Star Polygons are figures formed by arranging a set of points roughly around a circle or oval and then connecting each point to the next with segments. Different shape figures are formed when the points are connect in different ways.

• Figure 1 shows the type of figure which is formed when each point is connected to the next point.
• Figure 2 shows the type of figure formed if every second point is connected.

The degree measure for each of these stars is different. You can find the total for each star by measuring each angle at the point and then funding their sum.

Students complete this investigative activity to find which networks can be traveled and which cannot.  They study the number of odd and even vertices in each network to help them discover a pattern. 

Student Directions  

Star Polygon Data Chart 

Scoring Rubric