Difference between revisions of "A Kite and its properties"
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# 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 06:31, 18 December 2013
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.
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
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