Why does the drawing of lines matter?

Review the example of gerrymandering in North Carolina.
http://www.slate.com/blogs/weigel/2013/10/14/gerrymandering_denialists_still_wrong_for_new_reasons.html

Using the knowledge you gained by playing the redistricting game, and by looking at the real-life example of North Carolina, write a page explaining the connection between state legislatures, redistricting, and Congress. Use the words apportionment, gerrymandering, and redistricting in your answer.