Script | Spoken-Tutorial - User contributions [en]

PhET-Simulations-for-Mathematics/C2/Number-Line---Integers/English

2022-09-20T05:10:27Z

RadhikaYadav: Created page with "Title: Number Line: Integers Keywords: PhET simulation, number line, integers, comparison, absolute value, temperature, sea level, spoken tutorial, video tutorial. {| borde..."

Title: Number Line: Integers

Keywords: PhET simulation, number line, integers, comparison, absolute value, temperature, sea level, spoken tutorial, video tutorial.

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

'''Title Slide'''
|| Welcome to this Spoken Tutorial on '''Number Line: Integers'''.

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

'''Learning Objectives'''
|| In this tutorial, we will learn how to:
* Use integers to represent quantities in multiple contexts
* Compare integers on the number line
* Change the relative positions of integers on the number line

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

'''System Requirements'''
|| This tutorial is recorded using,

macOS Catalina version 10.15.7

Google chrome version 101.0.49

|-
|| '''Slide Number 4'''

'''Pre-requisites'''

'''https://spoken-tutorial.org'''

|| To follow this tutorial,

Learners should be familiar with topics in basic mathematics.

Please use the link below to access the tutorials on '''PhET simulations'''.

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

'''Link for PhET simulation'''

'''https://phet.colorado.edu/en/simulations/number-line-integers'''
|| Please use the given link to download the '''PhET''' '''simulation'''.
|-
|| '''Slide Number 6'''

'''PhET simulations'''

|| In this tutorial, we will use the '''Number Line: Integers''' '''PhET simulation'''.

|-
|| Point to the simulation in the Downloads folder

'''Number Line: Integers simulation'''

|| I have already downloaded the '''simulation''' to my '''Downloads''' folder.
|-
|| Double click on the '''number-line-integers_en.html''' file
|| To open the simulation, double click on the '''number-line-integers_en.html''' file.

The file will open in your default browser.

|-
|| Point to the simulation interface
|| This is the interface of the '''Number Line: Integers''' simulation.
|-
|| Point to each screen
|| The interface has two screens, '''Explore''' and '''Generic'''

|-
|| Click on '''Explore''' screen
|| Click on the '''Explore''' screen.
|-
|| Point to the number line.
|| The screen has a vertical '''number line ''' to depict the elevation of objects.
|-
|| Point to the '''Objects''' box.
|| This is the '''Objects '''box at the bottom of the screen. We can drag and place objects on the number line.

|-
|| Point to the different scenarios.
|| We can view this '''simulation''' in different scenarios.

The first one is the comparison of elevations of a person, a bird and a fish.

The second is the comparison of two bank account balances.

The last is the comparison of temperatures of different locations.

|-
|| Point to the smaller '''reset''' button.
|| The smaller '''reset''' button resets the current scenario.
|-
|| Point to the information check boxes.
|| On the top right, we have the following check boxes.

'''Number Line''', '''Labels''', and ''' Absolute Value'''

We can use these check boxes to show and hide the details.

|-
|| Point to the '''Comparison Statement ''' on the top centre of the screen
|| At the top, is the '''comparison statement'''.

It can be minimised.

We can again maximise it when required.
|-
|| Point to the '''reset''' button
|| The '''reset''' button resets the simulation.
|-
|| Point to the '''Objects''' box
|| Let us put the objects inside the scenario.

We can place them at any point on the line.

Their position from the sea level is represented on the number line.

|-
|| Check the '''Absolute Value''' check box
|| Let us check the '''Absolute value''' check box.

It shows us the distance as an absolute value.

It also tells us the direction of the three objects.

|-
|| Point to the '''Person'''.
|| The person is placed 62 metres above sea level.

This is represented as 62 metres on the number line.
|-
|| Point to the '''Bird'''.
|| The bird is placed 30 metres above sea level.

This is represented as 30 metres on the number line.
|-
|| Point to the '''Fish'''.
|| The fish is placed 45 metres below sea level.

This is represented as -45 metres on the number line.
|-
|| Point to the '''Comparison Statement'''.
|| See the comparison statement at the top.

-45 is less than 30 which is less than 62.

Using these arrows, we can view the comparison in ascending or descending order.

|-
|| Point to the sea level on the screen.
|| Note that an object can also be placed on the surface of the sea.

|-
|| Drag the '''Bird''' down to the sea level.
|| Let us drag the bird down to sea level.
|-
|| Point to the number line.
|| In this case, it is represented as 0 on the number line.

|-
|| Click on the second scenario.
|| Let us select the second scenario.

|-
|| Point to the number line.
|| This number line represents bank account balance.

|-
|| Point to the buttons on the left of the number line.
|| Using these buttons we can add or remove money from the account.

We can also drag the objects on the number line.

|-
|| Point to the toggle switch.
|| The toggle switch on the right, allows us to represent one or two accounts.

|-
|| Click the add money button for object 1.
|| Let us deposit 5 dollars in the first bank account.

The object gets bigger and moves 5 places to the right on the number line.

|-
|| Click the remove money button for object 2
|| Let us withdraw 3 dollars from the second bank account.

The object gets smaller and moves 3 places to the left on the number line.

|-
|| '''Slide number 7'''

'''Transactions table'''
|| Now, let us perform the following transactions in the simulation.

They represent weekly activities of two different people.

(Note: See table 1)

|-
|| Point to the number line.
|| This is the result of the transactions.
|-
|| Check the '''Absolute Value''' check box.
|| Now check the '''Absolute Value''' check box.
|-
|| Point to the bank account 1.
|| Bank account 1 has a balance of 30 dollars.

It has moved further right from the origin.

Its relative position from the origin is plus 30.

|-
|| Point to the bank account 1.
|| Bank account 2 is in debt of 17 dollars.

It has moved further left from the origin.

Its relative position from the origin is -17.
|-
|| Point to the number line.
|| The total difference between the two accounts is 30-(-17) which is 47 dollars.

This is represented on the number line.

|-
|| Point to the comparison statement.

Point to the two bank accounts.
|| The comparison statement shows that -17 is less than 30.

Users can change the values in the two bank accounts and check the differences.

|-
|| Click on the third scenario.
|| Let us select the third scenario.

|-
|| Point to the number line.
|| This vertical number line represents the temperature of different locations.

We can view this in the ''''Fahrenheit''' or '''Celsius''' scale.

The ''''Fahrenheit''' scale is chosen by default.

|-
|| Click on ℃ radio button.
| Let us choose the '''Celsius''' scale.
|-
|| Point to the drop down list.
|| We can select the months of the year from the drop down on the right.

Temperatures on the map will vary accordingly.

January is chosen by default.

|-
|| Point to the '''Objects''' box.
|| Let us put the thermometers at different locations on the map.
|-
|| Check the '''Absolute Value''' checkbox.
|| Let us check the '''Absolute Value''' checkbox.

It will show us the temperature purely in terms of its magnitude.

|-
|| Point to the '''Location A'''.
|| The temperature of location A is 24 degrees above 0.

This is represented as 24 degrees Celsius on the number line.

|-
|| Point to the '''Location B'''.
|| The temperature of location B is 19 degrees above 0.

This is represented as 19 degrees Celsius on the number line.

|-
|| Point to the '''Location C'''.
|| The temperature of location C is 33 degrees below 0.

This is represented as -33 degrees Celsius on the number line.

|-
|| Point to the '''Comparison Statement'''.
|| This is also reflected in the comparison statement.

-33 is less than 19 which is less than 24.

|-
|| Point to the number line.
|| Observe that temperatures above 0 degrees are represented as positive integers.

And temperatures below 0 degrees are represented as negative integers.

|-
|| '''Slide number 8'''

'''Temperature Comparison table'''
|| This table represents the temperatures of 3 different locations over 5 months.

(Note: See table 2)

It indicates the change in the climatic conditions in various parts of the world.

|-
|| Click on '''Generic''' screen.
|| Now click on the '''Generic''' screen.

The Generic screen has some new tools.

|-
|| Point to the '''Scale'''.
|| From this list, we can select the '''scale''' of the number line.

-10 to 10 is chosen by default.

|-
|| Point to the number line representations.
|| We can choose between a '''horizontal''' or '''vertical ''' representation of the number line.

'''Horizontal''' is chosen by default.

|-
|| Point to top right check boxes.
|| On the top right, we have the following check boxes.

'''Labels''', '''Tick Marks''', '''Opposite''', and '''Absolute Value'''.

We can use these check boxes to show and hide the details.

|-
|| Point to the number line
|| Explore the '''Generic''' screen to understand the number line concepts generally.

|-
||
|| With this, we have come to the end of this tutorial. Let us summarise.
|-
|| '''Slide number 9'''

'''Summary'''
|| In this tutorial, we have learnt how to:
* Use integers to represent quantities in multiple contexts
* Compare integers on the number line
* Change the relative positions of integers on the number line

|-
|| '''Slide number 10'''

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

* Make a comparison table for 2 bank accounts.
* Consider all transactions including salary, loan payment and other expenses.

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

'''Assignment'''

|| Here is another assignment for you.

# Arrange the numbers in ascending order, –11, 8, -6, -2, 2, 5.

# Complete the missing numbers in the number line: __, -8, __, 8, __, 24, __, 40.

# Complete the following pattern using the number line: -14, -9, -4, 1, 6, __, __, __, __

|-
|| '''Slide Number 12'''

'''About the Spoken Tutorial project'''
|| The video at the following link summarises the Spoken Tutorial project.

Please download and watch it.

|-
|| '''Slide Number 13'''

'''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 14'''

'''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.

The Spoken tutorial project will ensure an answer.

You will have to register to ask questions.

|| Please post your timed queries in this forum.
|-
|| '''Slide number 15'''

'''Acknowledgment'''

|| The Spoken Tutorial project is funded by the Ministry of Education, Government of India.

|-
|| '''Slide number 16'''

'''Thank you'''
|| This is Radhika Yadav, a FOSSEE summer fellow 2022, IIT Bombay signing off.

Thanks for joining.
|-
|}

PhET-Simulations-for-Mathematics/C2/Number-Line---Operations/English

2022-09-20T05:07:06Z

RadhikaYadav: Created page with "Title: Number Line: Operations Keywords: PhET simulation, number line, integers, addition, subtraction, additive inverse, assets, debts, spoken tutorial, video tutorial. {|..."

Title: Number Line: Operations

Keywords: PhET simulation, number line, integers, addition, subtraction, additive inverse, assets, debts, spoken tutorial, video tutorial.

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

'''Title Slide'''
||Welcome to this Spoken Tutorial on '''Number Line: Operations.'''

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

'''Learning Objectives'''
||In this tutorial, we will learn how to:
* Add integers on the number line
* Subtract integers on the number line
* Calculate the additive inverse

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

'''System Requirements'''
||This tutorial is recorded using,

macOS Catalina version 10.15.7

Google chrome version 101.0.49
|-
||'''Slide Number 4'''

'''Pre-requisites'''

'''https://spoken-tutorial.org'''

||To follow this tutorial,

Learners should be familiar with topics in basic mathematics.

Please use the link below to access the tutorials on '''PhET simulations'''.

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

'''Link for PhET simulation'''

'''https://phet.colorado.edu/en/simulations/number-line-operations'''
||Please use the given link to download the '''PhET''' '''simulation'''.
|-
||'''Slide Number 6'''

'''PhET simulations'''

||In this tutorial, we will use the '''Number Line: Operations''' '''PhET simulation.'''
|-
||Point to the simulation in the Downloads folder

'''Number Line: Operations simulation'''

||I have already downloaded the '''simulation''' to my '''Downloads''' folder.
|-
||Double click on the '''number-line-operations_en.html''' file
||To open the simulation, double click on the '''number-line-operations_en.html''' file.

The file will open in your default browser.

|-
||Point to the simulation interface
||This is the interface of the '''Number Line: Operations''' simulation.
|-
||Point to each screen
||The interface has four screens:

'''Chips''', '''Net Worth''', '''Operations''', and '''Generic'''

|-
||Click on '''Chips''' screen
||Click on the '''Chips''' screen.
|-
||Point to the number line
||The screen has a '''number line '''to represent the total amount of chips or coins.
|-
||Point to the '''Total''' box
||The total can also be viewed at the top of the screen in the '''Total '''box.
|-
||Point to the right panel next to the '''Positives''' bag

||We can put chips in the Positives bag from the panel on the right.

This will increase chips in the total amount.

|-
||Point to the left panel next to the '''Negatives''' bag

||We can put chips in the '''Negatives''' bag from the panel on the left.

This will decrease chips in the total amount.

|-
||Point to the information checkboxes
||On the top left, we have the following checkboxes.

'''Operation Descriptions, Operation Labels, '''and''' Tick Marks'''

We can use these check boxes to show and hide the details.

|-
||Point to the '''reset''' button
||The '''reset''' button takes us back to the starting point of the simulation.
|-
||Point to the right panel next to the '''Positives''' bag

||Let us put the +1 chip in the positives bag.

|-
||Point to the number line
||The description tells us we have added a positive 1 to the total amount.

The mark on the number line moves one place to the right.

|-
||Point to the '''Total '''box
||The total amount is now 1.
|-
||Point to the left panel next to the '''Negatives''' bag

||Let us now put the -1 chip in the '''Negatives '''bag.

|-
||Point to the number line
||The description tells us we have added a negative 1.

The mark on the number line moves one place to the left.

|-
||Point to the '''Total '''box.

Add annotation while editing.
||The total amount is now 0 as 1 + (-1) is 0.

This means -1 is the additive inverse of 1.

Additive inverse of a number x, is a number that results in 0 when added to x.

|-
||Point to the number line
||However, we know 1 - 1 is also equal to 0.

This means adding -1 to 1 has the same effect as subtracting 1 from 1.

Let us try this with other combinations of chips.

|-
||Point to right panel next to the '''Positives''' bag

||Let us put +2 in the '''Positives''' bag.
|-
||Point to the number line
||The mark on the line moves two places to the right.

|-
||Point to right panel next to the '''Positives''' bag

||Let us further put +4 in the '''Positives''' bag.
|-
||Point to the number line
||The mark on the line now moves four places to the right.

|-
||Point to the '''Total''' box
||The total is now 0 + 2 + 4 which is 6.

|-
||Point to the left panel next to the '''Negatives''' bag

||Let us put the -5 chip in the '''Negatives '''bag.
|-
||Point to the number line

||The description tells us we have added a negative 5.

The mark on the line moves five places to the left.

|-
||Point to the '''Total''' box
||Hence, the total is 6 + (-5) which is 1.

This is also equal to 6 - 5.

Observe that adding -5 to 6 has the same effect as subtracting 5 from 6.

|-
||Point to the '''Negatives''' bag
||Let us now remove the -1 chip from the Negatives bag.
|-
||Point to number line
||The description tells us we have removed a negative 1.

The mark on the line moves one place to the right.

|-
||Point to the '''Total''' box
||The total amount is now 1 - (-1) which is 2.

We already know 1 + 1 is also equal to 2.

This means subtracting -1 from 1 has the same effect as adding 1 to 1.

|-
||Click on the '''Net Worth '''screen
||Click on the '''Net Worth''' screen.

|-
||Point to the right panel next to the '''Positives''' bag
||In the right panel, we have different assets.

Assets are items that a person owns which have value.

|-
||Point to the left panel next to the '''Negatives''' bag

||In the left panel, we have debts.

Debt is money that a person owes to someone.

|-
||Point to the '''Net Worth''' box

||Using the net worth box on the top, we can calculate the net worth.

It is all the assets and debts added together.
|-
||'''Slide number 7'''

'''Assets and Debts table'''
||See the following table.

Pause the video here and perform these transactions using the Net Worth screen.

Calculate the net worth of a person.

(Note: See table 1)

|-
||Point to the number line
||After performing these operations, the final net worth of a person is $100.
|-
||Click on the '''Operations''' screen
||Click on the '''Operations''' screen.

|-
||Point to the number line
||The screen has a '''number line '''to represent net worth.
|-
||Point to the '''Initial''' '''Net Worth''' box

Click and show the net values.
||At the bottom, there is an initial net worth box.

Using the up and down arrows we can set a starting point.
|-
||Point to the top right box.

Point to the up and down arrow buttons.

||On the top right, there is an option to perform two transactions.

We can select an amount using the up and down arrows.

A positive amount is an asset and a negative amount is a debt.

|-
|| Point to the plus button.

Point to the minus button.

Click the down arrow.

Scroll the right arrow to move to right slide.
|| We can add an asset or debt using the plus button.

We can remove an asset or debt using the minus button.

Let us click the down arrow to add it to the net worth.

We can scroll right using the right arrow to perform the second transaction.
|-
||Point to the '''Net Worth''' box

Point to Simplify button

Point to equals button
||The net worth box next to it displays the net worth amount.

We can click the Simplify button to simplify negative signs in the expression.

We can click the equals button to evaluate the expression.

|-
||Point to the information checkboxes
||On the top left, we have the following checkboxes.

'''Operation Descriptions, Operation Labels, Point Labels '''and''' Tick Marks'''

We can use these check boxes to show and hide the details.

|-
||Point to the '''eraser''' button
||The eraser button takes us back to the initial net worth.
|-
||Click the '''reset''' button
||Let us reset our screen.
|-
||Point to the '''Initial Net Worth''' box
||Let us set an initial net worth of $200.

|-
||Point to the top right box
||Now let us add debt of $300 to the net worth of $200.

|-
||Point to the '''Net Worth''' box
||The net worth is now 200 + (-300).

|-
||Click and hold the '''Simplify''' button
||Click and hold the simplify button.

This expression is equal to 200 - 300.

We have already learned this concept.

Adding a negative number has the same effect as subtracting its additive inverse

|-
||Click and hold the '''Equals '''button
||Click and hold the equals button.

The net worth is now -$100.

This means the person is in debt of $100.

|-
||Point to the top right box
||Let us add assets of $500.

Scroll right in the top right box to add the asset.

|-
||Point to the '''Net Worth''' box
||The net worth is now 200 + (-300) +500.

|-
||Click and hold the '''Simplify''' button
||Click and hold the simplify button again.

This expression is equal to 200 - 300 + 500.

|-
||Click and hold the '''Equals '''button
||Click and hold the equals button.

The net worth is now $400.

This means the person has assets of $400.

|-
||Click on '''Generic''' screen
||Click on the '''Generic''' screen.

The Generic screen has some new tools.

|-
||Point to the '''Scale'''
||From this list, we can select the '''scale''' of the number line.

-10 to 10 is chosen by default.

|-
||Point to the net worth representations
||We can choose between representing one or two numerical expressions.

For two expressions, two number lines will be displayed.

One is chosen by default.
|-
||Point to the information checkboxes
||On the top left, we have the following checkboxes.

'''Operation Labels, Point Labels '''and''' Tick Marks'''

We can use these check boxes to show and hide the details.

|-
||Point to the number line
||You can explore the '''Generic''' screen yourself.
|-
||
||With this, we have come to the end of this tutorial. Let us summarise.
|-
||'''Slide number 8'''

'''Summary'''
||In this tutorial, we have learnt how to:* Add integers on the number line
* Subtract integers on the number line
* Calculate the additive inverse

|-
||'''Slide Number 9'''

'''Assignment'''

||As an assignment,

Use the Operations screen to calculate the net worth in different scenarios.

Open the Generic screen and choose the two numerical expressions option.

Then perform the steps shown in this table.

Compare the different operations on integers.

(Note: See table 2)

|-
||'''Slide number 10'''

'''About the Spoken Tutorial project'''
|| The video at the following link summarises the Spoken Tutorial project.

Please download and watch it.

|-
||'''Slide number 11'''

'''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 12'''

'''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.

The Spoken tutorial project will ensure an answer.

You will have to register to ask questions.

||Please post your timed queries in this forum.
|-
||'''Slide number 13'''

'''Acknowledgement'''

||The Spoken Tutorial project is funded by the Ministry of Education, Government of India.

|-
||'''Slide number 14'''

'''Thank you'''
||This is Radhika Yadav, a FOSSEE summer fellow 2022, IIT Bombay signing off.

Thanks for joining.
|-
|}

PhET-Simulations-for-Mathematics/C2/Number-Line---Distance/English

2022-09-16T07:15:29Z

RadhikaYadav: Created page with "Title: Number Line: Distance Keywords: PhET simulation, number line, integers, subtraction, variables, absolute value, directed distance, spoken tutorial, video tutorial. {|..."

Title: Number Line: Distance

Keywords: PhET simulation, number line, integers, subtraction, variables, absolute value, directed distance, spoken tutorial, video tutorial.

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

||'''Slide Number 1'''

'''Title Slide'''
||Welcome to this '''Spoken Tutorial''' on '''Number Line: Distance'''.

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

'''Learning Objectives'''
||In this tutorial, we will learn how to:

* Represent integers on the number line

* Subtract integers

* Calculate the distance between two integers

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

'''System Requirements'''
||This tutorial is recorded using,

* macOS Catalina version 10.15.7

* Google chrome version 101.0.49

|-
||'''Slide Number 4'''

'''Pre-requisites'''

'''https://spoken-tutorial.org'''

||To follow this tutorial,

Learners should be familiar with topics in basic Mathematics.

Please use the link below to access the tutorials on '''PhET simulations'''.

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

'''Link for PhET simulation'''

'''https://phet.colorado.edu/en/simulations/number-line-distance'''
||Please use the given link to download the '''PhET''' '''simulation'''.
|-
||'''Slide Number 6'''

'''PhET simulations'''

||In this tutorial, we will use the '''Number Line: Distance''' '''PhET simulation'''.

|-
||Point to the simulation in the '''Downloads folder'''.

'''Number Line: Distance simulation'''

||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.

The file will open in your default browser.

|-
||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'''.

|-
||Click on '''Explore''' screen
||Click on the '''Explore''' screen.

|-
||Point to the number line
||The screen has a '''number line WE'''.

It is used to represent numbers at equal intervals and perform operations.

|-
||Point to the top left corner.
||On the top left corner, there are two options.

We can switch between them.

'''Absolute Value''' radio button is selected by default.

|-
||Point to the '''Absolute Value''' radio button
||'''Absolute Value ''' is the magnitude of a number without regard to its sign.

|-
||Select '''Directed Distance''' radio button.

Select '''Absolute Value''' radio button.
||'''Directed Distance'''.

It shows the difference between two numbers along with the negative sign.

|-
||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.

|-
||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 first one is the distance between a house and a person.

The second is the temperature difference between two climates.

The last is the vertical distance between a fish and a bird.

|-
||Point to the information checkboxes.

'''Point Labels''', '''Distance Labels''', '''Distance Description''', and ''' Tick Marks'''.

||On the top right we have,

'''Point Labels'''

'''Distance Labels'''

'''Distance Description '''and''' '''

'''Tick Marks''' checkboxes.

We can use these check boxes to show and hide the details.

|-
||Point to the '''Distance Statement '''on the top center of the screen
||At the top, is the '''distance statement'''.

It can be minimised.

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.

The negative numbers are represented on the left.

Hence, the numbers on the right are greater than the numbers on the left.
|-
||Point to the '''Objects''' box.
||Let us put the house and the person on the number line.

We can place them at any point on the line.

Let us use the following values for demonstration.

|-
||Point to the '''House'''
||The house is represented by variable x1 whose value is -4.

|-
||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.

Select '''Absolute Value ''' radio button.

||'''Directed distance''' also remains the same.

|-
||Point to the '''Distance Description'''.
||See the''' distance description'''.

It tells us the distance between the two objects is 9 metres.

|-
||Drag the '''Person ''' towards right on the number line.
||If the person moves to the right, the distance increases.

|-
||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.

Hence, distance between two integers is the absolute value of their difference.

|-
||Point to the bottom left swap button

||If we swap the variables '''x1''' and '''x2''', the absolute value remains the same.

|-
||Select '''Directed Distance '''radio button
||However, the '''directed distance''' is now -7.

'''x2-x1''' is (-4-3) which is equal to -7.

|-
||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.

The arrowhead points west in the direction of the house.

|-
||Point to the bottom left swap button
||If we swap the variables again, the directed distance is 3-(-4) which is 7.

The house becomes the reference point now.

The person is 7 metres East of the house.

|-
||Click on the third scenario
||Let us select the third scenario.
|-
||Point to the number line

Point to all the features
||Here we have a vertical number line.

All other features remain the same.
|-
||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.

It is the difference of their distance from the sea level.

|-
||Drag the '''Bird''' inside the water to catch the '''Fish'''.
||Let us drag the bird inside the water to catch the fish.

We can place these objects wherever we want on the number line.

|-
||Point to the '''Bird'''.
||The bird is represented by the variable '''y1''' whose value is -2.

|-
||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.

(-13) - (-2) equal to 11 is the '''absolute value'''.

Hence, they have a vertical distance of 11 meters.

|-
||Click on '''Generic''' screen.
||Click on the '''Generic''' screen.

The '''Generic''' screen has some new tools.

|-
||Point to the '''Scale'''.
||From this list, we can select the '''scale''' of the number line.

-10 to 10 is chosen by default.

|-

||Point to the number line representations.
||We can choose between a '''horizontal''' or '''vertical '''representation of the number line.

Horizontal is chosen by default.

|-
||Click on '''reset''' button.
||Let us reset our screen.

We can use the '''Generic''' screen to generalise and understand these concepts.

|-
||Point to the '''colored balls'''.
||Let us put the colored balls on the number line.

|-
||Point to the number line
||The variable '''x1''' represents the pink ball.

The variable '''x2''' represents the blue ball.

|-
||Point to the '''Distance Description'''
||The '''distance description''' tells us that '''x2''' and '''x1''' are 6 units apart.

x2-x1 is 2-(-4) which is equal to 6.

|-
||Select '''Directed Distance '''radio button
||Select the '''directed distance''' option.

Here the '''distanc'''e''' description''' tells us that '''x2''' is 6 units more positive than '''x1'''.

|-
||Point to the number line.
||Here, '''x1''' is the reference point.

Notice that the arrowhead points towards the right in the direction of '''x2'''.
|-
||

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.

|-
||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'''.

The position of the colored balls on the number line changes accordingly.

|-
||Point to the number line
||Hence, the absolute value of the difference between two integers is their distance.

|-
||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,

Open the second scenario in the '''Explore''' screen.

Find the average temperature of winter and summer months in your city.

Represent them on the number line and calculate the difference between them.

Find out how this has changed over the years.

|-
||'''Slide number 9'''

'''About the Spoken Tutorial project'''
||The video at the following link summarises the Spoken Tutorial project.

Please download and watch it.

|-
||'''Slide number 10'''

'''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 11

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 questions briefly.

* The Spoken tutorial project will ensure an answer.

* You will have to register to ask questions.

|-
||'''Slide number 12'''

'''Acknowledgement'''

||The Spoken Tutorial project is funded by the Ministry of Education, Government of India.

|-
||'''Slide number 13'''

'''Thank you'''
||This is Radhika Yadav, a FOSSEE summer fellow 2022, IIT Bombay signing off.

Thanks for joining.

|-
|}