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[http://karnatakaeducation.org.in/KOER/index.php/%E0%B2%9C%E0%B2%BF%E0%B2%AF%E0%B3%8B%E0%B2%9C%E0%B3%80%E0%B2%AC%E0%B3%8D%E0%B2%B0%E0%B2%BE_%E0%B2%95%E0%B2%B2%E0%B2%BF%E0%B2%AF%E0%B2%BF%E0%B2%B0%E0%B2%BF ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]'' <small>[https://teacher-network.in/OER/hi/index.php/%E0%A4%9C%E0%A4%BF%E0%A4%AF%E0%A5%8B%E0%A4%9C%E0%A5%87%E0%A4%AC%E0%A5%8D%E0%A4%B0%E0%A4%BE_%E0%A4%B8%E0%A5%80%E0%A4%96%E0%A4%BF%E0%A4%8F हिंदी में देखें]''
[https://karnatakaeducation.org.in/KOER/index.php/Special:ShortUrl/50h ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''[https://teacher-network.in/OER/hi/index.php/जियोजेब्रा_सीखिए हिंदी में देखें]''
===Introduction===
===Introduction===
====Basic information====
====Basic information====
====Installation====
====Installation====
=====For Ubuntu=====
#The application is part of the Ubuntu custom distribution.
#The application is part of the Ubuntu custom distribution.
#In case you do not find it on your computer, you can install by typing <code>Geogebra</code> on top search bar in Software Centre.
#In case you do not find it on your computer, you can install by typing <code>Geogebra</code> on top search bar in Software Centre.
##<code>sudo apt-get install geogebra</code>
##<code>sudo apt-get install geogebra</code>
=====For Microsoft Windows=====
# Download "GeoGebra Classic 6" file by clicking this '''[https://download.geogebra.org/package/win-autoupdate link]'''
# Locate and double-click the .exe file. (It will usually be in your Downloads folder.)
# A Installation dialog box will appear. Follow the instructions to install the software.
# The software will be installed. You can now open the Geogebra application by double clicking on geogebra icon on the desktop screen.
=====For MAC=====
# Click on Download option for "GeoGebra Classic 6" file from this [https://download.geogebra.org/package/mac-port link]
# Unzip the downloaded folder.
# Double click on Geogebra Discovery.
===== For Android Mobile =====
# Download "Geogebra app" in your android device by clicking this [https://play.google.com/store/apps/details?id=org.geogebra.android.calculator.suite link]
===Working with the application===
===Working with the application===
</gallery>
</gallery>
The above images show you the Geogebra window. After opening Geogebra, you will see the application window as in the second image. The user can define the graphics view in terms of the axes, the grid, scale of the axes, etc. From the View option you can define the number of views you want to see - in this third image, three views are shown - the algebra view, the graphics view and the 3D view. In this handbook, we will primarily discuss the 2D window.
The above images show you the Geogebra window. After opening Geogebra, you will see the application window as in the second image. The user can define the graphics view in terms of the axes, the grid, scale of the axes, etc. From the View option you can define the number of views you want to see - in this third image, three views are shown - the algebra view, the graphics view and the 3D view. In this handbook, we will primarily discuss the 2D window.
====Changing language ====
You can change your Geogebra application interface language from English to any other regional languages.
[[File:Changing the language.gif]]
====Using the tool bar - basic ====
====Using the tool bar - basic ====
File:Geogebra4.png|Moving by rotating around a point
File:Geogebra4.png|Moving by rotating around a point
</gallery>
</gallery>
<gallery mode="packed" heights="250px">
<gallery mode="packed" heights="200px">
File:Geogebra 2 New point.png|Plotting points menu
File:Geogebra 2 New point.png|Plotting points menu
File:Geogebra 3 segment between Two points.png|Lines and segment menu
File:Geogebra 3 segment between Two points.png|Lines and segment menu
File:Geogebra6_circle.png|Circle with centre and given radius
File:Geogebra6_circle.png|Circle with centre and given radius
</gallery>
</gallery>
The Geogebra tool bar is very versatile - the construction follows the processes that we would normally follow in paper and pen construction. Some six important categories in the tool bar are discussed below:
The Geogebra toolbar is very versatile - the construction follows the processes that we would normally follow in paper and pen construction. Some six important categories in the toolbar are discussed below:
#Moving objects:Geogebra allows you to move object constructed freely by dragging the object. You can also select an object and move it by rotating aroung a point.
#Moving objects:Geogebra allows you to move an object constructed freely by dragging the object. You can also select an object and move it by rotating aroung a point.
#Plotting points: There are different ways of plotting points on the Geogebra graphics pad. You can plot a point anywhere on the graphics view - this is a free point. You can also plot on an object or as an intersection of two objects; in both the cases the point is a dependent object.
#Plotting points: There are different ways of plotting points on the Geogebra graphics pad. You can plot a point anywhere on the graphics view - this is a free point. You can also plot on an object or as an intersection of two objects; in both cases, a point is a dependent object.
#Drawing lines: The menu for lines and segments also allows multiple constructions - segments,lines, rays and vectors
#Drawing lines: The menu for lines and segments also allows multiple constructions - segments, lines, rays and vectors
#Drawing multiple lines: Multiple lines can also be drawn in Geogebra. Parallel lines, perpendicular lines, angle bisectors and perpendicular bisectors can be drawn.
#Drawing multiple lines: Multiple lines can also be drawn in Geogebra. Parallel lines, perpendicular lines, angle bisectors and perpendicular bisectors can be drawn.
#Drawing circles - You can draw circle, circular arcs and sectors using this tool.
#Drawing circles - You can draw a circle, circular arcs and sectors using this tool.
[[File:Tool bar help enabling it if it is not enabled .gif]] <br>
You can enable toolbar help option which will give you instruction on how to use the selected tool from the toolbar. see the above animation to know to enable this feature.
=====Labelling and formatting objects in Geogebra=====
In geogebra you can label to all the objects but when you are creating sketches geogebra itself will label the object and you can change it manually (see the below animation for the steps). After you create the objects like points, lines, closed For closed Curves and regions you can change the shapes and colours using the Style tab of Menu-options (see the below animations to know the steps).
<gallery mode="packed" heights="250px" caption="Labelling and formatting objects in Geogebra">
File:Object labeling in geogebra.gif| Object labeling in Geogebra
File:2. Display options of objects - points.gif | Display options of objects - points
File:3._Display_options_of_objects_-_angles_and_lines.gif | Display options of objects - angles and lines
File:Changing labels in geogebra.gif | Changing labels
</gallery>
===== Measuring objects in Geogebra=====
You can also measure the objects you have created in Geogebra - the following GIF animations will show you how to use these features.
<gallery mode="packed" heights="300px" caption="Measuring objects in Geogebra">
File:Measuring_angle_in_geogebra.gif | Measuring angles
File:Measuring segments - by selecting two end points and by selecting the segment.gif | Measuring segments - by selecting two endpoints and by selecting the segment
File:Measuring_area_-_after_describing_the_given_figure_as_a_polygon_500.gif | Measuring area - after describing the given figure as a polygon
File:Measuring perimeter of a polygon or circle.gif | Measuring the perimeter of a polygon or circle
</gallery>
====Using the tool bar - advanced features====
====Using the tool bar - advanced features====
The above set of images show how to work with some advanced features in the Geogebra tool bar.
The above set of images show how to work with some advanced features in the Geogebra tool bar.
#Creating a polygon: The first image shows how to create a polygon by marking the vertices (by plotting points) and completing the polygon.
#Creating a polygon: The first image shows how to create a polygon by marking the vertices (by plotting points) and completing the polygon.
#Adding a textbox:You can add a text box in the Geogebra file as shown here by clicking on the textbox and clicking anywhere on the graphics view. You will get a box for typing the text you would like to add. Once the text is entered, as shown in the second image, you can right click on the text and after going into Object Properties,format it.
#Adding a textbox:You can add a text box in the Geogebra file as shown here by clicking on the textbox and clicking anywhere on the graphics view. You will get a box for typing the text you would like to add. Once the text is entered, as shown in the second image, you can right-click on the text and after going into Object Properties, format it.
#Angle measurement: The third image shows you how to mark and measure angles. The Geogebra angle tool uses the convention of measuring angles counterclockwise. You can also construct angles with given measure.
#Angle measurement: The third image shows you how to mark and measure angles. The Geogebra angle tool uses the convention of measuring angles counterclockwise. You can also construct angles with the given measure.
#Length measurement: You can also measure sides and lengths as shown in the fourth image. Once you have measured angles and sides, you can drag and move the measurements and lebel to be shown where you would like them to be. This drop down menu also has an option to calculate area.
#Length measurement: You can also measure sides and lengths as shown in the fourth image. Once you have measured angles and sides, you can drag and move the measurements and label to be shown where you would like them to be. This drop down menu also has an option to calculate the area.
#Rotation and reflection: As you explore symmetry and congruence, rotating and reflecting an object will be useful to do. In the first of the set of two images, "Rotating and reflecting", the polygon has been rotated by 45 degrees counterclockwise, at a vertex. As in the case of angle measurement, the rotation can be specified to be clockwise or counter clockwise. In the second image the rotated polygon is reflected along a side.
#Rotation and reflection: As you explore symmetry and congruence, rotating and reflecting an object will be useful to do. In the first of the set of two images, "Rotating and reflecting", the polygon has been rotated by 45 degrees counterclockwise, at a vertex. As in the case of angle measurement, the rotation can be specified to be clockwise or counter clockwise. In the second image, the rotated polygon is reflected along a side.
#Inserting image: In the last set of images you see an image being inserted in the Geogebra graphics view. Once you click on insert image, you need to click anywhere on the graphics view to specify the point where the image is to be inserted. Once you click on that, a dialog box will open from where you can choose the image to be inserted.
#Inserting image: In the last set of images you see an image being inserted in the Geogebra graphics view. Once you click on insert image, you need to click anywhere on the graphics view to specify the point where the image is to be inserted. Once you click on that, a dialog box will open from where you can choose the image to be inserted.
====Using the input bar====
====Using the input bar====
Use object properties tool bar to add label for the object, renaming, to change the color and many more. Follow below gifs file to to it in your geogebra.
Use object properties tool bar to add label for the object, renaming, to change the color and many more. Follow below gifs file to to it in your geogebra.
#The 3D window allows you to visualize the geometry along 3-axes. You can rotate the graphics view using the same icon that you used for the Move graphics view. You can independently work on the 2D and 3D windows and the construction on one window will get reflected in the other.
#The 3D window allows you to visualize the geometry along 3-axes. You can rotate the graphics view using the same icon that you used for the Move graphics view. You can independently work on the 2D and 3D windows and the construction on one window will get reflected in the other.
#The 3D window allows you to construct solid figures by extruding from a 2-dimensional shapes. Other features include construction of a plane, rotation, reflection., etc. The slider defined in the 2D window will help animate in the 3D window also.
#The 3D window allows you to construct solid figures by extruding from a 2-dimensional shapes. Other features include construction of a plane, rotation, reflection., etc. The slider defined in the 2D window will help animate in the 3D window also.
====Construction Protocol====
<gallery mode="packed" heights="250px" caption="Using the Construction Protocol">
File:Construction_Protocol.png|Construction Protocol
File:Navigation_Bar.png|Navigation Bar
</gallery>
#You can access the Construction Protocol option in the View Menu.The Construction Protocol is a table that shows all construction steps,allowing you to redo a construction step by step.
#Using the Navigation Bar you can also animate the construction steps.Enable Navigation Bar on right click in the Graphics View, then select the Navigation bar option in the Context Menu displayed.You can use the keyboard and mouse to navigate and modify in the Construction Protocol.
==== Hide and show objects ====
In Geogebra you can hide any objects and values and you can show it back when you need to display it on the screen. <br>
[[File:Show or hide labels and objects.gif]]
==== Rounding the value ====
To make a rounding of any measurement values, to do that go to options from the menu bar, click on rounding option and selecting decimal places (see the below animation to know the steps) <br>
[[File:Rounding value in geogebra.gif]]
==== Using Geogebra to make a given sketch ====
==== Using Geogebra to make a given sketch ====
#You can also export the Geogebra file as an image (.png format) or as an animated graphic (.gif format).
#You can also export the Geogebra file as an image (.png format) or as an animated graphic (.gif format).
#If you export the Geogebra file as html you can publish it on the repository for Geogebra files.
#If you export the Geogebra file as html you can publish it on the repository for Geogebra files.
==== See mobile view of geogebra from your laptop browser ====
To show geogebra mobile app view from your computer, In mozilla firefox web browser > Open "[https://www.geogebra.org/calculator '''https://www.geogebra.org/calculator''']" > right click in next to geogebra title > select "inspect element" > "Responsive design mode".
<gallery mode="packed" heights="250px">
File:1. Geogebra, select inspect elements - In firfox.png|Right click next to geogebra title and select '''inspect element'''
File:2. Responsive design mode.png|Click "'''responsive design mode'''"
</gallery>
This will change online geogebra calculator into Mobile view. once it shows mobile view, close the inspect element window and press "F11" (or fn+F11) function keys to make your screen full view.
====Advanced features====
====Advanced features====
ɤ̃ The Geogebra repository http://geogebra.org has millions of Geogebra resources, worksheets on almost every topic in Mathematics. This website is a real resource for all Maths teachers. Teachers can also upload their own creations on this repository since it is an Open Educational Resource (OER) repository. This will be specially useful for resources / Geogebra resources developed in Indian languages, which will be useful to students studying in those medium of instruction.
ɤ̃ The Geogebra repository http://geogebra.org has millions of Geogebra resources, worksheets on almost every topic in Mathematics. This website is a real resource for all Maths teachers. Teachers can also upload their own creations on this repository since it is an Open Educational Resource (OER) repository. This will be specially useful for resources / Geogebra resources developed in Indian languages, which will be useful to students studying in those medium of instruction.
===Additional Resources===
==== See simple animations to learn Geogebra functions / steps (GIF) ====
# [https://teacher-network.in/OER/images/2/2c/Changing_the_language.gif Changing the language]
# [https://teacher-network.in/OER/images/4/4a/Tool_bar_help_enabling_it_if_it_is_not_enabled_.gif Tool bar help enabling it if it is not enabled]
# [https://teacher-network.in/OER/images/e/ea/Object_labeling_in_geogebra.gif Object labeling in geogebra]
# [https://teacher-network.in/OER/images/5/57/2._Display_options_of_objects_-_points.gif Display options of objects - points]
# [https://teacher-network.in/OER/images/5/50/3._Display_options_of_objects_-_angles_and_lines.gif Display options of objects - angles and lines]
# [https://teacher-network.in/OER/images/4/4c/Changing_labels_in_geogebra.gif Changing labels in geogebra]
# [https://teacher-network.in/OER/images/2/2c/Measuring_angle_in_geogebra.gif Measuring angle in geogebra]
# [https://teacher-network.in/OER/images/1/13/Measuring_segments_-_by_selecting_two_end_points_and_by_selecting_the_segment.gif Measuring segments - by selecting two end points and by selecting the segment]
# [https://teacher-network.in/OER/images/a/a5/Measuring_area_-_after_describing_the_given_figure_as_a_polygon_500.gif Measuring area - after describing the given figure as a polygon]
# [https://teacher-network.in/OER/images/1/10/Measuring_perimeter_of_a_polygon_or_circle.gif Measuring perimeter of a polygon or circle]
# [https://teacher-network.in/OER/images/a/a9/Show_or_hide_labels_and_objects.gif Show or hide labels and objects]
# [https://teacher-network.in/OER/images/4/41/Rounding_value_in_geogebra.gif Rounding value in geogebra]
===References===
===References===
