This slideshow gives you some information about starting your Design Project. It includes the types of design you might choose, some examples, and some tips on brainstorming.
SACE Art Show Gallery - http://www.sace.sa.edu.au/news/sace-art-show/previous-art-shows/2012-design
Bubbl.us (mind-map creator) - https://bubbl.us/
Pinterest Design Board http://pinterest.com/all/design/ - this is good for inspiring ideas and seeing what people can do. It has loads of interesting designs. You can also search a certain type of design on Pinterest. I believe this website does not work at school, but it should function fine at home.
Designs for inspiration
Interior and building design - http://thedesignfiles.net/
Various design types (product and graphic mostly) - http://www.designer-daily.com/category/theblog
Graphic design - http://www.youthedesigner.com/
Product design - http://www.core77.com/blog/object_culture/
General design blog - http://objectsblog.com/