Volumes of Solids of Revolution Project
Volumes of Solids of Revolution Project Scoring Guide
Volumes of Solids of Revolution Honors Problem/Project
due Friday, April 21, 2006
You are to find the volume of a glass or other symmetrical object by using a solids of revolution method. You may not use the same object as any other person; to insure this, please bring in an example of your object within the first week. Your object cannot have straight sides; it must require you to use regression curves from your calculator.
You may find it useful to sketch the glass on a piece of engineering graph paper (much smaller squares than normal graph paper) in order to get a more accurate answer. You can also use a set of calipers to measure your object. Your final answer must be in reasonable units: cubic inches or cubic centimeters. You are also required to find the volume using a second method: slicing into n disks or measuring the actual volume using some calibrated method (i.e., using a graduated cylinder).
This assignment will be a performance grade worth 50 points. All writing for these projects must be completed on a word processor. You may also use poster boards for your project. Any other models, lab materials, etc. that you wish to use are welcomed. Each paper will be graded according to the checklist/rubric handed out to you. Please read the Guide to Writing before you begin your project so that you can ask any necessary questions.
You must bring in your object on the due date, and you are also required to turn in a copy of the checklist with your paper (or have 5 points deducted)!!!
Volumes of Solids of Revolution Project Scoring Guide
Accuracy of MathematicsWeight: 3 / Organization
Weight: 3 / Graphs & Formulas
Weight: 2 / Citation of Sources
Weight: 1 / Grammar & Punctuation
Weight: 1
5 / All mathematical calculations are correct. A step-by-step explanation of how your problem was approached is included and easily understood. Volumes are calculated using two different methods. A percentage of error is calculated, and multiple reasons for error are given. / The paper is typed and organized in appropriate paragraphs. The text is double-spaced, appropriate math symbols are typed, and variables are italicized. Calculations are inserted within the text. The problem and its answer have been restated in the introduction. Sketches of your object on graph paper are included. / All graphs and diagrams are clearly labeled with the appropriate units and are accurate. Any formula used in the paper has its variables defined, and each formula is derived or cited. / In text documentation and a works cited page are used appropriately to acknowledge sources of formulas and other information. / The paper has three or less errors in grammar, punctuation, or spelling.
4 / Most mathematical calculations are correct. A step-by-step explanation of how your problem was approached is included and may be difficult to follow. Volumes are calculated using two different methods. A percentage of error may or may not be calculated, and multiple reasons for error may or may not be given. / The paper is typed and somewhat organized in appropriate paragraphs. The text is double-spaced and variables are italicized. Mathematical symbols are written neatly rather than typed. Calculations are inserted within the text. The problem and its answer have been restated in the introduction. Sketches of your object on graph paper are included. / Most graphs and diagrams are clearly labeled with the appropriate units and are accurate. Any formula used in the paper has its variables defined, and most formulas are derived or cited. / Some other documentation besides in text documentation is used to acknowledge sources of formulas and other information. / The paper has between four and eight errors in grammar, punctuation, or spelling.
3 / Some mathematical calculations are correct. A step-by-step explanation of how your problem was approached is included and may be difficult to follow. The volume is calculated using one method. Reasons for error are not given. / The paper is typed and somewhat organized in paragraphs. Mathematical symbols are written rather than typed. Calculations are not inserted within the text. Either the problem or its answer has been restated in the introduction. Sketches of your object on graph paper are not included. / Half of the graphs and diagrams are clearly labeled with the appropriate units, and half of them are accurate. Some formulas used in the paper have their variables defined. / Inappropriate documentation is used to acknowledge sources of formulas and other information. / The paper has between nine and twelve errors in grammar, punctuation, or spelling.
2 / Few mathematical calculations are correct. A brief explanation of how your problem was approached is included and is difficult to follow. The volume is only calculated using one method. / The paper is typed and not organized into paragraphs. Calculations are not inserted within the text. The problem and/or its answer have not been restated in the introduction. Sketches of your object on graph paper are not included. / None of the graphs or diagrams is clearly labeled with the appropriate units, and half of them are accurate. Some formulas used in the paper have their variables defined. / Documentation is used sometimes to acknowledge sources of formulas and other information. / The paper has between twelve and fifteen errors in grammar, punctuation, or spelling.
1 / Few mathematical calculations are correct. No explanation of how your problem was approached is included. The volume is only calculated using one method. / The paper is not typed or organized into paragraphs. The problem and its answer have not been restated in the introduction. Sketches of your object on graph paper are not included. / None of the graphs or diagrams is clearly labeled with the appropriate units, and none are accurate. Some formulas used in the paper have their variables defined. / Documentation is not used at all to acknowledge sources of formulas or other information. / The paper has more than fifteen errors in grammar, punctuation, or spelling.