Culminating Task: Making the World a Better Place Part of the evaluation of this course will be in the form of a Culminating Task, worth 15% of your final course work In this activity you will explore connections between the concepts leared in this course and environmental issues. Specifically, you will create a mathematical model and visual representations to provide evidence to convince investors that a way to improve an environmental issue of your choice would be a worthy project in which to invest. Overview You have decided that you are going to make a pitch to the hosts of a reality TV show where entrepreneurs request funding for projects, or products, designed to reduce the damage to the environment caused by human activity Your pitch must combine a compelling reason why your initiative should be supported, with evidence that justifies the need for action. You will research and collect secondary data, use the data to create graphical and algebraic models, make predictions based on your algebraic model and create a visual presentation using the media platform of your choice (PowerPoint, WordPress, Prezi, Weebly, iMovie, Show Me, Blogger, Tumblr, YouTube, otc.). The function used to create your algebraic model must be one of the types of functions (polynomial of degree 3 or higher, exponential, logarithmic or trigonometric) covered in this course Step 1: Identify and describe an environmental issue and a proposed way to reduce impact and improve outcomes. The proposal could be as simple as a campaign to convince people to change daily habits that are harmful to the environment or as complex as developing a new environmentally friendly product or process, Step 2: Research secondary data from a reliable source and create a mathematical model to predict outcomes if no action to reduce harmful effects is taken Step 3: Create algebraic and graphic representations of your model and provide a brief, but convincing, description of the benefits of your proposal. 30 Task Checklist This assessment is out of 60 marks and is worth 15% of your final mark. You will submit your Culminating Task upon completion of Unit 4 where you will be prompted at the end of the final learning activity to submit your assessment for feedback and a grade by sidecting the "Assignments" link and following the submission directions 2 5 5 Your proposal should contain the following elements: Task Checklist Item Welcht No. of marka A description of the environmental issue that needs to be addressed A description of the product or change in behaviour that could reduce the damage caused by the environmental issue with justification A set of secondary data from a reliable source, in table form, pertaining to the environmental issue. It must be appropriate for modeling with one of the types of functions studied in this course: polynomial of degree 3 or higher, exponential logarithmic or trigonometric. A spreadsheet (Excel, Google Sheets etc.) could be used to create the table and would facilitate graphing the data The APA reference for the data set. A scatter plot of the data including appropriate titles, scales and units, created with the graphing technology of your choice An algebraic model that fits the data. The model can feature one of the functions mentioned above or could be a combination or composite of two of those functions. The choice of model should be based on visual inspection of data trends observed and does not need to be supported by statistical analysis, which is beyond the scope of this course An explanation of how the algebraic model was determined, including justification for the choice of parent function (or combined or composite function) and any transformations used to model the data Restrictions on the domain of your function and a description, including justification of potential limitations of the algebraic model as it applies to correlation with the data and the real world context. A graph of the algebraic model, including appropriate titles, scales, units, and restrictions on the domain, created with graphing technology, and superimposed on the scatter plot. 3 At least one calculation using the algebraic model to make a prediction or for emphasis 10 A brief sales pitch, using the graph as evidence, and calculations involving the algebraic model to make predictions to convince the reality TV show panel that your proposal deserves support Correct use of mathematical terminology and conventions throughout 5