Bezier curves

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GeoGebra Creations using Bezier tool

Students’ age:

13/14 years old students

Subject:

computer science/math, grade 8

Project idea:

Using the Bezier tool to model shapes of flowers, plants and animals

Aims:

- getting to know that organic forms can be created with Bezier curves - understanding the algorithm of de Casteljau and geometric way to construct Bezier curves - using a GeoGebra Bezier tool to construct flowers composed of different Bezier curves

Lesson plan:

I showed students bridges and cars with organic forms modeled with Beziers curves, the tool e.g. in WORD and in image editing programs and then a video about the way to construct curves of third degrees. Students then generated a Beziers curve based on 4 (or 5) points with GeoGebra (second or third degree). Then students modelled plants, flowers or animals using a built-in tool e.g. created by Adrian Martin.

Follow-up:

Bezier Alphabeth Game (it was difficult for my students)

Monika Schwarze, PGU Unna (GER)


GeoGebra Creations using Bezier tool

Max – phantasie flower https://www.geogebra.org/m/pKcwagyK#m aterial/E6hM85KR

Elias – a lot of Bezier fisches https://www.geogebra.org/m/pKcwagyK#m aterial/Sc7Sek7g https://www.geogebra.org/m/pKcwagyK#m aterial/E6hM85KR

Kai – Glücksklee www.geogebra.org/m/pKcwagyK #material/KJxNhpDP

Erik – summer flower https://www.geogebra.org/m/pKcwagyK #material/Sc7Sek7g

Fynn- leaf of a tree https://www.geogebra.org/m/pK cwagyK#material/STF76ubE

Stefan- my Zwitscher

Cornelius – flying animal https://www.geogebra.org/m/pKcwagyK#material /KJxNhpDP

https://www.geogebra.org/classic/JyGNXmHB

Monika Schwarze, PGU Unna (GER)


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