1. Welcome This is a document to explains the chosen concept to the animator. This will take you through a 5 section process to provide the necessary details to the animator before starting the animation. The legend on the left will indicate the current status of the document. The big Black coloured number will denote the current section, the Grey color would denote the completed sections, and the Turquoise color would denote the remaining sections. The slides having yellow background (like this one) are the 'Instruction slides' 5 2 1 4 3

2. Rolle’s Theorem Geometrical interpretation: To observe the tangent lines at various points along the curve ‏ Course Name: Applied Maths-I Author/s Ms. S. Nagalakshmi Ms. Sheetal Gonsalves

3. Learning objectives After interacting with this Learning Object, the learner will be able to: To find the point at which the tangent will be parallel to X-axis. 5 3 2 4 1

4. Master layout or diagram Make a schematic diagram of the concept Explain the animator about the beginning and ending of the process. Draw image big enough for explaining. In the image, identify and label different components of the process/phenomenon. (These are like characters in a film) ‏ Illustrate the basic flow of action by using arrows. Use BOLD lines in the diagram (minimum 2pts.) ‏ In the slide after that, provide the definitions of ALL the labels used in the diagram You may have multiple master layouts. In this case, number the master layout. (e.g. Master layout 1, 2, 3…) ‏ 5 3 2 4 1

5. Master Layout Fig: 1 X- x axis, Y- y axis y=f(x) is a function of x a & b are any two points on the x axis, b > a P-moving point L-tangent line at point P f(a)=f(b) : value of the function at a & b 5 3 2 4 1

6. Definitions and Keywords 1 Tangent line at a point on the curve is the line which touches the curve at that point. For example refer the fig 2. 2 Parallel lines: two non intersecting lines are called parallel lines 3 4… 5 3 2 4 1

7. Explain the process In this step, use an example to explain the concept. It can be an analogy, a scenario, or an action which explains this concept/process/topic Try to use examples from day-to-day life to make it more clear You have to describe what steps the animator should take to make your concept come alive as a series of moving images. Keep the examples simple to understand, and also to illustrate/animate. 5 3 1 4 2

8. Analogy / Scenario / Action refer fig 3 As the viewer clicks on the red point (P)and move it along the curve, it should move with its corresponding tangent line(L). Note that the tangent line changes as the point changes. If the tangent line is parallel to x axis(that is the line does not intersect the x-axis at any point), show the line in blue colour. 5 3 1 4 2

9. Stepwise description of process The goal of the document is to provide instructions to an animator who is not a expert. You have to describe what steps the animator should take to make your concept come alive as a moving visualization. Use one slide per step. This will ensure clarity of the explanation. Add a image of the step in the box, and the details in the table below the box. You can use any images for reference, but mention about it's copyright status The animator will have to re-draw / re-create the drawings Add more slides as per the requirement of the animation 5 2 1 4 3

10. Step 1: Audio Narration (if any) ‏ Text to be displayed (if any) ‏ (DT) Description of the action/ interactivity T1: draw the curve Fig 1 5 2 1 4 3 none Draw the curve as shown in fig 1. (it is smooth curve ), curve starts and end at the same level. y= f(x)

11. Step 2: Audio Narration (if any) ‏ Text to be displayed (if any) ‏ (DT) Description of the action/ interactivity ‏ Fig.3 5 2 1 4 3 As the viewer clicks on the red point (P)and move it along the curve, point P should move with its corresponding tangent line(L). For example we have shown points P1, P2,P3. make the tangent line long enough to cover animation area.

12. Step 1: Audio Narration (if any) ‏ Text to be displayed (if any) ‏ (DT) Description of the action/ interactivity T1: Title of the step, to appear as heading of the screen (if any) ‏ Fig.4 5 2 1 4 3 none If the tangent line is parallel to x axis(that is the line does not intersect the x-axis at any point), show the line in blue colour. At this point we get f’(x)=0 Tangent is parallel to x axis.

13. Animation design Please see the design template provided in the next slide. This is a sample template, and you are free to change as per your design requirements. Try and rename the tabs / buttons / sections / subsections as shown in the template. Use ‘callouts’ as shown above to explain the source of content. Ex: If the call out is placed at the Tab 01, and you want the content to be taken from slide 3 of this presentation, then place this callout on the Tab 01, and write ‘Slide 3’ inside the callout. Slide 3 5 2 1 3 4

14. Animation area Instructions/ Working area Credits Name of the section/stage Interactivity area Tab 02Tab 03Tab 04Tab 05Tab 06Tab 07 Button 01 Button 02 Button 03 Introduction Slide 3

15. Interactivity and Boundary limits In this section, you will add the ‘Interactivity’ options to the animation. Use the template in the next slide to give the details. Insert the image of the step/s (explained earlier in the Section 3) in the box, and provide the details in the table below. The details of Interactivity could be:  Types: Drop down, Slider bar, Data inputs etc.  Options: Select one, Multiple selections etc  Boundary Limits: Values of the parameters, which won’t show results after a particular point  Results: Explain the effect of the interaction in this column Add more slides if necessary 4 2 1 3 5

16. Instructions for the animator Instruction to the learner Results and Output Boundary limits Interactivity type Interactivity option 1: Step No: 1 Image/graphic for explaining the interactivity options 4 2 1 3 5

17. Self- Assessment Questionnaire for Learners Please provide a set of questions that a user can answer based on the LO. They can be of the following types: – These questions should be 5 in number and can be of objective type (like MCQ, Match the columns, Yes or No, Sequencing, Odd One Out). – The questions can also be open-ended. The user would be asked to think about the question. The author is requested to provide hints if possible, but a full answer is not necessary. – One can include questions, for which the user will need to interact with the LO (with certain parameters) in order to answer it. – It is better to avoid questions based purely on recall. APPENDIX 1

18. Questionnaire: Use appropriate formatting for the questions APPENDIX 1

19. Links for further reading In the next slide, provide some reference reading material for the users. It could be books, reference publications, or website URLs. APPENDIX 2

20. Links for further reading Reference websites: Books: Research papers: APPENDIX 2

21. Summary Please provide points to remember to understand the concept/ key terms of the animation, in the next slide. The summary will help the user in the quick review of the concept. APPENDIX 3

22. Summary APPENDIX 3