Trigonometric section: Trigonometry found in the physical world around us Performance Assessment Specific learner outcome: Sketch with or without technology, the graph of y=sin x, y=cos x or y=tan x Determine the characteristics of the graph of y=sin x, y=cos x or y=tan x. Determine a trigonometric function that models a situation to solve a problem. Performance Objectives: Students will determine characteristics and graphical representations of trigonometric functions, create a physical model and determine a trigonometric function of that model, and solve the models trigonometric characteristics. Rationale explaining alignment between curriculum, instruction, and performance assessment: The research students complete will be an introduction to trigonometric functions, graphical representations, and properties. Learned properties and graphical representations of trigonometric functions will be used to analyze and determine the properties of model created by a student. The student must justify why a chosen trigonometric function was used to solve the models' properties. Rationale for engagement and authenticity: The assignment will allow students to use house hold items to create mathematical models of various trigonometric functions. The generation of the trigonometric functions will give the students greater insight into the mathematical phenomena and concrete examples that surround the students in their everyday environment. The student generated models should be varied and expand the students perspective of trigonometric possibilities around them. Your assignment is to investigate the properties and graphical representations of trigonometric functions (restricted to sin x, cos x , and tan x), create a model of a trigonometric function using items from your physical environment, analysis your model using know trigonometric functions, and identify applications of trigonometric functions in industry. The properties will be: • amplitude • asymptotes • domain • period • range • zeros The model you create must be a dynamic reproduction of a trigonometric function (sin x , cos x,or tan x) and you must justify why you decided to use this trigonometric function to represent your physical model. Your physical model will be accompanied with a static display of your trigonometric properties of each function (sin x, cos x, and tan x) and associated graphs for each function. Attached to your static display will also list three industrial applications of trigonometric functions. You have to choose one trigonometric function to analyse your model. Additional trigonometric functions maybe done, but no bonus marks will be awarded. Finally, do not forget to include bibliography with: • You can use any number of sources (example, 1 to 10) Excellent (20) Amount of information Good (15) Fair (10) Needs Improvement (5) One or more topics were not addressed. All topics are All topics are All topics are addressed addressed addressed, and all and most and most questions questions questions answered answered answered with at least 2 with at least 2 with 1 sentences sentences sentence about each. about each. about each. Quality of Information Information Information Information information clearly relates clearly relates clearly relates has little or to the main to the main to the main nothing to do topic. It topic. It topic. No with the main includes provides 1-2 details and/or topic. several supporting examples are supporting details and/or given. details and/or examples. examples. Diagrams & Diagrams and Diagrams and Diagrams and Diagrams and Illustrations illustrations illustrations illustrations illustrations are neat, are accurate are neat and are not accurate and and add to accurate and accurate OR add to the the reader's sometimes do not add to reader's understanding add to the the reader's understanding of the topic. reader's understanding of the topic. understanding of the topic. of the topic. Notes Notes are Notes are Notes are Notes are recorded and recorded recorded. recorded only organized in legibly and with an extremely are somewhat peer/teacher neat and organized. assistance orderly and fashion. reminders. Sources All sources All sources All sources Some (information (information (information sources are and graphics) and graphics) and graphics) not accurately are accurately are accurately are accurately documented. documented documented, documented, in the desired but a few are but many are format. not in the not in the desired desired format. format. Score