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APPLICATIONS OF THE FILM IN MATHEMATICS
The Square Inch, Square Foot and Square Yard as Units of Measure for Areas (Grades 5-7)
Picture Mary making badges for the pupils in her class. She is making square badges 3 inches on a side, from red felt and blue ones, 2 inches by 4 inches, from blue felt. Mary speculates as to whether the blue or the red badges take more material. She measures around the edge of each shape and finds that each one is 12 inches around, but that doesn't convince Mary.
Picture a pile of cardboard square inches. Mary covers the red and blue badges with square inches and discovers that the red badge requires one more square inch than the blue badge. Differentiate between measures of length and measures of surface or area. Picture the covering of other areas with square inches.
Picture Mary's schoolroom with one section of blackboard missing. The question is to find out how much slate to buy to replace the missing section. Discuss the use of a measure one foot on a side, as a unit of measure. Use a piece of cardboard representing a square foot and by direct measurement find the number of square feet in the missing section of blackboard.
Show the finding of other areas by marking them off into square inches or square feet, and gradually lead to the development of the generalization that the area of a rectangle equals the length times the width.
To further clarify the concept of area, picture the covering of a floor with linoleum which comes in pieces which measure a yard on a side. Picture the painting of a wall by covering a square yard at a time.
Contrast with these measures of areas, some measures of lengths, as the amount of lace necessary to go around a tablecloth.
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