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With this online activity, students explore the classic mathematics map-coloring question known as the four-color problem. Students must determine the minimum number of colors needed to color a map so that entities sharing a border have different colors. Initially, students investigate the minimum number of colors necessary to color a map of states west of the Mississippi River. The activity's Getting Started section suggests coloring the states in a specific order. The Solution page uses odd and even numbers to explain the mathematics of map coloring. In the Try These section, students solve problems investigating other map-coloring situations and learn how map coloring relates to fields such as city planning. The activity includes a brief history of the four-color problem, which was finally solved using a computer in 1976. This activity is one of 80 mathematical challenges featured on the Figure This! web site, where real-world uses of mathematics are emphasized. Copyright 2005 Eisenhower National Clearinghouse
Summary
| Subject keyword(s) | Education, Famous problems, Geometry, Mathematics, Mathematics history, Problem solving, Process skills, Reasoning |
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| Grade level | Middle School, Informal Education |
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| Intended audience | Learner |
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| Resource type | Audio/Visual, Instructional Material |
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| Resource format | image, image/gif, text, text/html |
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| Rights | Content copyright 1999-2002 National Council of Teachers of Mathematics. |
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Using this resource
Found in collection(s)
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| Title | Middle School Portal: Math and Science Pathways (MSP2) |
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| Link | http://msteacher2.org/ |
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| Description | The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience. |
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| Full description and distribution of resources |
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Content contained within the resource
Home � Getting Started � Answer � TryThese � ThinkAbout This � Did You Know? � Resources Try Another Challenge � Challenge Index � Math Index · Printing the Challenges � En Español Family Corner � Teacher Corner � About Figure This! · Purchase the CD ©2004 National Council of Teachers of Mathematics Web site and CD-ROM design/production © 1999-2004 KnowNetConstruction, Inc.