1,040
edits
Changes
From Karnataka Open Educational Resources
→Activity No # 2. Angle sum property of a triangle
* Materials/ Resources needed:Laptop, projector, geogebra file and a pointer.
* Materials/ Resources needed:Laptop, projector, geogebra file and a pointer.
* Prerequisites/Instructions, if any:
* Prerequisites/Instructions, if any:
# The students should know a triangle and its elements.
# Basics of triangles should have been covered.
# They should have prior knowledge about angles formed when a transversal cuts a pair of parallel lines and the relationship between them.
# Angles formed when a transversal cuts a pair of parallel lines and the relationship between them should have been taught.
* Multimedia resources:Laptop
* Multimedia resources:Laptop
* Website interactives/ links/ Geogebra Applets: Geogebra file 1.
* Website interactives/ links/ Geogebra Applets: Geogebra file 1.(This geogebra file has been created by ITfC-Edu-Team)
<ggb_applet width="1000" height="600" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<ggb_applet width="1000" height="600" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<ggb_applet width="1280" height="600" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<ggb_applet width="1280" height="600" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
* Process (How to do the activity):
* Process (How to do the activity):
Show the geogebra file and ask the questions listed below.
* Developmental Questions (What discussion questions):
* Developmental Questions (What discussion questions):
# Identify the geometric figures you see in the geogebra file.
# Identify the geometric figures you see in the geogebra file.
