• A figure that appears
more disorganized, star-like, or crab-like has a higher perimeter^2 to
cells tend to appear more star-like, or crab-like as evidenced in
breast x-ray images.
traits of images of cells we can make a fairly reasonable decision that
more star-like cells, with a higher perimeter^2/area ratio are more
likely to be cancerous cells.
• Think: Try various ratios
out with this figure to experiment with the topics you just learned?
Extensions for the Mathematics
• Describe the ratio of
many sided regular polygons....What does the ratio tend toward as the
number of sides increases?
ratio of many sided irregualr polygons (like the star shape) What does
this ratio tend toward as the number of sides increases?
explored figures in 2-dimensions. We know that cells are 3-dimensional
yet the 2-D image can give us very useful information.
If the ratio r
= p^2/a works for 2 dimensional figures, is there an analog to three
dimensional figures? Hint: Consider surface area and volume.Consider the shape of a
soap bubble. Why do you think a soap bubble is a sphere and not spiky?
Extensions for the Science Classroom
Describe in a general sense what happens as cancer spreads, why are
cacnerous cell clusters harmful to the body?
What are the most common forms of cancer? Is there a difference
between cancer diagnoses in men and women? What kinds of
Extensions for the Social Studies Classroom
- What are harmful cancerous agents and how has our modern
existence enhanced the possibility of exposure to cancerous agents?
- Research the history of cancer discoveries. When was the
first diagnosis of cancer?
- Research more information about cancer on the internet and
explain how genetics, society, and lifestyle contribute to the
incidence of cancer.
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