Create a Brick using Functions
- Author:
- Eva 3D
Exercise by Robert Weinhandl
Grade/Age: 12 - 16
Topic/Subject area: Mathematics
Duration: 1x 50 min. (upper sec.) ; 2x 50 min. (lower sec.)
Number of the students: 25
Single work/Team work: single- or partner-work
Students should develop a function to create a Logifaces piece, with which points (coordinates) on the top surface can be determined. Only Logifaces pieces which are not prismatic should be used for this. This function is a function from R2 to the R1 - graph of the function is three-dimensional. The function of the top surface coordinates shall then be embedded and examined in GeoGebra.
Only one template
1) Each student gets a LF piece (no prisms)
2) Each student has his or her own computer
3) Each student should record in writing how the height of the LF piece changes when the (x,y) coordinates change.
4) This change in height shall be described by means of a function [f(x,y)=...].
5) This function [f(x,y)=...] shall be displayed in GeoGebra
6) The definition set of the function [f(x,y)=...] is to be determined = conditions for (x,y) coordinates
Solutions/Guidelines/Expectations:
By simultaneously rotating the Logifaces piece (real and 3D model) the students should be facilitated to examine the object.
Prior knowledge:
Liitle mathematical knowledge is required. Should be possible from a mathematical perspective from the 6th grade on. High technological knowledge (use of GeoGebra 3D) required.
Note Eva: other existing GeoGebra exercises of Logifaces can be copied and investigated.
Recommendation:
The lesson should be conducted in the computer lab. It would be nice if (some) students have an AR-capable mobile phone, so the 3D model of the Logiface piece could be projected into reality.
ID of the exercise: 2019-1-HU01-KA201-0612722019-1