{"id":71328,"date":"2020-04-27T11:30:42","date_gmt":"2020-04-27T15:30:42","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=71328"},"modified":"2020-05-25T13:38:59","modified_gmt":"2020-05-25T17:38:59","slug":"envelope-sums","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/puzzles-and-riddles\/envelope-sums\/","title":{"rendered":"Envelope Sums"},"content":{"rendered":"<h5>Puzzles and Riddles<\/h5>\n<h3>Learning Goals:<\/h3>\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>A set of ten cards, each showing one of the digits from 0 to 9, is divided up between five envelopes so that there are two cards in each envelope.<\/p>\n<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-71329\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2.png\" alt=\"A series of numbers from 0 to 9.\" width=\"800\" height=\"109\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2.png 1600w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-300x41.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-768x105.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-1024x140.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-165x22.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-1140x155.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-945x129.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/Numbers-1-2-750x102.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/h3>\n<p>The sum of the two numbers inside it is written on each envelope: 7, 8, 13, 14, and 3.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-71330\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath.png\" alt=\"A graphic of envelopes with the following numbers written on them: 7, 8, 13, 14, and 3.\" width=\"800\" height=\"132\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath.png 1600w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-300x49.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-768x126.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-1024x168.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-165x27.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-1140x187.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-945x155.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/EnvelopeMath-750x123.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3>Can you figure out which combination of cards should be in each envelope, so that they will each add to these sums?<\/h3>\n<h2>Questions and Prompts to Support your Child:<\/h2>\n<ul>\n<li>Which envelope did you start with? Why did you choose that total first?<\/li>\n<li>Which envelopes do you think have the most possible combinations of cards? Which do you think have the least?<\/li>\n<li>(Once a solution has been found) &#8211; Do you think there are any other possible solutions? Why or why not?<\/li>\n<\/ul>\n<h2>Extensions &amp; Adaptations:<\/h2>\n<ul>\n<li>If you\u2019re feeling stuck, get a head start by noticing that the \u201c14\u201d envelope could contain the 8 &amp; 6 cards <span style=\"text-decoration: underline;\"><strong>OR<\/strong><\/span> the 9 &amp; 5 cards &#8211; pick one combination and go from there!<\/li>\n<li>Once you have found one possible combination of cards in envelopes, take some time to try to find the other one<\/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>A set of ten cards, each showing one of the digits from 0 to 9, is divided up between five envelopes so that there are two cards in each envelope.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72901,"menu_order":13,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-71328","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71328","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=71328"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71328\/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=71328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=71328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=71328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}