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You have just been talking about
discrete values. Be sure to continue to
use these words when appropriate to reinforce their meaning
and their recurrence.
Given a polygon, what would be the angle sum?
Given a sum or given an angle, what would be the
polygon? Give some angle sums with no solution.
You can use a formula in both directions.
Not all problems have a solution.
In groups, create non-regular polygons of given
numbers of sides for the non-regular table. Does it
Testing the formula for angle sums to
1. Provide an example of a polygon. Ask the
participants to name the angle sum of that polygon.
(Triangle, angle sum = 180º ; Octagon, angle sum =
2. 1120º > no meaningful solution
3. 1260º > nonagon
4. Each angle has degree measure of 120º
5. Each angle has degree measure of 108º
> pentagon Each angle has degree of
85º> no meaningful solution
Possible Problems and
There is a Sketchpad file of a regular 20-gon at
Have students write scripts to build regular
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