Line 1: |
Line 1: |
− | <!-- This portal was created using subst:box portal skeleton -->
| + | = A Kite and its properties = |
− | <!-- BANNER ACROSS TOP OF PAGE -->
| |
− | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
| |
− | |-
| |
− | |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:_History The Story of 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/Mathematics:_Philosophy Philosophy of 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/Mathematics:_Pedagogy Teaching of 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/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 =
| |
− | <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> | + | * 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.
| + | * 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]] |
Line 48: |
Line 15: |
| | | |
| ===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 # ===
| |
− | {| 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 #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==
| + | ===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. |
| | | |
− | = Hints for difficult problems =
| + | [[Category:Quadrilaterals]] |
− | | |
− | = Project Ideas =
| |
− | | |
− | = Math Fun =
| |
− | | |
− | '''Usage'''
| |
− | | |
− | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
| |