Difference between revisions of "PhET-Simulations-for-Mathematics/C2/Number-Line---Integers/English"

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Title: Number Line: Integers
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'''Title of the Script: Number Line: Integers'''
  
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Keywords: PhET simulation, number line, integers, comparison, absolute value, temperature, sea level, spoken tutorial, video tutorial.
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'''Author''': Radhika Yadav
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 +
'''Keywords''': PhET simulation, number line, integers, comparison, absolute value, temperature, sea level, spoken tutorial, video tutorial.
  
  
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'''Title Slide'''
 
'''Title Slide'''
 
||  Welcome to this Spoken Tutorial on '''Number Line: Integers'''.
 
||  Welcome to this Spoken Tutorial on '''Number Line: Integers'''.
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−
 
  
 
|-
 
|-
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* Compare integers on the number line
 
* Compare integers on the number line
 
* Change the relative positions of integers on the number line
 
* Change the relative positions of integers on the number line
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|-
 
|-
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'''System Requirements'''
 
'''System Requirements'''
 
||  This tutorial is recorded using,
 
||  This tutorial is recorded using,
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+
* '''MacOS Catalina''' version 10.15.7
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macOS Catalina version 10.15.7
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* '''Google Chrome''' version 101.0.49
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+
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Google chrome version 101.0.49
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|-
 
|-
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'''https://spoken-tutorial.org'''
 
'''https://spoken-tutorial.org'''
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−
 
−
 
 
||  To follow this tutorial,
 
||  To follow this tutorial,
  
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Please use the link below to access the tutorials on '''PhET simulations'''.
 
Please use the link below to access the tutorials on '''PhET simulations'''.
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−
 
  
 
|-
 
|-
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'''https://phet.colorado.edu/en/simulations/number-line-integers'''
 
'''https://phet.colorado.edu/en/simulations/number-line-integers'''
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||  Please use the given link to download the '''PhET''' '''simulation'''.
+
||  Please use the given link to download the '''PhET simulation'''.
 
|-
 
|-
 
|| '''Slide Number 6'''
 
|| '''Slide Number 6'''
  
 
'''PhET simulations'''
 
'''PhET simulations'''
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+
||  In this tutorial, we will use the '''Number Line: Integers PhET simulation'''.
−
 
+
−
 
+
−
||  In this tutorial, we will use the '''Number Line: Integers''' '''PhET simulation'''.
+
  
 
|-
 
|-
 
|| Point to the simulation in the Downloads folder
 
|| Point to the simulation in the Downloads folder
−
 
  
 
'''Number Line: Integers simulation'''
 
'''Number Line: Integers simulation'''
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−
 
−
 
 
||  I have already downloaded the '''simulation''' to my '''Downloads''' folder.
 
||  I have already downloaded the '''simulation''' to my '''Downloads''' folder.
 
|-
 
|-
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The file will open in your default browser.
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The file will open in your default '''browser'''.
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+
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+
  
 
|-
 
|-
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|| Point to each screen
 
|| Point to each screen
 
||  The interface has two screens, '''Explore''' and '''Generic'''
 
||  The interface has two screens, '''Explore''' and '''Generic'''
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−
 
  
 
|-
 
|-
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|-
 
|-
 
|| Point to the number line.
 
|| Point to the number line.
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||  The screen has a vertical '''number line ''' to depict the elevation of objects.
+
||  The screen has a vertical '''number line''' to depict the elevation of objects.
 
|-
 
|-
 
|| Point to the '''Objects''' box.
 
|| Point to the '''Objects''' box.
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||  This is the '''Objects '''box at the bottom of the screen. We can drag and place objects on the number line.
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||  This is the '''Objects '''box at the bottom of the screen.  
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+
  
 +
We can drag and place objects on the number line.
  
 
|-
 
|-
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The last is the comparison of temperatures of different locations.
 
The last is the comparison of temperatures of different locations.
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−
 
  
 
|-
 
|-
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−
'''Number Line''', '''Labels''',  and ''' Absolute Value'''
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'''Number Line''', '''Labels''',  and ''' Absolute Value'''.
  
  
 
We can use these check boxes to show and hide the details.
 
We can use these check boxes to show and hide the details.
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−
 
  
 
|-
 
|-
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Their position from the sea level is represented on the number line.
 
Their position from the sea level is represented on the number line.
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−
 
  
 
|-
 
|-
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It also tells us the direction of the three objects.
 
It also tells us the direction of the three objects.
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−
 
  
 
|-
 
|-
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Using these arrows, we can view the comparison in ascending or descending order.
 
Using these arrows, we can view the comparison in ascending or descending order.
−
 
−
 
  
 
|-
 
|-
 
|| Point to the sea level on the screen.
 
|| Point to the sea level on the screen.
 
||  Note that an object can also be placed on the surface of the sea.
 
||  Note that an object can also be placed on the surface of the sea.
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−
 
  
 
|-
 
|-
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|| Point to the number line.
 
|| Point to the number line.
 
||  In this case, it is represented as 0 on the number line.
 
||  In this case, it is represented as 0 on the number line.
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−
 
  
 
|-
 
|-
 
|| Click on the second scenario.
 
|| Click on the second scenario.
 
||  Let us select the second scenario.
 
||  Let us select the second scenario.
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−
 
  
 
|-
 
|-
 
|| Point to the number line.
 
|| Point to the number line.
 
||  This number line represents bank account balance.
 
||  This number line represents bank account balance.
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−
 
  
 
|-
 
|-
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We can also drag the objects on the number line.
 
We can also drag the objects on the number line.
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−
 
  
 
|-
 
|-
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The object gets bigger and moves 5 places to the right on the number line.
 
The object gets bigger and moves 5 places to the right on the number line.
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−
 
  
 
|-
 
|-
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The object gets smaller and moves 3 places to the left on the number line.
 
The object gets smaller and moves 3 places to the left on the number line.
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−
 
  
 
|-
 
|-
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'''Transactions table'''
 
'''Transactions table'''
 +
 +
(Note: See table 1)
 
||  Now, let us perform the following transactions in the simulation.
 
||  Now, let us perform the following transactions in the simulation.
  
  
 
They represent weekly activities of two different people.
 
They represent weekly activities of two different people.
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−
 
−
(Note: See table 1)
 
−
 
  
  
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Its relative position from the origin is plus 30.
 
Its relative position from the origin is plus 30.
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−
 
  
 
|-
 
|-
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This is represented on the number line.
 
This is represented on the number line.
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|-
 
|-
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Users can change the values in the two bank accounts and check the differences.
 
Users can change the values in the two bank accounts and check the differences.
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−
 
  
 
|-
 
|-
 
|| Click on the third scenario.
 
|| Click on the third scenario.
 
||  Let us select the third scenario.
 
||  Let us select the third scenario.
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−
 
  
 
|-
 
|-
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The ''''Fahrenheit''' scale is chosen by default.
 
The ''''Fahrenheit''' scale is chosen by default.
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−
 
  
 
|-
 
|-
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January is chosen by default.
 
January is chosen by default.
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−
 
  
 
|-
 
|-
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It will show us the temperature purely in terms of its magnitude.
 
It will show us the temperature purely in terms of its magnitude.
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−
 
  
 
|-
 
|-
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This is represented as 24 degrees Celsius on the number line.
 
This is represented as 24 degrees Celsius on the number line.
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−
 
  
 
|-
 
|-
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This is represented as 19 degrees Celsius on the number line.
 
This is represented as 19 degrees Celsius on the number line.
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−
 
  
 
|-
 
|-
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This is represented as -33 degrees Celsius on the number line.
 
This is represented as -33 degrees Celsius on the number line.
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−
 
  
 
|-
 
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-33 is less than 19 which is less than 24.
 
-33 is less than 19 which is less than 24.
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−
 
  
 
|-
 
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And temperatures below 0 degrees are represented as negative integers.
 
And temperatures below 0 degrees are represented as negative integers.
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−
 
  
 
|-
 
|-
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'''Temperature Comparison table'''
 
'''Temperature Comparison table'''
−
||  This table represents the temperatures of 3 different locations over 5 months.
+
 
  
 
(Note: See table 2)
 
(Note: See table 2)
 +
||  This table represents the temperatures of 3 different locations over 5 months.
  
  
 
It indicates the change in the climatic conditions in various parts of the world.
 
It indicates the change in the climatic conditions in various parts of the world.
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−
 
  
 
|-
 
|-
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The Generic screen has some new tools.
 
The Generic screen has some new tools.
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−
 
  
 
|-
 
|-
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-10 to 10 is chosen by default.
 
-10 to 10 is chosen by default.
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−
 
  
 
|-
 
|-
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'''Horizontal''' is chosen by default.
 
'''Horizontal''' is chosen by default.
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−
 
  
 
|-
 
|-
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We can use these check boxes to show and hide the details.
 
We can use these check boxes to show and hide the details.
−
 
−
 
  
 
|-
 
|-
 
|| Point to the number line
 
|| Point to the number line
 
||  Explore the '''Generic''' screen to understand the number line concepts generally.
 
||  Explore the '''Generic''' screen to understand the number line concepts generally.
−
 
−
 
  
 
|-
 
|-
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* Compare integers on the number line
 
* Compare integers on the number line
 
* Change the relative positions of integers on the number line
 
* Change the relative positions of integers on the number line
−
 
  
 
|-
 
|-
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'''Assignment'''
 
'''Assignment'''
 
||  As an assignment,
 
||  As an assignment,
−
 
−
 
 
* Make a comparison table for 2 bank accounts.
 
* Make a comparison table for 2 bank accounts.
 
* Consider all transactions including salary, loan payment and other expenses.
 
* Consider all transactions including salary, loan payment and other expenses.
−
 
−
 
−
 
  
 
|-
 
|-
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'''Assignment'''
 
'''Assignment'''
−
 
−
 
  
 
||  Here is another assignment for you.
 
||  Here is another assignment for you.
−
 
  
 
# Arrange the numbers in ascending order, –11, 8, -6, -2, 2, 5.
 
# 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 missing numbers in the number line: __, -8, __, 8, __, 24, __, 40.
−
 
 
# Complete the following pattern using the number line: -14, -9, -4, 1, 6, __, __, __, __
 
# Complete the following pattern using the number line: -14, -9, -4, 1, 6, __, __, __, __
  
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For more details, please write to us.
 
For more details, please write to us.
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|-
 
|-
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'''Forum for specific questions'''
 
'''Forum for specific questions'''
 +
||  Please post your timed queries in this forum.
  
−
 
−
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'''
 
|| '''Slide number 15'''
  
 
'''Acknowledgment'''
 
'''Acknowledgment'''
−
 
−
 
  
 
||  The Spoken Tutorial project is funded by the Ministry of Education, Government of India.
 
||  The Spoken Tutorial project is funded by the Ministry of Education, Government of India.
−
 
−
 
  
 
|-
 
|-

Latest revision as of 15:06, 28 February 2023

Title of the Script: Number Line: Integers

Author: Radhika Yadav

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


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

(Note: See table 1)

Now, let us perform the following transactions in the simulation.


They represent weekly activities of two different people.


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


(Note: See table 2)

This table represents the temperatures of 3 different locations over 5 months.


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.
  1. Arrange the numbers in ascending order, –11, 8, -6, -2, 2, 5.
  2. Complete the missing numbers in the number line: __, -8, __, 8, __, 24, __, 40.
  3. 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

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.

Contributors and Content Editors

Madhurig, Nancyvarkey, RadhikaYadav

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