The use of technology is required, e.g.
• spreadsheet program
• graphs
• scientific calculator
• and/or other mathematical software, example Desmos
Context
Branding is an important part of all successful companies. It is often the first thing that a potential customer will notice about a company.
Design a logo or image for a company of your choice (the client). The company is looking for a design that is original, creative and aesthetically pleasing. It must also effectively capture the essence of their product.
Use at least three different types of the following functions: quadratic, cubic, quartic, circle, hyperbolic and inverse parabola. Other functions such as linear functions are allowed but no extra credit is given.
Submit two logos:
• the first will be a single colour (the focus should be on the strength of the silhouette).
• The second must include colour in order to enhance your logo and help the company advertise their product.
Task
Write a report for your client to introduce your design
• Clearly identify the nature of your client’s business
• Clearly identify the equations of your functions, their domains and ranges
• Comment on the strengths and limitations of your model and approach
• Comment on the visual impact of your design and how well it fits the client’s brief
• Include any initial assumptions and observations you have made, including their effect on your modelling
• Include clear images of your logo
To complete this task, you must:
• use the approach to problem-solving and mathematical modelling provided which includes the four stages Formulate, Solve, Evaluate & Verify and Communicate
• respond using a written report format that can be read and interpreted independently of the instrument task sheet
• respond with a range of understanding and skills, such as using mathematical language, appropriate calculations, tables of data, graphs and diagrams
• where necessary, demonstrate the use of complex procedures and use efficient methods
• develop a unique response with different data to other students in your class and school
Stimulus
• Consider existing popular logos and recognisable logos such as McDonald’s, Toyota or Nike
• Use the internet to get ideas but remember your logo must be an original design
• Consider the following link which explains mathematical concepts behind logo design https://thevisualcommunicationguy.com/2015/10/19/use-math-to-make-better-logo-designs-the-propositional-density-principle/
Authentication Strategies
• Students will provide documentation of their progress at indicated checkpoints including outline and draft
• Students will use the plagiarism-detection software Turnitin to submit outline, draft and final response
• Students must acknowledge all sources
• Student progress will be monitored at certain checkpoints (see above)
• Students must submit a declaration of authenticity
• Three hours of class time is provided for task completion
Scaffolding
The provided approach to problem-solving and modelling must be used