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Teacher professional development and classroom resources across the curriculum  MENU          Session 3:
Other Kinds of Functions

In This Part: Functions and More Functions | More Functions | A Geometric Function

Sometimes, functions can be based on an algorithm but still not use numbers as inputs. Here's an algorithm; let's call it Algorithm M: Note 10

 • Start with a polygon • Find the midpoint of each side of the polygon • Connect each midpoint to the two midpoints on either side of it

Here's what the algorithm does to a pentagon:     Problem E13 Try Algorithm M on three different triangles. Describe in words how the output is related to the input. Be sure to select triangles that are different in a significant way: acute, obtuse, scalene, isosceles.   Close Tip Problem E14 How does any new triangle created by Algorithm M relate to the original, in size and in shape? Problem E15 Try Algorithm M on several different quadrilaterals. Describe anything you notice about the outputs.  As with Problem E13, select quadrilaterals that are different in a significant way. You might also concentrate on a specific type of special quadrilateral to determine if Algorithm M does something similar to all quadrilaterals of that type.   Close Tip Problem E16 Does Algorithm M describe a function? Explain how you know.  Problems in Part E taken from IMPACT Mathematics Course 3, developed by Education Development Center, Inc. (New York: Glencoe/McGraw-Hill, 2000). Next > Homework  Session 3: Index | Notes | Solutions | Video

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