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I think it would be communication. As said before, they contacted one family about the schools. To get even more information contacting others would be even better.
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Potlatch, ceremonial distribution of property and gifts to affirm or reaffirm social status, as uniquely institutionalized by the American Indians of the Northwest Pacific coast. The potlatch reached its most elaborate development among the southern Kwakiutl from 1849 to 1925. Although each group had its characteristic version, the potlatch had certain general features. Ceremonial formalities were observed in inviting guests, in speechmaking, and in the distribution of goods by the donor according to the social rank of the recipients. The size of the gatherings reflected the rank of the donor. Great feasts and generous hospitality accompanied the potlatch, and the efforts of the kin group of the host were exerted to maximize the generosity. The proceedings gave wide publicity to the social status of donor and recipients because there were many witnesses.
I think the best way to summarize it is:
1) through a number of purchases:
Louisiana Purchase,
Gadsden Purchase
2)Through Anexation of the Republic of Texas (independent at the time)
3) and through war (The Mexican American-war, which lead to the Mexican Cession)
