Creating a new "Featured Content" block

Not quite sure how to do this exactly but what I'm trying to do is make a new block in which I could feature something for our Journalism class website. For instance, some students wanted to start a new advice column and to help get it off the ground I wanted the info to standout on the website but without having to sticky it into our actual content. Almost sort of as an add off to the right hand side.

Anyway, what I tried doing was creating a new block which was easy however when I try and create a page, I cannot get this new block to show up as a place I can drop the new page.

Am I better just to create an image of an ad and place it?

Thanks for the insight. I hope this is enough detail.

www.woodstockwindow.net (Woodstock High School Intro to Journalism)