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

Title: Number Line: Operations

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

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 checkboxes 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 checkboxes 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	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.

Contributors and Content Editors

Madhurig, Nancyvarkey, RadhikaYadav