Difference between revisions of "Geogebra/C3/Mensuration/English-timed"

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|00:09
 
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|* '''Area and perimeter of rhombus'''
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|Area and perimeter of rhombus  
 
   
 
   
 
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|00:12
 
|00:12
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|* '''Surface area of sphere and cone'''
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| Surface area of sphere and cone
  
 
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|00:15
 
|00:15
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|* '''Volume of sphere and cone'''
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| Volume of sphere and cone.
  
 
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|00:24
 
|00:24
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|For Relevant tutorials on Geogebra,
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|For relevant tutorials on Geogebra,
  
 
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|00:46
 
|00:46
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|* '''Segment between two points'''
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|'''Segment between two points'''
  
 
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|00:48
 
|00:48
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|* '''Circle with center and radius'''  
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|'''Circle with center and radius'''  
  
 
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|00:51
 
|00:51
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|* '''Ellipse'''  
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|'''Ellipse''' '''Polygon'''  
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|00:52
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|* '''Polygon'''  
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|00:54
 
|00:54
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|* '''New point and  
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|'''New point and  
  
 
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|00:56
 
|00:56
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|* '''Insert text'''  
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|'''Insert text''' Let's open a new '''Geogebra''' window.
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|-
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|00:57
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|Let's open a new '''Geogebra''' window.
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|-
 
|-
 
|01:00
 
|01:00
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|Click on '''Dash home''' and '''Media Apps'''. Under Type, choose '''Education and Geogebra'''  
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|Click on '''Dash home''' and '''Media Apps'''. Under '''Type''', choose '''Education and Geogebra'''  
  
 
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|-
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|01:36
 
|01:36
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|Click on the '''Insert text''' tool.  
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|Click on the '''Insert Text''' tool.  
  
 
|-
 
|-
 
|01:39
 
|01:39
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|Click on the drawing pad.  
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|Click on the drawing pad. A text box opens.
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A text box opens.
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|'''Area of the rhombus ='''+(1/2 g f)  
 
|'''Area of the rhombus ='''+(1/2 g f)  
  
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Open the double quotes(“), type:
+
Open the double quotes(“), type: Area of the rhombus = close the double quotes '''+'''  
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+
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Area of the rhombus = close the double quotes
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+
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'''+''' for concatenation open the brackets, type:
+
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+
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'''1/2''' space '''f''' space '''g'''
+
  
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close the bracket
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for concatenation open the brackets, type: '''1/2''' space '''f''' space '''g'''
  
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'''f''' and '''g''' are the diagonals of the rhombus.  
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close the bracket '''f''' and '''g''' are the diagonals of the rhombus.  
  
 
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|-
 
|-
 
|02:22
 
|02:22
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|Open the double quotes(“) type:
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|Open the double quotes(“) type: '''Perimeter of the rhombus ='''+(4 a) close double quotes '+' open the brackets
  
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'''Perimeter of the rhombus ='''+(4 a)
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'''4''' space 'a' close the brackets '''a''' is the side of the rhombus.  
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+
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close double quotes '+' open the brackets
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+
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'''4''' space 'a' close the brackets
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'''a''' is the side of the rhombus.  
+
  
 
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|-
 
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|03:17
 
|03:17
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|As an assignment, I would like you  
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|As an assignment, I would like you to find area and perimeter of a trapezium,
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to find area and perimeter of trapezium,
+
  
 
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|-
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|-
 
|-
 
|04:01
 
|04:01
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|Click on the '''Circle with center and radius''' tool from the toolbar.  
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|Click on the '''Circle with Center and Radius''' tool, from the toolbar.  
  
 
|-
 
|-
 
|04:06
 
|04:06
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|Click on the drawing pad point '''A'''.  
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|Click on the drawing pad point '''A'''. A text box opens.
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A text box opens.
+
  
 
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|-
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|-
 
|-
 
|04:34
 
|04:34
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|Let's draw an ellipse '''CDE''' in the horizontal direction,
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|Let's draw an ellipse '''CDE''' in the horizontal direction, to touch the circumference of the circle.  
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to touch the circumference of the circle.  
+
  
 
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|-
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|-
 
|-
 
|04:45
 
|04:45
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|Mark points '''C''' and '''D''' diagonally opposite to each other on the circumference
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|Mark points '''C''' and '''D''' diagonally opposite to each other on the circumference and a third point '''E''' inside the circle.
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and a third point '''E''' inside the circle.
+
  
 
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|-
 
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|05:08
 
|05:08
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|Please find the special characters in the drop down list in the text box.  
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|Please find the special characters in the drop down list in the text box. Scroll down to find π (pi).  
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Scroll down to find π (pi).  
+
  
 
|-
 
|-
 
|05:17
 
|05:17
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|open double quote, type:
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|open double quote, type: '''Surface area of the sphere =''' +( 4 π a2)
  
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'''Surface area of the sphere =''' +( 4 π a2)
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close double quote '''plus''' open the bracket '''4''' space select '''π''' from the list space
  
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close double quote '''plus''' open the bracket '''4''' space
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'''a''' select 'square' from the list close the bracket.  
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+
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select '''π''' from the list space
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'''a''' select 'square' from the list
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+
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close the bracket.  
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|05:47
 
|05:47
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|surface area of the sphere is displayed here.
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|Surface area of the sphere is displayed here.
  
 
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|05:56
 
|05:56
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|Next, let's find Volume.  
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|Next, let's find volume.  
  
 
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|-
 
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|06:00
 
|06:00
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|click on the drawing pad, Text box opens.  
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|Click on the drawing pad, Text box opens.  
  
 
|-
 
|-
 
|06:03
 
|06:03
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|open double quote type:
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|open double quote type: '''Volume of the sphere =''' +(4/3 π a^3)
  
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'''Volume of the sphere =''' +(4/3 π a^3)
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close double quote '''plus''' open the bracket '''4/3''' space select '''π''' from the list space '''a'''
  
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close double quote '''plus''' open the bracket '''4/3''' space
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select '''cube''' from the list, close the bracket.
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select '''π''' from the list space '''a'''
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select '''cube''' from the list close the bracket  
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|06:31
 
|06:31
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|click '''OK'''.
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|Click '''OK'''.
  
 
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|06:45
 
|06:45
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|Click on points '''C''' , '''D''' and an external point '''F'''
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|Click on points '''C''' , '''D''' and an external point '''F''' and '''C''' once again.  
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and '''C''' once again.  
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|06:53
 
|06:53
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|Select '''Segments between two points''' tool
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|Select '''Segments between two points''' tool join points '''F''' and '''A'''.
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join points '''F''' and '''A'''.
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|Right click on object '''b'''.
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|Right click on object '''b'''.Click on '''Rename'''.
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|07:09
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|Click on '''Rename'''.
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|07:11
 
|07:11
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|Replace '''b''' with '''h''' click '''OK'''.  
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|Replace '''b''' with '''h''', click '''OK'''.  
  
 
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|07:15
 
|07:15
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|Let me also
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|Let me also rename the object '''c_1''' as '''s''' which denotes slant height of cone.
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Rename the object '''c_1''' as '''s''' which denotes slant height of cone.
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|07:23
 
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|Click on '''Rename'''.
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|Click on '''Rename'''.Replace '''c_1''' with '''s'''.
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|07:24
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|Replace '''c_1''' with '''s'''.
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|07:33
 
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|We can use either the '''Insert text''' tool from the tool bar or we can use the '''Input''' bar.
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|We can use either the '''Insert text''' tool from the tool bar or we can use the '''Input''' bar. I will use the '''Input bar'''.  
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I will use the '''Input bar'''.  
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|Type in the input bar:
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|Type in the input bar: Area = (π a s + π a²)
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+
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Area = (π a s + π a²)
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Surfacearea = open the bracket
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Surfacearea = open the bracket Select 'π' from the list space '''a''' space '''s''' plus select '''π''' from the list space '''a'''
  
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Select 'π' from the list space '''a''' space '''s'''
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Select '''square''' from list close the bracket press '''Enter'''.  
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plus select '''π''' from the list space '''a'''
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Select '''square''' from list close the bracket
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press '''Enter'''.  
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|Please note when we use the '''Input bar'''
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|Please note when we use the '''Input bar''' answer appears in the Algebra view.  
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answer appears in the Algebra view.  
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|08:29
 
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|Volume =(1/3 π a² h)  
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|Volume =(1/3 π a² h). Volume =open bracket '''1/3''' space select 'π' from the list space '''a'''
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Volume =open bracket
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'''1/3''' space select 'π' from the list space '''a'''
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Select '''square''' from list space '''h''' close the bracket
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Press '''Enter'''.  
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Select '''square''' from list space '''h''' close the bracket Press '''Enter'''.  
  
 
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|08:55
 
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|Lets now save the file. Click on file '''Save As'''.
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|Lets now save the file. Click on '''File''', '''Save As'''. I will type the file name as '''Sphere-cone'''.
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I will type the file name as '''Sphere-cone'''.
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|09:10
 
|09:10
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|With this we come to the end of this tutorial.  
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|With this, we come to the end of this tutorial.  
  
 
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|09:20
 
|09:20
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|* Area and perimeter of rhombus  
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|Area and perimeter of rhombus  
  
 
|-
 
|-
 
|09:24
 
|09:24
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|* Surface Area of sphere and cone  
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| Surface Area of sphere and cone  
  
 
|-
 
|-
 
|09:27
 
|09:27
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|* Volume of sphere and cone.  
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|Volume of sphere and cone.  
  
 
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|10:40
 
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|For more details, please write to
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|For more details, please write to contact@spoken-tutorial.org  
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contact@spoken-tutorial.org  
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|10:59
 
|10:59
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|More information on this Mission is available at this link.
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|More information on this mission is available at this link.
  
 
|-
 
|-
 
|11:06
 
|11:06
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|This is Madhuri Ganapathi from IIT Bombay, signing off.
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|This is Madhuri Ganapathi from IIT Bombay, signing off.Thanks for joining
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+
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Thanks for joining
+

Latest revision as of 15:51, 27 March 2017

Time Narration
00:00 Hello everybody Welcome to this tutorial on Mensuration in Geogebra.
00:06 In this tutorial, we will learn to find:
00:09 Area and perimeter of rhombus
00:12 Surface area of sphere and cone
00:15 Volume of sphere and cone.
00:20 We assume that you have the basic working knowledge of Geogebra.
00:24 For relevant tutorials on Geogebra,
00:27 please visit our website.
00:31 To record this tutorial, I am using:
00:33 Ubuntu Linux OS Version 11.10
00:38 Geogebra Version 3.2.47.0
00:42 We will use the following Geogebra tools:
00:46 Segment between two points
00:48 Circle with center and radius
00:51 Ellipse Polygon
00:54 New point and
00:56 Insert text Let's open a new Geogebra window.
01:00 Click on Dash home and Media Apps. Under Type, choose Education and Geogebra
01:13 Let's find the area of a rhombus.
01:15 Let's use the file quadrilateral.ggb of the previous tutorial.
01:20 Click on File, Open, click on quadrilateral.ggb.
01:27 Click on Open.
01:29 Area of the Rhombus =1/2 * product of diagonals.
01:34 To demonstrate it:
01:36 Click on the Insert Text tool.
01:39 Click on the drawing pad. A text box opens.
01:44 Area of the rhombus =+(1/2 g f)

Open the double quotes(“), type: Area of the rhombus = close the double quotes +

for concatenation open the brackets, type: 1/2 space f space g

close the bracket f and g are the diagonals of the rhombus.

02:09 Click OK.
02:11 Area of rhombus is displayed here on the drawing pad.
02:14 Next, let's find perimeter.
02:17 Click on the Insert text tool.
02:19 Click on the drawing pad. A text box opens.
02:22 Open the double quotes(“) type: Perimeter of the rhombus =+(4 a) close double quotes '+' open the brackets

4 space 'a' close the brackets a is the side of the rhombus.

02:44 Click OK.
02:46 Perimeter of rhombus is displayed here on the drawing pad.
02:50 Let's now save the file.
02:53 Click on File and Save As.
02:55 I will type the filename as rhombus-area-perimeter
03:12 Click on Save.
03:17 As an assignment, I would like you to find area and perimeter of a trapezium,
03:22 use output of file cons-trapezium.ggb.
03:27 Rename object g as b.
03:30 Formula for area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h
03:40 Formula for perimeter =(sum of the sides) =(a+b+c+d)
03:49 The output of the assignment should look like this.
03:54 Let's open a new Geogebra window to draw a sphere.
03:58 Click on File , New
04:01 Click on the Circle with Center and Radius tool, from the toolbar.
04:06 Click on the drawing pad point A. A text box opens.
04:11 Enter value 2 for radius.
04:13 Click OK.
04:15 A circle with center A and radius 2cm is drawn.
04:19 Select New point tool from tool bar, mark a point B on the circumference of the circle.
04:26 Select Segment between two points tool.
04:29 Join points A and B as radius of the circle.
04:34 Let's draw an ellipse CDE in the horizontal direction, to touch the circumference of the circle.
04:42 Click on Ellipse tool.
04:45 Mark points C and D diagonally opposite to each other on the circumference and a third point E inside the circle.
04:56 Here a sphere is drawn.
04:59 Let's now find the Surface area of the sphere.
05:03 Click on Insert text tool.
05:05 Click on the drawing pad. A text box opens.
05:08 Please find the special characters in the drop down list in the text box. Scroll down to find π (pi).
05:17 open double quote, type: Surface area of the sphere = +( 4 π a2)

close double quote plus open the bracket 4 space select π from the list space

a select 'square' from the list close the bracket.

05:45 Click OK
05:47 Surface area of the sphere is displayed here.
05:52 Let me click on it and drag it, place it below.
05:56 Next, let's find volume.
05:59 Click on the Insert Text tool.
06:00 Click on the drawing pad, Text box opens.
06:03 open double quote type: Volume of the sphere = +(4/3 π a^3)

close double quote plus open the bracket 4/3 space select π from the list space a

select cube from the list, close the bracket.

06:31 Click OK.
06:34 Volume of the sphere is displayed here.
06:36 Let me click on it and drag it to place it below.
06:40 Next, let's draw a cone.
06:43 Click on Polygon tool.
06:45 Click on points C , D and an external point F and C once again.
06:53 Select Segments between two points tool join points F and A.
06:59 We get height of the cone.
07:03 Let me rename the object b as h which denotes height of the cone.
07:08 Right click on object b.Click on Rename.
07:11 Replace b with h, click OK.
07:15 Let me also rename the object c_1 as s which denotes slant height of cone.
07:21 Right click on object c_1.
07:23 Click on Rename.Replace c_1 with s.
07:26 Click OK.
07:28 Let's find now surface area and volume of the cone.
07:33 We can use either the Insert text tool from the tool bar or we can use the Input bar. I will use the Input bar.
07:40 Please find the special characters in the drop down list of the Input bar.
07:44 Scroll down to find π.
07:48 Type in the input bar: Area = (π a s + π a²)

Surfacearea = open the bracket Select 'π' from the list space a space s plus select π from the list space a

Select square from list close the bracket press Enter.

08:15 Surface Area of the cone is displayed in the Algebra view.
08:20 Please note when we use the Input bar answer appears in the Algebra view.
08:26 Let's find Volume.
08:29 Volume =(1/3 π a² h). Volume =open bracket 1/3 space select 'π' from the list space a

Select square from list space h close the bracket Press Enter.

08:50 Volume of the cone is displayed here in the Algebra view.
08:55 Lets now save the file. Click on File, Save As. I will type the file name as Sphere-cone.
09:08 Click on Save.
09:10 With this, we come to the end of this tutorial.
09:14 Let us summarize.
09:18 In this tutorial we have learnt to find:
09:20 Area and perimeter of rhombus
09:24 Surface Area of sphere and cone
09:27 Volume of sphere and cone.
09:30 We have also learnt to draw sphere and cone.
09:36 As an assignment, I would like you to find Surface area and volume of cylinder.
09:43 Draw 2 ellipses of same size, one below the other.
09:47 Connect edges of ellipses.
09:50 Use Center tool, find center of one ellipse.
09:54 Join center and edge.
09:56 Rename object b as h and e as r.
10:01 Surface area = 2 π r(r + h)
10:07 Volume = π r^2 h
10:13 The output of the assignment should look like this.
10:19 Watch the video available at this URL.
10:23 It summarizes the Spoken Tutorial project.
10:26 If you do not have good bandwidth, you can download and watch it.
10:31 The Spoken Tutorial Project Team :
10:33 Conducts workshops using spoken tutorials.
10:36 Gives certificates to those who pass an online test.
10:40 For more details, please write to contact@spoken-tutorial.org
10:48 Spoken Tutorial Project is a part of the Talk to a Teacher project.
10:52 It is supported by the National Mission on Education through ICT, MHRD, Government of India.
10:59 More information on this mission is available at this link.
11:06 This is Madhuri Ganapathi from IIT Bombay, signing off.Thanks for joining

Contributors and Content Editors

Madhurig, Minal, PoojaMoolya, Pratik kamble, Sandhya.np14

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