Be sure to download GeoGebra Augmented Reality on your device first. [br][br][url=https://itunes.apple.com/app/geogebra-augmented-reality/id1276964610&utm_source=Download+page&utm_medium=Website&utm_campaign=GeoGebra+Augmented+Reality+for+iOS][b][color=#1e84cc]Link to GeoGebra Augmented Reality app from App Store[/color][/b][/url][color=#1e84cc]. [br][/color]

1) Open up [b][color=#1e84cc]GeoGebra Augmented Reality[/color][/b] app on iPad or iPhone. [br][br]2) Go to MENU. Select "[b]Two Functions[/b]". [br][br]3) Delete the first equation (provided). For blue (top) equation, enter [math]z=\sqrt{9-x^2-y^2}[/math]. For bottom equation, type in [math]z=-\sqrt{9-x^2-y^2}[/math]. [br][br]4) Take a ball (sphere) and show how this is a perfect model for such a sphere. [color=#ff0000]See 0:12 - 0:15 in video.[/color] [br][br]5) Delete bottom equation (pink). Change top (blue) equation to [math]z=\sqrt{4x^2+4y^2}[/math]. (See 0:30 in video). This creates a cone. [color=#ff0000]If you have a funnel, you can show what you see in video from 0:44 to 0:54. [/color][br][br]6) Enter new pink equation z = 3. This illustrates one of the four main conic section types: A CIRCLE. [color=#ff0000]See 1:02 to 1:13 in video.[/color] [br][br]7) Now change pink equation to z = 2x + 1. This will create a cross section (intersection) that is a PARABOLA (2nd type of conic section). [color=#ff0000]See 1:16 - 1:31 in video. [br][/color][br]8) Now change pink equation to z = 0.5x + 3. This will create a cross section (intersection) that is an ELLIPSE (3rd type of conic section). [color=#ff0000]See 1:32 to 1:44 in video. [/color][br][br]9) Now change pink equation to z = 5x + 2. This will create a cross section (intersection) that is a HYPERBOLA (4th type of conic section). [color=#ff0000]See 1:45 to END in video. [/color][br][br]