{"id":2584,"date":"2012-09-10T06:08:11","date_gmt":"2012-09-10T14:08:11","guid":{"rendered":"http:\/\/kidnexions.com\/blog\/?p=2584"},"modified":"2012-10-05T06:58:22","modified_gmt":"2012-10-05T14:58:22","slug":"number-theory-square-numbers","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=2584","title":{"rendered":"Number Theory:  Square Numbers"},"content":{"rendered":"<p><a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=2590\" rel=\"attachment wp-att-2590\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-12.25.09-300x225.jpg\" alt=\"\" title=\"square number patterns\" width=\"300\" height=\"225\" class=\"aligncenter size-medium wp-image-2590\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-12.25.09-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-12.25.09-450x337.jpg 450w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><br \/>\n<figure id=\"attachment_2589\" aria-describedby=\"caption-attachment-2589\" style=\"width: 225px\" class=\"wp-caption alignleft\"><a href=\"http:\/\/kidnexions.com\/blog\/?attachment_id=2589\" rel=\"attachment wp-att-2589\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/kidnexions.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-08.35.10-225x300.jpg\" alt=\"\" title=\"square numbers\" width=\"225\" height=\"300\" class=\"size-medium wp-image-2589\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-08.35.10-225x300.jpg 225w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-08.35.10-450x600.jpg 450w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2012\/09\/2012-09-08-08.35.10.jpg 1920w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><figcaption id=\"caption-attachment-2589\" class=\"wp-caption-text\">www.FamilyMathNight.com<\/figcaption><\/figure>Making rectangular arrays with tiles is a great visual way to have students understand multiplication as repeated addition.  And since we&#8217;re making arrays anyway, why not tie in square numbers.  A square number is:  1) A number that can be expressed as the product of the same two numbers.   2) The product of a number multiplied by itself.  When making rectangluar arrays, square nuumbers (1, 4, 9, 16&#8230;) always make a square.<\/p>\n<p>Besides, there are some very neat patterns that occur in square numbers and I want my students to see them.  Looking for patterns in numbers shows students that there really is rhyme and reason to math.  When kids know that math makes sense, they are more likely to persist at understanding it.<\/p>\n<p>These examples are from fourth grade.  For my high students, we talk about exponential notation then they record the appropriate notation for each square number.<\/p>\n<p>CCSS: 3.OA.1; 3.OA.9<br \/>\nTEKS 4th grade: NO4C<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Making rectangular arrays with tiles is a great visual way to have students understand multiplication as repeated addition. And since we&#8217;re making arrays anyway, why not tie in square numbers. A square number is: 1) A number that can be expressed as the product of the same two numbers. 2) The product of a number multiplied by itself. When making rectangluar arrays, square nuumbers (1, 4, 9, 16&#8230;) always make a square. Besides, there are some very neat patterns that&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.familymathnight.com\/blog\/?p=2584\"> 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":[123,56,76,51,52],"tags":[101,102,69,81,88,67,71,21,22,62,96,61],"class_list":["post-2584","post","type-post","status-publish","format-standard","hentry","category-activities","category-algebra-kids-and-math-3-5","category-family-math-night-2","category-kids-and-math-3-5","category-number-and-operations","tag-ccss","tag-common-core-state-standards","tag-family-math-night","tag-family-math-night-activities","tag-hands-on-math","tag-k-5-math","tag-k-5-math-lessons","tag-karyn-hodgens","tag-kidnexions","tag-math-patterns","tag-multiplication","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>Number Theory: Square Numbers - 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=2584\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Number Theory: Square Numbers - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Making rectangular arrays with tiles is a great visual way to have students understand multiplication as repeated addition. And since we&#8217;re making arrays anyway, why not tie in square numbers. A square number is: 1) A number that can be expressed as the product of the same two numbers. 2) The product of a number multiplied by itself. When making rectangluar arrays, square nuumbers (1, 4, 9, 16&#8230;) always make a square. Besides, there are some very neat patterns that... 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