Snehalathak at 11:12, 17 August 2021

2021-08-17T11:12:08Z

Madhurig at 06:00, 26 May 2021

2021-05-26T06:00:42Z

Madhurig: Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- || '''Slide Number 1''' '''Title Slide''' || Welcome to this tutorial on '''Graphing Lines simulation'''. |- || '''Sl..."

2021-05-06T07:58:10Z

Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- || '''Slide Number 1''' '''Title Slide''' || Welcome to this tutorial on '''Graphing Lines simulation'''. |- || '''Sl..."

New page

{|border=1
||'''Visual Cue'''
||'''Narration'''
|-
|| '''Slide Number 1'''

'''Title Slide'''
|| Welcome to this tutorial on '''Graphing Lines simulation'''.

|-
|| '''Slide Number 2'''

'''Learning Objectives'''

Demonstrate an interactive PhET simulation, Graphing Lines
|| In this tutorial, we will demonstrate, '''Graphing Lines, '''an interactive PhET simulation.

|-
|| '''Slide Number 3'''

'''Pre-requisites'''
|| To follow this tutorial,

Learner should be familiar with topics in high school mathematics.
|-
|| '''Slide Number 4'''

'''System Requirements'''

Ubuntu Linux OS version 14.04

Java version 1.7.0

Firefox Web Browser 53. 02.2
|| Here I am using,

Ubuntu Linux OS version 14.04

Java version 1.7

Firefox Web Browser version 53.02.2

|-
|| '''Slide Number 5 '''

'''Learning Goals'''

|| Using this simulation we will learn,

About Cartesian coordinate system

How to calculate the slope of a graphed line

To save the plotted lines
|-
|| '''Slide Number 6'''

'''Learning Goals'''
||How to change the slope and intercept of the line

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

|-
|| '''Slide Number 7'''

'''Linear Equation'''

y=mx+b

point to m and b.

|| 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.

Slope signifies rate of change of y value with respect to x value.

y-intercept is y value when x=0

|-
||
|| Let us begin the demonstration.

|-
|| Slide Number 8

'''Link for PhET simulation'''

http://phet.colorado.edu/
|| Use the given link to download the simulation.

|-
|| Point to the file in Downloads folder.
|| I have already downloaded '''Graphing Lines '''simulation to my '''Downloads''' folder.

|-
|| Right click on '''graphing-lines_en.html''' file.

Select Open With Firefox Web Browser option.

Point to the browser address.
|| 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.

|-
|| Cursor on the interface.
|| This is the interface of '''Graphing Lines''' simulation.

|-
|| Point to each screen.
|| The interface has four screens,

'''Slope'''

'''Slope-Intercept'''

'''Point-Slope''' and

'''Line Game'''.
|-
|| Click on '''Slope''' screen.
|| Click on '''Slope''' screen.

|-
|| Point to the graph.
|| Screen has a Cartesian coordinate system with x and y axes.

|-
|| Point to the formula box

|| On the right side, formula box shows formula to find slope of the line.
|-
||point to the input buttons.

Point to the default values.

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

Default values of y2, y1 are 4 and 2.

And x2, x1 are 3 and 1.
|-
||Point to the graph and slope.
||A graph is plotted using the default values.

Here we can see, '''Slope is 1'''.

|-
|| Point to the buttons.
|| We can change the values of y2, y1 and x2, x1 using up and down arrow buttons.
|-
|| Point to the '''Save Line''' option

Point to '''Erase Lines''' option.
|| Plotted line can be saved using '''Save Line''' button.
|-
||Click on the red minus sign.

Click on green plus button.
||We can hide the formula box, by clicking on red minus sign.

To show the box click on green plus button.

|-
|| Point to Slope, Hide lines, Hide grid check boxes.
|| Below the formula box, we have '''Slope''', '''Hide lines''' and '''Hide grid''' check boxes.

|-
|| Point to the check boxes.

|| If we click on, '''Hide lines''' and '''Hide grid''' check boxes, graph and grid are hidden.

Automatically, '''Slope''' check box is disabled.
|-
||Uncheck, Hide lines and Hide grid check boxes
||Let's uncheck '''Hide lines''' and '''Hide grid''' check boxes to enable '''Slope''' check box.

|-
|| Point to the Graph and slope.
|| 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.
|-
||
Point to purple and yellow points on the line.

Click and drag them on the line.
||As we move the points, slope of the line changes.

Observe the change in values of x and y in the formula box.

|-
|| Point to the '''Point''' tools (gray boxes displaying point co-ordinates).

|| At the bottom of the screen, we have gray boxes to display coordinates of a point.

These gray boxes are called as '''Point''' tools.
|-
||Drag and place the '''Point''' tools on purple and yellow points.

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

|-
|| Drag the purple point.

Drag one of the '''Point''' tool
|| Drag the purple point to coincide with origin (0, 0).

Drag one of the '''Point''' tool and place it on the origin.
|-
||Drag yellow point

Point to slope.
||Drag yellow point to coincide with (5,5).

Observe that slope of the line is 1.

|-
|| Click on '''Save Line''' button.
|| Click on '''Save Line''' button in the formula box.

Line is saved.

|-
|| Drag the yellow point to (2,8).

Drag the point tool and place it on yellow point.
|| 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).
|-
||Point to Slope
||Now '''Slope is 4.'''

|-
|| Click on '''Save Line''' in right panel.
|| Click on '''Save Line''' in the formula box.

Line is saved.

|-
|| Drag the yellow point to (-5,5).

Drag the point tool.
|| Drag the yellow point to (-5,5).

Drag and place Point tool on yellow point.
|-
||Point to Slope
||Now '''Slope is -1'''.

|-
|| Click on '''Save Line''' in right panel.
|| Click on '''Save Line''' in the formula box.

Line is saved.

|-
|| Drag the yellow point to (-2,8) x=-2, y=8

Point to the slope.
|| Drag the point tool back to place.

Drag the yellow point to (-2,8).
|-
||Point to Slope
||Here '''Slope is -4'''.

|-
|| Click '''Save Line'''.
|| Click on '''Save Line'''.

Line is saved
|-
|| Notice the 6 lines in graph, on left panel.
|| We have drawn 4 lines with different slopes.

Notice that steepness is related to slope.
|-
|| '''Slide Number 9'''

'''Assignment '''
| | As an assignment,

Find when slope is zero and when it is undefined.

Give an explanation.
|-
|| Cursor on '''Slope-Intercept''' screen.
|| Now let us explore '''Slope-Intercept''' screen at the bottom of the interface.
|-
||Click on '''Slope-Intercept''' screen.

Point to the line.
||Click on '''Slope-Intercept''' screen.

Screen opens with a line y= 2/3x+1.
|-
||Point to intercept.
||Here intercept value is 1.

|-
|| Point to m and b.
|| In this screen we can change the values of 'm' and 'b'.

|-
|| Drag the purple point on the line.

Point to 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.
|-
|| Move the blue point on the line.

Point to the blue point.
|| The blue point is free to move across the graph.

When we move the blue point, slope of the line changes.
|-
|| Click on '''Reset''' button.

Click on '''Save Line'''
|| Click on '''Reset''' button to reset the simulation.

Click on '''Save Line'''. Line is saved.
|-
|| Change the value to 3.

Drag the '''Point''' tool to the blue point.

Point to slope and intercept.
|| Change the numerator value of '''m''' from 2 to 3 in the formula box.

Notice that slope is 1 while '''Intercept''' still remains 1.

|-
|| Point the line.

Point to the '''intercept'''.

Click on '''Save Line'''

|| 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.

Click on '''Save Line'''.
|-
||Point to saved line.
||Line is saved.

|-
|| Point to the line.

Click on '''Save Line''' in the formula box.

|| Change '''b''' value to -2

Click on '''Save Line'''.

Line is saved.
|-
||Point to 3 parallel lines with different points.
||We have 3 parallel lines intercepting y axis at 3 different points.
|-
|| Click on '''Reset''' button.
|| Click on '''Reset''' button to reset the simulation.
|-
|| Point to b value.

Point to the line.

|| Let us change b value to zero.

Notice that purple point is at the origin.
|-
||Point to the origin.
||Line now passes through the origin.
|-
||Click on '''y=x''' and '''y=-x''' check boxes.

Point to the lines.
||Click on '''y=x''' and '''y=-x''' check boxes below the slope.

Notice that we have three lines passing through the origin.
|-
|| Point to '''Point-Slope''' screen.
|| Let us now move on to '''Point-Slope''' screen.

|-
|| Click on '''Point-Slope''' at the bottom of the screen.
|| Click on '''Point-Slope''' at the bottom of the interface.
|-
||Cursor on the screen.
||In '''Point-Slope''' screen, a set of (x,y) values are substituted in the equation.

In this method, x and y values are defined.

|-
|| point to the formula box.

|| For a given value of (x, y), '''m''' can be calculated using the formula, '''y-y1 = m(x-x1)'''
|-
||Point to purple point and drag the point tool to see co-ordinates.
||The Generic point '''(x1,y1)''' is represented by the purple point.
|-
||Drag the '''Point''' tool to the purple point
||Drag the '''Point''' tool to the purple point to see its coordinates.
|-
||Drag the '''Point''' tool back to its place.
||Drag the '''Point''' tool back to its place.
|-
|| Demonstrate moving line.

Point the red cross mark in the formula box.
|| 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).
|-
||Drag the blue point to (5,5).
||Then drag the blue point to (5,5).
|-
|| Point to y-axis and slope.
|| Notice that line is parallel to y-axis and slope is undefined.
|-
||Click on '''Save line'''.
||Click on '''Save line'''. Line is saved.
|-
||Drag the purple point along the x-axis.

Point to '''Slope''' .
||Drag the purple point along the x-axis.

Notice that '''Slope''' is undefined all along the x-axis.
|-
|| move the cursor to '''Line Game''' screen.
|| Now let us move on to '''Line Game''' screen.

|-
|| Go to '''Line Game''' tab

Point to the levels.
|| Click on '''Line Game''' screen.

'''Line Game''' screen has 6 difficulty levels, to play.

These games will test the knowledge gained using this simulation.
|-
||Point to '''Timer''' and '''Sound''' buttons
||It has a '''Timer''' and '''Sound''' buttons at the bottom of the screen.
|-
||Click on each game >> explore.
||Click on each game and explore.

|-
|| '''Slide Number 10'''

'''Summary'''

|| Lets summarize.

In this tutorial, we have learnt,

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

|-
|| '''Slide Number 11'''

'''Summary'''
|| 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
|-

|| '''Slide Number 12'''

'''Summary'''
||
How to change the slope and intercept of the line

How changing variables in a linear equation will affect the line.
|-
|| '''Slide Number 13'''
|| 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.

|-
|| '''Slide Number 14'''

'''About the Spoken Tutorial Project'''

|| The video at the following link summarizes the Spoken Tutorial project.

Please download and watch it.

|-
|| '''Slide Number 15'''

'''Spoken Tutorial workshops'''
|| The '''Spoken Tutorial Project '''team:

conducts workshops using spoken tutorials and

gives certificates on passing online tests.

For more details, please write to us.
|-
|| '''Slide Number 16'''

'''Forum for specific questions:'''

Do you have questions in THIS Spoken Tutorial?

Please visit this site

Choose the minute and second where you have the question

Explain your question briefly

Someone from our team will answer them

|| Please post your timed queries in this forum.

|-
|| '''Slide Number 17'''

'''Acknowledgement'''
|| This project is partially funded by Pandit Madan Malaviya National Mission on Teachers and Teaching.

|-
|| '''Slide Number 18'''

'''Acknowledgement'''
|| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India.

More information on this mission is available at this link.
|-
||
|| This tutorial is contributed by Spoken tutorial team IIT Bombay.

Thank you for joining.
|-
|}

@@ Line 502: / Line 502: @@
 |-
 || '''Slide Number 13'''
 || As an assignment

@@ Line 239: / Line 239: @@
 Drag the point tool and place it on yellow point.
-This confirms that yellow point is at(2,8).
+This confirms that yellow point is at (2,8).
 |-
 ||Point to Slope
@@ Line 313: / Line 313: @@
 |-
 || Point to m and b.
-|| In this screen we can change the values of 'm' and 'b'.
+|| In this screen, we can change the values of 'm' and 'b'.
 |-
@@ Line 320: / Line 320: @@
 Point to the intercept.
-|| Drag the purple point on y axis.
+|| Drag the purple point on y-axis.
 Notice that purple point represents the intercept.
@@ Line 344: / Line 344: @@
 Drag the '''Point''' tool to the blue point.
-Point to  slope and intercept.
+Point to slope and intercept.
 || Change the numerator value of '''m''' from 2 to 3 in the formula box.
@@ Line 378: / Line 378: @@
 |-
 ||Point to 3 parallel lines with different points.
-||We have 3 parallel lines intercepting y axis at 3 different points.
+||We have 3 parallel lines intercepting y-axis at 3 different points.
 |-
 || Click on '''Reset''' button.
@@ Line 418: / Line 418: @@
 || For a given value of (x, y), '''m''' can be calculated using the formula, '''y-y1 = m(x-x1)'''
 |-
-||Point to purple point and drag the point tool to see co-ordinates.
+||Point to purple point and drag the point tool to see coordinates.
 ||The Generic point '''(x1,y1)''' is represented by the purple point.
 |-
@@ Line 474: / Line 474: @@
 '''Summary'''
-|| Lets summarize.
+|| let us summarize.
 In this tutorial, we have learnt,
@@ Line 486: / Line 486: @@
 || Using this simulation, we have learnt,
-About Cartesian coordinate system with x and y axes.
+* About Cartesian coordinate system with x and y axes.
-How to calculate the slope of a graphed line.
+* How to calculate the slope of a graphed line.
-To save the plotted lines
+* To save the plotted lines
 |-
@@ Line 497: / Line 497: @@
 '''Summary'''
 ||
-How to change the slope and intercept of the line
+* How to change the slope and intercept of the line
-How changing variables in a linear equation will affect the line.
+* How changing variables in a linear equation will affect the line.
 |-
 || '''Slide Number 13'''

PhET-Simulations-for-Mathematics/C2/Graphing-Lines/English - Revision history

Snehalathak at 11:12, 17 August 2021

Madhurig at 06:00, 26 May 2021

Madhurig: Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- || '''Slide Number 1''' '''Title Slide''' || Welcome to this tutorial on '''Graphing Lines simulation'''. |- || '''Sl..."