li>\n<li>What have you tried so far? What could we try together?<\/li>\n<li>(If the circle doesn\u2019t end back at 8) &#8211; Let\u2019s check back on what you did to see what led us here.<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>If struggling with calculations, try starting with 4 instead of 8 (or have a calculator handy!)<\/li>\n<li>Take some time to figure out why this circle works out with ANY whole number in the top box &#8211; can you explain why?<\/li>\n<\/ul>\n<p>Source: University of Waterloo &#8211; <a href=\"https:\/\/www.cemc.uwaterloo.ca\/resources\/potw.php\" target=\"_blank\" rel=\"noopener\">CEMC Problem of the Week Database<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goals: Solve problems involving the multiplication and division of multi-digit whole numbers, Develop and apply reasoning skills to make and test math predictions, Communicate mathematical thinking orally and visually.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72901,"menu_order":17,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-70358","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70358","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=70358"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/70358\/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=70358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=70358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=70358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}