Difference between revisions of "Geogebra/C3/Mensuration/English-timed"
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− | |Time | + | |'''Time''' |
− | |Narration | + | |'''Narration''' |
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− | | | + | |00:00 |
|Hello everybody | |Hello everybody | ||
Welcome to this tutorial on Mensuration in Geogebra. | Welcome to this tutorial on Mensuration in Geogebra. | ||
|- | |- | ||
− | | | + | |00:06 |
|In this tutorial, we will learn to find | |In this tutorial, we will learn to find | ||
|- | |- | ||
− | | | + | |00:09 |
|Area and perimeter of rhombus | |Area and perimeter of rhombus | ||
|- | |- | ||
− | | | + | |00:12 |
|Surface area of sphere and cone | |Surface area of sphere and cone | ||
|- | |- | ||
− | | | + | |00:15 |
|Volume of sphere and cone | |Volume of sphere and cone | ||
|- | |- | ||
− | | | + | |00:20 |
|We assume that you have the basic working knowledge of Geogebra. | |We assume that you have the basic working knowledge of Geogebra. | ||
|- | |- | ||
− | | | + | |00:24 |
|For Relevant tutorials on Geogebra, | |For Relevant tutorials on Geogebra, | ||
|- | |- | ||
− | | | + | |00:27 |
|Please visit our website | |Please visit our website | ||
|- | |- | ||
− | | | + | |00:31 |
|To record this tutorial I am using | |To record this tutorial I am using | ||
|- | |- | ||
− | | | + | |00:33 |
|Ubuntu Linux OS Version 11.10 | |Ubuntu Linux OS Version 11.10 | ||
|- | |- | ||
− | | | + | |00:38 |
|Geogebra Version 3.2.47.0 | |Geogebra Version 3.2.47.0 | ||
|- | |- | ||
− | | | + | |00:42 |
|We will use the following Geogebra tools | |We will use the following Geogebra tools | ||
|- | |- | ||
− | | | + | |00:46 |
|Segment between two points | |Segment between two points | ||
|- | |- | ||
− | | | + | |00:48 |
|Circle with center and radius | |Circle with center and radius | ||
|- | |- | ||
− | | | + | |00:51 |
|Ellipse | |Ellipse | ||
|- | |- | ||
− | | | + | |00:52 |
|Polygon | |Polygon | ||
|- | |- | ||
− | | | + | |00:54 |
|New point and | |New point and | ||
|- | |- | ||
− | | | + | |00:56 |
|Insert text | |Insert text | ||
|- | |- | ||
− | | | + | |00:57 |
|Let's open a new Geogebra window. | |Let's open a new Geogebra window. | ||
|- | |- | ||
− | | | + | |01:00 |
|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 |
|Let's find the area of a rhombus. | |Let's find the area of a rhombus. | ||
|- | |- | ||
− | | | + | |01:15 |
|Let's use the file quadrilateral.ggb of the previous tutorial | |Let's use the file quadrilateral.ggb of the previous tutorial | ||
|- | |- | ||
− | | | + | |01:20 |
|Click on File, Open click on quadrilateral.ggb | |Click on File, Open click on quadrilateral.ggb | ||
|- | |- | ||
− | | | + | |01:27 |
|click on 'Open' | |click on 'Open' | ||
|- | |- | ||
− | | | + | |01:29 |
|Area of the Rhombus =1/2 * product of diagonals | |Area of the Rhombus =1/2 * product of diagonals | ||
|- | |- | ||
− | | | + | |01:34 |
|To demonstrate it | |To demonstrate it | ||
|- | |- | ||
− | | | + | |01:36 |
|Click on the “Insert text” tool | |Click on the “Insert text” tool | ||
|- | |- | ||
− | | | + | |01:39 |
|Click on the drawing pad | |Click on the drawing pad | ||
A text box opens | A text box opens | ||
|- | |- | ||
− | | | + | |01:44 |
|“Area of the rhombus =”+(1/2 g f) | |“Area of the rhombus =”+(1/2 g f) | ||
Line 134: | Line 134: | ||
|- | |- | ||
− | | | + | |02:09 |
|Click Ok. | |Click Ok. | ||
|- | |- | ||
− | | | + | |02:11 |
|Area of rhombus is displayed here on the drawing pad. | |Area of rhombus is displayed here on the drawing pad. | ||
|- | |- | ||
− | | | + | |02:14 |
|Next, let's find Perimeter | |Next, let's find Perimeter | ||
|- | |- | ||
− | | | + | |02:17 |
|Click on the “Insert text” tool | |Click on the “Insert text” tool | ||
|- | |- | ||
− | | | + | |02:19 |
|Click on the drawing pad. | |Click on the drawing pad. | ||
A text box opens. | A text box opens. | ||
|- | |- | ||
− | | | + | |02:22 |
|Open the double quotes(“) type | |Open the double quotes(“) type | ||
Line 167: | Line 167: | ||
|- | |- | ||
− | | | + | |02:44 |
|Click Ok. | |Click Ok. | ||
|- | |- | ||
− | | | + | |02:46 |
|Perimeter of rhombus is displayed here on the drawing pad. | |Perimeter of rhombus is displayed here on the drawing pad. | ||
|- | |- | ||
− | | | + | |02:50 |
|Let's now save the file. | |Let's now save the file. | ||
|- | |- | ||
− | | | + | |02:53 |
|Click on “File” and "Save As". | |Click on “File” and "Save As". | ||
|- | |- | ||
− | | | + | |02:55 |
|I will type the filename as "rhombus-area-perimeter" | |I will type the filename as "rhombus-area-perimeter" | ||
|- | |- | ||
− | | | + | |03:12 |
|Click on “Save”. | |Click on “Save”. | ||
|- | |- | ||
− | | | + | |03:17 |
|As an assignment i would like you | |As an assignment i would like you | ||
To find area and perimeter of trapezium, | To find area and perimeter of trapezium, | ||
|- | |- | ||
− | | | + | |03:22 |
|use output of file “cons-trapezium.ggb” | |use output of file “cons-trapezium.ggb” | ||
|- | |- | ||
− | | | + | |03:27 |
|Rename object 'g' as 'b' | |Rename object 'g' as 'b' | ||
|- | |- | ||
− | | | + | |03:30 |
|Formula for area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h | |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) | |Formula for perimeter =(sum of the sides) =(a+b+c+d) | ||
|- | |- | ||
− | | | + | |03:49 |
|The output of the assignment should look like this. | |The output of the assignment should look like this. | ||
|- | |- | ||
− | | | + | |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 |
|Click on “File” , “New” | |Click on “File” , “New” | ||
|- | |- | ||
− | | | + | |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 |
|Click on the drawing pad point 'A' | |Click on the drawing pad point 'A' | ||
A text box opens. | A text box opens. | ||
|- | |- | ||
− | | | + | |04:11 |
|enter value '2' for radius. | |enter value '2' for radius. | ||
|- | |- | ||
− | | | + | |04:13 |
|Click OK | |Click OK | ||
|- | |- | ||
− | | | + | |04:15 |
|A circle with center 'A' and radius '2cm' is drawn. | |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 | |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 | |Select “Segment between two points” tool | ||
|- | |- | ||
− | | | + | |04:29 |
|Join points 'A' and 'B' as radius of the circle | |Join points 'A' and 'B' as radius of the circle | ||
|- | |- | ||
− | | | + | |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 |
|Click on “Ellipse” tool | |Click on “Ellipse” tool | ||
|- | |- | ||
− | | | + | |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 |
|Here a sphere is drawn | |Here a sphere is drawn | ||
|- | |- | ||
− | | | + | |04:59 |
|Let's now find the Surface area of the sphere | |Let's now find the Surface area of the sphere | ||
|- | |- | ||
− | | | + | |05:03 |
|Click on “Insert text” tool | |Click on “Insert text” tool | ||
|- | |- | ||
− | | | + | |05:05 |
|Click on the drawing pad. | |Click on the drawing pad. | ||
A text box opens | A text box opens | ||
|- | |- | ||
− | | | + | |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 |
|open double quote type | |open double quote type | ||
Line 307: | Line 307: | ||
|- | |- | ||
− | | | + | |05:45 |
|Click OK | |Click OK | ||
|- | |- | ||
− | | | + | |05:47 |
|surface area of the sphere is displayed here | |surface area of the sphere is displayed here | ||
|- | |- | ||
− | | | + | |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 |
|Next let's find Volume | |Next let's find Volume | ||
|- | |- | ||
− | | | + | |05:59 |
|Click on the 'Insert Text' tool | |Click on the 'Insert Text' tool | ||
|- | |- | ||
− | | | + | |06:00 |
|click on the drawing pad | |click on the drawing pad | ||
Text box opens | Text box opens | ||
|- | |- | ||
− | | | + | |06:03 |
|open double quote type | |open double quote type | ||
Line 344: | Line 344: | ||
|- | |- | ||
− | | | + | |06:31 |
|click OK | |click OK | ||
|- | |- | ||
− | | | + | |06:34 |
|Volume of the sphere is displayed here | |Volume of the sphere is displayed here | ||
|- | |- | ||
− | | | + | |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 |
|Next let's draw a cone | |Next let's draw a cone | ||
|- | |- | ||
− | | | + | |06:43 |
|Click on “Polygon” tool | |Click on “Polygon” tool | ||
|- | |- | ||
− | | | + | |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 |
|Select “Segments between two points” tool | |Select “Segments between two points” tool | ||
join points 'F' and 'A' | join points 'F' and 'A' | ||
|- | |- | ||
− | | | + | |06:59 |
|We get height of the cone. | |We get height of the cone. | ||
|- | |- | ||
− | | | + | |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 |
|Right click on object 'b' | |Right click on object 'b' | ||
|- | |- | ||
− | | | + | |07:09 |
|Click on “Rename” | |Click on “Rename” | ||
|- | |- | ||
− | | | + | |07:11 |
|Replace 'b' with 'h' click OK | |Replace 'b' with 'h' click OK | ||
|- | |- | ||
− | | | + | |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 |
|Right click on object 'c_1' | |Right click on object 'c_1' | ||
|- | |- | ||
− | | | + | |07:23 |
|click on “Rename” | |click on “Rename” | ||
|- | |- | ||
− | | | + | |07:24 |
|Replace 'c_1' with 's' | |Replace 'c_1' with 's' | ||
|- | |- | ||
− | | | + | |07:26 |
|Click OK | |Click OK | ||
|- | |- | ||
− | | | + | |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 |
|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 |
|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 |
|Scroll down to find “π” | |Scroll down to find “π” | ||
|- | |- | ||
− | | | + | |07:48 |
|Type in the input bar | |Type in the input bar | ||
Line 449: | Line 449: | ||
|- | |- | ||
− | | | + | |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 |
|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 |
|Let's find Volume | |Let's find Volume | ||
|- | |- | ||
− | | | + | |08:29 |
|Volume =(1/3 π a² h) | |Volume =(1/3 π a² h) | ||
Line 474: | Line 474: | ||
|- | |- | ||
− | | | + | |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 |
|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 |
|Click on “Save”. | |Click on “Save”. | ||
|- | |- | ||
− | | | + | |09:10 |
|with this we come to the end of this tutorial | |with this we come to the end of this tutorial | ||
|- | |- | ||
− | | | + | |09:14 |
|Let us summarize | |Let us summarize | ||
|- | |- | ||
− | | | + | |09:18 |
|In this tutorial we have learnt to find | |In this tutorial we have learnt to find | ||
|- | |- | ||
− | | | + | |09:20 |
|Area and perimeter of rhombus | |Area and perimeter of rhombus | ||
|- | |- | ||
− | | | + | |09:24 |
|Surface Area of sphere and cone | |Surface Area of sphere and cone | ||
|- | |- | ||
− | | | + | |09:27 |
|Volume of sphere and cone | |Volume of sphere and cone | ||
|- | |- | ||
− | | | + | |09:30 |
|We have also learnt to draw sphere and cone | |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 | |As an assignment I would like you to find Surface area and volume of cylinder | ||
|- | |- | ||
− | | | + | |09:43 |
|Draw 2 ellipses of same sized one below the other | |Draw 2 ellipses of same sized one below the other | ||
|- | |- | ||
− | | | + | |09:47 |
|Connect edges of ellipses | |Connect edges of ellipses | ||
|- | |- | ||
− | | | + | |09:50 |
|Use “center” tool, find center of one ellipse | |Use “center” tool, find center of one ellipse | ||
|- | |- | ||
− | | | + | |09:54 |
|Join center and edge. | |Join center and edge. | ||
|- | |- | ||
− | | | + | |09:56 |
|Rename object 'b' as 'h' and 'e' as 'r' | |Rename object 'b' as 'h' and 'e' as 'r' | ||
Revision as of 12:17, 9 July 2014
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 |
00:52 | Polygon |
00:54 | New point and |
00:56 | Insert text |
00:57 | 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 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' |
07:09 | 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” |
07:24 | 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 sized 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^2h |
10:13 | The output of the assignment should look like this. |
10:19 | Watch the video available at this URL |
10:23 | It summarises 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 |