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

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|00:00
 
|00:00
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|Hello everybody
+
|Hello everybody Welcome to this tutorial on '''Mensuration in Geogebra'''.  
−
Welcome to this tutorial on Mensuration in Geogebra.  
+
  
 
|-
 
|-
 
|00:06
 
|00:06
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|In this tutorial, we will learn to find
+
|In this tutorial, we will learn to find:
  
 
|-
 
|-
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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
  
 
|-
 
|-
 
|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,
  
 
|-
 
|-
 
|00:27
 
|00:27
−
|Please visit our website
+
|please visit our website.
  
 
|-
 
|-
 
|00:31
 
|00:31
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|To record this tutorial I am using
+
|To record this tutorial, I am using:
  
 
|-
 
|-
 
|00:33
 
|00:33
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|Ubuntu Linux OS Version 11.10
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|'''Ubuntu Linux OS''' Version 11.10
  
 
|-
 
|-
 
|00:38
 
|00:38
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|Geogebra Version 3.2.47.0  
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|'''Geogebra''' Version 3.2.47.0  
  
 
|-
 
|-
 
|00:42
 
|00:42
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|We will use the following Geogebra tools
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|We will use the following Geogebra tools:
  
 
|-
 
|-
 
|00:46
 
|00:46
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|Segment between two points  
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|'''Segment between two points'''
  
 
|-
 
|-
 
|00:48
 
|00:48
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|Circle with center and radius  
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|'''Circle with center and radius'''
  
 
|-
 
|-
 
|00:51
 
|00:51
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|Ellipse  
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|'''Ellipse''' '''Polygon'''
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+
−
|-
+
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|00:52
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|Polygon  
+
  
 
|-
 
|-
 
|00:54
 
|00:54
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|New point and  
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|'''New point and  
  
 
|-
 
|-
 
|00:56
 
|00:56
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|Insert text  
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|'''Insert text''' Let's open a new '''Geogebra''' window.
−
 
+
−
|-
+
−
|00:57
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−
|Let's open a new Geogebra window.
+
  
 
|-
 
|-
 
|01:00
 
|01:00
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|Click on Dash home and Media Apps. Under Type, choose Education and Geogebra  
+
|Click on '''Dash home''' and '''Media Apps'''. Under '''Type''', choose '''Education and Geogebra'''
  
 
|-
 
|-
 
|01:13
 
|01:13
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|Let's find the area of a rhombus.
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|Let's find the area of a '''rhombus'''.
  
 
|-
 
|-
 
|01:15
 
|01:15
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|Let's use the file quadrilateral.ggb of the previous tutorial  
+
|Let's use the file '''quadrilateral.ggb''' of the previous tutorial.
  
 
|-
 
|-
 
|01:20
 
|01:20
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|Click on File, Open click on quadrilateral.ggb
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|Click on File, Open, click on '''quadrilateral.ggb'''.
  
 
|-
 
|-
 
|01:27
 
|01:27
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|click on 'Open'  
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|Click on '''Open'''.
  
 
|-
 
|-
 
|01:29
 
|01:29
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|Area of the Rhombus =1/2 * product of diagonals  
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|Area of the Rhombus =1/2 * product of diagonals.
  
 
|-
 
|-
 
|01:34
 
|01:34
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|To demonstrate it  
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|To demonstrate it:
  
 
|-
 
|-
 
|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  
+
|Click on the drawing pad. A text box opens.
−
A text box opens
+
  
 
|-
 
|-
 
|01:44
 
|01:44
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|“Area of the rhombus =”+(1/2 g f)  
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|'''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'
+
Open the double quotes(“), type: Area of the rhombus = close the double quotes '''+'''  
  
−
close the bracket
+
for concatenation open the brackets, type: '''1/2''' space '''f''' space '''g'''
  
−
'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.
  
 
|-
 
|-
 
|02:09
 
|02:09
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|Click Ok.
+
|Click '''OK'''.
  
 
|-
 
|-
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|-
 
|-
 
|02:14
 
|02:14
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|Next, let's find Perimeter
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|Next, let's find perimeter.
  
 
|-
 
|-
 
|02:17
 
|02:17
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|Click on the “Insert text” tool  
+
|Click on the '''Insert text''' tool.
  
 
|-
 
|-
 
|02:19
 
|02:19
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|Click on the drawing pad.  
+
|Click on the drawing pad. A text box opens.
−
A text box opens.
+
  
 
|-
 
|-
 
|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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'4' space 'a' close the brackets
+
−
 
+
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'a' is the side of the rhombus  
+
  
 
|-
 
|-
 
|02:44
 
|02:44
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|Click Ok.
+
|Click '''OK'''.
  
 
|-
 
|-
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|-
 
|-
 
|02:53
 
|02:53
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|Click on “File” and "Save As".
+
|Click on '''File''' and '''Save As'''.
  
 
|-
 
|-
 
|02:55
 
|02:55
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|I will type the filename as "rhombus-area-perimeter"
+
|I will type the filename as '''rhombus-area-perimeter'''
  
 
|-
 
|-
 
|03:12
 
|03:12
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|Click on “Save”.  
+
|Click on '''Save'''.  
  
 
|-
 
|-
 
|03:17
 
|03:17
−
|As an assignment i would like you  
+
|As an assignment, I would like you to find area and perimeter of a trapezium,
−
To find area and perimeter of trapezium,
+
  
 
|-
 
|-
 
|03:22
 
|03:22
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|use output of file “cons-trapezium.ggb”
+
|use output of file '''cons-trapezium.ggb'''.
  
 
|-
 
|-
 
|03:27
 
|03:27
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|Rename object 'g' as 'b'
+
|Rename object '''g''' as '''b'''.
  
 
|-
 
|-
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|-
 
|-
 
|03:54
 
|03:54
−
|Let's open a new Geogebra window to draw a sphere
+
|Let's open a new Geogebra window to draw a sphere.
  
 
|-
 
|-
 
|03:58
 
|03:58
−
|Click on “File” , “New”
+
|Click on '''File''' , '''New'''
  
 
|-
 
|-
 
|04:01
 
|04:01
−
|Click on the “Circle with center and radius” tool from the toolbar  
+
|Click on the '''Circle with Center and Radius''' tool, from the toolbar.
  
 
|-
 
|-
 
|04:06
 
|04:06
−
|Click on the drawing pad point 'A'  
+
|Click on the drawing pad point '''A'''. A text box opens.
−
A text box opens.
+
  
 
|-
 
|-
 
|04:11
 
|04:11
−
|enter value '2' for radius.  
+
|Enter value '''2''' for radius.  
  
 
|-
 
|-
 
|04:13
 
|04:13
−
|Click OK
+
|Click '''OK'''.
  
 
|-
 
|-
 
|04:15
 
|04:15
−
|A circle with center 'A' and radius '2cm' is drawn.  
+
|A circle with center '''A''' and radius '''2cm''' is drawn.  
  
 
|-
 
|-
 
|04:19
 
|04:19
−
|Select “New point” tool from tool bar mark a point 'B' on the circumference of the circle  
+
|Select '''New point''' tool from tool bar, mark a point '''B''' on the circumference of the circle.
  
 
|-
 
|-
 
|04:26
 
|04:26
−
|Select “Segment between two points” tool
+
|Select '''Segment between two points''' tool.
  
 
|-
 
|-
 
|04:29
 
|04:29
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|Join points 'A' and 'B' as radius of the circle  
+
|Join points '''A''' and '''B''' as radius of the circle.
  
 
|-
 
|-
 
|04:34
 
|04:34
−
|Let's draw an ellipse “CDE” in the horizontal direction,
+
|Let's draw an ellipse '''CDE''' in the horizontal direction, to touch the circumference of the circle.  
−
to touch the circumference of the circle.  
+
  
 
|-
 
|-
 
|04:42
 
|04:42
−
|Click on “Ellipse” tool  
+
|Click on '''Ellipse''' tool.
  
 
|-
 
|-
 
|04:45
 
|04:45
−
|Mark points 'C' and 'D' diagonally opposite to each other on the circumference
+
|Mark points '''C''' and '''D''' diagonally opposite to each other on the circumference and a third point '''E''' inside the circle.
−
and a third point 'E' inside the circle
+
  
 
|-
 
|-
 
|04:56
 
|04:56
−
|Here a sphere is drawn  
+
|Here a sphere is drawn.
  
 
|-
 
|-
 
|04:59
 
|04:59
−
|Let's now find the Surface area of the sphere
+
|Let's now find the Surface area of the sphere.
  
 
|-
 
|-
 
|05:03
 
|05:03
−
|Click on “Insert text” tool  
+
|Click on '''Insert text''' tool.
  
 
|-
 
|-
 
|05:05
 
|05:05
−
|Click on the drawing pad.  
+
|Click on the drawing pad. A text box opens.
−
A text box opens
+
  
 
|-
 
|-
 
|05:08
 
|05:08
−
|Please find the special characters in the drop down list in the text box  
+
|Please find the special characters in the drop down list in the text box. Scroll down to find π (pi).
−
Scroll down to find π (pi)  
+
  
 
|-
 
|-
 
|05:17
 
|05:17
−
|open double quote type
+
|open double quote, type: '''Surface area of the sphere =''' +( 4 π a2)
  
−
“ Surface area of the sphere =” +( 4 π a2)
+
close double quote '''plus''' open the bracket '''4''' space select '''π''' from the list space
  
−
close double quote 'plus' open the bracket '4' space
+
'''a''' select 'square' from the list close the bracket.
−
 
+
−
select 'π' from the list space
+
−
 
+
−
'a' select 'square' from the list
+
−
 
+
−
close the bracket  
+
  
 
|-
 
|-
 
|05:45
 
|05:45
−
|Click OK
+
|Click '''OK'''
  
 
|-
 
|-
 
|05:47
 
|05:47
−
|surface area of the sphere is displayed here
+
|Surface area of the sphere is displayed here.
  
 
|-
 
|-
 
|05:52
 
|05:52
−
|let me click on it and drag it place it below  
+
|Let me click on it and drag it, place it below.
  
 
|-
 
|-
 
|05:56
 
|05:56
−
|Next let's find Volume
+
|Next, let's find volume.
  
 
|-
 
|-
 
|05:59
 
|05:59
−
|Click on the 'Insert Text' tool  
+
|Click on the '''Insert Text''' tool.
  
 
|-
 
|-
 
|06:00
 
|06:00
−
|click on the drawing pad
+
|Click on the drawing pad, Text box opens.
−
Text box opens  
+
  
 
|-
 
|-
 
|06:03
 
|06:03
−
|open double quote type
+
|open double quote type: '''Volume of the sphere =''' +(4/3 π a^3)
  
−
“ 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'''
  
−
close double quote 'plus' open the bracket '4/3' space
+
select '''cube''' from the list, close the bracket.
−
 
+
−
select 'π' from the list space 'a'
+
−
 
+
−
select 'cube' from the list close the bracket  
+
  
 
|-
 
|-
 
|06:31
 
|06:31
−
|click OK
+
|Click '''OK'''.
  
 
|-
 
|-
 
|06:34
 
|06:34
−
|Volume of the sphere is displayed here
+
|Volume of the sphere is displayed here.
  
 
|-
 
|-
 
|06:36
 
|06:36
−
|let me click on it and drag it to place it below  
+
|Let me click on it and drag it to place it below.
  
 
|-
 
|-
 
|06:40
 
|06:40
−
|Next let's draw a cone
+
|Next, let's draw a cone.
  
 
|-
 
|-
 
|06:43
 
|06:43
−
|Click on “Polygon” tool
+
|Click on '''Polygon''' tool.
  
 
|-
 
|-
 
|06:45
 
|06:45
−
|Click on points 'C' , 'D' and an external point 'F'
+
|Click on points '''C''' , '''D''' and an external point '''F''' and '''C''' once again.
−
and 'C' once again  
+
  
 
|-
 
|-
 
|06:53
 
|06:53
−
|Select “Segments between two points” tool
+
|Select '''Segments between two points''' tool join points '''F''' and '''A'''.
−
join points 'F' and 'A'
+
 
    
 
    
 
|-
 
|-
 
|06:59
 
|06:59
 
|We get height of the cone.  
 
|We get height of the cone.  
−
 
  
 
|-
 
|-
 
|07:03
 
|07:03
−
|Let me rename the object 'b' as 'h' which denotes height of the cone
+
|Let me rename the object '''b''' as '''h''' which denotes height of the cone.
  
 
|-
 
|-
 
|07:08
 
|07:08
−
|Right click on object 'b'
+
|Right click on object '''b'''.Click on '''Rename'''.
−
 
+
−
|-
+
−
|07:09
+
−
|Click on “Rename”
+
  
 
|-
 
|-
 
|07:11
 
|07:11
−
|Replace 'b' with 'h' click OK  
+
|Replace '''b''' with '''h''', click '''OK'''.
  
 
|-
 
|-
 
|07:15
 
|07:15
−
|Let me also
+
|Let me also rename the object '''c_1''' as '''s''' which denotes slant height of cone.
−
Rename the object 'c_1' as 's' which denotes slant height of cone.
+
  
 
|-
 
|-
 
|07:21
 
|07:21
−
|Right click on object 'c_1'
+
|Right click on object '''c_1'''.
  
 
|-
 
|-
 
|07:23
 
|07:23
−
|click on “Rename”
+
|Click on '''Rename'''.Replace '''c_1''' with '''s'''.
−
 
+
−
|-
+
−
|07:24
+
−
|Replace 'c_1' with 's'
+
  
 
|-
 
|-
 
|07:26
 
|07:26
−
|Click OK  
+
|Click '''OK'''.
  
 
|-
 
|-
 
|07:28
 
|07:28
−
|Let's find now surface area and volume of the cone,
+
|Let's find now surface area and volume of the cone.
  
 
|-
 
|-
 
|07:33
 
|07:33
−
|We can use either the Insert text tool from the tool bar or we can use the input bar.
+
|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'''.
−
I will use the “Input bar”
+
  
 
|-
 
|-
 
|07:40
 
|07:40
−
|Please find the special characters in the drop down list of the “Input bar”
+
|Please find the special characters in the drop down list of the '''Input bar'''.
  
 
|-
 
|-
 
|07:44
 
|07:44
−
|Scroll down to find “π”
+
|Scroll down to find '''π'''.
  
 
|-
 
|-
 
|07:48
 
|07:48
−
|Type in the input bar
+
|Type in the input bar: Area = (π a s + π a²)
−
+
−
Area = (π a s + π a²)
+
  
−
Surfacearea = open the bracket
+
Surfacearea = open the bracket Select 'π' from the list space '''a''' space '''s''' plus select '''π''' from the list space '''a'''
  
−
Select 'π' from the list space 'a' space 's'
+
Select '''square''' from list close the bracket press '''Enter'''.
−
 
+
−
plus select 'π' from the list space 'a'
+
−
 
+
−
Select 'square' from list close the bracket
+
−
 
+
−
press enter
+
  
 
|-
 
|-
 
|08:15
 
|08:15
−
|Surface Area of the cone is displayed in the Algebra view
+
|Surface Area of the cone is displayed in the Algebra view.
  
 
|-
 
|-
 
|08:20
 
|08:20
−
|Please note when we use the Input bar
+
|Please note when we use the '''Input bar''' answer appears in the Algebra view.
−
answer appears in the Algebra view  
+
  
 
|-
 
|-
 
|08:26
 
|08:26
−
|Let's find Volume  
+
|Let's find Volume.
  
 
|-
 
|-
 
|08:29
 
|08:29
−
|Volume =(1/3 π a² h)  
+
|Volume =(1/3 π a² h). Volume =open bracket '''1/3''' space select 'π' from the list space '''a'''
−
 
+
−
Volume =open bracket
+
−
 
+
−
'1/3' space select 'π' from the list space 'a'
+
−
 
+
−
Select 'square' from list space 'h' close the bracket
+
  
−
Press enter
+
Select '''square''' from list space '''h''' close the bracket Press '''Enter'''.
  
 
|-
 
|-
 
|08:50
 
|08:50
−
|Volume of the cone is displayed here in the Algebra view  
+
|Volume of the cone is displayed here in the Algebra view.
  
 
|-
 
|-
 
|08:55
 
|08:55
−
|Lets now save the file. Click on file "Save As".
+
|Lets now save the file. Click on '''File''', '''Save As'''. I will type the file name as '''Sphere-cone'''.
−
I will type the file name as "Sphere-cone"
+
  
 
|-
 
|-
 
|09:08
 
|09:08
−
|Click on “Save”.
+
|Click on '''Save'''.
  
 
|-
 
|-
 
|09:10
 
|09:10
−
|with this we come to the end of this tutorial  
+
|With this, we come to the end of this tutorial.
  
 
|-
 
|-
 
|09:14
 
|09:14
−
|Let us summarize
+
|Let us summarize.
  
 
|-
 
|-
 
|09:18
 
|09:18
−
|In this tutorial we have learnt to find
+
|In this tutorial we have learnt to find:
  
 
|-
 
|-
Line 504: Line 435:
 
|-
 
|-
 
|09:24
 
|09:24
−
|Surface Area of sphere and cone  
+
| Surface Area of sphere and cone  
  
 
|-
 
|-
 
|09:27
 
|09:27
−
|Volume of sphere and cone  
+
|Volume of sphere and cone.
  
 
|-
 
|-
 
|09:30
 
|09:30
−
|We have also learnt to draw sphere and cone  
+
|We have also learnt to draw sphere and cone.
  
 
|-
 
|-
 
|09:36
 
|09:36
−
|As an assignment I would like you to find Surface area and volume of cylinder
+
|As an assignment, I would like you to find Surface area and volume of cylinder.
  
 
|-
 
|-
 
|09:43
 
|09:43
−
|Draw 2 ellipses of same sized one below the other
+
|Draw 2 ellipses of same size, one below the other.
  
 
|-
 
|-
 
|09:47
 
|09:47
−
|Connect edges of ellipses
+
|Connect edges of ellipses.
  
 
|-
 
|-
 
|09:50
 
|09:50
−
|Use “center” tool, find center of one ellipse
+
|Use '''Center tool''', find center of one ellipse.
  
 
|-
 
|-
Line 536: Line 467:
 
|-
 
|-
 
|09:56
 
|09:56
−
|Rename object 'b' as 'h' and 'e' as 'r'
+
|Rename object '''b''' as '''h''' and '''e''' as '''r'''.
  
 
|-
 
|-
Line 544: Line 475:
 
|-
 
|-
 
|10:07
 
|10:07
−
|Volume = π r^2h
+
|Volume = π r^2 h
  
 
|-
 
|-
Line 552: Line 483:
 
|-
 
|-
 
|10:19
 
|10:19
−
|Watch the video available at this URL
+
|Watch the video available at this URL.
  
 
|-
 
|-
 
|10:23
 
|10:23
−
|It summarises the Spoken Tutorial project
+
|It summarizes the Spoken Tutorial project.
  
 
|-
 
|-
 
|10:26
 
|10:26
−
|If you do not have good bandwidth, you can download and watch it  
+
|If you do not have good bandwidth, you can download and watch it.
  
 
|-
 
|-
Line 568: Line 499:
 
|-
 
|-
 
|10:33
 
|10:33
−
|Conducts workshops using spoken tutorials
+
|Conducts workshops using spoken tutorials.
  
 
|-
 
|-
 
|10:36
 
|10:36
−
|Gives certificates to those who pass an online test
+
|Gives certificates to those who pass an online test.
  
 
|-
 
|-
 
|10:40
 
|10:40
−
|For more details, please write to
+
|For more details, please write to contact@spoken-tutorial.org  
−
contact@spoken-tutorial.org  
+
  
 
|-
 
|-
 
|10:48
 
|10:48
−
|Spoken Tutorial Project is a part of the Talk to a Teacher project
+
|Spoken Tutorial Project is a part of the Talk to a Teacher project.
  
 
|-
 
|-
 
|10:52
 
|10:52
−
|It is supported by the National Mission on Education through ICT, MHRD, Government of India
+
|It is supported by the National Mission on Education through ICT, MHRD, Government of India.
  
 
|-
 
|-
 
|10:59
 
|10:59
−
|More information on this Mission is available at this link.
+
|More information on this mission is available at this link.
  
 
|-
 
|-
 
|11:06
 
|11:06
−
|This is Madhuri Ganapathi from IIT Bombay signing off.
+
|This is Madhuri Ganapathi from IIT Bombay, signing off.Thanks for joining
−
 
+
−
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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