PhET/C2/Equation-Grapher/English - Revision history

Madhurig at 12:22, 18 September 2018

2018-09-18T12:22:22Z

Vidhya at 08:43, 17 September 2018

2018-09-17T08:43:09Z

Madhurig at 07:21, 17 September 2018

2018-09-17T07:21:01Z

Madhurig at 07:08, 17 September 2018

2018-09-17T07:08:31Z

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Vidhya: Created page with " {|border=1 | | '''Visual Cue''' | | '''Narration''' |- | | '''Slide Number 1''' '''Title Slide''' | | Welcome to this tutorial on ''' Equation Grapher'''. |- | | '''Slide N..."

2018-09-03T06:21:31Z

Created page with " {|border=1 | | '''Visual Cue''' | | '''Narration''' |- | | '''Slide Number 1''' '''Title Slide''' | | Welcome to this tutorial on ''' Equation Grapher'''. |- | | '''Slide N..."

New page

{|border=1
| | '''Visual Cue'''
| | '''Narration'''

|-
| | '''Slide Number 1'''

'''Title Slide'''
| | Welcome to this tutorial on ''' Equation Grapher'''.
|-
| | '''Slide Number 2'''

'''Learning Objectives'''

We will demonstrate '''PhET simulation,'''

'''Equation Grapher'''
| | In this tutorial, we will demonstrate '''Equation Grapher PhET simulation'''.
|-
| | '''Slide Number 3'''

'''System Requirements'''

'''Ubuntu Linux OS''' version 16.04

'''Java''' version 1.8.0

'''Firefox Web Browser''' 60.0.2
| | Here I am using,

'''Ubuntu Linux OS''' version 16.04

'''Java''' version 1.8.0

'''Firefox Web Browser''' version 60.0.2
|-
| | '''Slide Number 4'''

'''Pre-requisites'''
| | Learner should be familiar with topics in high school mathematics.
|-
| | '''Slide Number 5'''

'''Learning Goals'''

Lines '''y = bx + c''' and '''y = c'''

'''Quadratic polynomials''' '''y = ax2 + bx + c'''

| | Using this '''simulation''' we will look at,

Lines of the form '''y = bx + c''' and '''y = c'''

'''Quadratic polynomials''' '''y equals ax squared plus bx plus c'''
|-
| | '''Slide Number 6'''

'''Binomial Theorem'''

'''Binomial theorem''' states that if ''a, b'' ∈ ℝ, index ''n'' is a positive '''integer''', ''0 ≤ r ≤n, then,''

''(a + b)n <nowiki>= </nowiki>nC0 an + nC1 an-1 b1 + nC2 an-2 b2 + … + nCr an-r br + … + nCn bn''

'''Reminder:''''' nC1 = n!/[1! (n-1)!]''
| | '''Binomial Theorem'''

'''''a''''' and '''''b''''' are '''real numbers''', '''index''' '''''n''''' is a '''positive integer'''.

'''''r''''' lies between 0 and '''''n'''''. Then,

'''Binomial theorem''' states that '''a''' plus '''b''' raised to '''n''' can be expanded as shown.
|-
| | '''Slide Number 7'''

'''Link for PhET simulation'''

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

[http://phet.colorado.edu/ http://phet.colorado.edu]
|-
| |
| | I have already downloaded '''Equation Grapher''' simulation to my '''Downloads''' folder.
|-
| | Press Ctrl+Alt+T to open the terminal.

Type '''cd Downloads''' >> press '''Enter'''.

Type '''java space hyphen jar space equation-grapher_en.jar'''.

Point to the opened '''file format'''.
| | To open the '''jar file''', open the '''terminal'''.

At the '''terminal prompt''', type '''cd Downloads''' and press '''Enter'''.

Type '''java space hyphen jar space equation-grapher_en.jar'''.

Press '''Enter'''.

'''File''' opens in the '''browser''' in '''html format'''.
|-
| | Cursor on the '''interface'''.
| | This is the '''interface''' for the '''Equation Grapher''' simulation.
|-
| | Point to the '''interface'''.

Point to the first quadrant.

Point to the quadratic function, '''y = ax2 + bx + c'''.

Point to the '''sliders''' and '''display boxes'''.

Point to the red '''Zero button'''.

Point to the green '''Save button'''.

Point to the equation.
| | The interface shows '''Cartesian co-ordinate system''' of '''x''' and '''y axes'''.

The first '''quadrant''' contains:

The red-colored''' quadratic equation''', '''y equals ax squared plus bx plus c'''

Three '''sliders''' and '''display boxes''' under '''ax2, bx''' and '''c'''

The '''sliders''' allow you to change the values of the '''coefficients, a, b''' and '''c'''.

The '''display boxes''' show these values and can be used to enter values.

A red '''Zero button''' to set all '''sliders''' at '''0'''

A green '''Save button''' to save the '''equation'''

The updated '''equation''' in red is shown below the '''sliders'''.
|-
| | Point to the fourth '''quadrant'''.

Point to the '''quadratic equation'''.

Point to the '''check boxes'''.

Point to the violet, green and blue terms.

| | The fourth '''quadrant''' contains the

'''quadratic''' equation '''y = ax2+bx+c'''

three '''check boxes''' under '''ax2, bx''' and '''c'''

Note that the '''ax squared''' term is violet, '''bx''' is green and '''c''' is blue.
|-
| | In the first '''quadrant''', in the '''display box''' below '''ax2''', type 1.

Point to the '''slider''' under '''ax2'''.
| | In the first '''quadrant''', in the '''display box''' below '''ax squared''', type 1.

Observe how the '''slider''' under '''ax squared''' also moves to 1.
|-
| | Point to the red parabola and origin '''(0,0)'''.
| | A red parabola with vertex at origin '''0 comma 0''' appears in the window.

It opens upwards.
|-
| | In the first '''quadrant''', in the '''display box''' below '''bx''', type 1
| | In the first '''quadrant''', in the '''display box''' below '''bx''', type 1.
|-
| | Point to the parabola.
| | Observe how the parabola shifts downwards and to the left.
|-
| | In the first '''quadrant''', in the display '''box''' below '''c''', type 1.
| | In the first '''quadrant''', in the '''display box''' below '''c''', type 1.
|-
| | Point to the parabola.
| | Observe how the parabola moves upwards.
|-
| | In the fourth '''quadrant''', check the box below the violet colored '''ax2''' term.
| | In the fourth '''quadrant''', check the box below the violet colored '''ax squared''' term.
|-
| | Point to the violet and red parabolas.

Point to the equation.
| | A violet parabola appears next to the red parabola.

This violet parabola corresponds to the '''y equals ax squared''' part of the red equation.
|-
| | Point to the equation, '''y = x2''', in the first '''quadrant'''.
| | The equation for the violet parabola is '''y equals x squared'''.
|-
| | Now, check the box below the green '''bx''' term in the fourth '''quadrant'''.
| | Now, in the fourth '''quadrant''', check the box below the green '''bx''' term.
|-
| | Point to the green line.

Point to the origin '''(0,0)'''.

Point to the equation, '''y = x''', in the first '''quadrant'''.
| | Observe how a green line appears in the '''Cartesian plane'''.

It passes through the origin '''0 comma 0'''.

It corresponds to the '''x''' term and its equation is '''y equals x'''.
|-
| | Now, check the box below the blue '''c''' term in the fourth '''quadrant'''.
| | Now, check the box below the blue '''c''' term in the fourth '''quadrant'''.
|-
| | Point to the blue line.

Point to the equation, '''y=c'''.
| | Observe how a blue line appears in the '''Cartesian plane'''.

Its equation is '''y equals c''' and it corresponds to the constant term of the equation.
|-
| | Click on the green '''Save button'''.
| | Click on the green '''Save button'''.
|-
| | Point to the blue saved parabola, '''y = x2+ x + 1'''.
| | This saves the equation '''y equals x squared plus x plus 1'''.
|-
| | Change values for '''a, b '''and''' c'''.

Point to the '''sliders''' and the '''display boxes''' below the terms.

Point to the graphs.
| | Change the values for '''a, b '''and''' c'''.

You can either use the '''sliders''' or type in the '''display boxes''' below the terms.

Observe the effects of these changes on the graphs.
|-
| | Point to the blue saved parabola, '''y = x2 + x + 1'''.
| | Note that as you change '''a, b '''and''' c''', you can still see the parabola '''y equals x squared plus x plus 1'''.

This is because we saved this equation.
|-
| |
| | Save other graphs that you want to compare to see the effects of '''a, b '''and''' c'''.

You can only save one equation at a time.
|-
| | Point to the blue '''Erase button'''.
| | Note that after you have saved an equation, a blue '''Erase button''' appears.

This will erase the saved equation.
|-
| | Click on the red '''Zero button'''.

| | Click on the red '''Zero button'''.

This resets all coefficients '''a, b '''and''' c''' to 0.
|-
| | '''Slide Number 8'''

'''Assignment'''
| | As an '''assignment''', compare the parabolas graphed for different combinations of:

'''a'''<0 and '''a'''>0

'''b'''<0 and '''b'''>0

'''c'''<0 and '''c'''>0
|-
| | '''Slide Number 9'''

'''Summary'''
| | In this '''tutorial''', we have demonstrated the

'''Equation Grapher PhET simulation'''
|-
| | '''Slide Number 10'''

'''Summary'''
| | Using this '''simulation''', we have looked at:

Lines of the form '''y = bx + c''' and '''y = c'''

'''Quadratic polynomials''' '''y = ax2 + bx + c'''
|-
| | '''Slide Number 11'''

'''About the Spoken Tutorial Project'''

Watch the video available at http://spoken-tutorial.org/ What_is_a_Spoken_Tutorial

It summarizes the Spoken Tutorial project

If you do not have good bandwidth, you can download and watch it
| | The video at the following link summarizes the '''Spoken Tutorial project'''.

Please download and watch it
|-
| | '''Slide Number 12'''

'''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 13'''

'''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 14'''

'''Acknowledgement'''
| | This project is partially funded by '''Pandit Madan Mohan Malaviya National Mission on Teachers and Teaching'''
|-
| | '''Slide Number 15'''

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

More information on this mission is available at this link.
|-
| |
| | This is '''Vidhya Iyer''' from '''IIT Bombay'''.

Thank you for joining.
|-
|}

@@ Line 26: / Line 26: @@
 '''Java''' version 1.8.0
-'''Firefox Web Browser''' 60.0.2
+'''Firefox Web Browser''' 60.0.02
 || Here I am using,
@@ Line 33: / Line 33: @@
 '''Java''' version 1.8.0
-'''Firefox Web Browser''' version 60.0.2
+'''Firefox Web Browser''' version 60.0.02
 |-
 || '''Slide Number 4'''
@@ Line 67: / Line 67: @@
 '''a''' and '''b''' are real numbers, '''index''' '''n''' is a positive integer.
-'''r''' lies between 0 and '''n'''. Then,
+'''r''' lies between 0 and '''n'''.
-'''Binomial theorem''' states that '''a''' plus '''b''' raised to '''n''' can be expanded as shown.
+Then, '''Binomial theorem''' states that '''a''' plus '''b''' raised to '''n''' can be expanded as shown.
 |-
 || '''Slide Number 7'''
@@ Line 101: / Line 101: @@
 |-
 || Cursor on the '''interface'''.
-|| This is the '''interface''' for the '''Equation Grapher simulation'''.
+||This is the '''interface''' for the '''Equation Grapher simulation'''.
 |-
 || Point to the '''interface'''.

@@ Line 7: / Line 7: @@
 '''Title Slide'''
-|| Welcome to this tutorial on ''' Equation Grapher'''.
+|| Welcome to this tutorial on '''Equation Grapher'''.
 |-
 || '''Slide Number 2'''
@@ Line 105: / Line 105: @@
 || Point to the '''interface'''.
-Point to the first quadrant.
+|| The interface shows '''Cartesian co-ordinate system''' of '''x''' and '''y axes'''.
-Point to the quadratic function, '''y = ax<sup>2</sup> + bx + c'''.
+Point to the '''quadratic function''', '''y = ax<sup>2</sup> + bx + c'''.
-Point to the '''sliders''' and display boxes.
+Point to the '''sliders''' and '''display boxes'''.
 Point to the red '''Zero''' button.
@@ Line 116: / Line 118: @@
 Point to the equation.
-|| The interface shows '''Cartesian co-ordinate system''' of '''x''' and '''y axes'''.
+|| The first quadrant contains:
-−
 The first quadrant contains:
 The red-colored '''quadratic equation''', '''y equals ax squared plus bx plus c'''
@@ Line 144: / Line 144: @@
 || The fourth quadrant contains the
-'''quadratic''' equation '''y = ax<sup>2</sup>+bx+c'''
+'''Quadratic''' equation '''y = ax<sup>2</sup>+bx+c'''
-three check boxes under '''ax<sup>2</sup>, bx''' and '''c'''
+Three check boxes under '''ax<sup>2</sup>, bx''' and '''c'''
 Note that the '''ax squared''' term is violet, '''bx''' is green and '''c''' is blue.

@@ Line 202: / Line 202: @@
 |-
 || Check the box below the blue '''c''' term in the fourth quadrant.
-|| Now, check the box below the blue '''c''' term in the fourth quadrant.
+|| Now, in the fourth quadrant,check the box below the blue '''c''' term .
 |-
 || Point to the blue line.
@@ Line 244: / Line 244: @@
 |-
 || Click on the red '''Zero''' button.
 || Click on the red '''Zero''' button.
@@ Line 292: / Line 291: @@
 '''Spoken Tutorial workshops'''
-|| The '''Spoken Tutorial Project '''team conducts workshops using spoken tutorials and gives certificates on passing online tests.
+|| 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 319: / Line 318: @@
 '''Acknowledgement'''
-|| '''Spoken Tutorial Project''' is funded by '''NMEICT''', MHRD, Government of India
+|| '''Spoken Tutorial Project''' is funded by '''NMEICT''', MHRD, Government of India.
 More information on this mission is available at this link.
 |-
 ||
-|| This is '''Vidhya Iyer''' from '''IIT Bombay'''.
+|| This is '''Vidhya Iyer''' from '''IIT Bombay''' signing off.
 Thank you for joining.
 |-
 |}