Maybe it is possible that the area of a square can be determined using a ratio based on the length of one side.  Create a graph that shows the ratio of the (side of a square)/(area of a square) as a function of the length of any side (it is a square, all sides are the same).   You could graph it as y=length/area For a 1″ square, the ratio of side/area is _____________________________ For a 5″ square, the ratio is______________________________ For a 0.1″ square, the ratio is_________________________ Can we calculate the area of a square using a ratio of one side?  Does this hypothesis hold true for all sizes of squares?

Lets test a different hypothesis.  Maybe it is possible that the area of a square can be determined using a ratio based on the length of one side.  Create a graph that shows the ratio of the (side of a square)/(area of a square) as a function of the length of any side (it is a square, all sides are the same).   You could graph it as y=length/area

For a 1″ square, the ratio of side/area is _____________________________

For a 5″ square, the ratio is______________________________

For a 0.1″ square, the ratio is_________________________

Can we calculate the area of a square using a ratio of one side?  Does this hypothesis hold true for all sizes of squares?                                                         

 

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