Tuesday, March 11, 2008

8.6 Any Way You Slice It

This chapter looks at parts of circles.

My students found this very challenging. In this section we are looking at the area of 3 types of sections of a circle: a sector, an anulus, and a segment.




In the book they explain how to find the areas of these and I think that these were confusing to my students. As I think about this more I believe that the concept of how to find areas is more important then the formulas.

For the area of a sector a complicated formula is presented, and I think that the best way to think about this is by comparing fractions.

partial degrees / 360 = partial area / total area

This will help understand the idea of comparing proportional parts. The degrees are proportional to the area. This concept is very useful, and could be used for a wide variety of problems, I think this alone might deserve a full day in the future.

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