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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[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'''].
  
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= Concept Map =
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'''Concept Map '''
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<mm>[[CONIC SECTIONS.mm|Flash]]</mm>
 
 
__FORCETOC__
 
__FORCETOC__
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[[File:conic_sections.mm|flash]]
  
 
= Textbook =
 
= Textbook =
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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.
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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 Circle==
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==Concept #1 Conic sections==
 
===Learning objectives===
 
===Learning objectives===
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# Children develop an appreciation of a circle as a conic section.
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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.
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===Notes for teachers===
 
===Notes for teachers===
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For more details on circles, refer to the page [[Circles]].
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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 # ===
 
===Activity No # ===
 
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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*Estimated Time
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*Estimated Time: 40 minutes
 
*Materials/ Resources needed
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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*Estimated Time
 
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*Estimated Time
 
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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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{| style="height:10px; float:right; align:center;"
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''[http://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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[[Category:Circles]]

Latest revision as of 06:09, 21 January 2020

The Story 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

  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
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Concept #2 Hyperbola

Learning objectives

  1. Introduction to the form of a hyperbola

Notes for teachers

Activity No #

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Activity No #

  • Estimated Time
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  • Multimedia resources
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Concept #3. PARABOLA

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
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Activity No #

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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
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  • Activity No #
  • Click to Comment
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Activity No #

  • Estimated Time
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Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
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