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GeoGebra is a dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus.
On the one hand, GeoGebra is a dynamic geometry system. You can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards.
On the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum.
The GeoGebraWiki is a free pool of educational materials for GeoGebra. Everyone can contribute and upload materials there:
International GeoGebraWiki - pool of educational materials for GeoGebra and the German GeoGebraWiki
The Dynamic Worksheets
GeoGebra can also be used to create dynamic worksheets:
Pythagoras
visualisation of Pythagoras' theorem
Ladder against the Wall
application of Pythagoras' theorem
Circle and its Equation
connection between a circle's center, radius and equation
Slope and Derivative of a Function (3 sheets)
relation between slope, derivative and local extrema of a function
Derivative of a Polynomial
interactive exercise to practice finding the derivative of a cubic polynomial
Upper- and Lower Sums of a Function
visualisation of the backgrounds of Riemann's Integral
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