## Project 4: Functions and curves

• Project 3: Art with functions

• Quadratic and trigonomic functions (GER)

These artworks were created in a lesson in which I had to replace another teacher. Students of grade 9 in this class had worked with GeoGebra very rarely, last time a long time ago. They know the math of quadratic and trignomic functions. Parabolas could be easily constructed by using a tool that creates a parbola on the basis of three points. It was new for my students that functions could be rotated.
Here some examples of their work.

• Art in linear functions(RO)

• Art in trigonometric functions (RO)
• Art in exponential and logarithmic function(RO)
• Art in square function(RO) (may)
• GeoGebraBook (RO)

Interesting video about parabola as a locus by construction with ruler, set-square, thread and push pin,Zanichelli Editore

I tried to construct it in  the same way with GeoGebra Norma Lisa Neiman

• Quadratic Growth and Flower Petals (IT)

Lesson Plan and Outcomes

GeoGebra Book

##### Transformations of functions

I will use this art work based on trigonomic functions to introduce into functions like f(x)=a*sin(a(x-b)) +c that we teach in grade 10.
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Interesting and artistic work. Congratulation for the german team!
Mihaela

##### wonderful work

good idea to use loci and tracing. I will study it later more intensively.
Monika

##### Congratulations!

for the italian team. Excellent work!
Mihaela