A Kite and its properties
| Philosophy of Mathematics |
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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
- 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.
- 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.
- 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.
Notes for teachers
- 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".
Activity No # Paper kite
- Estimated Time: 30 minutes.
- Materials/ Resources needed :
- A4 sheet of paper.
- Prerequisites/Instructions, if any
- Neat paper folding skills.
- 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:
- Fold an A4 sheet of paper as shown in the figures to make a kite.
- Developmental Questions:
- 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
- Compare kite with other quadrilaterals and make a list of similarities and differences between them.
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Concept #2. Measurements in a kite
Learning objectives
Notes for teachers
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Concept # 3. Construction of a kite
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Concept #
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Activity No #
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