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

Madhurig at 06:13, 15 February 2023

2023-02-15T06:13:11Z

Madhurig at 10:52, 14 February 2023

2023-02-14T10:52:10Z

Nancyvarkey at 06:53, 16 December 2022

2022-12-16T06:53:43Z

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

2022-09-20T05:07:06Z

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

New page

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.
|-
|}

@@ Line 1: / Line 1: @@
 Title: Number Line: Operations
 Keywords: PhET simulation, number line, integers, addition, subtraction, additive inverse, assets, debts, spoken tutorial, video tutorial.
@@ Line 7: / Line 9: @@
 ||'''Visual Cue'''
 ||'''Narration'''
-|-https://script.spoken-tutorial.org/index.php?title=PhET-Simulations-for-Mathematics/C2/Number-Line---Operations/English&action=edit
+|-
 ||'''Slide Number 1'''
 '''Title Slide'''
-||Welcome to this Spoken Tutorial on '''Number Line: Operations.'''
+||Welcome to this Spoken Tutorial on '''Number Line: Operations'''.
 |-
@@ Line 28: / Line 30: @@
 ||This tutorial is recorded using,
-*'''macOS Catalina''' version 10.15.7
+* '''macOS Catalina''' version 10.15.7
-*'''Google Chrome''' version 101.0.49
+* '''Google Chrome''' version 101.0.49
 |-
@@ Line 40: / Line 42: @@
 ||To follow this tutorial,
-*Learners should be familiar with topics in basic mathematics.
+* Learners should be familiar with topics in basic mathematics.
-*Please use the link below to access the tutorials on '''PhET simulations'''.
+* Please use the link below to access the tutorials on '''PhET simulations'''.
 |-
@@ Line 56: / Line 58: @@
 '''PhET simulations'''
-||In this tutorial, we will use the '''Number Line: Operations PhET simulation.'''
+||In this tutorial, we will use the '''Number Line: Operations PhET simulation'''.
 |-
@@ Line 80: / Line 82: @@
 ||The interface has four screens:
-'''Chips''', '''Net Worth''', '''Operations''', and '''Generic'''
+'''Chips''', '''Net Worth''', '''Operations''', and '''Generic'''.
 |-
@@ Line 88: / Line 90: @@
 |-
 ||Point to the number line
-||The screen has a '''number line '''to represent the total amount of chips or coins.
+||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.
+||The total can also be viewed at the top of the screen in the '''Total ''' box.
 |-
@@ Line 115: / Line 117: @@
-'''Operation Descriptions, Operation Labels, '''and''' Tick Marks'''
+'''Operation Descriptions''', '''Operation Labels''', and ''' Tick Marks'''.
@@ Line 153: / Line 155: @@
 |-
 ||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.
@@ Line 199: / Line 196: @@
 |-
 ||Point to the left panel next to the '''Negatives''' bag
-||Let us put the -5 chip in the '''Negatives '''bag.
+||Let us put the -5 chip in the '''Negatives ''' bag.
 |-
@@ Line 240: / Line 237: @@
 |-
-||Click on the '''Net Worth '''screen
+||Click on the '''Net Worth ''' screen.
 ||Click on the '''Net Worth''' screen.
@@ Line 248: / Line 245: @@
-Assets are items that a person owns which have value.
+'''Assets''' are items that a person owns which have value.
 |-
@@ Line 282: / Line 279: @@
 ||After performing these operations, the final net worth of a person is $100.
 |-
-||Click on the '''Operations''' screen
+||Click on the '''Operations''' screen.
 ||Click on the '''Operations''' screen.
@@ Line 301: / Line 298: @@
 |-
 ||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.
@@ Line 338: / Line 332: @@
 ||Point to the '''Net Worth''' box
-Point to Simplify button
+Point to equals button.
-−
-−
-−
 Point to equals button
 ||The '''Net Worth''' box next to it displays the net worth amount.
@@ Line 358: / Line 349: @@
 '''Operation Descriptions''', '''Operation Labels''', '''Point Labels ''' and ''' Tick Marks'''.
 We can use these check boxes to show and hide the details.
@@ Line 412: / Line 402: @@
 |-
 ||Point to the '''Net Worth''' box
-||The net worth is now 200 + (-300) +500.
+||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.
 ||Click and hold the '''equals''' button.
@@ Line 481: / Line 470: @@
 * Add integers on the '''number line'''
 * Subtract integers on the '''number line'''
-* Calculate the additive inverse
+* Calculate the additive inverse.
 |-
@@ Line 490: / Line 479: @@
 ||As an assignment,
-Use the '''Operations''' screen to calculate the net worth in different scenarios.
+. Use the '''Operations''' screen to calculate the net worth in different scenarios.
-Open the '''Generic''' screen and choose the two numerical expressions option.
+. Open the '''Generic''' screen and choose the two numerical expressions option.
-Then perform the steps shown in this table.
+. Then perform the steps shown in this table.
-Compare the different operations on integers.
+. Compare the different operations on integers.
@@ Line 511: / Line 500: @@
 * conducts workshops using spoken tutorials and
 * gives certificates on passing online tests.
+* For more details, please write to us.
 For more details, please write to us.
 |-

@@ Line 7: / Line 7: @@
 ||'''Visual Cue'''
 ||'''Narration'''
-|-
+|-https://script.spoken-tutorial.org/index.php?title=PhET-Simulations-for-Mathematics/C2/Number-Line---Operations/English&action=edit
 ||'''Slide Number 1'''
@@ Line 273: / Line 273: @@
 ||See the following table.
-*Pause the video here and perform these transactions using the '''Net Worth''' screen.
+Pause the video here and perform these transactions using the '''Net Worth''' screen.
-*Calculate the net worth of a person.
-*:(Note: See table 1)
+It will calculate the net worth of a person.
 |-
@@ Line 286: / Line 287: @@
 |-
 ||Point to the number line
-||The screen has a '''number line '''to represent net worth.
+||The screen has a '''number line ''' to represent net worth.
 |-
@@ Line 322: / Line 323: @@
 Click the down arrow.
 Scroll the right arrow to move to right slide.
@@ Line 349: / Line 347: @@
-We can click the Simplify button to simplify negative signs in the expression.
+We can click the '''Simplify''' button to simplify negative signs in the expression.
-We can click the equals button to evaluate the expression.
+We can click the '''equals''' button to evaluate the expression.
 |-
-||Point to the information checkboxes
+||Point to the information check boxes
-||On the top left, we have the following checkboxes.
+||On the top left, we have the following check boxes.
-'''Operation Descriptions, Operation Labels, Point Labels '''and''' Tick Marks'''
+'''Operation Descriptions''', '''Operation Labels''', '''Point Labels ''' and ''' Tick Marks'''.
-We can use these checkboxes to show and hide the details.
+We can use these check boxes to show and hide the details.
 |-
@@ Line 394: / Line 392: @@
 We have already learned this concept.
-Adding a negative number has the same effect as subtracting its additive inverse
+Adding a negative number has the same effect as subtracting its additive inverse.
 |-
@@ Line 457: / Line 455: @@
 |-
-||Point to the information checkboxes
+||Point to the information check boxes
-||On the top left, we have the following checkboxes.
+||On the top left, we have the following check boxes.
-'''Operation Labels, Point Labels '''and''' Tick Marks'''
+'''Operation Labels''', '''Point Labels ''' and ''' Tick Marks'''.
@@ Line 471: / Line 469: @@
 |-
-||
+||Only Narration.
-||With this, we have come to the end of this tutorial. Let us summarise.
+||With this, we have come to the end of this tutorial.
 |-
-||'''Slide number 8'''
+||'''Slide Number 8'''
 '''Summary'''
@@ Line 488: / Line 488: @@
 '''Assignment'''
 |-
@@ Line 512: / Line 510: @@
 || The Spoken Tutorial Project team:
-*conducts workshops using spoken tutorials and
+* conducts workshops using spoken tutorials and
-*gives certificates on passing online tests.
+* gives certificates on passing online tests.
 For more details, please write to us.