You can lead a civic engagement workshop like the one shown on the My Voice, My Vote video. The workshop is easy to do, fun, and requires few materials (just markers and a roll of paper). See Being a Citizen in Today's World workshop instructions (PDF), developed and offered by the Center for Democracy and Citizenship at the Univeristy of Minnesota's Hubert H. Humphrey Institute for Public Affairs.
Several nonpartisan websites have excellent materials on voting, becoming informed, and getting involved with issues of interest. You may find these useful in your classroom or program, or in supporting individuals.