|
|
| (9 intermediate revisions by one other user not shown) |
| Line 1: |
Line 1: |
| | __FORCETOC__ | | __FORCETOC__ |
| | =Activity - Name of Activity= | | =Activity - Name of Activity= |
| − | =='''Parallel lines have the same slope and slope of perpendicular lines are the negative reciprocals of each other'''==
| + | '''Parallel lines have the same slope and slope of perpendicular lines are the negative reciprocals of each other''' |
| | | | |
| | ==Estimated Time== | | ==Estimated Time== |
| − | | + | 1 Hour |
| | ==Materials/ Resources needed== | | ==Materials/ Resources needed== |
| | + | Geogebra applet |
| | ==Prerequisites/Instructions, if any== | | ==Prerequisites/Instructions, if any== |
| | + | #Students should know that every line is a representation of an equation /relation between variables |
| | + | #Graphing an equation/producing equation by visualising graph |
| | + | #Students should know what is Slope? |
| | + | #Similarity of two triangles |
| | ==Multimedia resources== | | ==Multimedia resources== |
| | ==Website interactives/ links/ simulations/ Geogebra Applets== | | ==Website interactives/ links/ simulations/ Geogebra Applets== |
| | ==Process (How to do the activity)== | | ==Process (How to do the activity)== |
| | + | Play with the following Geogebra applet <br> |
| | + | |
| | + | [[http://tube.geogebra.org/material/show/id/143280 From this geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other]] |
| | + | |
| | ==Developmental Questions (What discussion questions)== | | ==Developmental Questions (What discussion questions)== |
| | + | #Move the Blue points observe the changes |
| | + | #record the Slopes of two lines |
| | + | #Compare the values |
| | ==Evaluation (Questions for assessment of the child)== | | ==Evaluation (Questions for assessment of the child)== |
| | + | Can we prove that the given triangle is Right angled triangle?<br> |
| | + | [[Image:evaluation .png|400px]] |
| | + | |
| | ==Question Corner== | | ==Question Corner== |
| | ==Activity Keywords== | | ==Activity Keywords== |
| | | | |
| − | '''To link back to the concept page'''
| + | |
| − | [[Topic Page Link]] | + | [[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]] |
| − | Play with the following Geogebra applet <br>
| + | |
| − | From the following geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other
| + | [[Category:Co-ordinate Geometry]] |
| − | Slopes of Parallel and Perpendicular lines<br>
| |
| − | <ggb_applet width="1366" height="558" version="4.2" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
| |
