Geoboard Inquiry

Start out by constructing regions with 4 pegs on the boundary and different numbers in the interior. Make a table of the area. Continue doing this for shapes with other numbers on the boundary, such as B=5, B=6, …..Can you form a hypothesis of a formula for the area on the basis of B and I?

 

Electronic Geoboard Links
NCTM http://standards.nctm.org/document/eexamples/chap4/4.2/#applet
Utah State http://nlvm.usu.edu/en/nav/frames_asid_281_g_2_t_4.html
Pick's Theorem http://www.cut-the-knot.org/ctk/Pick.shtml

 

 
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