1. Lesson 4: Proving Area of a Disk STUDENTS USE INSCRIBED AND CIRCUMSCRIBED POLYGONS FOR A CIRCLE (OR DISK) OF RADIUS AND CIRCUMFERENCE TO SHOW THAT THE AREA OF A CIRCLE IS 2.

2. Opening Exercise Find a formula for the area of the hexagon in terms of length of a side, s, and the distance from the center to a side.

3. Example, pg 20  Begin to approximate the area of a circle using inscribed polygons.  Sketch a P 4 (square). Shade in the area of the disk that is not included in P 4

4. Create a sketch of P 8 in the circle. Shade the area of disk not included

5. Approximating the area circle using circumscribed polygons  Sketch P 4 and Sketch P 8 

6. Using Circumscribed Polygons to estimate area of a circle

7. Relationship between polygons and circles.

9. Deriving the area of a circle using “limit”

10. Polygon to Circle Formula, Use bottom of pg 23