The activities in this Pull-Out explore the
Hill method of apportionment, the
method presently used to apportion the
U.S. House of Representatives. This Pull-Out is the second in a two-part series on
apportionment and fairness.
appears in Consortium 81. The two Pull-Outs can be used individually or together.
In Activity 1, students grapple with the
concept of relative unfairness and define
a relative unfairness measure.
2, students learn that applying their relative
unfairness measure to apportioning
seats requires an enormous number of
calculations. To cut down on the number
of calculations, students derive symbolically
an index based on their measure of
In Activity 3, students
use the Hill method to apportion seats in
a hypothetical situation involving four
The last question is optional for
students who have completed Part I. This
question looks at the Hill method as a