Difference between revisions of "Conic sections"
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# The four conic sections are circles, ellipses, parabolas, and hyperbolas. | # The four conic sections are circles, ellipses, parabolas, and hyperbolas. | ||
# The general equation for all conics is <math>Ax^2+Bxy+Cy^2+Dx+Ey+F=0</math> | # The general equation for all conics is <math>Ax^2+Bxy+Cy^2+Dx+Ey+F=0</math> | ||
| − | + | and | |
| − | and | + | If<math>B^2-4AC<0</math> then the curve is an ellipse, circle, point or no curve. |
| − | + | If <math>B^2-4AC=0</math> then the curve is a parabola,2parallel lines, 1 line or no curve. | |
| − | + | If <math>B^2-4AC>0</math> then the curve is a hyperbola or 2 intersecting lines. | |
| − | |||
| − | |||
| − | |||
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===Notes for teachers=== | ===Notes for teachers=== | ||
===Activity No # === | ===Activity No # === | ||
Revision as of 13:17, 4 December 2013
Concept Map
Error: Mind Map file conic_sections.mm not found
| Philosophy of Mathematics |
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This page describes the various two dimensional conic sections that can be obtained.[1]
Concept #1 Conic sections
Learning objectives
- Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
- There are different ways to do this, and each way yields a different figure.
- These figures can be represented on the graph as well as algebraically.
- The four conic sections are circles, ellipses, parabolas, and hyperbolas.
- The general equation for all conics is
and If then the curve is an ellipse, circle, point or no curve. If then the curve is a parabola,2parallel lines, 1 line or no curve. If then the curve is a hyperbola or 2 intersecting lines.
Notes for teachers
Activity No #
- Estimated Time: 40 minutes
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #2 Hyperbola
Learning objectives
- Introduction to the form of a hyperbola
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #3. PARABOLA
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #4 ELLIPSE
Learning objectives
- Introduction to the form of a hyperbola
Notes for teachers
- Activity No #
- Click to Comment
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
- Activity No #
- Click to Comment
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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