Sphere as a LOCUS: Quick Exploration and Prompt
STUDENTS:
In the GeoGebra applet below,
1) Find the slider (on the left) named Animate. Slide this slider completely to the right.
2) Now use the xcoord & ycoord sliders to move the black point (that lies on the sphere) around.
3) Change the value of r by moving the r slider back and forth.
After doing so, please answer the QUESTION that appears below the applet.
To explore this resource in Augmented Reality (makes a much more effective experience here), see the directions below the applet & question.
QUESTION:
How would you describe ALL POSSIBLE LOCATIONS for the LARGE BLACK POINT that lies on the sphere? Describe specifically as best you can.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device.
2) Go to MENU, OPEN. Under SEARCH, type g7qmdmqw.
3) The Animate slider controls the animation.
The r slider adjusts the radius of the sphere.