{"id":2338,"date":"2022-08-24T07:30:49","date_gmt":"2022-08-24T12:30:49","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=2338"},"modified":"2022-08-23T10:51:55","modified_gmt":"2022-08-23T15:51:55","slug":"multiplying-negative-integers-through-patterning","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/multiplying-negative-integers-through-patterning\/","title":{"rendered":"Multiplying Negative Integers Through"},"content":{"rendered":"\r\n<p><iframe loading=\"lazy\" title=\"Multiplying Negative Integers Through Patterning | Emerging Multiplying Negative Integers\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/_dpart8CsI8?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>Students will explore integer subtraction through a real world contextual situation involving rising and falling temperatures.<\/p>\r\n<h2>String of Related Problems<\/h2>\r\n<p><span style=\"font-weight: 400;\">In today\u2019s math talk, present the following graphical representations of patterns one at a time. For each pattern, ask students to create a context, describe the pattern rule in words, extend the pattern to 6 terms, and predict the value of the 15th term. Students are encouraged to turn and talk before sharing their responses with the larger group. When asked to determine the value of the 15th term, students should justify their answer.\u00a0<\/span><\/p>\r\n<h2><b>Visual Math Talk Prompt #1<\/b><\/h2>\r\n<p><span style=\"font-weight: 400;\">Students will be prompted with:<\/span><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>A snail is climbing down a wall starting at a point 30 feet above ground level. It moves at a rate of -2 feet per hour.\u00a0<\/i><\/b><b><i>What height will it reach after 6 hours?\u00a0<\/i><\/b><\/p>\r\n<p style=\"padding-left: 40px;\"><b><i>\u202615 hours?<\/i><\/b><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2340 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-1024x576.jpeg\" alt=\"Multiplying negatives\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-02-Visual-Math-Talk-image01.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<p><span style=\"font-weight: 400;\">In this first visual number talk prompt, we are providing students with a positive initial value and a negative rate of change.\u00a0<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">Allow students to leverage any models they feel most comfortable with to determine the height of the snail after 6 hours and 15 hours.\u00a0<\/span><\/p>\r\n<p><span style=\"font-weight: 400;\">At this point, we are encouraging students to leverage tables, graphs and equations where possible. If a student is only leveraging one of the models, encourage them to represent using another model to add that tool to their repertoire.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2341 size-large\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-1024x576.jpeg\" alt=\"Multiplying negatives\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-1536x864.jpeg 1536w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-405x228.jpeg 405w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02-139x78.jpeg 139w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2022\/08\/Rising-Water-Day-6-Math-Talk-and-Show-Your-Growth-03-Visual-Math-Talk-image02.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\r\n<h2>Want to Explore These Concepts &amp; Skills Further?<\/h2>\r\n<p><b><i>Three (2) additional number talk prompts are available<\/i><\/b><span style=\"font-weight: 400;\"> in <\/span><a href=\"https:\/\/learn.makemathmoments.com\/task\/rising-water-day6\"><span style=\"font-weight: 400;\">Day 6<\/span><\/a><span style=\"font-weight: 400;\"> of the <\/span><a href=\"https:\/\/learn.makemathmoments.com\/task\/rising-water\"><span style=\"font-weight: 400;\">Rising Water 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 6-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>Investigate subtracting negative numbers by finding the difference in temperature using the thermometer as a linear model number line.<\/p>\n","protected":false},"author":1,"featured_media":2339,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,92],"tags":[53,32,33,34],"series":[35,40,94],"class_list":["post-2338","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-number","category-patterning","tag-grade-6","tag-grade-7","tag-grade-8","tag-grade-9","series-integers","series-multiplication","series-patterning"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Multiplying Negative Integers Through Patterning Visual Number Talk<\/title>\n<meta name=\"description\" content=\"Build an 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