Fractals : what comes next?

URL: http://www.figurethis.org/challenges/c23/challenge.htm

1007936

This online activity challenges students to explore the relationship between the number of triangles and the sum of the triangle perimeters in each of the first three iterations of the Sierpinski triangle fractal. The activity is one of 80 mathematical challenges featured on the Figure This! web site. In this activity, students are encouraged to use two problem-solving strategies: investigate a simpler problem and make a chart. For other sections of the activity, students find the general rule for determining the amount of paint needed to cover the increasing number of triangles in iterations of the Sierpinski triangle and investigate similar area and perimeter questions with square fractals. The activity includes information about self-similarity, a key characteristic of fractals, and about how fractals can model natural phenomena. Copyright 2005 Eisenhower National Clearinghouse

Summary

Subject keyword(s)	Education, Fractal geometry, Geometry, Length, Mathematics, Measurement, Number and operations, Perimeter, Problem solving, Process skills
Grade level	Middle School, Informal Education
Intended audience	Learner
Resource type	Audio/Visual, Instructional Material
Resource format	image, image/gif, text, text/html
Rights	Content copyright 1999-2002 National Council of Teachers of Mathematics.

Found in collection(s)

Click on the logo to get more information about the collection.

Title	Middle School Portal: Math and Science Pathways (MSP2)
Link	http://msteacher2.org/
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.
	Full description and distribution of resources

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.