1. Do BEES Build it Best? AMSTI Geometry Year 1 Day 3

2. Day 3 Agenda – POW’s  POW 8 Just Count the Pegs Pg 58 –Discover Pick’s Theorem –b / 2 + i -1  POW 9 Tessellation Pictures Pg 109 –Need 3x5 card & ¼ sheet of chart paper Interior Pegs Boundary Pegs 0b / 2 -1 1b / 2 2b / 2 + 1 3b / 2 + 2 …

3. Day 3 Agenda – Area/Perimeter  HW 16 Don’t Fence Me In Pg 121 –w/ Graphing Calculator –Post: Maximum Area of Rectangle ( ? X ? ) w/ P = 300  Rectangles are Boring! Pg 128 –Post: Area of Equilateral Triangle w/ P = 300 –Formula for Area of Equilateral Triangle –Formula for Square / Area of Equilateral Triangle in terms of Perimeter (Pg 132 Teacher’s Guide)  HW 17 More Fencing, Bigger Corrals Pg129 –Generalize the results –How does the area of a square corral made of 300 ft of fencing compare to 600 ft? –How does the area of an equilateral triangle of 300 ft of fencing compare to 600 ft?

4.  More Opinions About Corrals Pg 137 –Post: Area of Regular Pentagon w/ P = 300  Building the Best Fence Pg 142 –Each participants compute a different # of sides –Find a general formula for regular polygon w/ n sides & P = 300 (Pg 147 Teacher’s Guide)  HW 18 Simply Square Roots Pg 138  HW 19 Falling Bridges Pg 143 –See Pg 146 Teacher’s Guide Day 3 Agenda – Area of Regular Polygons