{"id":74257,"date":"2020-06-19T12:08:53","date_gmt":"2020-06-19T16:08:53","guid":{"rendered":"http:\/\/schools.wrdsb.ca\/athome\/?page_id=74257"},"modified":"2020-06-19T12:08:53","modified_gmt":"2020-06-19T16:08:53","slug":"comparing-visual-growing-patterns-revisited","status":"publish","type":"page","link":"https:\/\/schools.wrdsb.ca\/athome\/learn\/elementary-home\/elementary-2\/math\/math-grades-4-6\/whats-new\/comparing-visual-growing-patterns-revisited\/","title":{"rendered":"Comparing Visual Growing Patterns (Revisited)"},"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<h5><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-74258\" src=\"http:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1.png\" alt=\"Two growing patterns represented visually by coloured squares. The first pattern is a 2x4 grid of squares with some blue squares attached to the right side. Term 1 is built of 10 squares, Term 2 is built of 12 squares, and Term 3 is built of 14 squares. The second pattern is a pair of squares, with squares on the left, right, and top growing outwards. Its Term 1 is built of 5 squares, Term 2 is built of 8 squares, and Term 3 is built of 11 squares.\" width=\"500\" height=\"310\" srcset=\"https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1.png 1600w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-300x186.png 300w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-768x476.png 768w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-1024x634.png 1024w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-165x102.png 165w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-1140x706.png 1140w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-945x585.png 945w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-750x465.png 750w, https:\/\/schools.wrdsb.ca\/athome\/files\/2020\/06\/VGP_1-200x125.png 200w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/h5>\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>Will the purple pattern always have a larger value than the green pattern? How do you know?<br \/>\nWhat Term is especially important in figuring this out?<\/p>\n<p>What would Term 10 look like for each pattern? How do you know?<\/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 in the green pattern would be (3, 11) because it is built of 11 squares.<\/li>\n<\/ul>\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":72895,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-74257","page","type-page","status-publish","hentry","category-elementary"],"_links":{"self":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/74257","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=74257"}],"version-history":[{"count":0,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/74257\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/pages\/72895"}],"wp:attachment":[{"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/media?parent=74257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/categories?post=74257"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schools.wrdsb.ca\/athome\/wp-json\/wp\/v2\/tags?post=74257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}