GPS Alignment: Instructor Page
Week 13: Geometry  Polygons
Tessellation Restrictions
(Printable PDF)
Can any triangle be used to make a tessellation? Can any quadrilateral be used to make a tessellation? Can any polygon be used to make a tessellation? Why or why not?
Summarize your findings.
GPS 
As seen in Problem Exploration 
M6G1. Students will further develop their understanding of plane figures.
b. Investigate rotational symmetry, including degree of rotation.

In order to solve this problem, the students will have to have an understanding of what tessellate means. One definition involves rotating about one point such that there are no overlaps or gaps. 
M7G2. Students will demonstrate understanding of transformations.
a. Demonstrate understanding of translations, dilations, rotations, reflections, and relate symmetry to appropriate transformations.

To find out which polygons tessellate, the student can use either GSP, an applet, or cut out various shapes from paper to see which ones tessellate by actually rotating the shape about a given point. Some triangles tessellate through translation, reflection, and rotation.. 
