{"id":1302,"date":"2019-04-01T20:22:20","date_gmt":"2019-04-02T01:22:20","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=1302"},"modified":"2019-04-01T20:22:29","modified_gmt":"2019-04-02T01:22:29","slug":"number-path-compare","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/number-path-compare\/","title":{"rendered":"Comparing and Ordering On A Number Path"},"content":{"rendered":"\n<p><\/p>\n\n\n<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/jWPz2YYIE0E?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>In this series of <strong>Math Is Visual Prompts<\/strong>, students are given the opportunity to start\u00a0<strong>comparing <\/strong>and <strong>ordering <\/strong>numbers through the use of an early linear model through the use of &#8220;<strong>number paths<\/strong>&#8221; on their developmental trajectory towards the eventual use of the much more abstract <strong>number line<\/strong>.<\/p>\n<p>As always, the visuals provided as a consolidation are useful AFTER students are given the opportunity to work with these ideas <strong>concretely<\/strong> and after consolidating in the classroom through student work.<\/p>\n<p>Let&#8217;s get started&#8230;<\/p>\n<p>\u00a0<\/p>\n<h2>Placing Numbers On The Number Path Spatially<\/h2>\n<p>First, we must introduce the number path. There is <a href=\"https:\/\/mathisvisual.com\/number-paths\/\">another activity here<\/a> that might be beneficial if students have not experienced a number path as of yet.\u00a0\u00a0<\/p>\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1304\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.025 Number path\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.025-Number-path.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/h2>\n<p>In this activity, we&#8217;ll be &#8220;covering up&#8221; the number path with a bar model to let students have the opportunity to try and spatially compare and order quantities from 1 to 10.<\/p>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1311\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Bar-Model-GIF.gif\" alt=\"Number Path Bar Model GIF\" width=\"640\" height=\"360\" \/><\/p>\n<p>\u00a0<\/p>\n<p>Then, it&#8217;s time to start using our spatial reasoning skills to visualize where different quantities will go on the bar model.<\/p>\n<h2>Challenge #1: Where Does 2 Go?<\/h2>\n<p>We first start with 2:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1306\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.032 where does 2 go\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.032-where-does-2-go.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u00a0<\/p>\n<p>Students are instructed to &#8220;tell a neighbour&#8221;. What I&#8217;m envisioning here is giving students the opportunity to try and describe where 2 might go&#8230; to the left? &#8230;to the right? &#8230;near the middle? Where about on the bar might 2 go? Be sure to pause the animation to give students some think and share time with their neighbour(s).<\/p>\n<p>Then, we give them 3 possible spots to place 2. Does it go on the green, teal, or yellow square?<\/p>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1307\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.035 does 2 go on the green, teal, or yellow square\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.035-does-2-go-on-the-green-teal-or-yellow-square.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u00a0<\/p>\n<h2>Challenge #2: Where Does 8 Go?<\/h2>\n<p>Then we move to the other end of the bar and ask students where 8 would go. The advantage this time is that now one of the quantities (2) is showing on the bar to promote the idea of relating 2 and 8 spatially.\u00a0<\/p>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1308\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.043 where does 8 go\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.043-where-does-8-go.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u00a0<\/p>\n<h2>Challenge #3 &amp; 4: Where Do We Put 4? 6?<\/h2>\n<p>Two more challenges that ask students where they would put 4 and then 6&#8230;<\/p>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1309\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.048 where does 4 go\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.048-where-does-4-go.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1310\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-1024x576.jpeg\" alt=\"Number Path - Compare and Order Numbers Spatially.053 where does 6 go\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Number-Path-Compare-and-Order-Numbers-Spatially.053-where-does-6-go.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u00a0<\/p>\n<p>It is important for students to build an understanding of numbers relative to other numbers on the number line and this early activity will help to get them building that spatial understanding.<\/p>\n<p><span style=\"color: #23282d; font-size: 1.6em; font-weight: 600;\">How&#8217;d It Go?<\/span><\/p>\n<p>Thanks for watching and reading!<\/p>\n<p>Did you use this in your classroom or at home? How&#8217;d it go? Post in the comments!<\/p>\n<p>Math IS Visual. Let&#8217;s teach it that way.<\/p>","protected":false},"excerpt":{"rendered":"<p>In this series of Math Is Visual Prompts, we slowly introduce the idea of a linear model (i.e.: number line) by placing numbers on the number path.<\/p>\n","protected":false},"author":1,"featured_media":1313,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[23],"tags":[49,50,28],"series":[65,63],"class_list":["post-1302","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-number","tag-grade-1","tag-grade-2","tag-kindergarten","post_format-post-format-video","series-linear-models","series-measurement"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Comparing and Ordering Numbers Using A Number Path Spatially<\/title>\n<meta name=\"description\" content=\"In this series of Math Is Visual Prompts, 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