1. Complete the Polygun Sum Worksheet
For your INITIAL POST, respond to the following questions:
- What are the potential benefits of using a dynamic software application such as this one for the teaching of geometry?
- What are the potential drawbacks of using a dynamic software application such as this one for the teaching of geometry?
- If you were teaching the formula for finding the sum of the interior angles of a polygon, would you use this applet? Why or why not?
2. FEEDBACK FOR TWO STUDENTS
Polygon Sum Worksheet
Open: https://www.geogebra.org/m/QESZEzyv
In the list of checkboxes, select “int angles” and “Inside∆.”
Move the slide to change the numbers of sides. Use this information to fill in the table below:
|
Number of Sides of the Polygon |
Measure of Each Angle |
Sum of Interior Angles of the Polygon |
Number of Inside Triangles |
|
3 |
60 |
180 |
1 |
|
4 |
90 |
2 |
|
1. What do you notice about the relationship between the number of sides of the polygon and the number of inside triangles?
2. What do you notice about the relationship between the number of inside triangles and the sum of the interior angles of the polygon?
3. Use this information to predict the sum of the measures of the interior angles of a 20-sided polygon.
4. What is a general formula to find the sum of the interior angles of any n-sided polygon?