PhET/C2/Graphing-Lines/English-timed - Revision history

Sandhya.np14 at 16:49, 10 August 2018

2018-08-10T16:49:46Z

Sandhya.np14 at 15:18, 10 August 2018

2018-08-10T15:18:09Z

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Madhurig at 13:25, 7 August 2018

2018-08-07T13:25:29Z

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Pratik kamble: Created page with "{|border=1 ||'''Time''' ||'''Narration''' |- |00:01 | Welcome to this tutorial on '''Graphing Lines simulation'''. |- |00:05 | In this tutorial, we will demonstrate, '''G..."

2018-08-03T07:31:00Z

Created page with "{|border=1 ||'''Time''' ||'''Narration''' |- |00:01 | Welcome to this tutorial on '''Graphing Lines simulation'''. |- |00:05 | In this tutorial, we will demonstrate, '''G..."

New page

{|border=1
||'''Time'''
||'''Narration'''

|-
|00:01
| Welcome to this tutorial on '''Graphing Lines simulation'''.

|-
|00:05
| In this tutorial, we will demonstrate, '''Graphing Lines, '''an interactive PhET simulation.

|-
|00:12
| To follow this tutorial,

Learner should be familiar with topics in high school mathematics.

|-
|00:20
| Here I am using,

Ubuntu Linux OS version 14.04

Java version 1.7

Firefox Web Browser version 53.02.2

|-
|00:35
| Using this simulation we will learn,

About Cartesian coordinate system

How to calculate the slope of a graphed line

To save the plotted lines

|-
|00:48
|How to change the slope and intercept of the line

How, changing variables in a linear equation will affect the line.

|-
|00:58
| An equation with two variables x and y is a Linear equation. y=mx+b Here m is slope of the line and b is intercept.

|-
|01:12
| Slope signifies rate of change of y value with respect to x value. y-intercept is y value when x=0

|-
|01:26
| Let us begin the demonstration.

|-
|01:29
| Use the given link to download the simulation.

|-
|01:33
| I have already downloaded '''Graphing Lines '''simulation to my '''Downloads''' folder.

|-
|01:39
| To open the simulation, right click on '''graphing-lines_en.html''' file.

Select the option, '''Open With Firefox Web Browser'''.

File opens in the browser.

|-
|01:53
| This is the interface of '''Graphing Lines''' simulation.

|-
|01:57
|The interface has four screens,

'''Slope'''

'''Slope-Intercept'''

'''Point-Slope''' and

'''Line Game'''.

|-
|02:06
| Click on '''Slope''' screen.

|-
|02:10
|Screen has a Cartesian coordinate system with x and y axes.

|-
|02:16
| On the right side, formula box shows formula to find slope of the line.

|-
|02:23
|To calculate the slope, we can input values for y2, y1 and x2, x1.

|-
|02:31
| Default values of y2, y1 are 4 and 2. And x2, x1 are 3 and 1.

|-
|02:41
| A graph is plotted using the default values. Here we can see, Slope is 1.

|-
|02:49
| We can change the values of y2, y1 and x2, x1 using up and down arrow buttons.

|-
|02:57
| Plotted line can be saved using '''Save Line''' button.

|-
|03:02
|We can hide the formula box, by clicking on red minus sign. To show the box click on green plus button.

|-
|03:11
| Below the formula box, we have '''Slope''', '''Hide lines''' and '''Hide grid''' check boxes.

|-
|03:19
| If we click on, '''Hide lines''' and '''Hide grid''' check boxes, graph and grid are hidden. Automatically, '''Slope''' check box is disabled.

|-
|03:32
|Let's uncheck '''Hide lines''' and '''Hide grid''' check boxes to enable '''Slope''' check box.

|-
|03:40
| Notice that '''Graph''' displays value of the slope. Observe that on moving purple and yellow points, x1, y1 and x2, y2 values can be changed.

|-
|03:54
|As we move the points, slope of the line changes. Observe the change in values of x and y in the formula box.

|-
|04:04
| At the bottom of the screen, we have gray boxes to display coordinates of a point. These gray boxes are called as '''Point''' tools.

|-
|04:14
|Drag and place '''Point''' tools on purple and yellow points to see the coordinates.

|-
|04:20
|Drag the '''Point''' tools to the bottom.

|-
|04:24
| Drag the purple point to coincide with origin (0, 0). Drag one of the '''Point''' tool and place it on the origin.

|-
|04:33
|Drag yellow point to coincide with (5,5). Observe that slope of the line is 1.

|-
|04:42
| Click on '''Save Line''' button in the formula box. Line is saved.

|-
|04:49
| Drag the yellow point to (2,8). Drag the point tool and place it on yellow point.
This confirms that yellow point is at(2,8).

|-
|05:02
|Now '''Slope is 4.'''

|-
|05:05
| Click on '''Save Line''' in the formula box. Line is saved.

|-
|05:11
| Drag the yellow point to (-5,5). Drag and place Point tool on yellow point.

|-
|05:19
|Now '''Slope is -1'''.

|-
|05:22
|Click on '''Save Line''' in the formula box. Line is saved.

|-
|05:28
|Drag the point tool back to place. Drag the yellow point to (-2,8).

|-
|05:36
|Here '''Slope is -4'''.

|-
|05:39
| Click on '''Save Line'''. Line is saved

|-
|05:44
| We have drawn 4 lines with different slopes. Notice that steepness is related to slope.

|-
|05:53
| As an assignment,

Find when slope is zero and when it is undefined.

Give an explanation.

|-
|06:04
| Now let us explore '''Slope-Intercept''' screen at the bottom of the interface.

|-
|06:10
||Click on '''Slope-Intercept''' screen. Screen opens with a line y= 2/3x+1.

|-
|06:21
|Here intercept value is 1.

|-
|06:25
| In this screen we can change the values of 'm' and 'b'.

|-
|06:30
| Drag the purple point on y axis. Notice that purple point represents the intercept. When we move the purple point, intercept for the line changes.

|-
|06:44
| The blue point is free to move across the graph. When we move the blue point, slope of the line changes.

|-
|06:53
| Click on '''Reset''' button to reset the simulation. Click on '''Save Line'''. Line is saved.

|-
|07:02
|Change the numerator value of '''m''' from 2 to 3 in the formula box. Notice that slope is 1 while '''Intercept''' still remains 1.

|-
|07:14
| Now adjust '''m''' again to 2/3 and increase b value to 4. Notice that, the new line is parallel to the first line but intercepts y-axis at 4.

|-
|07:31
| Click on '''Save Line'''. Line is saved.

|-
|07:35
| Change '''b''' value to -2 Click on '''Save Line'''. Line is saved.

|-
|07:43
|We have 3 parallel lines intercepting y axis at 3 different points.

|-
|07:50
| Click on '''Reset''' button to reset the simulation.

|-
|07:55
|Let us change b value to zero. Notice that purple point is at the origin.

|-
|08:03
|Line now passes through the origin.

|-
|08:06
|Click on '''y=x''' and '''y=-x''' check boxes below the slope. Notice that we have three lines passing through the origin.

|-
|08:19
| Now let us now move on to '''Point-Slope''' screen.

|-
|08:23
| Click on '''Point-Slope''' at the bottom of the interface.

|-
|08:28
|In '''Point-Slope''' screen, a set of (x,y) values are substituted in the equation. In this method, x and y values are defined.

|-
|08:41
| For a given value of (x, y), '''m''' can be calculated using the formula, '''y-y1 = m(x-x1)'''

|-
| 08:53
|The Generic point '''(x1,y1)''' is represented by the purple point.

|-
|08:59
|Drag the '''Point''' tool to the purple point to see its coordinates.

|-
|09:04
|Drag the '''Point''' tool back to its place.

|-
|09:07
| Drag the purple and blue points freely across the graph to modify the equation of the line.
Drag and place purple point to (5,0).

|-
|09:20
|Then drag the blue point to (5,5).

|-
|09:24
| Notice that line is parallel to y-axis and slope is undefined.

|-
|09:31
|Click on '''Save line'''. Line is saved.

|-
|09:35
|Drag the purple point along the x-axis. Notice that '''Slope''' is undefined all along the x-axis.

|-
|09:45
|Now let us move on to '''Line Game''' screen.

|-
|09:49
| Click on '''Line Game''' screen.

|-
|09:52
| '''Line Game''' screen has 6 difficulty levels, to play. These games will test the knowledge gained using this simulation.

|-
|10:02
|It has a '''Timer''' and '''Sound''' buttons at the bottom of the screen.

|-
|10:08
|Click on each game and explore.

|-
|10:20
| Lets summarize.

|-
|10:22
|In this tutorial, we have learnt,

About '''Graphing Lines''', an interactive '''PhET''' simulation.

|-
|10:29
| Using this simulation, we have learnt,

About Cartesian coordinate system with x and y axes.

How to calculate the slope of a graphed line.

To save the plotted lines

|-
|10:43
|How to change the slope and intercept of the line

|-
|10:47
| How changing variables in a linear equation will affect the line.

|-
|10:53
| As an assignment

1. Using '''Slope-Intercept''' screen, find when the value of slope is 1.

2. Using '''Point-Slope''' screen, find in which quadrants slope is positive.

|-
|11:09
| The video at the following link summarizes the Spoken Tutorial project. Please download and watch it.

|-
|11:17
|The '''Spoken Tutorial Project '''team: conducts workshops using spoken tutorials and
gives certificates on passing online tests. For more details, please write to us.

|-
|11:29
| Please post your timed queries in this forum.

|-
|11:32
| This project is partially funded by Pandit Madan Malaviya National Mission on Teachers and Teaching.

|-
|11:41
| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. More information on this mission is available at this link.

|-
|11:53
| This tutorial is contributed by Spoken tutorial team IIT Bombay. Thank you for joining.

|}

@@ Line 216: / Line 216: @@
 |-
 |06:10
-||Click on '''Slope-Intercept''' screen. Screen opens with a line y= 2/3x+1.
+||Click on '''Slope-Intercept''' screen. Screen opens with a line y= 2/3x+1 (2 by 3 x plus 1).
 |-
 |06:21
@@ Line 223: / Line 223: @@
 |-
 |06:25
-| In this screen, we can change the values of 'm' and 'b'.
+| In this '''screen''', we can change the values of 'm' and 'b'.
 |-
 |06:30
-| Drag the purple point on y axis. Notice that purple point represents the intercept.
+| Drag the purple point on y-axis. Notice that purple point represents the intercept.
-−
 When we move the purple point, intercept for the line changes.
@@ Line 234: / Line 233: @@
 |06:44
 | The blue point is free to move across the graph.
 When we move the blue point, slope of the line changes.
@@ Line 240: / Line 238: @@
 |06:53
 | Click on '''Reset''' button to reset the simulation.
 Click on '''Save Line'''. Line is saved.
@@ Line 246: / Line 243: @@
 |07:02
 |Change the numerator value of '''m''' from 2 to 3 in the formula box.
 Notice that slope is 1 while '''Intercept''' still remains 1.
@@ Line 253: / Line 249: @@
 | Now adjust '''m''' again to 2/3 and increase b value to 4.
-Notice that, the new line is parallel to the first line but intercepts y-axis at 4.
+Notice that the new line is parallel to the first line but intercepts y-axis at 4.
 |-
@@ Line 261: / Line 257: @@
 |-
 |07:35
-| Change '''b''' value to -2 Click on '''Save Line'''. Line is saved.
+| Change '''b''' value to -2, click on '''Save Line'''. Line is saved.
 |-
 |07:43
-|We have 3 parallel lines intercepting y axis at 3 different points.
+|We have 3 parallel lines intercepting y-axis at 3 different points.
 |-
@@ Line 273: / Line 269: @@
 |-
 |07:55
-|Let us change b value to zero. Notice that purple point is at the origin.
+|Let us change '''b''' value to zero. Notice that purple point is at the origin.
 |-
@@ Line 287: / Line 283: @@
 |-
 |08:19
-| Now let us now move on to '''Point-Slope''' screen.
+| Now, let us now move on to '''Point-Slope''' screen.
 |-
@@ Line 305: / Line 301: @@
 |-
 | 08:53
-|The Generic point '''(x1,y1)''' is represented by the purple point.
+|The Generic point '''(x1, y1)''' is represented by the purple point.
 |-
 |08:59
-|Drag the '''Point''' tool to the purple point to see its coordinates.
+|Drag the '''Point''' tool to the purple point, to see its coordinates.
 |-
@@ Line 341: / Line 337: @@
 |-
 |09:45
-|Now let us move on to '''Line Game''' screen.
+|Now, let us move on to '''Line Game''' screen.
 |-
@@ Line 349: / Line 345: @@
 |-
 |09:52
-| '''Line Game''' screen has 6 difficulty levels, to play.
+| '''Line Game''' screen has 6 difficulty levels to play.
 These games will test the knowledge gained using this simulation.
@@ Line 367: / Line 363: @@
 |-
 |10:22
-|In this tutorial, we have learnt,
+|In this tutorial, we have learnt about '''Graphing Lines''', an interactive '''PhET simulation'''.
-−
-About '''Graphing Lines''', an interactive '''PhET simulation'''.
 |-
 |10:29
-| Using this simulation, we have learnt,
+| Using this simulation, we have learnt:
 . About Cartesian coordinate system with x and y axes.
@@ Line 379: / Line 373: @@
 . How to calculate the slope of a graphed line.
-. To save the plotted lines
+. To '''save''' the plotted lines
 |-
@@ Line 387: / Line 381: @@
 |-
 |10:47
-|5. How changing variables in a linear equation will affect the line.
+|5. How changing variables in a '''linear''' equation will affect the line.
 |-
 |10:53
-| As an assignment,
+| As an assignment:
 . Using '''Slope-Intercept''' screen, find when the value of slope is 1.
@@ Line 399: / Line 393: @@
 |-
 |11:09
-| The video at the following link summarizes the Spoken Tutorial project. Please download and watch it.
+| The video at the following link summarizes the '''Spoken Tutorial''' project. Please download and watch it.
 |-
 |11:17
-|The Spoken Tutorial Project team: conducts workshops using spoken tutorials and
+|The '''Spoken Tutorial''' Project team conducts workshops using spoken tutorials and
 gives certificates on passing online tests. For more details, please write to us.
@@ Line 416: / Line 410: @@
 |-
 |11:41
-| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. More information on this mission is available at this link.
+| Spoken Tutorial Project is funded by '''NMEICT, MHRD,''' Government of India. More information on this mission is available at this link.
 |-
 |11:53
-| This tutorial is contributed by Spoken tutorial team IIT Bombay. Thank you for joining.
+| This tutorial is contributed by Spoken tutorial team, IIT Bombay. Thank you for joining.
 |-
 |}