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Table of Contents
- Ideas for Student Activities & Explorations
- Conic Section Explorations
- Rotating about X-AXIS: Creating Surfaces of Revolution in GGB AR
- Rotating about Y-AXIS: Creating Surfaces of Revolution in GGB AR
- Gabriel's Horn: Virtual Exploration in GeoGebra Augmented Reality
- How to Create Surfaces of Revolution in GeoGebra Augmented Reality
- Is Penrose triangle possible?
Conic Section Explorations
Before we explore conic section types in GeoGebra Augmented Reality, let's explore them first in GeoGebra 3D Graphing Calculator app!
1.
[b][color=#ff00ff]Note the equation of the plane is z = some constant. [br][br][/color][/b][color=#ff00ff]Change the equation of this pink plane to z = 2. Then change it to z = 1. Then change it to z = 4. [/color][br][br]How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b]?
2.
Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=x+1[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?
3.
Now change the [b]equation of the plane [/b]to [math]z=0.5x+2.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?
4.
Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=3x+1.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?