Difference between revisions of "A Kite and its properties"

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=   A Kite and its properties =
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= Concept Map =
 
<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==
 
# http://www.transum.org/software/Fun_Maths/kite. This website has good description and activities about kites.
 
==Reference Books==
 
 
 
= Teaching Outlines =
 
 
 
==Concept # 1. A Kite and its properties==
 
 
===Learning objectives===
 
===Learning objectives===
 
# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
 
# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
# Kites have two pairs of congruent sides that meet at two different points.
+
# The two pairs of congruent sides meet at two different points.
 
# A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
 
# A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
# Kites have a couple of properties that will help us identify them from other quadrilaterals.
+
# 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.<br>
 
* The diagonals of a kite meet at a right angle.<br>
*Kites have exactly one pair of opposite angles that are congruent.<br>
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* Kites have exactly one pair of opposite angles that are congruent.<br>
Notice that a right angle is formed at the intersection of the diagonals, which is at point N. Also, we see that <K = <M. This is our only pair of congruent angles because <J and <L have different measures.
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* Diagnols intersect at right angles.
 +
<K = <M. This is the only pair of congruent angles because <J and <L have different measures.
  
 
[[File:kite.jpeg|300px]]
 
[[File:kite.jpeg|300px]]
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===Notes for teachers===
 
===Notes for teachers===
 +
Source : http://www.ask.com/question/what-is-a-kite-in-geometry<br>
 +
Summary :
 
# A kite is sometimes also known as a deltoid.
 
# A kite is sometimes also known as a deltoid.
 
# 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".
 
# 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 # ===
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 +
===Activity No # 1. Paper kite===
 
{| 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
+
*Estimated Time: 30 minutes.
*Materials/ Resources needed
+
*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
 
This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/
 
This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/
 
*Process:
 
*Process:
# Fold an A4 sheet of paper as shown in the figures.
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# Fold an A4 sheet of paper as shown in the figures to make a kite.
  
 
[[File:kite 1.jpeg|200px]] [[File:kite 2.jpeg|200px]] [[File:kite 3.jpeg|200px]] [[File:kite 4.jpeg|200px]]
 
[[File:kite 1.jpeg|200px]] [[File:kite 2.jpeg|200px]] [[File:kite 3.jpeg|200px]] [[File:kite 4.jpeg|200px]]
  
  
*Developmental Questions
+
*Developmental Questions:
*Evaluation
+
# Which is the figure formed ?
 +
# What is special about this quadrilateral ?
 +
# How many sides does a kite have ?
 +
# Are all sides equal ?
 +
# Mark the diagnols ? What do you notice about them ?
 +
*Evaluation:
 +
# Were the students able dto recognise the properties of a kite.
 
*Question Corner
 
*Question Corner
 +
# Compare kite with other quadrilaterals and make a list of similarities and differences between them.
  
===Activity No # ===
+
[[Category:Quadrilaterals]]
{| 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 #2. Measurements in a kite==
 
===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 # 3. Construction of a kite==
 
===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 #==
 
===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
 
 
 
= Hints for difficult problems =
 
 
 
= 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.