Do It Yourself Logifaces
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
Description
Description: Students will use GeoGebra 3D to build a 3D model of a Logifaces piece. This model should correctly reflect the dimensions of the Logifaces piece. This should allow the student to determine the surface area and volume of the Logifaces piece. The 3D model of the Logifaces piece should also be able to unroll the grid.
1) Each student gets a LF piece (no prisms)
2) Each student has his or her own computer
3) Each student should develop a scale model of their piece with GeoGebra
4) Using the scaled model, the surface and volume of the LF piece should be calculated
5) The calculations with GeoGebra should be verified by calculations on the real object.
Expected Outcome
Solutions/Guidelines/Expectations: By simultaneously rotating the Logifaces piece (real and 3D model) the students should be facilitated to examine the object.
Prior Knowledge
Little mathematical knowledge is required. Should be possible from a mathematical perspective from the 6th grade on. High technological knowledge (use of GeoGebra 3D) required.
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.
Note from Eva:
in case the knowledge about GeoGebra is not available, a copy of a GeoGebra resource within this book can be created and investigated by each student.
