{"id":71379,"date":"2020-04-28T07:00:36","date_gmt":"2020-04-28T11:00:36","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=71379"},"modified":"2020-05-25T13:09:59","modified_gmt":"2020-05-25T17:09:59","slug":"consecutive-numbers-exploration","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/explorations-and-games\/consecutive-numbers-exploration\/","title":{"rendered":"Consecutive Numbers Exploration"},"content":{"rendered":"<h5><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-71381\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage.png\" alt=\"Image displaying the equation 5x5=25.\" width=\"400\" height=\"282\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage.png 1000w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage-300x212.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage-768x542.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage-165x116.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage-945x667.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/04\/MathImage-750x530.png 750w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/>Explorations and Games<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Build a deeper understanding of the multiplication operation<\/li>\n<li>Make predictions related to patterns<\/li>\n<li>Develop and apply reasoning skills to make and test math predictions<\/li>\n<\/ul>\n<h2>The Exploration:<\/h2>\n<p>Choose three consecutive numbers to start (in a row like 4, 5, 6.)<br \/>\nFirst, multiply the largest number by the smallest number.<br \/>\nNext, multiply the middle number by itself.<br \/>\nWhat do you notice?<\/p>\n<h3>Try it with some more sets of three consecutive numbers and see what happens!<\/h3>\n<p>Why do you think this is happening?<br \/>\nSee if you can make sense of this pattern using repeated addition or by drawing out your multiplication in arrays (or with <a href=\"https:\/\/mathclips.ca\/swfPlayer.html?swfURL=tools\/RelationalRods1.swf&amp;title=Relational%20Rods%2B\" target=\"_blank\" rel=\"noopener\">Mathies Relational Rod tool<\/a>.)<\/p>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>Which sets of numbers have you tested so far? Does the pattern still happen if you use 3 consecutive LARGE numbers?<\/li>\n<li>Have you made sense of why this happens? Can you show me what you discovered?<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>This might be our first time experiencing square numbers (or perfect squares) &#8211; a number multiplied by itself. Do some more exploring about what makes these situations interesting (i.e., will the square of an even number always be even? What about squaring odd numbers? Do you notice any patterns or similarities in the resulting answers?)<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Build a deeper understanding of the multiplication operation, Make predictions related to patterns, Develop and apply reasoning skills to make and test math predictions.<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72861,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-71379","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71379","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=71379"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/71379\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72861"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=71379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=71379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=71379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}