Other groups including the Jewish Federations of North America, the Jewish National Fund and the Israeli-American Council are collecting funds in the rebuilding effort.
The teens had recently learned about the Holocaust and therefore knew what the swastika symbolized, the birthday teen's mother reportedly said in a Facebook post.
The announcement of the Sioux Falls center was made before a crowd of 5,600 rabbis and guests at the annual New York conference of the movement's international emissaries.