Well in addition to the various sections such as sports, news, business, classifieds, lifestyle/features, there is the name plate (large title of the publication appearing on the front page), the contents, the masthead (section containing info about the publication such as address, publisher, owner, frequency of publication, etc), then there's the front page, editorial page, op-ed page (page opposite the editorial page typically where columns are printed). There's also columns, news, photos, datelines, sidebars and for reporters, the coveted "byline" where the reporter gets his/her name listed as writer above the article.
There is the news part that has what's happening, then the editorial part where writers give their views, the part that has features that usually has light news aimed at entertaining but also informing and then the classifieds where you get to advertise. They also have the sports part. You can go to http://dtricarico.hubpages.com/hub/HOW-TO-TEACH-THE-PARTS-OF-A-NEWSPAPER for more details on each part.