Google ClassroomGoogle Classroom
GeoGebraGeoGebra Klaslokaal

IM 6.9.6 Lesson: Picking Representatives (continued)

Smallville’s map is shown, with opinions shown by block in green and gold. Decompose the map to create three connected, equal-area districts in two ways:

Design three districts where green will win at least two of the three districts. Record results in Table 1.

Table 1

Design three districts where gold will win at least two of the three districts. Record results in Table 2.

Table 2

Squaretown’s map is shown, with opinions by block shown in green and gold. Decompose the map to create five connected, equal-area districts in two ways:

Design five districts where green will win at least three of the five districts. Record the results in Table 3.

Table 3

Design five districts where gold will win at least three of the five districts. Record the results in Table 4.

Table 4

Mountain Valley’s map is shown, with opinions by block shown in green and gold. (This is a town in a narrow valley in the mountains.) Can you decompose the map to create three connected, equal-area districts in the two ways described here?

Design three districts where green will win at least 2 of the 3 districts. Record the results in Table 5.

Table 5

Design three districts where gold will win at least 2 of the 3 districts. Record the results in Table 6.

Table 6