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4 Points =
The student is able to independently complete the task. He/she
writes a correct functional equation, identifies all possible dimensions
for the rectangular pen using the set of whole numbers and identifies the
dimensions that produce the maximum area. The student is able to verify
his/her response with a neat and accurately drawn graph. The student's work is legible, neat
and well organized.
3 Points = The student needs coaching to write the
correct functional equation. He/she can then accurately complete the rest
of the task: identifying all possible dimensions, identifying the rectangle
having the maximum area and drawing the graph to to verify his/her
response. Although the student's work is correct, it is not as neat and well organized as it should be.
2 Points = The student needs coaching throughout
the entire task in order to complete the task. His/her work indicates a
lack of understanding of the concepts involved. The work is sloppy, poorly
organized, contains computational errors and shows a lack of mathematical thinking.
1 Point = Even with coaching, the student is unable to complete the
task. He/she does not understand the concept of perimeter and area and is
unable to write the area as a function of the length of the rectangle.
Consequently, the student is unable to find all possible rectangles or to
identify the rectangle having the maximum area. No graph of verification is
drawn. Work is poorly organized and shows no understanding of the problem.
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