{"id":4510,"date":"2017-11-28T08:15:54","date_gmt":"2017-11-28T16:15:54","guid":{"rendered":"http:\/\/www.familymathnight.com\/blog\/?p=4510"},"modified":"2019-12-16T10:02:16","modified_gmt":"2019-12-16T18:02:16","slug":"what-do-you-notice-poster-crossed-lines","status":"publish","type":"post","link":"https:\/\/www.familymathnight.com\/blog\/?p=4510","title":{"rendered":"What Do You Notice? poster &#8211; Crossed Lines"},"content":{"rendered":"<div>\n<p>Here&#8217;s my latest\u00a0<em>What Do You Notice?<\/em>\u00a0poster.\u00a0 All you need is inch graph paper, a black sharpie, and small circular stickers (or two different colored sharpie pens to draw in the circles).<\/p>\n<div><\/div>\n<div><\/div>\n<div>\n<div><strong>Title: \u00a0Crossed Lines<\/strong><\/div>\n<\/div>\n<div><\/div>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-4511 aligncenter\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1-300x225.jpg 300w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1-450x338.jpg 450w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1-360x270.jpg 360w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1.jpg 640w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div>\n<div><strong>Skills<\/strong><\/div>\n<div>\n<div>K-2:\u00a0 colors, counting, even\/odd numbers<\/div>\n<div>\n<p>3-5:\u00a0 multiplication, even\/odd numbers, multiples of 3, square numbers<\/p>\n<div><\/div>\n<\/div>\n<div><\/div>\n<div><strong>Background Information<\/strong><br \/>\nCrossed lines is an easy strategy for learning multiplication facts.\u00a0 The horizontal and vertical lines represent the factors in the multiplication problem.\u00a0 For example, in the problem 4 x 3, students would draw 4 horizontal lines and then intersect them with 3 vertical lines as is shown in the last example above.\u00a0 The intersection of the lines is the answer to the problem.\u00a0 So for 4 x 3, there would be 12 intersections.<\/p>\n<div><\/div>\n<div><\/div>\n<div>To make the strategy more visible, I used colored dots to highlight the intersections.\u00a0 I was deliberate in the colors I chose.\u00a0 The green dots represent an even product and the pink dots represent an odd product.\u00a0 Notice how all the products are multiples of 3.\u00a0 At a higher level, older students may notice that 3 x 3 makes a square and 9 is a square number.<\/div>\n<\/div>\n<div><\/div>\n<div>\n<p>Here&#8217;s what it looked like at the event:<\/p>\n<div><\/div>\n<\/div>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-4512 aligncenter\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines-main-e1511885463371-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines-main-e1511885463371-225x300.jpg 225w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines-main-e1511885463371-450x600.jpg 450w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines-main-e1511885463371-203x270.jpg 203w, https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines-main-e1511885463371.jpg 480w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p><img decoding=\"async\" src=\"http:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1.jpg\" style=\"display: block; margin-left: auto; margin-right: auto; width: 50%;\"><\/p>\n<hr>\n<p><b> Skills:  <\/b> <br \/> K-2:  colors, counting, even\/odd numbers<br \/>3-5:  multiplication, even\/odd numbers, multiples of 3, square numbers<\/p>\n<hr>\n<p>Crossed lines is an easy strategy for learning multiplication facts.  The horizontal and vertical lines represent the factors in the multiplication problem.  For example, in the problem 4 x 3, students would draw 4 horizontal lines and then intersect them with 3 vertical lines as is shown in the last example above.  The intersection of the lines is the answer to the problem.  So for 4 x 3, there would be 12 intersections.<br \/>\n<br \/>\nTo make the strategy more visible, I used colored dots to highlight the intersections.  I was deliberate in the colors I chose.  The green dots represent an even product and the pink dots represent an odd product.  Notice how all the products are multiples of 3.  At a higher level, older students may notice that 3 x 3 makes a square and 9 is a square number.<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"http:\/\/www.familymathnight.com\/blog\/?p=4510\"> 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":[123,76,51,44,184,45,52],"tags":[93,102,81,88,73,61,142],"class_list":["post-4510","post","type-post","status-publish","format-standard","hentry","category-activities","category-family-math-night-2","category-kids-and-math-3-5","category-kids-and-math","category-elementary-mathematics-2","category-number-sense","category-number-and-operations","tag-beginning-multiplication","tag-common-core-state-standards","tag-family-math-night-activities","tag-hands-on-math","tag-multiplication-facts","tag-number-sense-2","tag-parent-engagement"],"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? poster - Crossed Lines - 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=4510\" \/>\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? poster - Crossed Lines - Karyn&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Skills:  K-2: colors, counting, even\/odd numbers3-5: multiplication, even\/odd numbers, multiples of 3, square numbers  Crossed lines is an easy strategy for learning multiplication facts. The horizontal and vertical lines represent the factors in the multiplication problem. For example, in the problem 4 x 3, students would draw 4 horizontal lines and then intersect them with 3 vertical lines as is shown in the last example above. The intersection of the lines is the answer to the problem. So for 4 x 3, there would be 12 intersections.  To make the strategy more visible, I used colored dots to highlight the intersections. I was deliberate in the colors I chose. The green dots represent an even product and the pink dots represent an odd product. Notice how all the products are multiples of 3. At a higher level, older students may notice that 3 x 3 makes a square and 9 is a square number.   Read More Read More\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.familymathnight.com\/blog\/?p=4510\" \/>\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=\"2017-11-28T16:15:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2019-12-16T18:02:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.familymathnight.com\/blog\/wp-content\/uploads\/2017\/11\/crossedlines1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"640\" \/>\n\t<meta property=\"og:image:height\" content=\"480\" \/>\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=4510#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.familymathnight.com\/blog\/?p=4510\"},\"author\":{\"name\":\"Karyn\",\"@id\":\"https:\/\/www.familymathnight.com\/blog\/#\/schema\/person\/8315e40892235d198a376ee61ef7f093\"},\"headline\":\"What Do You Notice? 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