These lessons, written to comply with the NCTM Standards, use fractal geometry to introduce students to modern mathematical research and to reinforce the arithmetic and geometry skills that they study in school.
Why study fractals? Making fractals
Fractal Properties
For Teachers
Comments
Fractals on the Web
Other Math Lessons 
Grade Levels: 48 Lesson Procedures: Students will study properties of fractals by utilizing online resources. The lessons are designed for students to work independently or with guidance from the teacher. Mathematics Topics: Patterns, ordering fractions, area, perimeter, similarity, measurement, exponents Connecting Mathematics:
Suggested Assessment: Questions are included with most sections. A mini research project could be assigned after completion of the lesson. Students would complete an online portfolio that includes examples of other fractals, a paper describing what they have learned, a biography of a mathematician who does research on fractals, etc. Be sure to have them include a bibliography of the urls they used. Suggested Teacher Resource: A really fine lesson on chaos and fractals is Robert Devaney's Chaos in the Classroom.

Copyright 19962007 Cynthia Lanius
URL http://math.rice.edu/~lanius/frac/Tch_Notes