Should I bring materials for teaching demonstration? For a teaching demonstration for an academic job interview (in mathematics, if that matters), should I bring worksheets to my interview, and hand them out to my "students?"

My teaching demonstration will be in front of a search committee rather than an actual class of students.  I wanted to demonstrate what I actually do with real students, which is hand out worksheets to them at the start of class. I was wondering if it will be appropriate to print these out and bring them to my interview and hand them out like I usually would to a real class.
How can you demonstrate your teaching without your teaching materials? I believe that you should for the duration of the teaching demonstration treat the search committee as if they are students. I doubt this would be condescending to the committee because they asked you to teach to them rather than actual students. 

Off course the committee will not actually do the assignment but it will give them a chance to see what you do as a teacher as well as the quality of your materials. It also allows them to see the interaction between the materials and your teaching.  

If you are really nervous, just ask them before the demo if they actually want the materials. If they say no you wasted a few bucks on photocopies. If they say yes you were ready and thoroughly prepared.