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From Karnataka Open Educational Resources
1,128 bytes removed ,  05:09, 2 January 2014
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*Materials/ Resources needed : Laptop, geogebra file, projector and a pointer.
 
*Materials/ Resources needed : Laptop, geogebra file, projector and a pointer.
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
# The students should have prior knowledge of a circle and circumference.
+
# Circles and its parts should have been done.
# They should know that an arc is a curved line along the circumference of a circle.
  −
# If the end points of an arc are joined to a third point on the circumference of a circle, then an angle on the circumference is formed.
  −
# If the end points of an arc are joined to the centre of a circle, then an angle at the centre of the circle is formed.
  −
# They should know to measure the angles.
   
*Multimedia resources: Laptop and a projector.
 
*Multimedia resources: Laptop and a projector.
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
 
<ggb_applet width="1280" height="600" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
 
*Process:
 
*Process:
# The teacher should initially discuss about the circle , radius, centre and circumference.
+
# Project the geogebra file and ask the questions listed below.
# Projecting geogebra file she can show the major and the minor arcs.
  −
# Name the arc in discussion.
  −
# Let students find out and name the angle subtended by the arc at the centre and angle subtended by the same arc on the circumference.
  −
# Observe that the end points of the arc lie on the angle.
  −
# Each side of the angle contains at least one end -point of the arc.
  −
# Project different angles subtended by the same arc on the circumference. What is the inference ?
  −
# Compare angle formed at the centre and angle formed on the circumference by the  same arc.
  −
# Change the angles/arc using slider. Note down the two angles in each case.
  −
# Ask students what they observed ? Let them infer.
   
*Developmental Questions:
 
*Developmental Questions:
 
# Name the centre of the circle?
 
# Name the centre of the circle?
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