Geogebra/C3/Radian-Measure/English-timed - Revision history

Sandhya.np14 at 04:54, 21 April 2015

2015-04-21T04:54:03Z

Sandhya.np14 at 04:43, 21 April 2015

2015-04-21T04:43:42Z

Sandhya.np14 at 19:43, 20 April 2015

2015-04-20T19:43:46Z

Sandhya.np14 at 11:12, 20 April 2015

2015-04-20T11:12:16Z

Sandhya.np14 at 12:23, 24 February 2015

2015-02-24T12:23:06Z

Sandhya.np14 at 12:20, 24 February 2015

2015-02-24T12:20:35Z

Sandhya.np14 at 10:06, 24 February 2015

2015-02-24T10:06:51Z

Pratik kamble at 07:09, 9 September 2014

2014-09-09T07:09:43Z

Pratik kamble at 07:09, 9 September 2014

2014-09-09T07:09:14Z

Pratik kamble at 11:58, 3 September 2014

2014-09-03T11:58:32Z

@@ Line 161: / Line 161: @@
 |-
 ||06:41
-||Now lets change the length of this arc to that of a semi circle, so the arc length is [π a] where '''a''' is the radius of the circle.
+||Now let's change the length of this arc to that of a semi circle, so the arc length is [π a] where '''a''' is the radius of the circle.
 |-

@@ Line 69: / Line 69: @@
 |-
 ||02:30
-||Now i will start typing '''arc''' here, you will notice that it completed the command for me. I can also look up this command from the drop down box here.
+||Now I will start typing '''arc''' here, you will notice that it completed the command for me. I can also look up this command from the drop down box here.
 |-
 ||02:41
-||I click on '''arc''', you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit enter, the syntax for this command will appear here.
+||I click on '''arc''', you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit '''Enter''', the syntax for this command will appear here.
 |-

@@ Line 165: / Line 165: @@
 |-
 ||06:53
-||Before that, I will redefine the angle unit to be '''Degrees''' because we want to find the value of 1 rad in degrees.
+||Before that, I will redefine the angle unit to be '''Degrees''' because we want to find the value of 1 rad. in degrees.
 |-
@@ Line 173: / Line 173: @@
 |-
 ||07:13
-||And if I complete this circle we notice that the angle of α will be almost 360 degrees.
+||And, if I complete this circle we notice that the angle of α will be almost 360 degrees.
 |-
@@ Line 185: / Line 185: @@
 |-
 ||08:03
-||Notice that the value of '''θ''' is actually the value of the angle in radian. However, it appears with a degree symbol here because of a formatting difficulty.
+||Notice that the value of '''θ''' is actually the value of the angle in radians. However, it appears with a degree symbol here because of a formatting difficulty.
 |-
@@ Line 201: / Line 201: @@
 |-
 ||08:52
-||For an introduction on how to write text please refer to the tutorial '''Angles and Triangles Basics'''.
+||For an introduction on how to write text, please refer to the tutorial '''Angles and Triangles Basics'''.
 |-
 ||09:34
-||Now, notice that when I change the arc length you will notice that the value of '''θ''' changes,  and the relation between arc length and the angle subtended goes as d=r.θ where 'd' is the arc length, 'r' is the radius of the circle and  'θ' is the angle subtended at the center in radians.
+||Now, notice that when I change the arc length, you will notice that the value of '''θ''' changes  and the relation between arc length and the angle subtended goes as d=r.θ where 'd' is the arc length, 'r' is the radius of the circle and  'θ' is the angle subtended at the center, in radians.
 |-
@@ Line 225: / Line 225: @@
 |-
 ||10:40
-||The assignment when drawn will look like this. We want to calculate the area of the sector here by comparing it with the quadrant here.
+||The assignment when drawn, will look like this. We want to calculate the area of the sector here by comparing it with the quadrant here.
 |-

@@ Line 5: / Line 5: @@
 |-
 ||00:01
-||Hello. In this tutorial, we will work on '''radians and sectors using Geogebra'''.
+||Hello. In this tutorial, we will work on '''radians''' and '''sectors''' using '''Geogebra'''.
 |-
@@ Line 21: / Line 21: @@
 |-
 ||00:35
-||In this lesson: we will understand what a '''radian''' means and how to draw a '''radian'''.
+||In this lesson: we will understand what a '''radian''' means and how to draw a '''radian''',
 |-

@@ Line 201: / Line 201: @@
 |-
 ||08:52
-||For an introduction on how to write text please refer to the tutorial '''angles and triangles basics'''.
+||For an introduction on how to write text please refer to the tutorial '''Angles and Triangles Basics'''.
 |-
@@ Line 213: / Line 213: @@
 |-
 ||10:10
-||Using what we have learned, show how the area of a sector will be '''Area = ½ a^2 θ'''.
+||Using what we have learned, show how the area of a sector will be '''Area = ½ a^2 θ'''
 |-

@@ Line 85: / Line 85: @@
 |-
 ||03:10
-||From the algebra view we can see that the circle is referred to as lower case '''c''', and the points between which we want to draw the '''arc (B,C)''' both in upper case.
+||From the '''Algebra View''' we can see that the circle is referred to as lower case '''c''' and the points between which we want to draw the '''arc (B,C)''' both in upper case.
 |-
 ||03:24
-||So we will type the command here '''Arc[c,B,c]''', and hit enter. Geogebra is case sensitive.
+||So we will type the command here '''Arc[c,B,C]''' and hit Enter. Geogebra is '''case sensitive'''.
 |-
 ||03:37
-||Now lets  change the color and thickness of the arc that we have joined from object properties here.
+||Now lets  change the color and thickness of the arc that we have joined, from object properties here.
 |-
 ||03:46
-||We will go to color, we define it as red. From style we increase the thickness.
+||We will go to Color, we define it as red. From Style, we increase the thickness.
 |-
 ||04:05
-||Notice that the arc is now appearing as a bold, red thick arc
+||Notice that the arc is now appearing as a bold, red thick arc.
 |-
 ||04:11
-||Now we  will draw two line segments AB and AC.We will again do this in two ways.
+||Now we  will draw two line segments AB and AC. We will again do this in two ways.
 |-
 ||04:17
-||We click on the '''segments between two points tool''' here, and click on '''A''' and '''B'''.This completes the segment '''AB'''.
+||We click on the '''Segments between Two Points''' tool here and click on '''A''' and '''B'''. This completes the segment '''AB'''.
 |-
@@ Line 117: / Line 117: @@
 |-
 ||04:40
-||Now we have completed the '''arc BC''', drawn segments '''AB''' and '''AC''', and the sector '''BAC'''
+||Now we have completed the '''arc BC''', drawn segments '''AB''' and '''AC''' and the sector '''BAC'''.
 |-
@@ Line 129: / Line 129: @@
 |-
 ||05:10
-||We will follow the standard angle naming convention when we define angles in geogebra as well.
+||We will follow the standard angle naming convention when we define angles in Geogebra as well.
 |-
 ||05:18
-||We notice that the value of '''α''' here subtended at the center is 66.78 degrees.
+||We notice that the value of '''α''' here, subtended at the center, is 66.78 degrees.
 |-
 ||05:30
-||Now one radian is defined to be the angle subtended at the center when the length of the arc subtending the angle is equal to the radius of the circle.
+||Now, "one radian is defined to be the angle subtended at the center when the length of the arc subtending the angle is equal to the radius of the circle".
 |-
 ||05:40
-||If we define the angle unit to be in radians, by going to the options here and defining '''angle units''' to be '''radians'''.
+||If we define the angle unit to be in radians, by going to the '''Options''' here and defining '''Angle Units''' to be '''Radians'''.
 |-
@@ Line 149: / Line 149: @@
 |-
 ||06:04
-||Notice that the '''arc''' length is d=5 units, and the value of α the angle subtended at the center is 1 rad.
+||Notice that the '''arc''' length is d=5 units and the value of '''α''', the angle subtended at the center, is 1 rad.
 |-
 ||06:17
-||We defined 1 rad, we also saw that, this is the angle that will be subtended when the arc length is equal to the radius.
+||We defined 1 rad, we also saw that this is the angle that will be subtended when the arc length is equal to the radius.
 |-
@@ Line 161: / Line 161: @@
 |-
 ||06:41
-||Now lets change the length of this arc to that of a semi circle, so the arc length is [π a], where '''a''' is the radius of the circle.
+||Now lets change the length of this arc to that of a semi circle, so the arc length is [π a] where '''a''' is the radius of the circle.
 |-
 ||06:53
-||Before that I will redefine the angle unit to be degrees because we want to find the value of 1 rad in degrees.
+||Before that, I will redefine the angle unit to be '''Degrees''' because we want to find the value of 1 rad in degrees.
 |-
@@ Line 177: / Line 177: @@
 |-
 ||07:27
-||So we notice from these two that the value of 1 rad will be 57.32 degrees.
+||So, we notice from these two that the value of 1 rad will be 57.32 degrees.
 |-
 ||07:35
-||Now we will understand the relation between '''arc''' length, '''radius''' and the angle subtended. For that we will define another angle value '''θ''' in radian by dividing the value of α/57.32.
+||Now we will understand the relation between '''arc''' length, radius and the angle subtended. For that, we will define another angle value '''θ''' in radian by dividing the value of α/57.32.
 |-
 ||08:03
-||Notice that the value of '''θ''' is actually the value of the angle in radian. However it appears with a degree symbol here because of a formatting difficulty.
+||Notice that the value of '''θ''' is actually the value of the angle in radian. However, it appears with a degree symbol here because of a formatting difficulty.
 |-
@@ Line 197: / Line 197: @@
 |-
 ||08:36
-||Now we will insert text in the geogebra window to introduce the formula that relates the arc length to the angle subtended.
+||Now we will insert text in the Geogebra window to introduce the formula that relates the arc length to the angle subtended.
 |-
 ||08:52
-||For an introduction on how to write text please refer to the tutorial angles and triangles basics.
+||For an introduction on how to write text please refer to the tutorial '''angles and triangles basics'''.
 |-
 ||09:34
-||Now notice that when i change the arc length you will notice that the value of '''θ''' changes,  and the relation between arc length and the angle subtended goes as d=r.θ where d is the arc length, r is the radius of the circle and  '''θ''' is the angle subtended at the center in radians.
+||Now, notice that when I change the arc length you will notice that the value of '''θ''' changes,  and the relation between arc length and the angle subtended goes as d=r.θ where 'd' is the arc length, 'r' is the radius of the circle and  'θ' is the angle subtended at the center in radians.
 |-
@@ Line 213: / Line 213: @@
 |-
 ||10:10
-||Using what we have learned, show how the area of a sector will be Area = ½ '''a2''' '''θ'''
+||Using what we have learned, show how the area of a sector will be '''Area = ½ a^2 θ'''.
 |-
 ||10:18
-||where '''a''' is the radius,'''θ''' is the angle subtended at the center in radian, and the formula is Area = ½ '''a2''' '''θ'''.
+||where '''a''' is the radius,'''θ''' is the angle subtended at the center in radians and the formula is '''Area''' = ½ '''a^2''' '''θ'''.
 |-
@@ Line 229: / Line 229: @@
 |-
 ||10:55
-||I would like to acknowledge the spoken tutorial project which is a part of talk to a teacher project supported by the National Mission on Education through ICT, MHRD, Government of India.
+||I would like to acknowledge the spoken tutorial project which is a part of talk to a teacher project, supported by the National Mission on Education through ICT, MHRD, Government of India.
 |-
 ||11:06
-||More information can be found here. thank you for joining me on this tutorial of geogebra. This is Ranjani Ranganathan.
+||More information can be found here. Thank you for joining me on this tutorial of Geogebra. This is Ranjani Ranganathan.
 |-
 |}

@@ Line 5: / Line 5: @@
 |-
 ||00:01
-||Hello. In this tutorial we will work on '''radians and sectors using Geogebra'''.
+||Hello. In this tutorial, we will work on '''radians and sectors using Geogebra'''.
 |-
 ||00:07
-||The objective of this tutorial is to introduce you to the Geogebra Input Bar and use of commands in the input bar through a lesson on radians.
+||The objective of this tutorial is to introduce you to the Geogebra '''Input Bar''' and use of '''commands''' in the input bar through a lesson on radians.
 |-
 ||00:15
-||Geogebra beginners , please refer to '''Introduction to Geogebra and Angles and Triangles Basics''' on the spoken-tutorial.org web site.
+||Geogebra beginners, please refer to '''Introduction to Geogebra''' and '''Angles and Triangles Basics''' on the spoken-tutorial.org web site.
 |-
 ||00:25
-||In this tutorial i have worked on Ubuntu version 10.04 LTS and Geogebra version 3.2.40.
+||In this tutorial, I have worked on '''Ubuntu version 10.04 LTS''' and '''Geogebra version 3.2.40.'''
 |-
 ||00:35
-||In this lesson we will understand what a '''radian''' means and how to draw a '''radian'''?
+||In this lesson: we will understand what a '''radian''' means and how to draw a '''radian'''.
 |-
 ||00:39
-||Understand the relationship between length of an '''arc''' and the angle it subtends.
+||understand the relationship between length of an '''arc''' and the angle it subtends
 |-
@@ Line 33: / Line 33: @@
 |-
 ||00:49
-||We will use the following tools in Geogebra- Circle with center and radius, circular arc with centre between two points and segment between two points
+||We will use the following tools in Geogebra- '''Circle with Center and Radius''', '''Circular Arc with Centre between Two Points''' and '''Segment between Two Points'''.
 |-
 ||01:00
-||The drawing commands can be used in another way by typing commands in the input bar as well.
+||The drawing commands can be used in another way by typing commands in the '''Input bar''' as well.
 |-
 ||01:11
-||In this geogebra window now we will draw a circle of radius 5 units using the circle with centre and radius.
+||In this Geogebra window, now we will draw a circle of radius 5 units using the '''Circle with Centre and Radius'''.
 |-
 ||01:18
-||I click on circle with center and radius, we choose the centre to be at origin, radius 5 units
+||I click on '''Circle with Center and Radius''', we choose the centre to be at origin, radius 5 units.
 |-
 ||01:28
-||I will now plot two points '''B''' and '''C''' on the circle
+||I will now plot two points '''B''' and '''C''' on the circle.
 |-
 ||01:36
-||Now we will complete an arc between these two points, I click on the circular arc with centre between two points to draw an arc.
+||Now we will complete an arc between these two points, I click on the '''Circular Arc with Centre between Two Points''' to draw an arc.
 |-
@@ Line 61: / Line 61: @@
 |-
 ||02:00
-||Now we will delete this arc and construct it another way.The arc can also be constructed by entering a command in the input bar here.
+||Now we will delete this arc and construct it another way. The arc can also be constructed by entering a command in the '''Input''' bar here.
 |-
 ||02:10
-||This rectangular box here is the input bar. There are 3 drop down boxes next to the input bar. Here you can introduce some functions, define some parameters and this is the command key in which you can complete drawings in the geogebra window here.
+||This rectangular box, here, is the '''Input''' bar. There are 3 drop down boxes next to the input bar. Here you can introduce some functions, define some parameters and this is the '''command''' key in which you can complete drawings in the Geogebra window here.
 |-
@@ Line 73: / Line 73: @@
 |-
 ||02:41
-||I click on '''arc''' you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit enter, the syntax for this command will appear here.
+||I click on '''arc''', you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit enter, the syntax for this command will appear here.
 |-

@@ Line 13: / Line 13: @@
 |-
 ||00:15
-||Geogebra beginners , please refer to Introduction to Geogebra and Angles and Triangles Basics on the spoken-tutorial.org web site.
+||Geogebra beginners , please refer to '''Introduction to Geogebra and Angles and Triangles Basics''' on the spoken-tutorial.org web site.
 |-
@@ Line 21: / Line 21: @@
 |-
 ||00:35
-||In this lesson we will understand what a radian means and how to draw a radian?
+||In this lesson we will understand what a '''radian''' means and how to draw a '''radian'''?
 |-
 ||00:39
-||Understand the relationship between length of an arc and the angle it subtends.
+||Understand the relationship between length of an '''arc''' and the angle it subtends.
 |-
@@ Line 69: / Line 69: @@
 |-
 ||02:30
-||Now i will start typing arc here, you will notice that it completed the command for me. I can also look up this command from the drop down box here.
+||Now i will start typing '''arc''' here, you will notice that it completed the command for me. I can also look up this command from the drop down box here.
 |-
 ||02:41
-||I click on arc you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit enter, the syntax for this command will appear here.
+||I click on '''arc''' you will notice that the command appears here, with square brackets. If I click in the middle of the square brackets and hit enter, the syntax for this command will appear here.
 |-
 ||02:57
-||The syntax that we will use for arc now is to define the circle and the two points.
+||The syntax that we will use for '''arc'' now is to define the circle and the two points.
 |-
 ||03:04
-||We will have to define the name of the circle and the two points between which we want the arc.
+||We will have to define the name of the circle and the two points between which we want the '''arc'''.
 |-
 ||03:10
-||From the algebra view we can see that the circle is referred to as lower case '''c''', and the points between which we want to draw the arc (B,C) both in upper case.
+||From the algebra view we can see that the circle is referred to as lower case '''c''', and the points between which we want to draw the '''arc (B,C)''' both in upper case.
 |-
 ||03:24
-||So we will type the command here Arc[c,B,c], and hit enter. Geogebra is case sensitive.
+||So we will type the command here '''Arc[c,B,c]''', and hit enter. Geogebra is case sensitive.
 |-
@@ Line 109: / Line 109: @@
 |-
 ||04:17
-||We click on the '''segments between two points tool''' here, and click on '''A''' and '''B'''.This completes the segment AB.
+||We click on the '''segments between two points tool''' here, and click on '''A''' and '''B'''.This completes the segment '''AB'''.
 |-
 ||04:28
-||We can also enter a command for the segment from the input bar. we will do Segment[A,C] to complete the segment AC.
+||We can also enter a command for the segment from the input bar. we will do '''Segment[A,C]''' to complete the segment '''AC'''.
 |-
 ||04:40
-||Now we have completed the arc BC, drawn segments AB and AC, and the sector BAC
+||Now we have completed the '''arc BC''', drawn segments '''AB''' and '''AC''', and the sector '''BAC'''
 |-
 ||04:47
-||We will now define the angle subtended at A by arc BC. we will call this angle '''α'''. We will choose it from the drop down box here.
+||We will now define the angle subtended at '''A''' by '''arc BC'''. we will call this angle '''α'''. We will choose it from the drop down box here.
 |-
 ||04:58
-||Angle command is angle[B,A,C].
+||Angle command is '''angle[B,A,C]'''.
 |-
@@ Line 141: / Line 141: @@
 |-
 ||05:40
-||If we define the angle unit to be in radians, by going to the options here and defining angle units to be radians.
+||If we define the angle unit to be in radians, by going to the options here and defining '''angle units''' to be '''radians'''.
 |-
 ||05:49
-||We will find that the value of α now is 1.17 rad. We will now change the arc length to bring it closer to 1 rad.
+||We will find that the value of α now is 1.17 rad. We will now change the '''arc''' length to bring it closer to 1 rad.
 |-
 ||06:04
-||Notice that the arc length is d=5 units, and the value of α the angle subtended at the center is 1 rad.
+||Notice that the '''arc''' length is d=5 units, and the value of α the angle subtended at the center is 1 rad.
 |-
@@ Line 169: / Line 169: @@
 |-
 ||07:03
-||We notice that when the arc length is [π a] that is a semi circle, the value of α is 180.21 degrees.
+||We notice that when the '''arc''' length is [π a] that is a semi circle, the value of α is 180.21 degrees.
 |-
@@ Line 181: / Line 181: @@
 |-
 ||07:35
-||Now we will understand the relation between arc length, radius and the angle subtended. For that we will define another angle value '''θ''' in radian by dividing the value of α/57.32.
+||Now we will understand the relation between '''arc''' length, '''radius''' and the angle subtended. For that we will define another angle value '''θ''' in radian by dividing the value of α/57.32.
 |-