PhET/C2/Equation-Grapher/English-timed
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| 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. |
