Lesson 19

Getting Started (Introduction to Conics, continued)

We will begin this lesson by exploring circles! We will then learn about the ellipse, hyperbola and parabola conic sections.

Part I

In this part, you will learn how to input standard conic forms. As you will see, the standard form is more informative than the general form.

1. Using a Standard Form to Draw a Conic Section

2. Displaying Information about a Conic Section

3. Drawing More Than One Circle

The Conics application will let us draw only one circle, but we can work around this!

Part I


Practice Exercises

Before beginning the practice exercises, open a word document, type in the following information and then save it as Lesson19 in your CASIO folder within My Documents:

  1. Please begin by opening the Conics application and clearing the window, if needed.
  2. Using the standard form of a circle, graph a circle with center (-2,2) and a radius of 1.5. Adjust your window (zoom, pan,…) so that your circle looks good.
  3. Display the circle’s center in the graph window. Hint: Analysis/G-Solve.
  4. With your circle graphed and its center showing, get a screen capture. Paste it into your Lesson19 document (under a title of PART I).
  5. Copy your circle’s equation and then open eActivity.
  6. Clear the eActivity window and then insert a Conics Graph window.
  7. Paste your circle below the Conics Graph strip.
  8. Drag and drop it into the Conics Graph window.
  9. Modify the circle’s equation so that it draws the reflection of the original circle about the x-axis. Hint: You may need to clear the graph window and re-paste the equation a few times.
  10. With our circle and its reflection showing, get a screen capture. Add two blank spaces following the first screen capture and then paste this one.
  11. Ok, one more change. Change the + sign that is connecting the two squared terms to a – sign [(x-H)^2+(y-K)^2 to (x-H)^2-(y-K)^2].
  12. Drag and drop your changed equation into the Conics Graph window.
  13. With the interesting graph showing, get a screen capture. Add two blank spaces following the last screen capture and then paste this one.