Frequently Asked Questions: 1. Do we have to use sliders? Yes, you have to. That is what is used for animation. You need to animate only one or two functions...i.e. to use only one or two sliders. 0. Are we allowed to use circles or functions not learned in MHF4UE? No. if you want to use a circle, you can write it as a function. For example:y=sqrt(9-x/'2) and y=-sqrt(9-xA2) 0. Can you post exemplars of student designs? Here is an exemplar. You design and functions used must be different from the ones in the exemplar. The exemplars posted have different constraints and rubric from yours. This is just to show you an example. You MUST follow the constraint and rubric in your project, NOT the exemplar. Design Exemplar: http_s://www.desmos.com/calculator/wcpzdrcvgz 0. How complex and detailed should the design be? It is completely up to you. As long as you include the required functions in the design, then the design is good enough. We are really focusing on you organizing the functions into the corresponding folders and especially in completing the summary table. !! It is a good idea to focus on creating a design that includes the required functions and then move on to complete the summary table. Once you are finished with the summary table, you can go back and add more details to your design if you choose to. 0. Do I have to shade portions of their design? To shade part of the design, you have to use inequalities which connects directly to the curriculum expectations so shade at least one part of their design. For example: f(x) : sinx could represent a wave in their design. y=3. So no parabolas? Lines? Absolute value? No other functions allowed. This means no linear, quadratic, absolute value functions allowed or functions that were not covered in this course. 0. Are the sliders set at a certain speed ie can we vary the speed of the animations? Yes you can vary the speed and also the direction of motion. Q) f(x) 7 usin ll).\\' + l Animation Mode (V _. _. _, ,_, J . l v 0 ' Speed > The Videos included in the project explain a lot of the technicalities of sliders. 8. What do we need to submit? o The completed summary table. 9. What do you mean by separate folder and without restrictions? As of now, I have restrictions for all my sum, product, quotient and composite on the graph. You create a new folder called "Summary Table". In this folder you create a copy of the four functions you chose for the summary table but without restrictions or sliders. Then click on the folder icon to hide the functions in this folder. 10. What do you mean by proper terminology? Where do I use them? To answer questions in the summary table, you need to explain your answers. In your explanations you need to use proper terminology. 11. What do you mean by notation? Communication in math involves proper notation such as function notation for example or proper form for writing equations, for example sin=0.9 is not proper notation. 12. What do you consider meaningful? I should be able to look at your design and be able to tell what it represents. If it is just a collection of curves then it is not meaningful. 13. When stating the local max and min for the equation for sum/ difference am I supposed to state the local max and min of the function without the restrictions? If so, my function has infinite local max and min because it is a sine function. What shouldI do? Yes, you state the local max and min of the function without the restrictions. If the function has innitely many, then: a) if there is a pattern then state the pattern, for example: The rst min is at (30.4) and it repeats every 70 units b) If there is no pattern, then state two of the max and min points and state that there are innitely many. Please note that you can copy the point from desmos but you have to explain how you know it is a maximum point. You can refer to the IRC , the behaviour of the graph what happens before and after the max what happens at the max. 14. Can I use the equation of the circle in my summary chart? No, use a different function. 15. For the summary chart do you want us to write the whole function or can we just write e.g. F(x)+g(x) Write the Whole function. Name: Date: MHF4U - Desmos Animated Design 20 marks In this assignment, you will use your knowledge of advanced functions and the graphing calculator desmoscom to create an animated design that is inspired by your hobbies. You will also analyze some of the functions used and complete a summary table. Due date: Wednesday, August 23, 2023 by noon The animated design must meet the following criteria: A. .Icamrnpow F Your task is: II LJLJLJLJLJLJ II It is unique and your own work El It must have a minimum of 10 functions II It includes at least one of each of the functions below: Polynomial function (degree 3 or higher) Exponential function Logarithmic function Trigonometric function Rational function A sum or difference of two functions from the categories above A, B, C, D, E (eg. a trig & a rational) . A product of two functions from the categories above A, B, C, D, E (eg. a trig & a rational) A quotient of two functions from the categories above A, B, C, D, E (eg. a trig & a rational) A composite of two function functions from the categories above A, B, C, D, E (eg. trig & a rational) No other functions allowed. This means no linear, quadratic, absolute value functions allowed or functions that were not covered in this course. Watch the videos posted for support with your design and using desmoscom (30 minutes) III Desmos Designs Playlist - YouTube Use the desmos activity link posted in the announcement to create your animated design. All functions used in your design must be organized into folders in Desmos by function type Complete the Summary Table on the next page. Include a copy of all the functions used in your summary table in the folder \"Summary Table\" in Desmos. Do not include restrictions in this folder. Submit a pdf copy of the completed summary table in the culminating task folder in Brightspace Name: Date: Summary Table Use functions from your desmos design to complete the summary table below. A sum or difference Local Max and Local Min. Justify your answer with reference to the graph of this of two functions function and the sign of IRC. Function from your design Disregard desmos restrictions. Set sliders = 1 if needed A product of two x intercepts and y intercept. Justify your answer with calculations and show algebraic functions steps to determine the x intercepts and the y intercept. Function from your design Disregard desmos restrictions. Set sliders = 1 if needed A quotient Of two Domain and Range, Asymptotes. Justify your answer with reference to your equation functions and graph- Function from your design Disregard desmos restrictions. Set sliders = 1 if needed A composite Instantaneous Rate of Change at x=A function Choose a value for A in the domain of your function and show full calculations. Function from your design Disregard desmos restrictions. Set sliders = 1 if needed Name: Marking Rubric: Use and notation of functions. Characteristics of sum/difference and product Functions Characteristics of quotient and composite Functions Animation using sliders. Shading using inequalities. At least one slider and one inequality. Design Pattern Organization in Desmos Folders Every function is used at least once. Notation is correct. Characteristics for original functions is stated correctly for all functions Characteristics for compound and composite functions is stated correctly for all functions Work is presented with details, justified thoroughly with proper terminology. Sliders and Inequalities are used. A clear, meaningful design is present. All functions are organized in the corresponding folders in Desmos. Functions from summary table placed in separate folder without restrictions. Missing one or two functions. Notation is correct. Characteristics for original functions is missing or stated incorrectly for one or two functions Characteristics for compound and composite functions is missing or stated incorrectly for one or two functions Work is presented with details, justified with mostly proper terminology. Sliders and Inequalities are used. A clear design is present. All functions are organized in the corresponding folders in Desmos. Functions from summary table placed in separate folder without restrictions. Three functions are missing. Notation is mostly correct. Characteristics for original functions is missing or stated incorrectly for three or four functions Characteristics for compound and composite functions is missing or stated incorrectly for three or four functions Work is presented with a few details, justified with incorrect terminology. Sliders or Inequalities are not used. Some elements of a clear design are present. Most functions are organized in the corresponding folders in Desmos. Functions from summary table placed in separate folder without restrictions. Date: Many functions are missing. Notation is incorrect. Characteristics for original functions is missing or stated incorrectly for most functions Characteristics for compound and composite functions is missing or stated incorrectly for most functions Work is presented with no details, justified with incorrect terminology. Sliders and Inequalities are not used. Few elements of a clear design are present. Few functions are organized in the corresponding folders in Desmos. Not all functions from the summary table are placed in a separate folder without restrictions. Incomplete Incomplete Incomplete No creative pattern. Functions are not organized in folders in Desmos. Functions from the summary table are not placed in separate folder without restrictions. \f