Mathematical ideas dynamised:
Creating animation in GeoGebra with geometric transformations
- October 30th, 2024 -
Department of Mathematics
University of Bari Aldo Moro, Italy 🇮🇹
Sergio Rubio-Pizzorno | 🇲🇽🇨🇱
Phd student (last year) in Science with specialization in Mathematics Education
GeoGebra Ambassador
Center for Research and Advanced Studies (Cinvestav) - México 🇲🇽
![](https://www.geogebra.org/resource/pgtgakn5/ao7cvcm5e730AzLV/material-pgtgakn5.png)
![](https://www.geogebra.org/resource/cashstx6/OHoms20NSbZv9IHM/material-cashstx6.png)
Department of Mathematics Education
Seminar
![](https://www.geogebra.org/resource/ymhvfpns/sJYLq8B5BxPMtAUS/material-ymhvfpns.png)
Créditos
Taller "Herramientas GeoGebra para la Educación en línea" por Sergio Rubio-Pizzorno se distribuye bajo una Licencia Creative Commons Atribución-NoComercial 4.0 Internacional.
Basada en una obra en https://slides.com/zergiorubio/2020-taller-11eical .
BY
NC
![](https://www.geogebra.org/resource/z4adkts3/s3GvMhfAiHuSZvzt/material-z4adkts3.png)
What is the important idea?
![](https://www.geogebra.org/resource/abupgnsk/Xj2GJ6o497CMmymK/material-abupgnsk.png)
Translation
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Open GeoGebra.
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Change the view to Geometry.
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Create a quadrilateral.
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Create an arbitrary vector.
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Translate the quadrilateral by the vector.
- ⚠️Do not close the windows⚠️
![](https://www.geogebra.org/resource/kvkkqwxe/GeCg3x0PpuFJa2gJ/material-kvkkqwxe.png)
Rotation
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Open (a new window of) GeoGebra.
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Change the view
to Geometry. -
Create a quadrilateral.
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Create a point outside the quadrilateral.
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Rotate the quadrilateral around the point by an angle of 180° (counter clockwise).
- ⚠️Do not close the windows⚠️
![](https://www.geogebra.org/resource/k6abm78g/gJ7ojb70v5pzcEBG/material-k6abm78g.png)
Static transformation
![](https://www.geogebra.org/resource/k6abm78g/gJ7ojb70v5pzcEBG/material-k6abm78g.png)
![](https://www.geogebra.org/resource/kvkkqwxe/GeCg3x0PpuFJa2gJ/material-kvkkqwxe.png)
Static Dynamic transformation
![](https://www.geogebra.org/resource/jgswnfrm/WuC0tQdIJVXmZIH9/material-jgswnfrm.png)
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Go to the Translation GeoGebra file.
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Create a slider:
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Name: animate
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Number.
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Interval: 0 to 1.
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Increment: 0.1
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Show the Input Bar.
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Animate the translation:
Translate [q1,u*animate] -
Change the value of the slider.
![](https://www.geogebra.org/resource/eaytc5pz/0YqPQ0ct9VASLehD/material-eaytc5pz.png)
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Go to the Rotation GeoGebra file.
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Create a slider:
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Name: animate
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Angle.
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Interval: 0° to 180°.
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Increment: 1°
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Show the Input Bar.
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Animate the rotation:
Rotate [q1,animate,E] -
Change the value of the slider.
![](https://www.geogebra.org/resource/wyjtfesw/jvOYTVO347UOCvRL/material-wyjtfesw.png)
Basic animation
Basic Concatenated animation
![](https://www.geogebra.org/resource/wyjtfesw/jvOYTVO347UOCvRL/material-wyjtfesw.png)
![](https://www.geogebra.org/resource/eaytc5pz/0YqPQ0ct9VASLehD/material-eaytc5pz.png)
![](https://www.geogebra.org/resource/abupgnsk/Xj2GJ6o497CMmymK/material-abupgnsk.png)
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Go to the Translation GeoGebra file.
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Modify the animate slider:
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Interval: 0 to 2.
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Create a second vector.
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Animate the second part of the animation:
Translate(q1', v * If(0 ≤ animate < 1,0,If(1 ≤ animate < 2, animate - 1))) -
Change the value of the slider*.
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Create the SFX 📽️:
- Redo the first part on the animation.
- Modify the visibility of the objects.
![](https://www.geogebra.org/resource/xdxyt9pw/scJvydudwtwNueoe/material-xdxyt9pw.png)
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Open (a new window of) GeoGebra.
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Change the view
to Geometry. -
Create a right triangle.
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Create the squares on their sides.
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Do the dissection.
- ⚠️Do not close the windows⚠️
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Create a single polygon for each dissection.
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Trace the necessary vector.
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Modify the animate slider:
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Interval: 0 to 5.5
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Animate each dissection in a concatenated way.
![](https://www.geogebra.org/resource/abupgnsk/Xj2GJ6o497CMmymK/material-abupgnsk.png)
Grazie mille!
Sergio Rubio-Pizzorno🇲🇽🇨🇱
![](https://www.geogebra.org/resource/zm9e3sfe/hbC9ibZFdDYu07tV/material-zm9e3sfe.png)
![](https://www.geogebra.org/resource/eguq6bxr/m4vmqjneuwjLqe1u/material-eguq6bxr.png)
Mathematical ideas dynamised: Creating animation in GeoGebra with geometric transformations
By Sergio Rubio-Pizzorno
Mathematical ideas dynamised: Creating animation in GeoGebra with geometric transformations
[October 2nd 2024] GeoGebra tools to study Algebra. By Sergio Rubio-Pizzorno for the course NAME of the Prof. PhD Eleonora Faggiano, from the Department of Mathematics at the University of Bari Aldo Moro, (Bari, Italy🇮🇹).
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