[b]Students:[/b][br][br]You can use this applet to help you better visualize plotting points in 3-space on a CYLINDER. (Hence, the name [i]cylindrical coordinates[/i]). [br][br]Cylindrical coordinates are expressed in the form [math]\left(r,\theta,z\right)[/math]. [br][br][b]For [/b][math]\theta[/math][b], this applet uses units of RADIANS. [/b][b][br][br][color=#ff7700]The ORANGE POINT = THE POINT YOU'RE PLOTTING. [/color][/b][br][br]How can we describe what each of the 3 coordinates tells us? [br](Explain as best you can in your own words). [br][br][b][color=#1e84cc]To explore this within Augmented Reality, see the directions below the first screencast.[/color][/b]

1) Open up GeoGebra 3D app on your device. [br][br]2) Go to MENU, OPEN. Under SEARCH, type the resource id (in URL above): [b]tV6CZy9Y[br][br][/b]3) If you want to see the cylinder, find the variable [b]j[/b] and set it equal to [b]true[/b] (instead of false). [br][br]4) The slider [b]a[/b] controls [b]r[/b]. [br] The slider [b]b[/b] controls [math]\theta[/math]. [br] The slider [b]c[/b] controls [b]z[/b]. [br] The [b][color=#38761d]e[/color][/b] slider dynamically plots the point. [br][br] If you want to see the cylinder in AR, change the line [b]j = false[/b] to [b]j = true[br][/b] The [b]filling [/b]slider controls the shading of this cylinder.