{"id":1337,"date":"2019-05-06T20:58:48","date_gmt":"2019-05-07T01:58:48","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=1337"},"modified":"2021-05-10T08:48:36","modified_gmt":"2021-05-10T13:48:36","slug":"two-step-equations","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/two-step-equations\/","title":{"rendered":"Solving Two-Step Equations Visually"},"content":{"rendered":"\r\n<p>&nbsp;<\/p>\r\n\r\n<p><iframe loading=\"lazy\" title=\"Solving Two Step Equations Visually [Part 1] Math Is Visual\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/rMiatZIViJI?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<strong>solving two-step equations <\/strong>with\u00a0<a href=\"https:\/\/mathisvisual.com\/division\/\">partitive division<\/a> through the use of cups to hide &#8220;squares&#8221; or connecting cubes where the cups are acting as the &#8220;parts&#8221; or &#8220;groups&#8221; in partitive division.<\/p>\r\n<p>Need more support with partitive division? Consider diving into these resources:<\/p>\r\n<ul>\r\n<li>A full <a href=\"https:\/\/learn.makemathmoments.com\/task\/sowing-seeds\" target=\"_blank\" rel=\"noopener\">partitive and quotative division problem based unit<\/a><\/li>\r\n<li>Lessons using both types of <a href=\"https:\/\/learn.makemathmoments.com\/task\/niagara-falls\" target=\"_blank\" rel=\"noopener\">division with larger whole numbers<\/a><\/li>\r\n<li><a href=\"https:\/\/learn.makemathmoments.com\/task\/salting-the-driveway\" target=\"_blank\" rel=\"noopener\">Partitive Division of Fractions 3 Act Math Task<\/a> unit<\/li>\r\n<\/ul>\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 these squares before quickly covering them up:\u00a0\u00a0<\/p>\r\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1338\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.006 Question 1 squares\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.006-Question-1-squares.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/h2>\r\n<p>Covered up:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1339\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.011 15 squares covered up\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.011-15-squares-covered-up.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\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 and reveal:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1340\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.014 how many squares are under each cup\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.014-how-many-squares-are-under-each-cup.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/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 (partitively) 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;4&#8221;, which is great!<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1341\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.018 question 1 reveal\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.018-question-1-reveal.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>Something students (and teachers) can easily miss is that this is a specific type of division known as <strong>partitive division<\/strong>.\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<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 size-large wp-image-1342\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.024 question 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.024-question-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>Students are then asked to determine how many squares before we cover them up and to say how they &#8220;saw&#8221; the squares.<\/p>\r\n<p>Then, they are tasked to determine how many squares are under each of the cups now:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1343\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.031 how many under each cup\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.031-how-many-under-each-cup.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>With the use of manipulatives or mental math strategies, students will be able to come up with &#8220;7&#8221; as the result:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1344\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.034 question 2 reveal\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.034-question-2-reveal.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h2>Challenge #3:\u00a0<\/h2>\r\n<p>Here&#8217;s the last challenge:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1345\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.039 question 3\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.039-question-3.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>Again, students will be able to come up with &#8220;6&#8221; as the result:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1346\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.042 reveal\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.042-reveal.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>Now, let&#8217;s tie this to a linear model using a number path (or concrete number line using connecting cubes):<\/p>\r\n<p>&nbsp;<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1347\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.050 question 3 using number line\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.050-question-3-using-number-line.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>This becomes pretty intuitive when we see it this way.<\/p>\r\n<p>Now, let&#8217;s connect it to algebra:<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1350 aligncenter\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1-Question-3-Algebraic-GIF.gif\" alt=\"Post 42 - Solving Two-Step Equations - Part 1 Question 3 Algebraic GIF\" width=\"480\" height=\"270\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1349\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-1024x576.jpeg\" alt=\"Post 42 - Solving Two-Step Equations - Part 1.062 question 3 algebraic\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2019\/05\/Post-42-Solving-Two-Step-Equations-Part-1.062-question-3-algebraic.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p>&nbsp;<\/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>If you&#8217;re looking to explore further, check out this problem based unit with a focus on <a href=\"https:\/\/learn.makemathmoments.com\/task\/shot-put\" target=\"_blank\" rel=\"noopener noreferrer\">evaluating expressions and solving equations<\/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\">real world math problems<\/a>\u00a0that 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 Two-Step Equations Using Partitive Division Scenarios.<\/p>\n","protected":false},"author":1,"featured_media":1350,"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-1337","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 Two-Step Equations Using Partitive Division Scenarios<\/title>\n<meta name=\"description\" content=\"In this series of Math Is Visual Prompts, we slowly introduce the idea of Solving Two-Step Equations Using Partitive Division Scenarios.\" \/>\n<meta name=\"robots\" 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