Difference between revisions of "A Trapezium and its properties"

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= Concept Map =
 
 
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<mm>[[trapezium.mm|flash]]</mm>
 
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= Textbook =
 
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=Additional Information=
 
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==Useful websites==
 
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==Reference Books==
 
  
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= Teaching Outlines =
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=== Learning objectives ===
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==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===
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===Activity No # ===
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===Activity No # 1. Properties of a trapezium. ===
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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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*Question Corner
 
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===Activity No # ===
 
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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 # Find area of trapezium with given clues.===
 
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# A small circle is placed inside a square just touching the sides. The square is on top of a big circle with its vertices on the circle. Finally the big circle is on top of a trapezium which has its sides just touching the circle. Using the measurements and clue given, find the area of the trapezium.
 
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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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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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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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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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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 # ===
 
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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*Estimated Time
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*Estimated Time :40 minutes.
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*Materials/ Resources needed
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*Materials/ Resources needed:
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Laptop, geogebra file, projector and a pointer.
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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*Multimedia resources
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# Knowledge about parallel lines, angles and diagnols.
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*Website interactives/ links/ / Geogebra Applets
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*Multimedia resources: Laptop.
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*Process/ Developmental Questions
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*Website interactives/ links/ / Geogebra Applets: This file has been taken from www.geogebratube.org
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*Evaluation
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<span> </span>
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*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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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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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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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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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'''
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<span></span><div id="ggbContainer597bb1446b162898fe083f13cfdcd040"></div><span></span>
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*Process:
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# Show the geogebra file and explain its properties by asking the questions listed below.
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*Developmental Questions:
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# What is a trapezium ?
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# How many sides does it have ?
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# What can be said about the pair of sides ?
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# Identify the diagnols. Are they equal ?
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# What would be the sum of 4 angles of the trapezium ? Why so ?
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# What would be the sum of its two allied angles ?
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# Are the two pairs of sides of a trapezium equal ?
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*Evaluation:
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Are the students able to apply the theorems of parallel lines - transversal to prove the properties.
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# Why are allied angles of the trapezium supplementary ?
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# Are the diagnols equal ?
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# Is trapezium a parallelogram ?
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*Question Corner:
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# List the properties of a trapezium.
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# What properties of other quadrilaterals does it share. Compare with other quadrilaterals.
  
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[[Category:Quadrilaterals]]

Latest revision as of 07:28, 29 October 2019


Learning objectives

  1. A quadrangle with only two opposite sides parallel is called a trapezium, or trapezoid.
  2. The parallel sides are called the bases of the trapezium and the other two sides are called the legs or the lateral sides.
  3. If the legs are equal in length, then this is an isosceles trapezium.
  4. The distance between the bases is called height of trapezium.

Notes for teachers

Activity No # 1. Properties of a trapezium.

  • Estimated Time :40 minutes.
  • Materials/ Resources needed:

Laptop, geogebra file, projector and a pointer.

  • Prerequisites/Instructions, if any
  1. Knowledge about parallel lines, angles and diagnols.
  • Multimedia resources: Laptop.
  • Website interactives/ links/ / Geogebra Applets: This file has been taken from www.geogebratube.org

  • Process:
  1. Show the geogebra file and explain its properties by asking the questions listed below.
  • Developmental Questions:
  1. What is a trapezium ?
  2. How many sides does it have ?
  3. What can be said about the pair of sides ?
  4. Identify the diagnols. Are they equal ?
  5. What would be the sum of 4 angles of the trapezium ? Why so ?
  6. What would be the sum of its two allied angles ?
  7. 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.

  1. Why are allied angles of the trapezium supplementary ?
  2. Are the diagnols equal ?
  3. Is trapezium a parallelogram ?
  • Question Corner:
  1. List the properties of a trapezium.
  2. What properties of other quadrilaterals does it share. Compare with other quadrilaterals.
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=A_Trapezium_and_its_properties&oldid=32053"