| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

Syllabus

Page history last edited by Lisa Suarez 7 years ago

Welcome to the Tetrahedron Project!

Course Syllabus

 


E-mail addresses

Lisa

Lisa@LisaSuarez.net

Sally

s.mascia@sbcglobal.net

Julie

jmcelroy5@yahoo.com

 



Project 

Throughout the course 7th and 8th grade students will learn about fractals, explore mathematical patterns in them and culminate their experience by building Sierpinski's tetrahedron in a creative way. All tetrahedrons will be displayed at the end of the project.

 

Goals of the Project

Learn about fractal geometry then build and explore patterns in Sierpinski's triangle and tetrahedron. 

 

Teacher Training

Part 1 - Introduction and 2-D fractals

     What is a fractal? One page explanation

          Power Point Introduction   Fractal Geometry and Sierpinski’s Tetrahedron.ppt

          http://whatis.techtarget.com/definition/fractal

          http://pages.cs.wisc.edu/~ergreen/honors_thesis/fractal.html

          http://cnx.org/content/m13371/latest/

 

     Where did they come from?

          Benoit Mandelbrot

               http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Mandelbrot.html

               http://www.nndb.com/people/752/000022686/

     Classic fractals

               http://pages.cs.wisc.edu/~ergreen/honors_thesis/examples.html

 

     Reduce Replicate and Rebuild - More Ideas

               http://math.fau.edu/Teacher/CATEs_PDF/10%20computer%20lab/comp%20lab,%20unit%202.pdf

 

     Fractal Functions

               https://ndpamath.files.wordpress.com/2012/09/chapter-6-10-secondary-1-math-textbook1.pdf

 

     Sierpinki's triangle - how to build it and patterns

               5FractalTriangles.pdf

              6Generating Sierpinski Triangle.pdf

               6Sierpinski_s_Triangle_Exploration_Questions[1].pdf

               7isometric grid paper.pdf

               http://www.zeuscat.com/andrew/chaos/sierpinski.html

               http://math.bu.edu/DYSYS/chaos-game/node2.html
               http://www.efg2.com/Lab/FractalsAndChaos/SierpinskiTriangle.htm

               http://math.rice.edu/~lanius/fractals/self.html

 

Video of Sierpinski's Triangle

 

Part 2 - Polyhedra and 3-D fractal

3-d - looking at regular polyhedra (These polyhedra are also known as Platonic solids, since Plato described them in his work.)

     Lesson Plan

     fractals polyhedra lesson planExemp06.pdf

 

     Description of Polyhedra

     http://en.wikipedia.org/wiki/Regular_polyhedron

     http://www.math.ubc.ca/~cass/courses/m308/projects/cchang/project.html

     Paper Models

     http://www.korthalsaltes.com/
     Polyhedra by paperfolding - http://nrich.maths.org/public/viewer.php?obj_id=5480∂=index&nomenu=1
      http://www.hxa.name/cardahedra/

     Origami solids - http://www.math.lsu.edu/~verrill/origami/tetraunit/

 

Eulers Formula with Platonic Solids

http://www.math.ohio-state.edu/~fiedorow/math655/Euler.html

     Computer Applets (animations) of Polyhedra

     http://mathforum.org/alejandre/applet.polyhedra.html

     http://jcrystal.com/steffenweber/POLYHEDRA/p_00.html

 

Sierpinski's tetrahedron - how to build it and patterns

     tetrahedron with envelopes instructions.doc - website 

     4fractals in the classroom nctm.pdf

     92Illuminations_ Tetrahedral Kites.pdf

     92illuminations Tetrahedron-AS-TissueTemplate.pdf

     91fractal geometry and sierpinskis tetrahedron.pdf

     8fractals polyhedra lesson planExemp06.pdf

     95tetrahedron templates.pdf

     94sierpinski tetrahedron blackline masters patterns chart.pdf

     93Sierpinski Tetrahedron Paper Plates.pdf

 


 

Comments (0)

You don't have permission to comment on this page.