Interior Angles in Polygons Exploration

INSTRUCTIONS
Your objective: Find a rule for the sum of the interior angles of a polygon (for today). [br][br]1) Before you begin, make sure the box labeled "Show Interior Angles" is the only one checked. You will be working on that part only. [br][br]2) For each polygon, drag the slider from left to right. As you drag the slider, answer the questions along the way.[br][br]Have fun!
Triangle
Interior angles in a Triangle
Move the slider "Show Interior Angles" slowly and watch what happens.[br]What is the best description of the angle that is created by the sum of these angles?
Interior angles in a Triangle
Move the slider "Show Interior Angles" slowly and watch what happens.[br]What is the sum of the interior angles in any triangle?[br]You can also change the shape of the triangle by moving vertices and creating different triangles.
Quadrilateral
Sum of the Interior Angles in a Quadrilateral
Move the slider "Show Interior Angles" slowly and watch what happens once it gets to the right side.[br][u]How many triangles[/u] are created inside the quadrilateral? [br][b]Write your answer as a number.[/b][br]Also try changing the shape of the quadrilateral by moving the vertices.
Interior Angles in a Quadrilateral - Making connections
Using our previous answer and the fact that the sum of the interior angles in a triangle = 180[sup]o[br][/sup]we can now determine the sum of the interior angles of a quadrilateral.[br]Which would be the correct calculation?
Pentagon
Interior Angles in a Pentagon
Move the slider "Show Interior Angles" slowly and watch what happens once it gets to the right side.[br][u]How many triangle[/u]s are created inside the pentagon? [br][b]Write your answer as a number[/b].[br]Also try changing the shape of the quadrilateral by moving the vertices.
Pentagon
Using our previous answer and the fact that the sum of the interior angles in a triangle = 180[sup]o[br][/sup]we can determine the sum of the interior angles of a pentagon.[br]Which is the correct calculation?
Hexagon
Hexagon
Move the slider "Show Interior Angles" slowly and watch what happens once it gets to the right side.[br][u]How many triangles[/u] are created inside the hexagon? [br][b]Write your answer as a number.[/b][br]
Interior Angles in a Hexagon - Making connections
Using our previous answer and the fact that the sum of the interior angles in a triangle = 180[sup]o[br][/sup]we can determine the sum of the interior angles of a hexagon.[br]Which is the correct calculation?
Summarize
Write a summary of how to find the interior angles of a polygon- Include a formula for extra credit
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Information: Interior Angles in Polygons Exploration