View source for Tutorial:Conditional Visibility & Sequences

==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.

{|border="1" cellpadding="10"
|[[Image:Tool_Slider.gif]]||[[Slider Tool|Slider]]
|-
|[[Image:Tool_New_Point.gif‎‎‎]]||[[New Point Tool|New Point]]
|-
|[[Image:Tool_Vector_between_Two_Points.gif‎‎‎]]||[[Vector between Two Points Tool|Vector]]
|-
|[[Image:Tool_Move.gif‎]]||[[Move Tool|Move]]
|-
|[[Image:Tool_Segment_between_Two_Points.gif‎‎]]||[[Segment between Two Points Tool|Segment Between Two Points]]
|-
|[[Image:Tool_Insert_Text.gif‎‎]]||[[Insert Text Tool|Insert Text]]
|-
|[[Image:Tool_Check_Box_to_Show_Hide_Objects.gif‎]]||[[Check Box to Show / Hide Objects Tool|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 [[Slider Tool|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)''. {{hint|x(D) gives you the x-coordinate of point D. Thus, point R shows the result of the addition.}}
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).

[[Image:13_integer.PNG|center]]

===Insert dynamic text===
Enhance your interactive figure by inserting [[Insert Text Tool|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.

[[Image:13_integer2.PNG|center]]

==Conditional Formatting – Inserting Checkboxes==
===Construction Steps===
Insert a [[Check Box to Show / Hide Objects Tool|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 [[Check Box to Show / Hide Objects 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. {{hint|You might want to use a different name for this worksheet.}}

[[Image:13_integer3.PNG|center]]

===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. {{hint|This means that the visibility of text5 depends on the status of the checkbox.}}
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.

{{hint|Now the checkbox controls three objects of your dynamic figure: text5 (which shows the result of the addition), point R and segment i (which show the result on the number line).}}

==The Sierpinski Triangle==

==Introducing Sequences==

==Visualizing Multiplication of Natural Numbers==

==Challenge of the Day: String Art Based on Bézier Curves==