Upcoming SlideShare
×

# Artifact 2 clemson

251 views

Published on

Published in: Education, Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Be the first to comment

• Be the first to like this

Views
Total views
251
On SlideShare
0
From Embeds
0
Number of Embeds
18
Actions
Shares
0
2
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Artifact 2 clemson

1. 1. Jimmy Clemson Dr. Adu-Gyamfi MATE 4001 Sum of Interior Angle of a Polygon Statement of Mathematical Investigation: In this investigation the students will explore the concept of an interior angle of a polygon and figure out the sum of the interior angles of different sides of polygons and the angle measures of their regular polygons. An auditorium manager is building an auditorium and needs to know what angle brackets he needs for the junctions of the wall. His building is going to have 72 sides and it will be regular. What angle brackets does he need? Exploration: Start by constructing a triangle and measuring the interior angles and their sum. Is this true of all triangles? Test it out. A regular polygon is a polygon where all the angle measure and side lengths are the same. Knowing that a regular triangle has to have equal angles, what angle does it have to be in order to make it a regular polygon? 60 . How did you come up with that. Make a chart that shows the number of sides and sum of the interior angles and the angle of a side of the regular polygon for that many sides. Now move up to quadrilaterals.
2. 2. B A C D m m m m m DAB = 142.57° ABC = 45.85° DCB = 127.52° ADC = 44.07° DAB + m ABC + m DCB + m ADC = 360.00° Is this always the case? Test it out.