1. GEOGEBRA
STD X
SUB : ICT
By
Ms. Aarti G. Borkar
Durgadevi Saraf Jr. College, Malad (W)

2. Introduction
 GeoGebra is dynamic mathematics open source
(free) software combining
geometry, algebra, statistics and calculus for
learning and teaching mathematics in schools.
GeoGebra was specially designed by Markus
Hohenwarter for middle school and
high school students. GeoGebra is multi-
faceted tool. It can be used as both
teaching and learning tool.
To Install GeoGebra :
Open the Internet browser and go to
www.geogebra.org/webstart.
Click on the button called Webstart.

3.  Introduction to the screen :The GeoGebra screen is divided in three sections to
represent mathematical objects in different ways. The
names of the different parts are shown in fig. given
below
ALGEBRA VIEW:
Show and edit all
the
created objects and
functions.
Just double click on
equation to edit it.
GRAPHIC VIEW: Show and
construct
objects and the graphs of
functions.
INPUT BAR: Create new objects, equations and
functions
E.g. Construct the graph ofy = 3x^2 + 4x +6
Type: "y = 3x^2+4x+6" or "y = 3*x^2+4*x+6" and

4. Using the provided geometry tools in the
Toolbar you can create geometric
constructions on the Graphics View with
your mouse. At the same time the
corresponding coordinates and equations
are displayed in the Algebra View.
On the other hand, you can directly enter
algebraic input, commands, and functions
into the Input Bar by using the keyboard.
While the graphical representation of all
objects is displayed in the Graphics View,
their algebraic numeric representation is

5. .Menu
Menu bar is as shown in figure given below.
Options in this menu are used to solve problems.
List of all the sub – options is as shown in figure
given below. It will be easy to work with
“Geogebra” by using above information

6. File Menu Edit Menu

7. View Menu Options Menu

8. Tools Menu

9. .CONSTRUCTION TOOLS
The Second part of Geogebra screen is
construction tools. These tools are used to
solve any problem in „Geogebra ‟.In other
words, these tools are used for solution. In
order to understand use and application of
these tools, we have to study various
problems
Various tools and their names are given
below for introduction purpose
1 2 3 4 5 6 7 8 9 10 11

10. 1 2 3

11. 4 5 6

12. 7 8 9

13. 10 11

14. Angles and Polygons:
• Construction of triangle and
measurement of the
sum of interior angles.
• Construction of a regular polygon.
Perpendicular and Parallel lines:
• Line segment
• Midpoint of a line segment.
• Perpendicular lines.
• Parallel lines.
• Angle bisector.

15. 3.Pythagoras Theorem:
• Construction of right angle
triangle.
• Construction of square on
given side.
• Calculation of area of
polygon.
4 Circle , Chord and Tangent:
• Midpoint of chord.
• Perpendicular to chord from
center.
• Angles on same chord.

16. 5.Graphs and equations:
• Draw a graphs of the given
equation.
• Solve the simultaneous equations by
using graphical method.
6.Statistics:
Mean, Median and Mode:
Method 1: Use the Input bar
Method 2: Use the Input bar
and Spreadsheet View
Drawing a histogram:
Method 1: Use the Input bar
Method 2: Use the Input bar
and Spreadsheet

17. THANKS