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− | = Concept Map =
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| __FORCETOC__ | | __FORCETOC__ |
− | <mm>[[trapezium.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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− |
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− | =Additional Information=
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− | ==Useful websites==
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− | ==Reference Books==
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− | = Teaching Outlines =
| + | === Learning objectives === |
− | | |
− | ==Concept # A Trapezium and its properties==
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− | ===Learning objectives=== | |
| # A quadrangle with only two opposite sides parallel is called a trapezium, or trapezoid. | | # A quadrangle with only two opposite sides parallel is called a trapezium, or trapezoid. |
| # The parallel sides are called the bases of the trapezium and the other two sides are called the legs or the lateral sides. | | # The parallel sides are called the bases of the trapezium and the other two sides are called the legs or the lateral sides. |
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| # The distance between the bases is called height of trapezium. | | # The distance between the bases is called height of trapezium. |
| ===Notes for teachers=== | | ===Notes for teachers=== |
− | ===Activity No # === | + | ===Activity No # 1. Properties of a trapezium. === |
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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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− | | |
− | ===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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− | |}
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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 Trapezium ==
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− | ===Learning objectives===
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− | # The trapeium contains two parallel sides and two non-parallel sides.
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− | # The area of trapezium is found by viewing it as a parallelogram.
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− | # The area of trapezium is 1/2(a+b)h where a and b are its parallel sides and h is the perpendicular distance between them.
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− | # The perimeter of a trapezium is obtained by sum of its 4 sides.
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− | ===Notes for teachers===
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− | # The area of most figures can be expressed in terms of its dimensions.
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− | # The area of most composite figures can be calculated using the area of primary figures.
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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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− | |}
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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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− | | |
− | ===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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− | |}
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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 # 3.Construction of Trapezium==
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− | ===Learning objectives===
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− | ===Notes for teachers===
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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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− | |}
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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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− | | |
− | ===Activity No # ===
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| {| 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 :40 minutes. |
− | *Materials/ Resources needed | + | *Materials/ Resources needed: |
| + | Laptop, geogebra file, projector and a pointer. |
| *Prerequisites/Instructions, if any | | *Prerequisites/Instructions, if any |
− | *Multimedia resources | + | # Knowledge about parallel lines, angles and diagnols. |
− | *Website interactives/ links/ / Geogebra Applets | + | *Multimedia resources: Laptop. |
− | *Process/ Developmental Questions
| + | *Website interactives/ links/ / Geogebra Applets: This file has been taken from www.geogebratube.org |
− | *Evaluation
| + | <span> </span> |
− | *Question Corner
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− | | |
− | ==Concept # 4. Isosceles trapezium==
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− | ===Learning objectives===
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− | ===Notes for teachers===
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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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− | |}
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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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− | | |
− | ===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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− | |}
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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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− | | |
− | = Hints for difficult problems =
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− | | |
− | = Project Ideas =
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− | | |
− | = Math Fun =
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| | | |
− | '''Usage'''
| + | <span></span><div id="ggbContainer597bb1446b162898fe083f13cfdcd040"></div><span></span> |
| + | *Process: |
| + | # Show the geogebra file and explain its properties by asking the questions listed below. |
| + | *Developmental Questions: |
| + | # What is a trapezium ? |
| + | # How many sides does it have ? |
| + | # What can be said about the pair of sides ? |
| + | # Identify the diagnols. Are they equal ? |
| + | # What would be the sum of 4 angles of the trapezium ? Why so ? |
| + | # What would be the sum of its two allied angles ? |
| + | # Are the two pairs of sides of a trapezium equal ? |
| + | *Evaluation: |
| + | Are the students able to apply the theorems of parallel lines - transversal to prove the properties. |
| + | # Why are allied angles of the trapezium supplementary ? |
| + | # Are the diagnols equal ? |
| + | # Is trapezium a parallelogram ? |
| + | *Question Corner: |
| + | # List the properties of a trapezium. |
| + | # What properties of other quadrilaterals does it share. Compare with other quadrilaterals. |
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− | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
| + | [[Category:Quadrilaterals]] |