Goal: The goal is to settle a dispute over the relationship between area and perimeter.

Role: You are a geometry expert called to testify in a court case.

Audience: The audience is the judge and jury who are not necessarily mathematically oriented.

Situation: Lou and Sue were recently discussing whose garden had the most area to plant flowers.  Lou claimed that rather than compute the area of the gardens, they could simply walk around the two gardens to get the perimeter and the one with the greatest perimeter would have the greatest area.  Sue told Lou that he was crazy because greater perimeter does not automatically mean greater area.  Lou and Sue broke into a fight and now are in The Mathematics Court trying to determine who is correct.

Product: You are to write the speech that you will deliver on the witness stand that enables the judge and jury to decide whether Lou or Sue is right.  In addition to the speech, you will prepare an 11 inch by 14 inch poster that contains examples which support your argument.  Within your speech, you should refer to the examples contained on the poster.

Standards: You may assume that both Lou and Sue understand the concepts of area and perimeter and they are not simply getting these terms confused.  However, a brief discussion of these terms is appropriate to begin your speech for the sake of the judge and jury.  Your task should be typed and should include a copy of the attached rubric.

Scoring Rubric:

 Category 4 – 5 points 2 – 3 points 0 – 1 points Product: Speech: Mathematical Concepts Explanation shows complete understanding of the mathematical concepts involved, including area, perimeter, and their relationship. Explanation shows some understanding of the mathematical concepts involved. Explanation shows very limited understanding of the underlying concepts involved OR is not written. Product: Speech: Mathematical Explanation Explanation is detailed and clear with supporting pictures/drawings. Explanation is a little difficult to understand, but includes critical components. Explanation is difficult to understand and is missing several components OR is not included. Product: Poster Poster contains examples that support the speech and enables the audience to correctly assess the claims of Lou and Sue. Poster’s examples do not effectively support the speech. Poster’s examples do not enable the audience to correctly assess the claims of Lou and Sue OR no poster is included. Standards for Speech Speech primarily focuses on the relationship of area and perimeter. Speech somewhat focuses on the relationship of area and perimeter. Speech fails to effectively describe the relationship between area and perimeter. Creativity/Originality The testimony and exhibits contain many creative details and/or descriptions that contribute to the authenticity of the task.  The author has really used his/her imagination. The testimony and exhibits contain a few details and/or descriptions that contribute to the authenticity of the task.  The author has tried to use his/her imagination. There is little evidence of creativity in the testimony and exhibit.  The author does not seem to have used much imagination.