Thoughts from a 21st century educator.
If you drag point C, you can change the size of the triangle below dragging the entire triangle can be used to rotate it (around a point "near" B). Notice that the ratio of the three sides, shown on the right, does not change.
The following constructions are all conic sections (as I was teaching this section to my 10th grade students) and are 'quick and dirty' constructions of conic sections. All you need to do in the examples is drag the point C left and right to see the shapes show up.
I got it working on Ubuntu. Turns out the problem was my version of Java, I had 5, Geogebra says it wants 4, but apparently on Ubuntu it actually needs 6.
Whatever, it works, cheer! I love Geogebra, I'm not ready to give it up.
So I just started using Ubuntu, and decided that I needed to set up my Ubuntu installation with all of the cool cross-platform programs I've been using in Windows. I swapped Wamp5 for Lampp, and am using Eclipse successfully instead of Programmer'as Notepad. It's only been a couple of days, but so far I am pretty happy. Apt-get is my new favourite command.
You can use this applet to show your students how to examine cubic polynomials and determine the effect of changing the 4 coefficients of the equation [tex]f(x)=ax^3+bx^2+cx+d[/tex].
In this applet, we can see visually what happens when we multiply two complex numbers (each of which has a length of 1). Vector u, and vector v are multiplied to give vector w.
Try dragging B and C, the endpoints of v and u respectively to try and see what the result of the multiplication of two complex numbers is.
This applets allows the user to see the complete construction of all 3 angle bisectors of a triangle.
Notice anything about the three bisectors? Where do they intersect?
This applet allows users to see a quick animation of how to construct a perpendicular bisector.
Below is a short step by step animation that shows the steps in constructing an angle bisector.
If you press play, you can see the steps animated one at a time.
This applet shows you how the distance formula varies as you change the position of the points.
Drag A or B and see the effect on the distance formula.