{"id":73233,"date":"2020-05-26T17:48:35","date_gmt":"2020-05-26T21:48:35","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=73233"},"modified":"2020-06-08T12:07:53","modified_gmt":"2020-06-08T16:07:53","slug":"comparing-visual-growing-patterns","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/problem-solving-prompts\/comparing-visual-growing-patterns\/","title":{"rendered":"Comparing Visual Growing Patterns"},"content":{"rendered":"<h5>Problem Solving Prompts<\/h5>\n<h2>Learning Goals:<\/h2>\n<ul>\n<li>Describe and extend a variety of numeric and geometric patterns<\/li>\n<li>Make predictions related to patterns<\/li>\n<li>Communicate mathematical thinking orally and visually<\/li>\n<\/ul>\n<h2>The Challenge:<\/h2>\n<p>Examine the two growing patterns below. What do you notice? What do you wonder?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-73234\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526.png\" alt=\"Two growing patterns represented visually by coloured squares. The first pattern is x shaped and extends outwards, with Term 1 built of 5 squares, Term 2 built of 9 squares, and Term 3 built of 13 squares. The second pattern is two rows of squares, connected by a single square between, and extends to the right. Its Term 1 is built of 9 squares, Term 2 is built of 11 squares, and Term 3 is built of 13 squares.\" width=\"600\" height=\"420\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526.png 1600w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-300x210.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-768x538.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-1024x717.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-165x116.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-1140x798.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-945x662.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/05\/JM526-750x525.png 750w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>How are these two patterns similar? How are they different?<br \/>\nWhat changes and what stays the same as each pattern progresses?<\/p>\n<p>At what term will each pattern reach a value of 29 squares? How do you know?<br \/>\nDescribe what this term will look like in each case.<\/p>\n<h3>Questions and Prompts to Support your Child:<\/h3>\n<ul>\n<li>Which pattern did you start working with first? Why?<\/li>\n<li>How do the visual representations of each pattern help you think about how they are growing? What do you think is going on with the different colours?<\/li>\n<li>How could we extend the patterns without having to draw out every new term?<\/li>\n<\/ul>\n<h3>Extensions &amp; Adaptations:<\/h3>\n<ul>\n<li>The <a href=\"https:\/\/mathclips.ca\/swfPlayer.html?swfURL=tools\/ColourTiles1.swf&amp;title=Colour%20Tiles\" target=\"_blank\" rel=\"noopener\">Mathies Colour Tiles Tool<\/a> might be useful in building some terms or extending the patterns.<\/li>\n<li>For each pattern, see if you can find a pattern rule that would let you find any term you wanted.<\/li>\n<li>Try organizing the terms of each pattern into a table of values, or you could even try graphing the ordered pairs using <a href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\" rel=\"noopener\">Desmos Online Graphing Calculator<\/a>. Don\u2019t forget the comma and brackets &#8211; i.e., Term three\u2019s ordered pair would be (3, 13) because it is built of 13 squares.<\/li>\n<\/ul>\n<p>Source: Adapted from <a href=\"http:\/\/visualpatterns.org\" target=\"_blank\" rel=\"noopener\">Visualpatterns.org<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Examine the two growing patterns. What do you notice? What do you wonder?<\/p>\n","protected":false},"author":15985,"featured_media":0,"parent":72920,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-73233","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/73233","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=73233"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/73233\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72920"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=73233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=73233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=73233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}