<p>Polygons!</p><p>Using power polygons or by drawing your own regular polygons explore some of the following ideas:</p><p> Lines of Symmetry: Determine the number of lines of symmetry for various polygons. Can you make a connection between the number of lines of symmetry and the polygon? What patterns, if any, do you notice?</p><p> Combining polygons to make new polygons: Choose two congruent polygons and explore all the other polygons you can make by combining them. Compare regular and non-regular polygons.</p><p> Combining many pieces to make a regular polygon: Using congruent pieces try to build other regular polygons such as a hexagon. Can you do this in more than one way? Try making other regular polygons?</p><p> Combining non-congruent pieces: try making other polygons from two or more non-congruent polygons.</p><p>Record your findings and be prepared to share your discoveries! Platonic Solids!</p><p>Use the G-O Frames to build each of the platonic solids.</p><p>Explore the number of faces, edges, and vertices of each. Is there a connection between these three numbers for each platonic solid?</p><p>Explore the possible (and impossible) nets for each of these solids.</p><p>Record your discoveries and be prepared to share! Archimedean Solids!</p><p>Use the G-O Frames or Geo D-Stix to build some of the Archimedean Solids.</p><p>Use Schlafli notation to describe your polyhedrons. </p><p>Explore the number of faces, edges, and vertices. Is there a connection?</p><p>Explore the nets of the polyhedrons. Tessellations!</p><p>A tessellation is a tiling pattern that covers a plane with no overlaps or gaps. A regular tessellation is made using only one type of congruent polygon. A semi-regular tessellation is made using two or more regular polygons where the arrangement of polygons is the same at every vertex.</p><p>Using power polygons, pattern blocks, or your own hand- drawn polygons:  determine which polygons will tessellate a plane (create a regular tessellation)  find combinations of polygons that can create a semi-regular tessellation Record your results and be prepared to share!</p><p>Read the photocopied piece about “Schlafli Notation” for tessellations and try to describe your tessellations using this notation.</p><p>Extension:</p><p>Explore the information on pages 407 – 425 about tessellations and try to make your own tessellation picture.</p>