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Summer Jett
Topic: Measurement (area and perimeter)
Grade level: Second or Third
Objective: Students will be able to demonstrate that objects with
the same perimeter do not necessarily have the same area.
Materials: centimeter squared paper, string
Procedure:
Begin by having students trace their feet on the centimeter squared
paper. Then have them find the area of their feet in square centimeters
and record their measurements. Now, use string to put around the
traced feet and cut it to represent the perimeter of their feet.
Now look for other students that have the same or similar perimeters
and see if the area is the same also. Most likely, there will
be some students whose foot perimeter is the same, but their foot
areas are different. Use these examples to show students that
objects that have the same perimeters do not necessarily have
the same area. To extend this to another situation, have students
use the string that they cut to fit the perimeter of their feet,
to make squares on the grid paper. Now measure the area of the
square and compare it to the area of their feet. Also, ask students
to try to make a shape using their string that does have the same
area as their foot. Finally, have students make different shapes
with the string that all have different areas.
Source:
Burns, M. (1992). About teaching mathematics: a K - 8 resource.
New York: Math Solutions Publications.
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