Difference between revisions of "A Kite and its properties"

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=  A Kite and its properties =
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===Learning objectives===
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# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
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# The two pairs of congruent sides meet at two different points.
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# A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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# Kites have a couple of properties that will help us identify them from other quadrilaterals.
|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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* The diagonals of a kite meet at a right angle.<br>
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* Kites have exactly one pair of opposite angles that are congruent.<br>
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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* Diagnols intersect at right angles.
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<K = <M. This is the only pair of congruent angles because <J and <L have different measures.
[http://www.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://www.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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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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[[File:kite.jpeg|300px]]
<mm>[[kite.mm|Flash]]</mm>
 
  
= Textbook =
 
To add textbook links, please follow these instructions to:
 
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
  
=Additional Information=
 
==Useful websites==
 
==Reference Books==
 
  
= Teaching Outlines =
 
 
==Concept #Definition of Kite==
 
===Learning objectives===
 
 
===Notes for teachers===
 
===Notes for teachers===
===Activity No # ===
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Source : http://www.ask.com/question/what-is-a-kite-in-geometry<br>
{| style="height:10px; float:right; align:center;"
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Summary :
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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# A kite is sometimes also known as a deltoid.
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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# A kite, may be either convex or concave, but the word "kite" is often restricted to the convex variety. A concave kite is sometimes called a "dart" or "arrowhead".
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
==Concept #Properties==
 
===Learning objectives===
 
===Notes for teachers===
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
==Concept #Area==
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===Activity No # 1. Paper kite===
===Learning objectives===
 
===Notes for teachers===
 
===Activity No # ===
 
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[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>
 
|}
 
|}
*Estimated Time
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*Estimated Time: 30 minutes.
*Materials/ Resources needed
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*Materials/ Resources needed :
 +
#A4 sheet of paper.
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
 +
# Neat paper folding skills.
 +
# Ability to follow instructions.
 
*Multimedia resources
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
*Process/ Developmental Questions
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This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/
*Evaluation
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*Process:
*Question Corner
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# Fold an A4 sheet of paper as shown in the figures to make a kite.
  
===Activity No # ===
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[[File:kite 1.jpeg|200px]] [[File:kite 2.jpeg|200px]] [[File:kite 3.jpeg|200px]] [[File:kite 4.jpeg|200px]]
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
==Concept #Construction==
 
===Learning objectives===
 
===Notes for teachers===
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
===Activity No # ===
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*Developmental Questions:
{| style="height:10px; float:right; align:center;"
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# Which is the figure formed ?
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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# What is special about this quadrilateral ?
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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# How many sides does a kite have ?
|}
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# Are all sides equal ?
*Estimated Time
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# Mark the diagnols ? What do you notice about them ?
*Materials/ Resources needed
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*Evaluation:
*Prerequisites/Instructions, if any
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# Were the students able dto recognise the properties of a kite.
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
 
*Question Corner
 
*Question Corner
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# Compare kite with other quadrilaterals and make a list of similarities and differences between them.
  
= Hints for difficult problems =
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[[Category:Quadrilaterals]]
 
 
= Project Ideas =
 
 
 
= Math Fun =
 
 
 
'''Usage'''
 
 
 
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 

Latest revision as of 08:25, 5 August 2020

A Kite and its properties

Learning objectives

  1. A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
  2. The two pairs of congruent sides meet at two different points.
  3. A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
  4. Kites have a couple of properties that will help us identify them from other quadrilaterals.
  • The diagonals of a kite meet at a right angle.
  • Kites have exactly one pair of opposite angles that are congruent.
  • Diagnols intersect at right angles.

<K = <M. This is the only pair of congruent angles because <J and <L have different measures.

Kite.jpeg


Notes for teachers

Source : http://www.ask.com/question/what-is-a-kite-in-geometry
Summary :

  1. A kite is sometimes also known as a deltoid.
  2. A kite, may be either convex or concave, but the word "kite" is often restricted to the convex variety. A concave kite is sometimes called a "dart" or "arrowhead".

Activity No # 1. Paper kite

  • Estimated Time: 30 minutes.
  • Materials/ Resources needed :
  1. A4 sheet of paper.
  • Prerequisites/Instructions, if any
  1. Neat paper folding skills.
  2. Ability to follow instructions.
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets

This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/

  • Process:
  1. Fold an A4 sheet of paper as shown in the figures to make a kite.

Kite 1.jpeg Kite 2.jpeg Kite 3.jpeg Kite 4.jpeg


  • Developmental Questions:
  1. Which is the figure formed ?
  2. What is special about this quadrilateral ?
  3. How many sides does a kite have ?
  4. Are all sides equal ?
  5. Mark the diagnols ? What do you notice about them ?
  • Evaluation:
  1. Were the students able dto recognise the properties of a kite.
  • Question Corner
  1. Compare kite with other quadrilaterals and make a list of similarities and differences between them.