MATHEMATICAL METHODS
ASSESSMENT 3: ASSIGNMENT
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Program
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Standard Foundation Program/TPP
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Cohort
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SFP124
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Course
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Mathematical Methods
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Course Code
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MATH1102E
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Assessment Name
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Assessment 3: Graphing Project
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Weighting
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20%
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Instructions
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Refer to page 2 and 3
Further instructions will be provided by your teacher during class time.
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Due Date
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Week 18 (Friday 10pm).
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Context and Task
You have successfully obtained a contract from the local art gallery to recreate/reinterpret a piece of preexisting artwork. To do this you have been instructed to use at least ten different mathematical functions. These functions can include straight lines, parabolas, cubics and quartics (and other higher-order polynomials). Logarithmic, exponential and periodic (sine and cosine) functions can also be used. You must use your knowledge of functions together with software, such as Desmos (https://www.desmos.com) or Microsoft Excel to recreate an outline of your selected artwork. You do not have to use colour in your interpretation. Imaging software such as ImageJ (https://imagej.nih.gov/ij/) should be used in the replication process. You must also show the precise coordinates where your functions intersect each other on the plane using ‘pen and paper’ analytical techniques (where possible). In addition, you must determine the accuracy of your recreated artwork by using regression analysis (by calculating r2 values where required).
Example artwork: Man looking out to sea.
(Source:https://www.freepik.com/premium-ai-image/watercolor-painting-man-sitting-beach-looking-sea_44700733.htm)
To successfully complete this project, you must do the following:
• Present your findings as a report based on the approach to problem-solving and mathematical modelling outlined in the exemplar/s provided by your teacher. Your teacher will discuss this with you in more detail during class time.
• Respond with a wide range of understanding and skills, such as using appropriate mathematical language, calculations, and tables of data, graphs and diagrams.
• Provide an authentic response that highlights this real-life application of mathematics. Do NOT use data collected by someone else.
• Respond using a written report format that can be read and interpreted independently of the assignment task sheet.
• Follow the requirements of the Marking Criteria Sheet (Rubric) (see page 4).
• Use both analytic (pen and paper) procedures and technology (Microsoft Excel, MATLAB or Desmos) throughout your response
The report you produce to present your results must include these components:
• Introduction: Provide a detailed outline of the task, all your assumptions, evaluate the strengths and limitations of the data collection process you have used, and clearly define all the mathematical and computational techniques used in the report.
• Results: Include and discuss tabular and graphical representations of the data collected.
• Discussion: Further discuss your results by evaluating the accuracy of your artwork model, detail the strengths and limitations of the modelling process that you used.
• Conclusion: Include a brief summary of your findings, and the strengths and limitations of your artwork model.
• References List: Use the APA referencing scheme.
• Your assignment should only be 8 pages (single line spacing) in length (not including appendices).
Authentication Strategies
• Students will provide documentation of their progress at indicated checkpoints.
• Students will produce a unique response by using individually collected datasets that produce unique results and reports.
• Students will use plagiarism-detection software at the submission of their assignment.
• Students will sign a declaration of authenticity (during the submission process).