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1
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2
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3
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4
|
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Use a string or
tape measure to measure the circumference of the object.
Use the circumference to compute the radius, and use
the radius to create a scatter plot. (x3points)
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Graph has a few points,
vaguely resembles the chosen object. No radius calculations
shown. No circumference measurements given.
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Graph has some points,
circumference measurements given, radius calculations
were given with no/incorrect work shown.
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Graph has 50 or more
points,looks much like the object chosen. Radius calculations
are complete with little or no errors. Circumference
measurements are recorded.
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Graph has at least
60 points. Radius calculations are without error. Circumference
measurements are recorded and easily interpreted.
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____
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Use the hand drawn
graph to compute left and right Riemann sums for the
volume. Average these sums to compute the trapezoidal
sum. Write a paragraph to explain what these sums represent.
(x4points)
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Few,incorrect or incomplete
sums. Incomplete or incorrect paragraph.
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The sums contained
at least 10 rectangles, with few or no errors. Paragraph
had some correct information.
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Sums contained at least
15 rectangles with no errors. Paragraph had mostly correct
information
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Sums contained at least
20 rectangles with no errors. Paragraph was completely
correct with all important information provided.
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____
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Use the regression
feature of a graphing utility to develop piecewise functions
to represent the object (x4points)
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Few incorrect or incomplete
functions.
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At least 10 functions
with few or no errors. When graphed it is possible to
identify the object.
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At least 15 functions
with no errors. The object is easily identified by the
graphs.
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At least 20 functions
with no errors. The graph looks exactly like the object.
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____
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Use the piecewise
functions to compute the volume of the object, write
a paragraph comparing these values to Riemann sum values.
(x4points)
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Few,incorrect or incomplete
calculations. Incomplete or incorrect paragraph.
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The calculations had
mostly correct bounds, with few or no errors. Paragraph
had some correct information.
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Calculations contained
fewer than 4 errors. Paragraph had mostly correct information
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Calculations were all
correct with all correct bounds of integration. Paragraph
was completely correct with all important information
provided.
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____
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Presentation of
project. (x2points)
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Very little organization.
Careless or illegible writing. In general difficult
to determine what work was done.
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Some organization.
Writing can be read with some effort.
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Good organization.
Each section of the project is labeled and easily identified.
Neat handwriting or typed.
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Very organized and
professional. A cover for the project as well as for
each section is included. Everything is labeled easily
identified. Project is typed.
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____
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Total---->
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____
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