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Resource Title:Cynthia Lanius' Fractal Unit
Description:Cynthia Lanius, a former mathematics teacher who currently serves as Technology Integration Specialist for Sinton Independent School District in Sinton, Texas, has posted numerous lessons online. This website features a Fractals Unit for elementary and middle school students (although adults are also welcome to enjoy the lesson). The lesson includes a discussion on why one might study fractals and then provides step-by-step explanations on how to make fractals using Java, along with some challenging mathematics questions to consider. Samples of student work are also posted. A section for teachers provides an overview of the unit objectives along with links to other resources and materials to use in the classroom.

Additional Resource Information

Contributor(s) Rice University.
Grade Level Elementary
Grade 10
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
High School
Middle School
Upper Elementary
Intended Audience Learner
Language En
Publisher / Resource Provider Rice University.
Resource Format Text/html
Subject Keyword(s) Algorithms
Discrete Mathematics
Fractal Geometry
Fractals
Geometry
Mathematics
Mathematics -- Informal Education
Content contained within the resource:
Cynthia Lanius' Lessons: A Fractals Lesson - Introduction Cynthia Lanius     Fractals Pictured: A Famous Fractal - The Mandelbrot Set A Fractals Unit for Elementary and Middle School Students That Adults are Free to Enjoy Table of Contents       Introduction   Why study fractals?     What's so hot about     fractals, anyway?   Making fractals     Sierpinski Triangle           Using Java           Math questions           Sierpinski Meets Pascal     Jurassic Park Fractal           Using JAVA           It grows complex           Real first iteration           Encoding the fractal           World's Largest     Koch Snowflake           Using Java           Infinite perimeter           Finite area           Anti-Snowflake              Using Java   Fractal Properties     Self-similarity     Fractional dimension     Formation by iteration   For Teachers     Teachers' Notes     Teacher-to-Teacher     Send mail   Fractals on the Web     The Math Forum   Other Math Lessons     by Cynthia Lanius   Awards     This Site has received   What are Fractals? They're everywhere, those bright, weird, beautiful shapes called fractals. But what are they, really? Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. There's lots of information on the Web about fractals, but most of it is either just pretty pictures or very high-level mathematics. So this fractals site is for kids, to help them understand what the weird pictures are all about - that it's math - and that it's fun! Teachers: Every lesson has a print version for classroom use. Fractals make "Cool Science" News Winners and New Champions! Sierpinski 2002 Champions! Congratulations on an awesome Sierpinski Triangle Congratulations! Students in Mr. Lynch's class in Sandpoint,Idaho created this 12th iteration Jurassic Park Fractal. It took 256 copies of their original to make. Great job.Here's last year's 11th-iteration version. Elementary School Champions! Third grade students in Ms. Renner's class at Alief ISD's Chambers Elementary in Houston, TX made this this 9th iteration Jurassic Park Fractal. Wow! And look at what preschoolers do! URL http://math.rice.edu/~lanius/frac/ Copyright 1996-2007 by Cynthia Lanius Reset to 1 on 1/19/04