When you open GeoGebra
, you’ll see several windows. These are called views. If you don’t see any, you can find them under View
in Menu
. The most important ones are:
Algebra View
– Used to save expressions, functions and values. Objects that are in CAS
are stored here as well.
CAS
(Computer Algebra System)
– Used to perform calculator tasks, such as expanding algebraic expressions, solving equations, factorization, differentiation, integration and more.
Graphics View
– Used to plot graphs. You can easily change the name, style and layout of your graphs. Right-click the graph and click Gear (Settings)
. Make any changes to your graphs here.
Spreadsheet
– Used to make lists, perform regression analyses and conduct various statistical computations.
Probability Calculator
– Used to compute probabilities.
All the views in GeoGebra
have their own list of tools at the top, the Toolbar
(F) for that specific view. If you click on any tool in the Toolbar
, you’ll open a toolbox. The toolboxes are divided by category. For instance, the sixth toolbox in Graphics View
contains tools for drawing circles.
The tools can do common tasks in mathematics for you. To use them, click on the icon within the boxes.
GeoGebra
also features tools in the form of commands. To execute a command, enter it in CAS
. Some of the most common commands work in Algebra View
as well. For example, if you want to factor the number 15, enter the command
Factor
in CAS
, then select Factor(<Number>)
from the list of suggestions. Replace the <Number>
field with 15 and press Enter
. CAS
will print the answer $3\cdot 5$.
Many commands have multiple variations for different kinds of input. You probably saw that there are two variations of Factor
: Factor(<Number>)
and Factor(<Polynomial>)
. If you insert a polynomial into Factor(<Number>)
, the polynomial will actually not be factored! Make sure you pick the correct variation of the command.
Saving an object (like a function or a figure) in GeoGebra
is known as defining that object.
You can define functions and variables to have specific expressions or variables in GeoGebra
by typing
<Variable Name>=<Value or Expression>
in Algebra View
, using one row for each object.
Example 1
To define the function $f(x)=2x+1$ in Algebra View
, type f=2x+1
in an empty row and press Enter
.
Note! In CAS
, you must type :=
instead of =
to define your objects. If you’re defining a function, you need to specify a name for its variable as well.
Example 2
To define the function $f(x)=2x+1$ in CAS
, type f(x):=2x+1
in an empty row and press Enter
.