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Q&A #7226 |
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Dear Gail, In addition to the suggestions by Jeanne, I have a few more: ** The following worksheets help your students discover Pick's Theorem on their own. Encourage your students to work through them and move onto the section with pictures containing holes: http://intranet.cps.k12.il.us/Lessons/StructuredCurriculumTOC/SCMathematics/G rade_5_Mathematics_Daily_Less/SCMA5G1/MA5G080090.PDF You need to have Adobe® Acrobat® Reader® software on your computer to open the above link. If you don't have it, download a free copy of the Reader from here first: http://www.adobe.com/products/acrobat/readstep.html ** Have you seen the Pick's applet by Alex Bogomolny? http://www.cut-the-knot.com/ctk/Pick.html ** I found two "Problems of the Week" dealing with Pick's Theorem: Graphing for Area http://mathforum.org/midpow/solutions/solution.ehtml?puzzle=73 Exploring Area http://mathforum.org/midpow/solutions/solution.ehtml?puzzle=76 Gail, you might end your lesson by challenging your students to think about Pick's Theorem in 3 dimensions. Does it (or a variation) hold for volume of 3 dimensional object? How about volume of the 3-dimensional shapes with holes? This makes a great topic for a math project. Good luck. Keep in touch and let us know how it goes. -Roya Salehi, for the T2T service
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