Tutorial:Creating Dynamic Worksheets

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Creating Dynamic Worksheets

In this activity you will learn how to create a dynamic worksheet that illustrates how lower and upper sums can be used to approximate the area between a function and the x-axis.

Preparations

Construction Steps

1 Enter the cubic polynomial f(x) = -0.5x³ + 2x^2 – x + 1
2 Tool New Point.gif Create two points A and B on the x-axis
Note Hint: These points will determine the interval.
3 Tool Slider.gif Create a slider for the number n (interval 1 to 50; increment 1)
4 Create uppersum = uppersum[f, x(A), x(B), n]
Note Hint: x(A) gives you the x-coordinate of point A.
5 Create lowersum = lowersum[f, x(A), x(B), n]
6 Tool Insert Text.gif Insert dynamic text Upper Sum = and select uppersum from Objects
7 Tool Insert Text.gif Insert dynamic text Lower Sum = and select lowersum from Objects
8 Calculate the difference diff = uppersum – lowersum
9 Tool Insert Text.gif Insert dynamic text Difference = and select diff from Objects
Note Hint: Fix the slider and the text using the Properties dialog.

Task: Use slider n in order to modify the number of rectangles used to calculate the lower and upper sum. What happens to the difference of the upper and lower sum (a) if n is small (b) if n is big?

Reducing the Size of the GeoGebra Window

GeoGebra will export the algebra and graphics view into the dynamic figure of the worksheet. In order to save space for explanations and tasks on the dynamic worksheet you need to make the GeoGebra window smaller prior to the export.

  • If you don’t want to include the Algebra View you need to hide it prior to the export.
  • Move your figure (or the relevant section) to the upper left corner of the Graphics View using the Move Graphics View Tool.
    Note Hint: You might want to use tools Zoom in and Zoom out in order to prepare your figure for the export process.
  • Reduce the size of the GeoGebra window by dragging its lower right corner with the mouse (see right figure below).
    Note Hint: The pointer will change its shape when hovering above an edge or corner of the GeoGebra window.
Note: Although the interactive applet should fit on one screen and even leave some space for text on the worksheet you need to make sure that it is big enough to allow students manipulations and experiments.

Upload to GeoGebra

After adjusting the size of the GeoGebra window, you are now ready to export the figure as a dynamic worksheet using the File Menu.

  • File – Share
12 share.PNG
  • The GeoGebra website opens automatically where you have to login (or register if you do not have an account yet) before you are able to continue your upload.
12 upload.PNG
  • Fill in the information for your students. If you want, you can also select to show the Toolbar, the Input Bar or the Menubar. Click Continue.
  • Type a short explanation for other teachers, so that they are able to use your materials, too. This information is not shown on the student worksheet. Choose a target group and select tags that describe your material to help others with searching.
  • Finish your Upload with the Save button.

Your worksheet is now saved on GeoGebra where people are able to like/dislike the material or write comments.

Exporting a Dynamic Worksheet to a Webpage (for Advanced Users)

Instead of uploading to GeoGebra it is possible to export your dynamic worksheet to a webpage.

  • Export – Dynamic Worksheet as Webpage
    Note Hint: You could also use the key combination Ctrl + Shift + W.


12 export.PNG
  • Fill in the text fields in the appearing window in the Export as Webpage Tab (title of the worksheet, name of the author, and date).
  • Type a short explanation of the dynamic figure into the text field Text above the construction.
  • Enter tasks and directions for students into the text field Text below the construction.
  • Click Export and save your dynamic worksheet.
    Note Hint: GeoGebra will create several files which always need to stay together in order to maintain the functionality of the dynamic worksheet. We recommend creation of a new folder (e.g. Dynamic_Worksheets) within the GeoGebra_Introduction folder prior to saving your dynamic worksheet.


Tips and Tricks for Creating Dynamic Worksheets

  • After saving the dynamic worksheet it will be automatically opened up in your web browser. Check the text you inserted as well as the functionality of the interactive applet. If you want to change your dynamic worksheet go back to the GeoGebra file and make your changes to the figure. Export the figure again (you can use the same file name to overwrite the old worksheet) in order to apply your changes.
    Note Hint: You can change the text of the dynamic worksheet in the same way.
  • GeoGebra automatically saves your entries in the export window for dynamic worksheets. If you want to make changes to your figure while filling in the export dialog you can just close it and continue later on.
  • Make sure your applet is not too big. Your students shouldn’t have to scroll between the tasks and the figure because this makes learning more difficult.
  • Your dynamic worksheet should fit on one screen. If you want to include more than 3 tasks you should consider creation of another worksheet that includes the same dynamic figure but different tasks.

To enhance your dynamic worksheet by including different features using the tab Advanced read through Export as html Webpage.

Providing Dynamic Worksheets to Students

You can provide your dynamic worksheets in several ways to your students. However, in all cases it is very important to keep all the files together which were created during the export process.

Note: The files created have different file name extensions (.ggb, .html, .jar). If one of these files is missing your dynamic worksheet won’t function any more.

Local Storage Device

Copy all files into the same folder before saving this folder on a local storage device (e.g. flash drive, CD). Have your students copy the whole folder on their computers. Your students will have to open the file with the name extension .html in their Internet browser.

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