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]
|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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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
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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'''].
  
= Concept Map =
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'''Concept Map '''
 
__FORCETOC__
 
__FORCETOC__
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[[File:conic_sections.mm|flash]]
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= Textbook =
 
= Textbook =
 
To add textbook links, please follow these instructions to:  
 
To add textbook links, please follow these instructions to:  
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= Teaching Outlines =
 
= Teaching Outlines =
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This page describes the various two dimensional conic sections that can be obtained.[http://en.wikipedia.org/wiki/Conic_section]
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==Concept #1 Conic sections==
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===Learning objectives===
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# Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
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# There are different ways to do this, and each way yields a different figure.
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# 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.
  
==Concept #==
 
===Learning objectives===
 
 
===Notes for teachers===
 
===Notes for teachers===
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# 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 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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===Activity No # ===
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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*Estimated Time: 40 minutes
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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==Concept #==
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==Concept #2 Hyperbola==
 
===Learning objectives===
 
===Learning objectives===
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#Introduction to the form of a hyperbola
 
===Notes for teachers===
 
===Notes for teachers===
 
===Activity No # ===
 
===Activity No # ===
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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|}
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*Estimated Time
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*Materials/ Resources needed
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*Prerequisites/Instructions, if any
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*Multimedia resources
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*Website interactives/ links/ / Geogebra Applets
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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==Concept #3. PARABOLA==
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===Learning objectives===
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===Notes for teachers===
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===Activity No # ===
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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==Concept #4 ELLIPSE==
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===Learning objectives===
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#Introduction to the form of a hyperbola
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===Notes for teachers===
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*Activity No #
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*Click to Comment
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*Estimated Time
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*Question Corner
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= Hints for difficult problems =
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[[Category:Circles]]

Latest revision as of 06:09, 21 January 2020

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

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Topics in School 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

  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.

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Concept #2 Hyperbola

Learning objectives

  1. Introduction to the form of a hyperbola

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Concept #3. PARABOLA

Learning objectives

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Concept #4 ELLIPSE

Learning objectives

  1. Introduction to the form of a hyperbola

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