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Quote of the Day:
"Mathematics is written for mathematicians."
-- Copernicus
Objectives:
The student will continue to compute differentials.
The student will apply differentials to computing
approximations for roots.
1. Collect homework.
2. To introduce Linear Approximations or Differentials:
If you stretch a rope tightly around the earth,
and then increase the length of the rope by about
6 feet (i.e, you increase the circumference by 6.28
feet), how far would the rope be above the ground?
Have students write down their guess.
Answer is one foot!
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How would this change if the rope were tied around a
ball that has a diameter of 1 foot?
To illustrate, take a piece of string and have
students make a circle with it on the floor.
Then take another piece of string (6 feet 3 inches
longer than the first) and make a circle outside
the first. Measure the change in the radius.
3. Example
4. Ten Commandments of Mathematics
5. Assignment:
p. 230 (38, 41)
p. 188 (27, 28)
p. 233 (25, 31)
"Farside" Droodle Worksheet
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