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| − | <!-- This portal was created using subst:box portal skeleton -->
| + | = A Kite and its properties = |
| − | <!-- BANNER ACROSS TOP OF PAGE -->
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| − | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
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| − | |style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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| − | |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]
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| − | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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| − | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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| − | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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| − | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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| − | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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| − | |}
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| − | While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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| − | | |
| − | = Concept Map =
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| − | <mm>[[kite.mm|flash]]</mm>
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| − | | |
| − | = Textbook =
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| − | To add textbook links, please follow these instructions to:
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| − | ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
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| − | | |
| − | =Additional Information=
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| − | ==Useful websites==
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| − | # http://www.transum.org/software/Fun_Maths/kite. This website has good description and activities about kites.
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| − | ==Reference Books==
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| − | | |
| − | = Teaching Outlines =
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| − | | |
| − | ==Concept # 1. A Kite and its properties==
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| | ===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. |
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| | ===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 # 1. Paper kite=== | | ===Activity No # 1. 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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| | |} | | |} |
| | *Estimated Time: 30 minutes. | | *Estimated Time: 30 minutes. |
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| | # Compare kite with other quadrilaterals and make a list of similarities and differences between them. | | # Compare kite with other quadrilaterals and make a list of similarities and differences between them. |
| | | | |
| − | ===Activity No # ===
| + | [[Category:Quadrilaterals]] |
| − | {| style="height:10px; float:right; align:center;"
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| − | |<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;">
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | *Estimated Time
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| − | *Materials/ Resources needed
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| − | *Prerequisites/Instructions, if any
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| − | *Multimedia resources
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| − | *Website interactives/ links/ / Geogebra Applets
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| − | *Process/ Developmental Questions
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| − | *Evaluation
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| − | *Question Corner
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| − | | |
| − | ==Concept #2. Measurements in a kite==
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| − | ===Learning objectives===
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| − | # A kite has two pairs of congruent sides.
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| − | # Its diagnols intersect at right angles.
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| − | # The sum of its four sides would be its perimetre.
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| − | # Its area is given by the formula <math>1/2 x product of its diagnols </math>
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| − | ===Notes for teachers===
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| − | ===Activity No # 1. Deriving formula for area of a kite===
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| − | {| style="height:10px; float:right; align:center;"
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| − | |<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;">
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | *Estimated Time : 30 minutes.
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| − | *Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
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| − | *Prerequisites/Instructions, if any
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| − | # They should know a kite and its properties.
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| − | # The students should know the concept of an area.
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| − | # They should know the formula to find the area of a triangle.
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| − | *Multimedia resources: Laptop
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| − | *Website interactives/ links/ / Geogebra Applets
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| − | *Process:
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| − | # The teacher can project the geogebra file on kite.
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| − | # Show them that a kite is made of two isosceles traingles.
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| − | # Sum of areas of these two triangles would be the area of the kite.
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| − | *Developmental Questions
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| − | # What is a kite /
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| − | # What are the properties of a kite.
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| − | # What other figures can you see in a kite ?
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| − | # What types of triangles are these ?
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| − | # Identify the two isosceles triangles ?
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| − | # What is the formula to find the area of a triangle ?
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| − | *Evaluation:
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| − | # Choosing which two traingles out of the 8 visible types would be easy to deduce the area of kite ?
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| − | *Question Corner:
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| − | # Recall the two formulae that you know to find the area of a triangle.
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| − | | |
| − | ===Activity No # ===
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| − | {| style="height:10px; float:right; align:center;"
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| − | |<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;">
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
| |
| − | *Estimated Time
| |
| − | *Materials/ Resources needed
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| − | *Prerequisites/Instructions, if any
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| − | *Multimedia resources
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| − | *Website interactives/ links/ / Geogebra Applets
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| − | *Process/ Developmental Questions
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| − | *Evaluation
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| − | *Question Corner
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| − | | |
| − | ==Concept # 3. Construction of a kite==
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| − | ===Learning objectives===
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| − | # Learn steps for constructing a kite with given measures.
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| − | ===Notes for teachers===
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| − | ===Activity No # 1. Construction of a kite. ===
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| − | {| 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 : 20 minutes.
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| − | *Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
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| − | *Prerequisites/Instructions, if any:
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| − | # Students should have prior knowledge about a kite and its properties.
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| − | # They should know a perpendicular line and its construction.
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| − | # They should know to construct a line segment of given length by constructing arcs.
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| − | *Multimedia resources: Laptop
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| − | *Website interactives/ links/ / Geogebra Applets
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| − | <ggb_applet width="800" height="485" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
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| − | *Process:
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| − | # The teacher can initially have a recaptualation of the concept of a kite and its properties.
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| − | # Give them measures say, "Construct a kite which has its congruent sides as 4 cm and 6 cm a pair with one of its diagnols measuring 5cm.
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| − | # Can project the geogebra file and explain the steps of construction for the given measures.
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| − | * Draw a rough small kite labelling with the given measures.
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| − | * Begin with drawing a line segment, the diagnol of a given measure, here 5 cm. label it as AB.
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| − | * Draw a perpendicular bisector to this line segment AB.
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| − | * With A as centre construct an arc with 4cm as radius. Mark the intersecting point of arc with the perpendicular bisector as D. Join AD.
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| − | * With B as centre construct another arc with the same radius 4cm. You get the same point D as point of intersection .
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| − | * Join AD and BD which would measure 4cm each and would become one pair of congruent sides of the kite.
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| − | * Similarly draw arcs on the other side taking radius as 6cm to get other pair of congruent sides.
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| − | * ADBE would be the specified kite.
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| − | | |
| − | *Developmental Questions:
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| − | # What are the properties of a kite ?
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| − | # What measures are given for constructing a kite ?
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| − | # By which given measure can we begin the kite construction ?
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| − | # What is the angle between the two diagnols in a kite ?
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| − | # For what purpose are we drawing the perpendicular bisector ?
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| − | # What is the purpose of drawing an arc ?
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| − | # What should be measure of the radius of the arc ?
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| − | # Why should AD and BD be same ?
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| − | *Evaluation:
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| − | # Check if the constructed kite satisfies all of its properties.
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| − | *Question Corner:
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| − | # Can you think of any other method of kite construction for the given measures ?
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| − | | |
| − | ===Activity No # ===
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| − | {| style="height:10px; float:right; align:center;"
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| − | |<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;">
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
| |
| − | *Estimated Time
| |
| − | *Materials/ Resources needed
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| − | *Prerequisites/Instructions, if any
| |
| − | *Multimedia resources
| |
| − | *Website interactives/ links/ / Geogebra Applets
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| − | *Process/ Developmental Questions
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| − | *Evaluation
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| − | *Question Corner
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| − | | |
| − | = Hints for difficult problems =
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| − | | |
| − | = Project Ideas =
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| − | | |
| − | = Math Fun =
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| − | '''Usage'''
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| − | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
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