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Exploring
the Golden Rectangle


 
In
this activity, students will construct a golden section and a golden rectangle
and study their characteristics and connections with the Fibonacci series.
They will import pictures from the internet and download them into the Sketchpad.
Using their "golden" construction, they will discover the use of the golden
rectangle within famous works of art. This exploration was adapted from
an activity developed by Elizabeth Boiardi while she was a graduate student
at the University of Virginia in the summer of 1998.
Mathematics: Students will construct a golden section and a golden rectangle and discover the following properties:
Mathematical Thinking: Students will hypothesize and prove the above properties. They will also generalize the properties to other situations. Technology: Students will practice constructing circles, using scripts, and importing pictures into a sketch window. They will also be introdued to the Create Axes and Plot Points commands. The following picture illustrates a possible location of where the golden rectangle is found in art.


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