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://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'''].
 
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'''Concept Map '''
 
'''Concept Map '''
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<mm>[[CONIC SECTIONS.mm|Flash]]</mm>
 
 
__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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*Estimated Time
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*Estimated Time: 40 minutes
 
*Materials/ Resources needed
 
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*Prerequisites/Instructions, if any
 
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==Concept #4 ELLIPSE==
 
==Concept #4 ELLIPSE==
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*Learning objectives
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===Learning objectives===
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*Notes for teachers
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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 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

To add textbook links, please follow these instructions to: (Click to create the subpage)

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
  • 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

  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
  • 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

  1. 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

Hints for difficult problems

Project Ideas

Math Fun

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Create a new page and type {{subst:Math-Content}} to use this template

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