Difference between revisions of "Conic sections"

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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
 
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
  
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'''Concept Map '''
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__FORCETOC__
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[[File:conic_sections.mm|flash]]
  
 
= Textbook =
 
= Textbook =
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# There are different ways to do this, and each way yields a different figure.  
 
# 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.  
 
# These figures can be represented on the graph as well as algebraically.  
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# The four conic sections are circles, ellipses, parabolas, and hyperbolas.  
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# The four conic sections are circles, ellipses, parabolas, and hyperbolas.
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===Notes for teachers===
 
===Notes for teachers===
 
# 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>
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# If<math>B^2-4AC<0</math>then the curve is an ellipse, circle, point or no curve.<br>
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# If <math>B^2-4AC<0</math> then the curve is an ellipse, circle, point or no curve.<br>
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# If<math>B^2-4AC=0</math>then the curve is a parabola,2parallel lines, 1 line or no curve.<br>
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# If <math>B^2-4AC=0</math> then the curve is a parabola,2parallel lines, 1 line or no curve.<br>
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# If<math>B^2-4AC>0</math>then the curve is a hyperbola or 2 intersecting lines.<br>
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# If <math>B^2-4AC>0</math> then the curve is a hyperbola or 2 intersecting lines.<br>
  
 
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[[Category:Circles]]

Latest revision as of 11:39, 21 January 2020

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

[maximize]

Textbook

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Additional Information

Useful websites

Reference Books

Teaching Outlines

This page describes the various two dimensional conic sections that can be obtained.[1]

Concept #1 Conic sections

Learning objectives

  1. Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
  2. There are different ways to do this, and each way yields a different figure.
  3. These figures can be represented on the graph as well as algebraically.
  4. The four conic sections are circles, ellipses, parabolas, and hyperbolas.

Notes for teachers

  1. The general equation for all conics is
  2. If then the curve is an ellipse, circle, point or no curve.
  3. If then the curve is a parabola,2parallel lines, 1 line or no curve.
  4. If then the curve is a hyperbola or 2 intersecting lines.

Activity No #

  • Estimated Time: 40 minutes
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
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  • Process/ Developmental Questions
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Activity No #

  • Estimated Time
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  • Evaluation
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Concept #2 Hyperbola

Learning objectives

  1. 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
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Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
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  • 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
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Activity No #

  • Estimated Time
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Concept #4 ELLIPSE

Learning objectives

  1. Introduction to the form of a hyperbola

Notes for teachers

  • Activity No #
  • Click to Comment
  • Estimated Time
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  • Activity No #
  • Click to Comment
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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

Hints for difficult problems

Project Ideas

Math Fun

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