Tuesday, March 11, 2008

8.5 Areas of Circles


The chapter looks at Areas of circles.

There is an activity which I didn't do but I would like to do if I had time. Cut a circle up into a bunch of sectors and lay them out to form a rectangular-ish shape. The rectangle will have a length of ( C / 2) and a width of r. I would like to do an activity where students cut up a circular object, like a paper plate or a pizza and find the area, then derive an area formula.

One thing I like about cutting up a circle into pieces is that it is a good way to introduce the concept of infinity, and thinking about cutting something up into infinitely many pieces to find the area.

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