{"id":540,"date":"2017-02-10T19:17:54","date_gmt":"2017-02-11T01:17:54","guid":{"rendered":"https:\/\/chalkdoc.com\/?p=540"},"modified":"2019-08-18T14:51:36","modified_gmt":"2019-08-18T20:51:36","slug":"systems-of-equations_custom-ink","status":"publish","type":"post","link":"https:\/\/chalkdoc.com\/systems-of-equations_custom-ink\/","title":{"rendered":"The Custom Ink Project: Systems of Equations"},"content":{"rendered":"\n
“My unicorn<\/em> doesn’t\u00a0fly, but it’s the most<\/strong> fly.”<\/em><\/p>\n\n\n\n This project for systems of equations gives students the chance to light up their creative side. Students work in groups to design original apparel on Custom Ink<\/a>, bring it to the class to see what it’s worth, build cost and revenue functions, and analyze how they’ll do if they bring it to market. They love the balance of inspiration, collaboration, and calculation.<\/p>\n\n\n\n Find the activity worksheet here: Systems of Equations – Custom Ink Worksheet<\/a>\u00a0and the accompanying PowerPoint here: Systems of Equations – Custom Ink Deck<\/a>.\u00a0 Here’s how it works.<\/p>\n\n\n\n For this activity to work, students need a reasonable price for their creation. Here’s how they can get it with a 3 minute gallery walk.<\/p>\n\n\n\n Next, students need to estimate their costs. Because the cost per unit changes based on volume, we have students estimate their costs by figuring out what it would cost to make 25 and 250 shirts. Given these two points, students calculate a linear equation that estimates the cost to make any number of shirts.<\/p>\n\n\n\n (Some students may learn that the cost to make each shirt is greater than the price people said they’d pay per shirt. Raise this question with the class (What does this mean?), then consider allowing that group to raise their price so they can target a premium market.)<\/p>\n\n\n\n Now that students have revenue equation and a cost equation, they’re ready to analyze. They begin by answering basic questions (How much does it cost to make each shirt?) and move into more advanced questions (How many shirts do you need to sell to break even? How much money would you make if you sold 500 shirts?). Feel free to change or add to these questions!<\/p>\n\n\n\n This one’s always a crowd favorite that consistently leads to meaningful, memorable mathematical engagement. If you have a 60 minute period, you can do this in one day. If not, students should still finish the first 3 stages quickly enough that they can finish the analysis for homework!<\/p>\n\n\n\n Let me know if you have any questions, suggestions, or requests!<\/p>\n","protected":false},"excerpt":{"rendered":" This systems of equation project combines inspiration, collaboration, computation, and competition to be one of my students’ favorite activities.<\/p>\n","protected":false},"author":1,"featured_media":543,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[37,27,26,28,25],"_links":{"self":[{"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/posts\/540"}],"collection":[{"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/comments?post=540"}],"version-history":[{"count":7,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/posts\/540\/revisions"}],"predecessor-version":[{"id":890,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/posts\/540\/revisions\/890"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/media\/543"}],"wp:attachment":[{"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/media?parent=540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/categories?post=540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/chalkdoc.com\/wp-json\/wp\/v2\/tags?post=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Math, meet art.<\/strong><\/h2>\n\n\n\n
Implementation Tips<\/strong><\/h2>\n\n\n\n
Stage 1: Design<\/strong><\/h3>\n\n\n\n
Stage 2: Pricing<\/strong><\/h3>\n\n\n\n
Stage 3: Costs<\/strong><\/h3>\n\n\n\n
Stage 4: Analysis<\/strong><\/h3>\n\n\n\n
Final Thoughts<\/strong><\/h2>\n\n\n\n