PoojaMoolya: Created page with "{|border=1 || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Equation Grapher'''. |- || 00:06 || In this tutorial, we will demonstrate '''Equati..."

2018-10-31T09:52:54Z

Created page with "{|border=1 || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Equation Grapher'''. |- || 00:06 || In this tutorial, we will demonstrate '''Equati..."

New page

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

|-
|| 00:01
|| Welcome to this tutorial on '''Equation Grapher'''.

|-
|| 00:06
|| In this tutorial, we will demonstrate '''Equation Grapher PhET simulation'''.

|-
|| 00:13
|| Here I am using, '''Ubuntu Linux OS''' version 16.04

|-
||00:21
|| '''Java''' version 1.8.0

|-
||00:25
|| '''Firefox Web Browser''' version 60.0.02

|-
||00:31
|| Learner should be familiar with topics in high school mathematics.

|-
|| 00:36
|| Using this '''simulation''' we will look at, Lines of the form '''y = bx + c''' and '''y = c'''

|-
||00:47
|| '''Quadratic polynomials''' '''y equals ax squared plus bx plus c'''

|-
||00:53
|| '''Binomial Theorem'''

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

|-
||01:02
|| '''r''' lies between 0 and '''n'''. Then, '''Binomial theorem''' states that '''a''' plus '''b''' raised to '''n''' can be expanded as shown.

|-
|| 01:14
|| Use the given link to download the simulation.

|-
||01:19
|| I have already downloaded '''Equation Grapher''' simulation to my '''Downloads''' folder.

|-
|| 01:26
|| To open the '''jar file''', open the '''terminal'''.

|-
||01:30
|| At the '''terminal prompt''', type '''cd Downloads''' and press '''Enter'''.

|-
||01:37
|| Type '''java space hyphen jar space equation-grapher_en.jar'''.

Press '''Enter'''.

|-
||01:50
|| '''File''' opens in the '''browser''' in '''html format'''.

|-
|| 01:55
||This is the '''interface''' for the '''Equation Grapher simulation'''.

|-
|| 02:00
|| The interface shows '''Cartesian co-ordinate system''' of '''x''' and '''y axes'''.

|-
|| 02:07
|| The first quadrant contains: The red-colored '''quadratic equation''', '''y equals ax squared plus bx plus c'''

|-
||02:16
|| Three '''sliders''' and display boxes under '''ax2, bx''' and '''c'''

|-
||02:24
|| The '''sliders''' allow you to change the values of the coefficients, '''a''', '''b''' and '''c'''.

|-
||02:32
|| The display boxes show these values and can be used to enter values.

|-
||02:39
|| A red '''Zero''' button to set all '''sliders''' at '''0'''

|-
||02:44
|| A green '''Save''' button to save the '''equation'''

|-
||02:48
|| The updated equation in red is shown below the '''sliders'''.

|-
|| 02:53
|| The fourth quadrant contains the '''Quadratic''' equation '''y = ax2+bx+c'''

|-
||03:01
|| Three check boxes under '''ax2, bx''' and '''c'''

|-
||03:07
|| Note that the '''ax squared''' term is violet, '''bx''' is green and '''c''' is blue.

|-
|| 03:15
|| In the first quadrant, in the display box below '''ax squared''', type 1.

|-
||03:21
|| Observe how the '''slider''' under '''ax squared''' also moves to 1.

|-
||03:27
|| A red parabola with vertex at origin '''0 comma 0''' appears in the window.

It opens upwards.

|-
|| 03:37
|| In the first quadrant, in the display box below '''bx''', type 1.

|-
|| 03:43
|| Observe how the parabola shifts downwards and to the left.

|-
|| 03:49
|| In the first quadrant, in the display box below '''c''', type 1.

|-
|| 03:55
|| Observe how the parabola moves upwards.

|-
|| 03:59
|| In the fourth quadrant, check the box below the violet coloured '''ax squared''' term.

|-
|| 04:06
|| A violet parabola appears next to the red parabola.

|-
||04:11
|| This violet parabola corresponds to the '''y equals ax squared''' part of the red equation.

|-
|| 04:20
|| The equation for the violet parabola is '''y equals x squared'''.

|-
|| 04:26
|| Now, in the fourth quadrant, check the box below the green '''bx''' term.

|-
|| 04:32
|| Observe how a green line appears in the '''Cartesian''' plane.

|-
||04:38
|| It passes through the origin '''0 comma 0'''.

It corresponds to the '''x''' term and its equation is '''y equals x'''.

|-
|| 04:50
|| Now, in the fourth quadrant,check the box below the blue '''c''' term .

|-
|| 04:56
|| Observe how a blue line appears in the '''Cartesian''' plane.

|-
||05:01
|| Its equation is '''y equals c''' and it corresponds to the constant term of the equation.

|-
|| 05:12
|| Click on the green '''Save''' button.

|-
|| 05:15
|| This saves the equation '''y equals x squared plus x plus 1'''.

|-
|| 05:22
|| Change the values for '''a''', '''b''' and '''c'''.

|-
||05:30
|| You can either use the '''sliders''' or type in the display boxes below the terms.

|-
||05:36
|| Observe the effects of these changes on the graphs.

|-
|| 05:41
|| 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.

|-
||05:58
|| 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.

|-
||06:09
|| Note that after you have saved an equation, a blue '''Erase''' button appears.

This will erase the saved equation.

|-
|| 06:19
|| Click on the red '''Zero''' button.

This resets all coefficients '''a''', '''b''' and '''c''' to 0.

|-
||06:30
|| 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

|-
|| 06:51
|| In this '''tutorial''', we have demonstrated the

'''Equation Grapher PhET simulation'''

|-
||06:58
|| Using this '''simulation''', we have looked at:

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

|-
||07:08
|| '''Quadratic polynomials''' '''y = ax2 + bx + c'''

|-
|| 07:15
|| The video at the following link summarizes the '''Spoken Tutorial project'''.

Please download and watch it

|-
|| 07:24
|| The '''Spoken Tutorial Project''' team conducts workshops using spoken tutorials and gives certificates on passing online tests.

For more details, please write to us.

|-
|| 07:37
|| Please post your timed queries in this forum.

|-
||07:41
|| This project is partially funded by '''Pandit Madan Mohan Malaviya National Mission on Teachers and Teaching'''

|-
|| 07:49
|| '''Spoken Tutorial Project''' is funded by '''NMEICT''', MHRD, Government of India.

More information on this mission is available at this link.

|-
||08:02
|| This is '''Vidhya Iyer''' from '''IIT Bombay''' signing off.

Thank you for joining.
|-
|}

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

PoojaMoolya: Created page with "{|border=1 || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Equation Grapher'''. |- || 00:06 || In this tutorial, we will demonstrate '''Equati..."