Lesson 23

Getting Started (Introduction to 3D Graphing, continued)

We will begin with a very quick introduction to plotting points in space. If you are familiar with plotting points in the Cartesian plane, plotting in space is just a few more steps!

Part I

In this part, you will learn how to graph a flat plane in space! Lines (linear equations) in 2D can be written as y=ax+b; planes in space can be written in the form z=ax+by+c. Before beginning, make sure that you are in radian angle mode (the status bar will show Rad). If you are not in Rad mode, click Deg or Grad until you see Rad!

1. Graphing Planes in Space

2. Graphing Parabolic Shapes

3. Graphing Parabolic Shapes

Part I


Practice Exercises

Before beginning the practice exercises, open a word document, type in the following information and then save it as Lesson23 in your CASIO folder within My Documents:

  • Date: (enter today's date)
  • To: (put your instructor's name here)
  • From: (put your name here)
  • Re: Lesson 23
  1. Please begin by opening the 3D-Graph application and clearing the editor, if needed.
  2. Graph the plane: z=-2x+3y-1. Re-initialize the View Window settings.
  3. With your graph and equation showing, get a screen capture. Paste it into your Lesson23 document (under a title of PART I).
  4. Graph the curve: z=x^2-y^2.
  5. Select Zoom/View-x.
  6. With the x-view showing, get a screen capture. Add two blank spaces following the first screen capture and then paste this one.
  7. Select Zoom/View-z. Notice that this looks flat because we are looking straight down on the graph.
  8. With the z-view showing, get a screen capture. Add two blank spaces following the last screen capture and then paste this one.
  9. Select Zoom/View-y. Interesting.
  10. Select Zoom/View-Init to return to the original view.