Changes

Jump to navigation Jump to search

A Kite and its properties (view source)

Revision as of 08:25, 5 August 2020

2,601 bytes removed ,  08:25, 5 August 2020
m
added Category:Quadrilaterals using HotCat
Line 1: Line 1: −
<!-- This portal was created using subst:box portal skeleton  -->
+
=  A Kite and its properties =
−
<!--        BANNER ACROSS TOP OF PAGE        -->
+
===Learning objectives===
−
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
+
# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
−
|-
+
# The two pairs of congruent sides meet at two different points.
−
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
# 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]
+
# 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]
+
* The diagonals of a kite meet at a right angle.<br>
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
* 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]
+
* Diagnols intersect at right angles.
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
<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]
  −
|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:_Topics Topics in School 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/Text_Books#Mathematics_-_Textbooks Textbooks]
  −
|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/Maths:_Question_Papers Question Bank]
  −
|}
  −
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 =
+
[[File:kite.jpeg|300px]]
−
__FORCETOC__
  −
<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 =
+
===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, 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".
   −
==Concept #==
+
===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>
+
''[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
−
*Process/ Developmental Questions
+
This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/
−
*Evaluation
+
*Process:
−
*Question Corner
+
# Fold an A4 sheet of paper as shown in the figures to make a kite.
   −
===Activity No # ===
+
[[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 #==
  −
===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 # ===
+
*Developmental Questions:
−
{| style="height:10px; float:right; align:center;"
+
# 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;">
+
# What is special about this quadrilateral ?
−
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+
# How many sides does a kite have ?
−
|}
+
# Are all sides equal ?
−
*Estimated Time
+
# Mark the diagnols ? What do you notice about them ?
−
*Materials/ Resources needed
+
*Evaluation:
−
*Prerequisites/Instructions, if any
+
# 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
 +
# Compare kite with other quadrilaterals and make a list of similarities and differences between them.
   −
 
+
[[Category:Quadrilaterals]]
−
 
  −
= Hints for difficult problems =
  −
 
  −
= Project Ideas =
  −
 
  −
= Math Fun =
  −
 
  −
'''Usage'''
  −
 
  −
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php/Special:MobileDiff/5304...34380"

Navigation menu