Difference between revisions of "A Kite and its properties"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 50: Line 50:
 
# 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 # ===
+
===Activity No # 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>
 
''[http://www.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.
+
# 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 # ===
 
===Activity No # ===

Revision as of 01:01, 18 December 2013

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Error: Mind Map file kite.mm not found


Textbook

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

Additional Information

Useful websites

  1. 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

  1. A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
  2. Kites have two pairs of congruent sides that 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.

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.

Kite.jpeg


Notes for teachers

  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 # 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.

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. Measurements in a kite

Learning objectives

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

Concept # 3. Construction of a kite

Learning objectives

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

Concept #

Learning objectives

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

Hints for difficult problems

Project Ideas

Math Fun

Usage

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