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Now we start looking at patterns in the structure of these regular polygons and their angles.
Pattern: A pattern is a consistent form or method. Some patterns will jump out at you, others you have to look harder to see.
n-gon: An n-gon is a polygon with n sides.
variable: A variable is a symbol that represents a value or many possible values. (ex: "n" is a variable)
1. Give everyone a worksheet with several regular polygons. (The worksheet may be found on the M2T2 page)
Participants will notice that the angles are all equal and that the number of sides multiplied by one of the angles gives the angle sum. BUT, be sure they focus on the changes in the last column as you move to polygons with more sides.
http://www.mste.illinois.edu/m2t2/algebra/tableForPolygons.xls is an Excel spreadsheet with the table at the left. Participants can see the values, find the patterns and let the spreadsheet do the multiplication.