-
Constructing Conic Sections
-
1. Introduction
- Introduction
- Visualizing the conic sections
-
2. Constructions
- Constructing a circle
- The Locus
- Constructing a Parabola
- Constructing an Ellipse
- Constructing a Hyperbola
-
3. Wrap up
- Cool Extensions
- Special Thanks!
This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?
This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?
This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?
Constructing Conic Sections
Tabitha McAfee, Mar 9, 2017
Exploring the construction of conic sections. By Tabitha and Joe B
Table of Contents
- Introduction
- Introduction
- Visualizing the conic sections
- Constructions
- Constructing a circle
- The Locus
- Constructing a Parabola
- Constructing an Ellipse
- Constructing a Hyperbola
- Wrap up
- Cool Extensions
- Special Thanks!
Introduction
Here we will talk about how COOL conic sections are outline what the project will look at:
-> 3-D representation of conic sections
-> Constructing a circle
-> Constructing a parabola
-> Constructing an ellipse
-> Constructing a hyperbola
-> Cool apps we stole from other people
When is the last time you thought about/worked with conic sections?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Have you taught conic sections before? To what class or grade level?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Are you ready for some super cool constructions?
Constructing a circle
Step 1: Place a point A anywhere on the graph
Step 2: Construct a line segment with given length
Step 3: Turn on trace function for point B
What do you see when you move around point B?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
After this completing this construction, how would you define a circle?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Cool Extensions
Analytic Geometric Representations
Below are interactive analytic representations of the conic sections created by Jennifer Silverman. As you move sliders, you can see the equations change.
Saving…
All changes saved
Error
A timeout occurred. Trying to re-save …
Sorry, but the server is not responding. Please wait a few minutes and then try to save again.