PhET-Simulations-for-Mathematics/C2/Number-Line---Distance/English
Title: Number Line: Distance
Keywords: PhET simulation, number line, integers, subtraction, variables, absolute value, directed distance, spoken tutorial, video tutorial.
Visual Cue | Narration |
Slide Number 1
Title Slide |
Welcome to this Spoken Tutorial on Number Line: Distance.
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Slide Number 2
Learning Objectives |
In this tutorial, we will learn how to:
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Slide Number 3
System Requirements |
This tutorial is recorded using,
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Slide Number 4
Pre-requisites
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To follow this tutorial,
Learners should be familiar with topics in basic Mathematics.
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Slide Number 5
Link for PhET simulation
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Please use the given link to download the PhET simulation. |
Slide Number 6
PhET simulations
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In this tutorial, we will use the Number Line: Distance PhET simulation. |
Point to the simulation in the Downloads folder.
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I have already downloaded the simulation to my Downloads folder. |
Double click on the number-line-distance_en.html file | To open the simulation, double click on the number-line-distance_en.html file.
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Point to the simulation interface | This is the interface of the Number Line: Distance simulation. |
Point to each screen | The interface has two screens,
Explore and Generic.
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Click on Explore screen | Click on the Explore screen.
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Point to the number line | The screen has a number line WE.
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Point to the top left corner. | On the top left corner, there are two options.
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Point to the Absolute Value radio button | Absolute Value is the magnitude of a number without regard to its sign.
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Select Directed Distance radio button.
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Directed Distance.
It shows the difference between two numbers along with the negative sign.
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Point to the bottom left corner swap button | At the bottom, we have two variables represented as x1 and x2.
We can swap them using the swapping arrow button.
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Point to the Objects box. | We can drag and place the objects from the Objects box on the number line. |
Point to the different scenarios. | We can view this simulation in different scenarios.
The second is the temperature difference between two climates. The last is the vertical distance between a fish and a bird.
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Point to the information checkboxes.
Point Labels, Distance Labels, Distance Description, and Tick Marks.
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On the top right we have,
Point Labels Distance Labels Distance Description and Tick Marks checkboxes.
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Point to the Distance Statement on the top center of the screen | At the top, is the distance statement.
We can again maximise it when required. |
Point to the reset button | The reset button takes us back to the starting point. |
Point to the number line. | From the origin, positive numbers are represented on the right of the number line.
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Point to the Objects box. | Let us put the house and the person on the number line.
Let us use the following values for demonstration.
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Point to the House | The house is represented by variable x1 whose value is -4.
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Point to the Person. | The person is represented by variable x2 whose value is 5. |
Point to the Distance Statement. | The absolute difference between x2 and x1 is x2-x1.
5-(-4) which is equal to 9. |
Select Directed Distance radio button.
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Directed distance also remains the same.
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Point to the Distance Description. | See the distance description.
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Drag the Person towards right on the number line. | If the person moves to the right, the distance increases.
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Drag the Person towards left on the number line. | If the person moves to the left, the distance decreases. |
Point to the Distance Statement | The difference between x2 and x1, also changes simultaneously.
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Point to the bottom left swap button
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If we swap the variables x1 and x2, the absolute value remains the same.
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Select Directed Distance radio button | However, the directed distance is now -7.
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Point to the Distance Description. | The distance description tells us the house is 7 metres west of the person. |
Point to the number line | On the number line, the person that is variable x1 is the reference point.
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Point to the bottom left swap button | If we swap the variables again, the directed distance is 3-(-4) which is 7.
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Click on the third scenario | Let us select the third scenario. |
Point to the number line
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Here we have a vertical number line.
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Point to the Objects box | Let us place the bird in the sky and the fish in the water. |
Point to the number line | The vertical distance between them is calculated.
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Drag the Bird inside the water to catch the Fish. | Let us drag the bird inside the water to catch the fish.
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Point to the Bird. | The bird is represented by the variable y1 whose value is -2.
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Point to the House | The fish is represented by the variable y2 whose value is -13. |
Point to the Distance Statement | The difference between y2 and y1 is y2-y1.
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Click on Generic screen. | Click on the Generic screen.
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Point to the Scale. | From this list, we can select the scale of the number line.
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Point to the number line representations. | We can choose between a horizontal or vertical representation of the number line.
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Click on reset button. | Let us reset our screen.
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Point to the colored balls. | Let us put the colored balls on the number line.
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Point to the number line | The variable x1 represents the pink ball.
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Point to the Distance Description | The distance description tells us that x2 and x1 are 6 units apart.
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Select Directed Distance radio button | Select the directed distance option.
Here the distance description tells us that x2 is 6 units more positive than x1.
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Point to the number line. | Here, x1 is the reference point.
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Point to the Distance Description |
The description here tells us that x2 is more positive. |
Point to the bottom left swap button | If we swap the variables, the arrowhead points towards the left.
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Point to the Distance Description | The description tells us that x2 is more negative. |
Point to the bottom left swap button | Let us swap the variables once again. |
Point to the Distance Statement | Let us change the variable values using the buttons in the distance statement.
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Point to the number line | Hence, the absolute value of the difference between two integers is their distance.
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Only Narration | With this, we have come to the end of this tutorial. Let us summarise. |
Slide number 7
Summary |
In this tutorial, we have learnt how to:
Represent integers on the number line Subtract integers Calculate the distance between two integers |
Slide number 8
Assignment |
As an assignment,
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Slide number 9
About the Spoken Tutorial project |
The video at the following link summarises the Spoken Tutorial project.
Please download and watch it.
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Slide number 10
Spoken Tutorial workshops |
The Spoken Tutorial Project team:
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Slide number 11
Forum for specific questions |
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Slide number 12
Acknowledgement
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The Spoken Tutorial project is funded by the Ministry of Education, Government of India.
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Slide number 13
Thank you |
This is Radhika Yadav, a FOSSEE summer fellow 2022, IIT Bombay signing off.
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