{"id":1318,"date":"2019-04-10T20:45:28","date_gmt":"2019-04-11T01:45:28","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=1318"},"modified":"2021-05-10T08:51:34","modified_gmt":"2021-05-10T13:51:34","slug":"one-step-equations","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/one-step-equations\/","title":{"rendered":"Solving One-Step Equations Visually"},"content":{"rendered":"\r\n<p>&nbsp;<\/p>\r\n\r\n<p><iframe loading=\"lazy\" title=\"Solving One Step Equations Visually | Using Partitive Division and Quotative Division\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/R2RmY82b6cQ?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\r\n<p>In this series of <strong>Math Is Visual Prompts<\/strong>, students are given the opportunity to start\u00a0<a href=\"https:\/\/learn.makemathmoments.com\/task\/shot-put\" target=\"_blank\" rel=\"noopener\"><strong>solving one-step equations <\/strong><\/a>and explicitly identifying the type of division that each context lends itself to: <a href=\"https:\/\/mathisvisual.com\/division\/\">partitive or quotative<\/a>.\u00a0<\/p>\r\n<p>Need more help with partitive or quotative division? Check out this <a href=\"https:\/\/learn.makemathmoments.com\/task\/sowing-seeds\" target=\"_blank\" rel=\"noopener\">3 act math task division unit<\/a> that unpacks both types in a conceptual way.<\/p>\r\n<p>We also do our best to model this using the linear model of a number path (precursor to the number line) as well as abstractly using numbers and symbols.<\/p>\r\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>\r\n<p>Let&#8217;s get started&#8230;<\/p>\r\n<p>&nbsp;<\/p>\r\n<h2>Sparking Curiosity: Conceptual Subitizing Number Talk<\/h2>\r\n<p>First, we introduce this series of visual prompts with a really low floor by showing 4 columns of 3 squares, one column at a time before covering them up:\u00a0\u00a0<\/p>\r\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1331 aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-01-Animated-GIF-15-divided-by-2.gif\" alt=\"Solving One-Step Equations - 01 Animated GIF 15 divided by 2\" width=\"480\" height=\"270\" \/><\/h2>\r\n<p>Students are then tasked with convincing their partners of how many squares they observed and how they know.<\/p>\r\n<p>Then, we &#8220;slide in&#8221; a couple of red solo cups:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1330 size-full aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\" alt=\"Solving One-Step Equations - 02 Animated GIF 15 divided by 2 hidden by cups\" width=\"480\" height=\"270\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>The question now becomes:<\/p>\r\n<blockquote>\r\n<p>How many are under each cup if the squares were divided amongst the cups evenly?<\/p>\r\n<\/blockquote>\r\n<p>When you actually provide the concrete manipulatives for students to use, this is a pretty easy activity and\u00a0<strong>all students\u00a0<\/strong>can access this task.\u00a0<\/p>\r\n<p>When you ask students, everyone will say &#8220;6&#8221;, which is great!<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1320 aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.014 revealing 6 under each cup\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.014-revealing-6-under-each-cup.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>However, we want to make sure that they are clearly articulating what is happening here.\u00a0<\/p>\r\n<p>Here&#8217;s one way to do so using a number path (i.e.: a concrete number line):<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1329 size-full aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-03-Partitive-division.gif\" alt=\"Solving One-Step Equations - 03 Partitive division\" width=\"320\" height=\"180\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>Something students (and teachers) can easily miss is that this is a specific type of division known as <a href=\"https:\/\/learn.makemathmoments.com\/task\/whirlpool-aero-car\" target=\"_blank\" rel=\"noopener noreferrer\">partitive division<\/a>.\u00a0<\/p>\r\n<p>Want to learn more about partitive and quotative division? Check out my post on tapintoteenminds.com about the <a href=\"https:\/\/tapintoteenminds.com\/progression-of-division\">progression of division here<\/a>.<\/p>\r\n<p>Now, by all means, we need to help students build procedural fluency over time from conceptual understanding. So, if you feel that time is now, you can also consolidate how to connect it to numbers and symbols abstractly:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1328 aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-04-Partitive-division-symbolically.gif\" alt=\"Solving One-Step Equations - 04 Partitive division symbolically\" width=\"320\" height=\"180\" \/><\/p>\r\n<p>If I can recommend anything about partitive division is really being explicit about the fact that you are actually dividing by <strong>partitioning\u00a0<\/strong>the quantity into\u00a0<strong>parts\u00a0<\/strong>(or groups).\u00a0<\/p>\r\n<h2>Challenge #2: Another Partitive Division Scenario<\/h2>\r\n<p>Here we go:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1321 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.040 21 squares divided into 3 parts\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.040-21-squares-divided-into-3-parts.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>Again, students will quickly determine that the number of squares under each cup must be 7.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1322\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.041 21 squares divided into 3 parts reveal\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.041-21-squares-divided-into-3-parts-reveal.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>Again, the key here is emphasizing that you are using partitive division to\u00a0<strong>partition\u00a0<\/strong>the quantity into 3 equal groups (or fair sharing the cubes to the 3 glasses).<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1323\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.045 partitive division\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.045-partitive-division.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>The video visual prompts also unpacks the symbolic notation as well.<\/p>\r\n<p>&nbsp;<\/p>\r\n<h2>Challenge #3: Quotative Division Scenario<\/h2>\r\n<p>Now, we move on to a <a href=\"https:\/\/learn.makemathmoments.com\/task\/sowing-seeds\" target=\"_blank\" rel=\"noopener\">quotative division<\/a> scenario. With quotative division, we are dividing by the known &#8220;<strong>quota<\/strong>&#8221; or the desired number in each group. When you say &#8220;3 &#8216;gusinta&#8217; (goes into) 21 how many times??&#8221; you are using quotative division language.<\/p>\r\n<p>In this challenge, we are asking:<\/p>\r\n<blockquote>\r\n<p>How many glasses (parts) can you divide 18 squares into if there must be 6 per glass (part)?<\/p>\r\n<\/blockquote>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1324\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.063 18 divided into 6 per part quotative\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.063-18-divided-into-6-per-part-quotative.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>You&#8217;ll notice that with this problem, you can&#8217;t use\u00a0<strong>partitioning<\/strong> as a strategy to solve\u00a0<strong>UNLESS\u00a0<\/strong>you already know the answer due to automaticity or through some other means.\u00a0<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1327 aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-05-Quotative-division-visually-18-divided-by-6-per-part.gif\" alt=\"Solving One-Step Equations - 05 Quotative division visually 18 divided by 6 per part\" width=\"320\" height=\"180\" \/><\/p>\r\n<p>You&#8217;ll note that when you are using <strong>quotative division<\/strong>, you&#8217;re using repeated subtraction (or iterating up from zero, like you&#8217;re multiplying).<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1326\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-1024x576.jpeg\" alt=\"Solving One-Step Equations Visually.070 modelling quotative division\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-Visually.070-modelling-quotative-division.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>Be sure to check out the visual prompts video at the top of the post to get the FULL EFFECT including &#8220;pause bars&#8221; to allow you to pause the video and let kids have think \/ discussion time.<\/p>\r\n<p>&nbsp;<\/p>\r\n<p><span style=\"color: #23282d; font-size: 1.6em; font-weight: 600;\">How&#8217;d It Go?<\/span><\/p>\r\n<p>Thanks for watching and reading!<\/p>\r\n<p>Did you use this in your classroom or at home? How&#8217;d it go? Post in the comments!<\/p>\r\n<p>Interested in diving into problem based units to explore both types of division? Dive into a <a href=\"https:\/\/learn.makemathmoments.com\/task\/whirlpool-aero-car\" target=\"_blank\" rel=\"noopener noreferrer\">problem based unit that explore partitive and quotative division here<\/a>.<\/p>\r\n<p><strong>Math IS Visual. Let&#8217;s teach it that way.<\/strong><\/p>\r\n<p>Be sure to dive into our <a href=\"https:\/\/learn.makemathmoments.com\/tasks\" target=\"_blank\" rel=\"noopener\">engaging math lessons<\/a> that Spark Curiosity and Fuel Sense Making through the use of visuals.<\/p>","protected":false},"excerpt":{"rendered":"<p>In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.<\/p>\n","protected":false},"author":1,"featured_media":1330,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[68,23],"tags":[52,53,32,33,34],"series":[38,67,65,66],"class_list":["post-1318","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-algebra","category-number","tag-grade-5","tag-grade-6","tag-grade-7","tag-grade-8","tag-grade-9","post_format-post-format-video","series-division","series-equations","series-linear-models","series-number-lines"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Solving One-Step Equations Using Partitive and Quotative Division<\/title>\n<meta name=\"description\" content=\"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathisvisual.com\/one-step-equations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solving One-Step Equations Using Partitive and Quotative Division\" \/>\n<meta property=\"og:description\" content=\"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathisvisual.com\/one-step-equations\/\" \/>\n<meta property=\"og:site_name\" content=\"Math Is Visual\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mathisvisual\" \/>\n<meta property=\"article:published_time\" content=\"2019-04-11T01:45:28+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-05-10T13:51:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\" \/>\n\t<meta property=\"og:image:width\" content=\"480\" \/>\n\t<meta property=\"og:image:height\" content=\"270\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/gif\" \/>\n<meta name=\"author\" content=\"kylepearce3\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:site\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"kylepearce3\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/\"},\"author\":{\"name\":\"kylepearce3\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"headline\":\"Solving One-Step Equations Visually\",\"datePublished\":\"2019-04-11T01:45:28+00:00\",\"dateModified\":\"2021-05-10T13:51:34+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/\"},\"wordCount\":696,\"commentCount\":3,\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\",\"keywords\":[\"Grade 5\",\"Grade 6\",\"Grade 7\",\"Grade 8\",\"Grade 9\"],\"articleSection\":[\"Algebra\",\"Number Sense\"],\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathisvisual.com\/one-step-equations\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/\",\"url\":\"https:\/\/mathisvisual.com\/one-step-equations\/\",\"name\":\"Solving One-Step Equations Using Partitive and Quotative Division\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\",\"datePublished\":\"2019-04-11T01:45:28+00:00\",\"dateModified\":\"2021-05-10T13:51:34+00:00\",\"author\":{\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"description\":\"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.\",\"breadcrumb\":{\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#breadcrumb\"},\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathisvisual.com\/one-step-equations\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage\",\"url\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\",\"contentUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif\",\"width\":480,\"height\":270,\"caption\":\"Solving One-Step Equations - 02 Animated GIF 15 divided by 2 hidden by cups\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathisvisual.com\/one-step-equations\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathisvisual.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Solving One-Step Equations Visually\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathisvisual.com\/#website\",\"url\":\"https:\/\/mathisvisual.com\/\",\"name\":\"Math Is Visual\",\"description\":\"Let&#039;s teach it that way.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathisvisual.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-CA\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\",\"name\":\"kylepearce3\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"caption\":\"kylepearce3\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Solving One-Step Equations Using Partitive and Quotative Division","description":"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathisvisual.com\/one-step-equations\/","og_locale":"en_US","og_type":"article","og_title":"Solving One-Step Equations Using Partitive and Quotative Division","og_description":"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.","og_url":"https:\/\/mathisvisual.com\/one-step-equations\/","og_site_name":"Math Is Visual","article_publisher":"https:\/\/www.facebook.com\/mathisvisual","article_published_time":"2019-04-11T01:45:28+00:00","article_modified_time":"2021-05-10T13:51:34+00:00","og_image":[{"width":480,"height":270,"url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif","type":"image\/gif"}],"author":"kylepearce3","twitter_card":"summary_large_image","twitter_creator":"@mathisvisual","twitter_site":"@mathisvisual","twitter_misc":{"Written by":"kylepearce3","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathisvisual.com\/one-step-equations\/#article","isPartOf":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/"},"author":{"name":"kylepearce3","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"headline":"Solving One-Step Equations Visually","datePublished":"2019-04-11T01:45:28+00:00","dateModified":"2021-05-10T13:51:34+00:00","mainEntityOfPage":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/"},"wordCount":696,"commentCount":3,"image":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif","keywords":["Grade 5","Grade 6","Grade 7","Grade 8","Grade 9"],"articleSection":["Algebra","Number Sense"],"inLanguage":"en-CA","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathisvisual.com\/one-step-equations\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathisvisual.com\/one-step-equations\/","url":"https:\/\/mathisvisual.com\/one-step-equations\/","name":"Solving One-Step Equations Using Partitive and Quotative Division","isPartOf":{"@id":"https:\/\/mathisvisual.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage"},"image":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif","datePublished":"2019-04-11T01:45:28+00:00","dateModified":"2021-05-10T13:51:34+00:00","author":{"@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"description":"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving One-Step Equations Using Partitive and Quotative Division.","breadcrumb":{"@id":"https:\/\/mathisvisual.com\/one-step-equations\/#breadcrumb"},"inLanguage":"en-CA","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathisvisual.com\/one-step-equations\/"]}]},{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/one-step-equations\/#primaryimage","url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif","contentUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/04\/Solving-One-Step-Equations-02-Animated-GIF-15-divided-by-2-hidden-by-cups.gif","width":480,"height":270,"caption":"Solving One-Step Equations - 02 Animated GIF 15 divided by 2 hidden by cups"},{"@type":"BreadcrumbList","@id":"https:\/\/mathisvisual.com\/one-step-equations\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathisvisual.com\/"},{"@type":"ListItem","position":2,"name":"Solving One-Step Equations Visually"}]},{"@type":"WebSite","@id":"https:\/\/mathisvisual.com\/#website","url":"https:\/\/mathisvisual.com\/","name":"Math Is Visual","description":"Let&#039;s teach it that way.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathisvisual.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-CA"},{"@type":"Person","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e","name":"kylepearce3","image":{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","caption":"kylepearce3"}}]}},"_links":{"self":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/comments?post=1318"}],"version-history":[{"count":4,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1318\/revisions"}],"predecessor-version":[{"id":1575,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1318\/revisions\/1575"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media\/1330"}],"wp:attachment":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media?parent=1318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/categories?post=1318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/tags?post=1318"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/series?post=1318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}