{"id":2114,"date":"2022-05-10T07:00:03","date_gmt":"2022-05-10T12:00:03","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=2114"},"modified":"2022-04-24T13:46:05","modified_gmt":"2022-04-24T18:46:05","slug":"visual-patterns","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/visual-patterns\/","title":{"rendered":"Visual Patterns"},"content":{"rendered":"\r\n<p><iframe loading=\"lazy\" title=\"Where Does The Area of a Circle Formula Come From? | Visual Number Talk Prompts to Promote Reasoning\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/30jxY3IoLb0?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<h2><b>In This Set of Visual Number Talk Prompts\u2026<\/b><\/h2>\r\n<p><span style=\"font-weight: 400;\">Students will extend growing linear visual patterns, make near and far predictions and describe the pattern in words.\u00a0<\/span><\/p>\r\n<h2><b>Intentionality\u2026<\/b><\/h2>\r\n<p><span style=\"font-weight: 400;\">Students will engage in a visual math talk using visual patterns as a means develop a deeper understanding of the following big ideas:\u00a0<\/span><\/p>\r\n<ul>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Patterns can be extended because they are repetitive by nature.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pattern rules are generalizations about a pattern, and they can be described in words.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">One common use of linear patterns is predicting future events.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A pattern can be extended to make a prediction.\u00a0<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">For far predictions, calculations are required for efficiency.\u00a0<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">In a growing pattern, the values increase.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">In a linear pattern, the values increase at the same rate.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The rate can be determined by finding the difference between the value of two terms.\u00a0<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Graphical representations of linear growing patterns appear as straight lines.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The initial value in a linear pattern is the constant.<\/span><\/li>\r\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the initial value is not zero, the relationship between the two variables is not proportional.<\/span><\/li>\r\n<\/ul>\r\n<h2>String of Related Problems<\/h2>\r\n<p><span style=\"font-weight: 400;\">Present the following visual pattern one at a time.\u00a0 Ask students to describe the pattern rule in words, including the initial value. In order to determine the initial value, students are encouraged to determine the value of term 0. <\/span><\/p>\r\n<p><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Ask students to predict the value of the 8th term and the 14th term. Students are encouraged to justify their thinking. Look for opportunities to build efficiency. For example, once students have determined the rate, and the initial value, rather than counting on or repeated addition, can students leverage this information to perform a calculation?\u00a0<\/span><\/p>\r\n<p><br \/><b>For example:<\/b><span style=\"font-weight: 400;\"> In the first pattern, the rate is 3, and the initial value is 1. Students can multiply the term number by 3, and add 1. Term 5 multiplied by 3 is 15, plus 1 is 16. <\/span><\/p>\r\n<h2><b>Visual Number Talk Prompt<\/b><\/h2>\r\n<p><span style=\"font-weight: 400;\">Students prompt:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Use manipulatives or draw what you think might come next.<\/i><\/b><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2115 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-1024x576.jpeg\" alt=\"Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-02-Visual-Math-Talk-Prompt-1-image-001.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">After giving students enough time to create (using square tiles, unifix cubes, etc.) or draw what might come next for Day 3, ask them to share their thinking with their neighbour before sharing out to the class.\u00a0<\/span><\/p>\r\n<p><br \/><span style=\"font-weight: 400;\">Before resuming the video to reveal what the figure for Day 3 looks like, be sure to celebrate the different possibilities shared encouraging them to explain their thinking. It is important to also explicitly explain that while <\/span><b><i>all <\/i><\/b><span style=\"font-weight: 400;\">of the figures shared are all possible, we are going to explore a <\/span><b><i>specific <\/i><\/b><span style=\"font-weight: 400;\">pattern that has a Day 3 figure that looks like this.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2116 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-1024x576.jpeg\" alt=\"Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-03-Visual-Math-Talk-Prompt-1-image-002.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">If any students in the room had successfully anticipated the figure for Day 3, be sure to celebrate and ask students to recall the thinking that those students had shared previously to help them predict what they think might come next for Day 4.\u00a0<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">Student Prompt:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>What might come next for Day 4?<\/i><\/b><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Create a figure using manipulatives or by drawing.<\/i><\/b><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2117 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-1024x576.jpeg\" alt=\"Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-04-Visual-Math-Talk-Prompt-1-image-003.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">Similarly, give students an opportunity to share their thinking with each other. Pay close attention to which students are already noticing a linear growing visual pattern forming and encourage them to continue to verbalize how they see the pattern growing prior to revealing the next figure.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2121 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-1024x576.jpeg\" alt=\"Bird Migration [Day 2] Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-05-Visual-Math-Talk-Prompt-1-image-004.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">Although you may have already encouraged some students to verbalize how they see the visual pattern growing, be sure to explicitly have all students now:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Describe the pattern rule in words.<\/i><\/b><\/p>\r\n<p><span style=\"font-weight: 400;\">It can be helpful to frame this request using a script such as the following:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Pretend that you are on the phone with another student who isn\u2019t present today and cannot see the pattern we are all viewing right now. How would you communicate how they should create each of the first four days in the pattern? <\/i><\/b><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2120 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-1024x576.jpeg\" alt=\"Bird Migration [Day 2] Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-06-Visual-Math-Talk-Prompt-1-image-005.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">At this point, we hope that students are able to articulate the growing visual pattern as something similar to:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Begin with 1 and increase by 3 each time.<\/i><\/b><\/p>\r\n<p><span style=\"font-weight: 400;\">Be prepared for some students to say something like:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Begin with 4 and increase by 3 each time<\/i><\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">However, the true initial value of this linear growing pattern is actually <\/span><b><i>1 <\/i><\/b><span style=\"font-weight: 400;\">and not <\/span><b><i>4<\/i><\/b><span style=\"font-weight: 400;\"> since the true \u201cbeginning\u201d of this pattern is on Day 0, with 3 less than Day 1.<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">At this point, we can challenge students to use their visual pattern rule to:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>What will Day 8 look like?<\/i><\/b><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>What will Day 14 look like?<\/i><\/b><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>Describe how you could construct each figure without simply giving the total number of eggs in each figure.<\/i><\/b><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-2119\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-1024x576.jpeg\" alt=\"Bird Migration [Day 2] Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-07-Visual-Math-Talk-Prompt-1-image-006.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">At this point, the goal is that students are able to articulate this visual pattern growing at a rate of 3 eggs per day after beginning with a single egg.\u00a0<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">Some students might articulate Day 8 as something like:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>8 rows of 3 eggs forming a rectangle with a single egg off of the bottom left corner of the rectangle<\/i><\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-2118\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-1024x576.jpeg\" alt=\"Bird Migration [Day 2] Visual Patterns\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/04\/Bird-Migration-Day-2-Purposeful-Practice-08-Visual-Math-Talk-Prompt-1-image-007.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">Of course, writing out an algebraic expression for this pattern (i.e.: 1 + 3d) or an algebraic equation (i.e.: N = 1 + 3d) can be helpful.\u00a0<\/span><\/p>\r\n<h2>Want to Explore These Concepts &amp; Skills Further?<\/h2>\r\n<p><b><i>Three (3) additional number talk prompts are available<\/i><\/b><span style=\"font-weight: 400;\"> in <\/span><a href=\"https:\/\/learn.makemathmoments.com\/task\/bird-migration-day2\"><span style=\"font-weight: 400;\">Day 2<\/span><\/a><span style=\"font-weight: 400;\"> of the <\/span><a href=\"https:\/\/learn.makemathmoments.com\/task\/bird-migration\"><span style=\"font-weight: 400;\">Bird Migration problem based math unit<\/span><\/a><span style=\"font-weight: 400;\"> that you can dive into now.\u00a0<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">Why not start from the beginning of this contextual 8-day unit of <\/span><a href=\"https:\/\/learn.makemathmoments.com\/tasks\"><span style=\"font-weight: 400;\">real world lessons<\/span><\/a><span style=\"font-weight: 400;\"> from the Make Math Moments Problem Based Units page.<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">Did you use this in your classroom or at home? How\u2019d it go? Post in the comments!<\/span><\/p>\r\n<p><b>Math IS Visual. Let\u2019s teach it that way.<\/b><\/p>","protected":false},"excerpt":{"rendered":"<p>Visual number talk prompts unpacking geometric linear patterns asking students to predict what comes next using rate of change, initial value.<\/p>\n","protected":false},"author":1,"featured_media":2125,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[91,23,92],"tags":[52,53,32,33,34],"series":[90,86,54],"class_list":["post-2114","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-linear-relations","category-number","category-patterning","tag-grade-5","tag-grade-6","tag-grade-7","tag-grade-8","tag-grade-9","series-decimals","series-fractions","series-number-talk"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Visual Patterns | Geometric Linear Visual Pattern Number Talk Prompts<\/title>\n<meta name=\"description\" content=\"Visual number talk prompts unpacking geometric linear patterns asking students to predict what comes next using rate of change, initial value.\" \/>\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\/visual-patterns\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Visual Patterns | Geometric Linear Visual Pattern Number Talk Prompts\" \/>\n<meta property=\"og:description\" content=\"Visual number talk prompts unpacking geometric linear patterns asking students to predict what comes next using rate of change, initial value.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathisvisual.com\/visual-patterns\/\" \/>\n<meta property=\"og:site_name\" content=\"Math Is Visual\" \/>\n<meta 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