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Line 336:
Line 336: − + − + − + − + + + + − <ggb_applet width="1280" height="572" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />+ − + − *Evaluation+ − *Question Corner+ − + − ===Activity No # 3.The angle subtended by a chord at the centre is twice the angle subtended by the same chord at the circumference. ===+ − {| 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 # 4.Equal chords subtend equal angles at the centre. === − {| 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 − <ggb_applet width="1278" height="571" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> − *Process/ Developmental Questions − *Evaluation − *Question Corner − − ===Activity No # 5. Angles in the same segment are equal.=== − {| 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 − <ggb_applet width="1000" height="400" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> − − ===Activity No # 6.Angles in minor segment are obtuse whereas angles in major segment are acute angles=== − {| 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 − <ggb_applet width="1280" height="572" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> − *Process/ Developmental Questions − − *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 − −
no edit summary
# What are the applications of this theorem.
# What are the applications of this theorem.
===Activity No # 2. Angle in a semicircle is a right angle.===
===Activity No # 2. Angles in a circle.===
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
*Estimated Time
*Estimated Time: 40 minutes
*Materials/ Resources needed
*Materials/ Resources needed:Laptop, projector, geogebra file and a pointer.
*Prerequisites/Instructions, if any
*Prerequisites/Instructions, if any
*Multimedia resources
#The students should have prior knowledge of a circle, angles, arcs and segments.
#The students should have a thorough knowledge about the types of angles.
#They should have the skill of drawing a circle , angles and measuring them.
*Multimedia resources : Laptop, Projector.
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*Process:
*Process/ Developmental Questions
# The teacher can recall the concept of circle, arc segment.
# She can then project the geogebra file , change slider and make clear the theorems about angles in a circle.
Developmental Questions:
# Name the minor and major segments.
# Name the angles formed by them.
# Where are the two angles subtended ?
# What is the relation between the two angles.
# Name the major and minor arcs.
# What is an acute angle?
# What is an obtuse angle?
# What type of angles are formed by minor arc ?
# What type of angles are formed by major arc ?
# What are your conclusions ?
*Evaluation:
# How many angles can a segment subtend on the circumference ?
# What can you say about these angles ?
*Question Corner:
# Recall the theorems related to angles in a circle.
*Evaluation
*Question Corner
==Concept # 4. Finding the Circumference of a circle==
==Concept # 4. Finding the Circumference of a circle==
===Learning objectives===
===Learning objectives===