{"id":4907,"date":"2021-05-26T14:47:39","date_gmt":"2021-05-26T22:47:39","guid":{"rendered":"http:\/\/www.familymathnight.com\/blog\/?p=4907"},"modified":"2022-03-10T16:31:31","modified_gmt":"2022-03-11T00:31:31","slug":"4907","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=4907","title":{"rendered":"What Do You Notice? Array Model"},"content":{"rendered":"<p><a href=\"https:\/\/familymathnight.com\/resources\/familymathnight-notice.php\"><em>What Do You Notice?<\/em><\/a>&nbsp;is a super easy activity that lends itself well to a lot of great math thinking and conversation. These low floor, high ceiling posters are a great way to engage families during a Family Math Night event. That&#8217;s why we included them in our&nbsp;<a href=\"https:\/\/familymathnight.com\/kits\/virtualfamilymathnight\/\">Virtual Family Math Night<\/a>.<\/p>\n<p><strong>Skills<\/strong><\/p>\n<p>K-2:&nbsp;geometry, counting, repeated addition<\/p>\n<p>3-5: geometry, single- and double-digit multiplication, distributive property of multiplication, array model of multiplication<\/p>\n<p><strong>Background Information<\/strong><\/p>\n<p>What\u2019s really cool about multiplication is that no matter what two numbers are multiplied together, geometrically the result creates a rectangular array*.&nbsp;That\u2019s because multiplication is simply repeated addition.&nbsp;The color coding of the poster array helps students visualize this repeated addition.&nbsp;For example, the pink rectangle represents 3 + 3 + 3 + 3 + 3 and so on.&nbsp;But equally clear is that the problem 14 x 13 is 14 rows of 13:&nbsp;13 + 13 + 13 + 13 + 13\u2026<\/p>\n<p>The other really cool thing is that we can break that visual representation down into partial products.&nbsp;For example, the array on the poster represents the problem 14 x 13.&nbsp;Using partial products to solve the problem would look like:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-4908\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2021\/07\/ArrayModel-85x300.png\" alt=\"\" width=\"85\" height=\"300\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2021\/07\/ArrayModel-85x300.png 85w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2021\/07\/ArrayModel.png 117w\" sizes=\"auto, (max-width: 85px) 100vw, 85px\" \/><\/p>\n<div>Each one of the partial products is clearly visible in the array model.&nbsp;When we break apart the factors into addends (10 + 4 and 10 + 3) and then multiply, we\u2019re using the distributive property of multiplication.&nbsp; This array is a great example of how the different topics in math can help support each other\u2026in our case how geometry can show how numbers work.<\/div>\n<div><\/div>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Do You Notice?&nbsp;is a super easy activity that lends itself well to a lot of great math thinking and conversation. These low floor, high ceiling posters are a great way to engage families during a Family Math Night event. That&#8217;s why we included them in our&nbsp;Virtual Family Math Night. Skills K-2:&nbsp;geometry, counting, repeated addition 3-5: geometry, single- and double-digit multiplication, distributive property of multiplication, array model of multiplication Background Information What\u2019s really cool about multiplication is that no matter&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=4907\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":4954,"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":[123,56,76,161,54,46,51,44,184,53,49,52,45,58],"tags":[102,81,88,71],"class_list":["post-4907","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-activities","category-algebra-kids-and-math-3-5","category-family-math-night-2","category-fractions-kids-and-math-3-5","category-geometry-kids-and-math-3-5","category-geometry","category-kids-and-math-3-5","category-kids-and-math","category-elementary-mathematics-2","category-measurement-kids-and-math-3-5","category-measurement","category-number-and-operations","category-number-sense","category-problem-solving-kids-and-math","tag-common-core-state-standards","tag-family-math-night-activities","tag-hands-on-math","tag-k-5-math-lessons"],"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? Array Model - 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=4907\" \/>\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? Array Model - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"What Do You Notice?&nbsp;is a super easy activity that lends itself well to a lot of great math thinking and conversation. These low floor, high ceiling posters are a great way to engage families during a Family Math Night event. That&#8217;s why we included them in our&nbsp;Virtual Family Math Night. Skills K-2:&nbsp;geometry, counting, repeated addition 3-5: geometry, single- and double-digit multiplication, distributive property of multiplication, array model of multiplication Background Information What\u2019s really cool about multiplication is that no matter... Read More Read More\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.familymathnight.com\/blog\/?p=4907\" \/>\n<meta property=\"og:site_name\" content=\"Karyn&#039;s Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/familymathnight\" \/>\n<meta property=\"article:published_time\" content=\"2021-05-26T22:47:39+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-11T00:31:31+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2021\/05\/arraymodelofmultiplication-e1646958679460.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"400\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Karyn\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Karyn\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.familymathnight.com\/blog\/?p=4907#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.familymathnight.com\/blog\/?p=4907\"},\"author\":{\"name\":\"Karyn\",\"@id\":\"https:\/\/www.familymathnight.com\/blog\/#\/schema\/person\/8315e40892235d198a376ee61ef7f093\"},\"headline\":\"What Do You Notice? 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