{"id":4430,"date":"2017-05-21T08:43:10","date_gmt":"2017-05-21T16:43:10","guid":{"rendered":"http:\/\/www.familymathnight.com\/blog\/?p=4430"},"modified":"2019-12-18T09:23:32","modified_gmt":"2019-12-18T17:23:32","slug":"4430","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=4430","title":{"rendered":"What Do You Notice?  Descriptions"},"content":{"rendered":"<div>It&#8217;s been on my TO DO list for a long time. \u00a0Years, in fact. \u00a0But I&#8217;ve finally checked it off and I&#8217;m thrilled with the results.<\/div>\n<p><\/p>\n<div>As many of you know, for each of my Family Math Night events I include a <em><a href=\"http:\/\/familymathnight.com\/resources\/familymathnight-notice.php\" target=\"_blank\" rel=\"noopener noreferrer\" shape=\"rect\">What Do You Notice?<\/a><\/em> poster. \u00a0These posters are designed to get kids and parents thinking about math on a deeper level. \u00a0Although each poster has been included on our website, there has never been details&#8230;until now. \u00a0I&#8217;ve taken each of the posters and written a thorough description of the math involved. \u00a0I&#8217;ve also included the specific skills by grade span, K-2 and 3-5, and given several examples of student responses.<\/div>\n<p><\/p>\n<div>Here&#8217;s an example:<\/div>\n<p><\/p>\n<div><strong>What Do You Notice? <em>Rectangular Arrays<\/em><\/strong><\/div>\n<p>&nbsp;<\/p>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-4290 aligncenter\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster-450x338.jpg 450w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster-360x270.jpg 360w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster.jpg 640w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div>\n<p><strong>Skills<\/strong><br \/>\nPrimary students (K-2):\u00a0shapes, counting, repeated addition, area<\/p>\n<\/div>\n<p>Intermediate students (3-5):\u00a0classifying quadrilaterals, area model of multiplication, multiplication, prime, composite, and square numbers<\/p>\n<\/div>\n<p><strong>Mathematical Background<\/strong><br \/>\nFor this one, I represented each number as a rectangular array. I also color-coded the arrays hoping that students would notice the relationship between the colors and the arrays that went with them. Notice how the orange arrays are square numbers. The red arrays are our prime numbers. Then I used blue for arrays that were non-square and had a length of two. Purple was non-square with a length of three.<\/p>\n<p>I was also hoping that students would notice that some numbers were represented by more than one array (composite numbers). Prime numbers had only one array. Note: &#8216;1&#8217; is not a prime number which is why I colored it orange &#8211; the color of the square numbers.<\/p>\n<p>This activity does a nice job of visually reinforcing the area model of multiplication: L x W = A<\/p>\n<p><strong>Sample Student Responses<\/strong><\/p>\n<div>\n<div>&#8220;The long grid before the square and\/or rectangle grid(s) have the same number of blocks.&#8221;<\/div>\n<div>&#8220;None of them are the same.&#8221;<\/div>\n<div>&#8220;There is a color pattern.&#8221;<\/div>\n<div>&#8220;Some numbers are on there more than once.&#8221;<\/div>\n<p><\/p>\n<div>The idea is to make it easier for you to include these posters at your events. \u00a0But it&#8217;s not just limited to Family Math Night events. \u00a0Teachers have written me about how they include them in their classroom learning and some are even displaying them in the school hallways to give students something to think about as they walk the halls.<\/div>\n<p><\/p>\n<div>However you decide to use them, I know they&#8217;ll help your students explore math in new and exciting ways.<\/div>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p style=\"text-align: center;\"><b>What Do You Notice? <i>Rectangular Arrays<\/i><\/b><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/04\/retangular-array-numbers-poster.jpg\" style=\"display: block; margin-left: auto; margin-right: auto; width: 50%;\"><\/p>\n<hr>\n<p><b> Skills:  <\/b> <br \/> Primary students (K-2): shapes, counting, repeated addition, area <br \/> Intermediate students (3-5): classifying quadrilaterals, area model of multiplication, multiplication, prime, composite, and square numbers<\/p>\n<hr>\n<p>It\u2019s been on my TO DO list for a long time.  Years, in fact.  But I\u2019ve finally checked it off and I\u2019m thrilled with the results.<br \/>\n<br \/>\nAs many of you know, for each of my Family Math Night events I include a What Do You Notice? poster.  These posters are designed to get kids and parents thinking about math on a deeper level.  Although each poster has been included on our website, there has never been details\u2026until now.  I\u2019ve taken each of the posters and written a thorough description of the math involved.  I\u2019ve also included the specific skills by grade span, K-2 and 3-5, and given several examples of student responses.<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"http:\/\/www.familymathnight.com\/blog\/?p=4430\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[123,76,54,46,51,44,184,45,52],"tags":[102,83,81,63,88,21,61],"class_list":["post-4430","post","type-post","status-publish","format-standard","hentry","category-activities","category-family-math-night-2","category-geometry-kids-and-math-3-5","category-geometry","category-kids-and-math-3-5","category-kids-and-math","category-elementary-mathematics-2","category-number-sense","category-number-and-operations","tag-common-core-state-standards","tag-family-math","tag-family-math-night-activities","tag-geometry-2","tag-hands-on-math","tag-karyn-hodgens","tag-number-sense-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What Do You Notice? Descriptions - Karyn&#039;s Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=4430\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What Do You Notice? Descriptions - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"What Do You Notice? Rectangular Arrays     Skills:  Primary students (K-2): shapes, counting, repeated addition, area Intermediate students (3-5): classifying quadrilaterals, area model of multiplication, multiplication, prime, composite, and square numbers  It\u2019s been on my TO DO list for a long time. Years, in fact. But I\u2019ve finally checked it off and I\u2019m thrilled with the results.  As many of you know, for each of my Family Math Night events I include a What Do You Notice? poster. These posters are designed to get kids and parents thinking about math on a deeper level. Although each poster has been included on our website, there has never been details\u2026until now. I\u2019ve taken each of the posters and written a thorough description of the math involved. I\u2019ve also included the specific skills by grade span, K-2 and 3-5, and given several examples of student responses.   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