Lesson 1: 6-1: Angles of Polygons

1. What are some ways to represent real-world situations using the angles of polygons?
2. How do we find the sum of the measures of the interior angles of a convex polygon?
3. What is the sum of the measures of the exterior angles of a convex polygon?

Diagonal

G.MG.1
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S = 180(n-2). This equation can be used to find the measure of each interior angle in a regular polygon or to find the number of sides in a polygon if the sum of the interior angle measures is known.

To create their honeycombs, young worker honeybees excrete flecks of wax that are carefully molded by other bees to form hexagonal cells. The cells are less than 0.1mm thick, but they support almost 25 times their own weight. The cell walls all stand at exactly the same angle to one another. This angle is the measure of the interior angle of a regular hexagon.

Students should be careful when answering questions. It's important to check if the question is asking for the measure of one interior angle, or the sum of the measures of the interior angles.

Students approaching grade level can be given practice problems in small groups to work with other students or directly with the teacher.
Students beyond grade level can make deeper connections by identifying the number of sides in a regular polygon based on the measure of one interior angle.

Formative Assessment

Textbook in class

Access online textbook and resources through class link.