{"id":71644,"date":"2020-05-04T12:21:39","date_gmt":"2020-05-04T16:21:39","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=71644"},"modified":"2020-05-25T13:41:45","modified_gmt":"2020-05-25T17:41:45","slug":"bags-of-digits","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/puzzles-and-riddles\/bags-of-digits\/","title":{"rendered":"Bags of Digits"},"content":{"rendered":"<h5>Puzzles and Riddles<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Develop an understanding of equality between expressions<\/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<h2>The Challenge:<\/h2>\n<p>Four bags contain a large number of 1s, 3s, 5s and 7s:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-71645\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_.png\" alt=\"An image of four paper bags. Each has one number (1,3,5,7) appearing on it 13 times. \" width=\"500\" height=\"563\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_.png 1046w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-266x300.png 266w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-768x865.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-909x1024.png 909w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-165x186.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-945x1064.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/Number.Bags_-750x845.png 750w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<ul>\n<li>Can you pick any ten numbers from the bags so that their total is 37?<\/li>\n<li>Your friend says it is impossible, but you feel like you can do it.<\/li>\n<li>Who is correct? Take some time to prove whether it is possible or impossible.<\/li>\n<\/ul>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>Were you able to make it work? What combinations have you tried so far?<\/li>\n<li>What have you done to prove if it\u2019s possible or impossible?<\/li>\n<li>Why is it so much more difficult to prove that something is impossible compared to proving that it\u2019s possible?<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>If it seems impossible, what are some combinations that almost work? How close can you get? Could you make it work if you were picking 8 numbers instead? 9 numbers? 11 numbers?<\/li>\n<li>What is the maximum number of these digits that you could combine to total 37? What is the fewest?<\/li>\n<\/ul>\n<p>Source: <a href=\"https:\/\/nrich.maths.org\/\" target=\"_blank\" rel=\"noopener\">NRICH Math<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Can you pick any ten numbers from the bags so that their total is 37?<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72901,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-71644","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71644","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=71644"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71644\/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=71644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=71644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=71644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}