Plotting Points
Contains dynamic and interactive applets re: plotting points in the coordinate plane & 3-space. Polar coordinates included.
Table of Contents
- 2D: Coordinate (xy-) Plane
- Plotting Points (x,y): Dynamic Illustration
- Plotting Points: Dynamic Illustrator
- Plotting Points (x,y): Quiz
- Rant Rant Rant Rant!
- Quadrant Identification
- Battleship in the Coordinate Plane!
- Polar Coordiantes
- Polar Coordinates: Introduction
- Writing Equivalent Polar Coordinates: Quiz
- Battleship: Polar Coordinate Style!
- Plotting Points in 3-Space
- Plotting Points in 3D: Dynamic Illustrator
- Cylindrical Coordinates: Dynamic Illustrator
- Spherical Coordinates: Dynamic Illustrator
Plotting Points (x,y): Dynamic Illustration
[b][color=#000000]A COORDINATE is a NUMBER or a LETTER that indicates LOCATION. [/color][/b][color=#000000][br]Did you ever play Milton Bradley's game [/color][b][color=#000000]Battleship[/color][/b][color=#000000] as a kid? [br]If so, you dealt with coordinates! "A5" was either a "hit" or a "miss", right? [br]In this game, the "A" and the "5" are called coordinates. [br][br]Your mobile device can indicate your latitude and longitude. [br][b]LATITUDE and LONGITUDE[/b] are numbers that help tell a person his/her [b]LOCATION.[/b] [br]Thus, [b]LATITUDE and LONGITUDE[/b] are said to form a pair of [b]COORDINATES. [/b] [br] [br][/color]Note the coordinate plane below. [color=#0000ff]Press the [/color][color=#38761d]"New Example"[/color][color=#0000ff] button. After doing so press [/color][color=#bf9000]"Plot Point"[/color][color=#0000ff]. [br][/color]Be sure to watch the specific dynamics of how to plot a point correctly. Repeat the [b][color=#0000ff]colored step[/color][/b] above approximately 10 times. [color=#000000]Then, go to the link indicated below the applet. [/color]
[color=#000000]Once you're confident in your ability to plot a point given its coordintes, [url=https://www.geogebra.org/m/AbRPAY8V]click here[/url] to put into practice what you've just learned! [/color]
Polar Coordinates: Introduction
[color=#000000][br]Slide the [b]black slider [/b](lower right corner in the app below) to illustrate how polar coordinates [math]\left(r,\theta\right)[/math] are plotted. [/color]
This app illustrates how to plot points written in POLAR FORM (r, θ). Interact with this app for a few minutes. Then answer the questions on the paper you received in class.
Plotting Points in 3D: Dynamic Illustrator
[size=150]Location in space is represented using an ordered triple: [math]\left(x,y,z\right)[/math]. [br]This app illustrates how we plot various points in 3-space. [/size]