Difference between revisions of "Tutorial:Conditional Visibility & Sequences"
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==The Sierpinski Triangle== | ==The Sierpinski Triangle== | ||
You will now learn how to create a custom tool that facilitates the construction of a so called Sierpinski triangle. | You will now learn how to create a custom tool that facilitates the construction of a so called Sierpinski triangle. | ||
+ | |||
+ | [[Image:Sierpinski1.PNG]] | ||
===Preparations=== | ===Preparations=== |
Revision as of 10:37, 9 July 2012
Visualizing Integer Addition on the Number Line
In this activity you can either use the following tools or corresponding commands. Make sure you know how to use them before you begin.
Slider | |
New Point | |
Vector | |
Move | |
Segment Between Two Points | |
Insert Text | |
Checkbox to Show/Hide Objects |
Construction Steps
1. Open a new GeoGebra window and hide the Algebra View. Set the labeling option to All new objects (Options Menu).
2. Open the Properties dialog for the Graphics View. On tab yAxis, uncheck Show yAxis. On tab xAxis, set the distance of tick marks to 1 by checking the box Distance and entering 1 into the text field. On tab Basic set the minimum of the x-Axis to -21 and the maximum to 21.
3. Create sliders a and b (interval -10 to 10; increment 1). Show the value of the sliders instead of their names (Properties dialog).
4. Create points A = (0 , 1) and B = A + (a , 0).
5. Create vector u = Vector[A, B] which has the length a.
6. Create points C = B + (0 , 1) and D = C + (b , 0) as well as vector v = Vector[C , D] which has the length b.
7. Create point R = (x(D) , 0).
8. Create point Z = (0, 0) as well as the following segments: g = Segment[Z, A], h = Segment[B, C], i = Segment[D, R].
9. Use the Properties Dialog to enhance your construction (e.g. change color, line style, fix sliders, hide labels).
Insert dynamic text
Enhance your interactive figure by inserting dynamic text that displays the corresponding addition problem.
10. Calculate the result of the addition problem: r = a + b
11. In order to display the parts of the addition problem in different colors you need to insert the dynamic text step by step. a. Insert text1: Select a from Objects b. Insert text2: + c. Insert text3: Select b from Objects d. Insert text4: = e. Insert text5: Select r from Objects
12. Match the color of text1, text3, and text5 with the color of the corresponding sliders and point R. Hide the labels of the sliders and fix the text (Properties Dialog).
13. Export the interactive figure as a dynamic worksheet.
Conditional Formatting – Inserting Checkboxes
Construction Steps
Insert a checkbox into the Graphics View that allows you to show or hide the result of the addition problem (text5, point R, and segment i).
1. Activate tool Checkbox to show and hide objects.
2. Click on the graphics view next to the result of the addition problem.
3. Enter Show result into the Caption text field.
4. From the drop down menu successively select all objects whose visibility should be controlled by the checkbox (text5, point R, and segment i).
5. Click Apply to create the checkbox.
6. In Move mode check and uncheck the checkbox to try out if all three objects can be hidden / shown.
7. Fix the checkbox so it can’t be moved accidentally any more (Properties dialog).
8. Export this new interactive figure as a dynamic worksheet.
Boolean variables
A Check Box to Show / Hide Objects is the graphical representation of a Boolean variable in GeoGebra. It can either be true or false which can be set by checking (Boolean variable = true) or unchecking (Boolean variable = false) the checkbox.
1. Open the Properties dialog. The list of Boolean values only contains one object called j, which is represented graphically as your checkbox.
2. Select text5 from the list of objects in the Properties dialog.
3. Click on tab Advanced and look at the text field called Condition to Show Object. It shows the name of your checkbox j.
4. Select point R from the list of objects in the Properties dialog. Click on tab Advanced. The text field Condition to Show Object is empty.
5. Enter j into the text field Condition to Show Object. The visibility of point R is now connected to the checkbox as well.
6. Repeat steps 4 and 5 for segment i which connects the second vector with point R on the number line.
The Sierpinski Triangle
You will now learn how to create a custom tool that facilitates the construction of a so called Sierpinski triangle.
Preparations
- Open a new GeoGebra window.
- Switch to Perspectives – Geometry.
- In the Options menu set the Labeling to New Points Only.
Construction Steps
Conditional Visibility
Insert checkboxes that allow you to show and hide the different stages of the Sierpinski triangle.