Difference between revisions of "Geogebra/C3/Mensuration/English-timed"
From Script | Spoken-Tutorial
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|00:00 | |00:00 | ||
|Hello everybody | |Hello everybody | ||
| − | Welcome to this tutorial on Mensuration in Geogebra. | + | Welcome to this tutorial on '''Mensuration in Geogebra'''. |
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|00:09 | |00:09 | ||
| − | |Area and perimeter of rhombus | + | |'''Area and perimeter of rhombus''' |
|- | |- | ||
|00:12 | |00:12 | ||
| − | |Surface area of sphere and cone | + | '''|Surface area of sphere and cone''' |
|- | |- | ||
|00:15 | |00:15 | ||
| − | |Volume of sphere and cone | + | |'''Volume of sphere and cone''' |
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| Line 62: | Line 62: | ||
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|00:51 | |00:51 | ||
| − | |Ellipse | + | |'''Ellipse''' |
|- | |- | ||
|00:52 | |00:52 | ||
| − | |Polygon | + | |'''Polygon''' |
|- | |- | ||
|00:54 | |00:54 | ||
| − | |New point and | + | |'''New point and |
|- | |- | ||
|00:56 | |00:56 | ||
| − | |Insert text | + | |Insert text''' |
|- | |- | ||
|00:57 | |00:57 | ||
| − | |Let's open a new Geogebra window. | + | |Let's open a new '''Geogebra''' window. |
|- | |- | ||
|01:00 | |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 | |01:13 | ||
| − | |Let's find the area of a rhombus. | + | |Let's find the area of a '''rhombus'''. |
|- | |- | ||
|01:15 | |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 | |01:20 | ||
| − | |Click on File, Open click on quadrilateral.ggb | + | |Click on File, Open click on '''quadrilateral.ggb''' |
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| Line 119: | Line 119: | ||
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|01:44 | |01:44 | ||
| − | | | + | |'''Area of the rhombus ='''+(1/2 g f) |
Open the double quotes(“) type | Open the double quotes(“) type | ||
| Line 125: | Line 125: | ||
Area of the rhombus = close the double quotes | Area of the rhombus = close the double quotes | ||
| − | '+' for concatenation open the brackets type | + | '''+''' for concatenation open the brackets type |
| − | '1/2' space 'f' space 'g' | + | '''1/2''' space '''f''' space '''g''' |
close the bracket | close the bracket | ||
| − | 'f' and 'g' are the diagonals of the rhombus | + | '''f''' and '''g''' are the diagonals of the rhombus |
|- | |- | ||
| Line 184: | Line 184: | ||
|- | |- | ||
|02:55 | |02:55 | ||
| − | |I will type the filename as | + | |I will type the filename as '''rhombus-area-perimeter''' |
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| Line 197: | Line 197: | ||
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|03:22 | |03:22 | ||
| − | |use output of file | + | |use output of file '''cons-trapezium.ggb''' |
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| Line 246: | Line 246: | ||
|- | |- | ||
|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 |
|- | |- | ||
| Line 298: | Line 298: | ||
'''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 | + | close double quote '''plus''' open the bracket '''4''' space |
select 'π' from the list space | select 'π' from the list space | ||
| − | 'a' select 'square' from the list | + | '''a''' select 'square' from the list |
close the bracket | close the bracket | ||
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|- | |- | ||
|05:59 | |05:59 | ||
| − | |Click on the 'Insert Text' tool | + | |Click on the '''Insert Text''' tool |
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select '''π''' from the list space '''a''' | select '''π''' from the list space '''a''' | ||
| − | select 'cube' from the list close the bracket | + | select '''cube''' from the list close the bracket |
|- | |- | ||
| Line 370: | Line 370: | ||
|- | |- | ||
|06:53 | |06:53 | ||
| − | |Select | + | |Select '''Segments between two points''' tool |
join points '''F''' and '''A''' | join points '''F''' and '''A''' | ||
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|- | |- | ||
|07:40 | |07:40 | ||
| − | |Please find the special characters in the drop down list of the | + | |Please find the special characters in the drop down list of the '''Input bar''' |
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| Line 467: | Line 467: | ||
Volume =open bracket | Volume =open bracket | ||
| − | '1/3' space select 'π' from the list space '''a''' | + | '''1/3''' space select 'π' from the list space '''a''' |
Select 'square' from list space '''h''' close the bracket | Select 'square' from list space '''h''' close the bracket | ||
| Line 480: | Line 480: | ||
|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 | + | I will type the file name as '''Sphere-cone''' |
|- | |- | ||
Revision as of 11:00, 9 September 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 |
