This heading proposes examples of problems with accompanying notes being able to be realized on the TI-92, TI-89 and TI-92 Plus using the CABRI-Geometre and Sketchpad Flash applications , but more particularly with CABRI-Geometre.
The aim is to show at which point the TI-89/92 combined with applications is an exceptional teaching aid.

You will be able to build all kinds of figures, to easily build conics, ellipses and parabolas, to check geometrical properties confirmed by the assumptions based on five postulates of Euclide, to study advanced concepts in projective and hyperbolic geometry... and so much of other things !

 

I: Interactive layout of functions

 

Functions of reference in the college Author : Bernard Egger
Public : Teachers Used material : TI-92 + Cabri application

 

II : GEOMETRICAL OPTICS

 

Reflexion
1-1 Construction of the incidental and considered rays, 1-2 Measurement of the angles, 2 Exploitation of the law of Descartes, 2-1 Checking of the second law relating to the reflexion, 2-2 Rotation of the plane mirror, 2-2-1 Modification of the figure, 2-2-2 Exploitation of construction
 Author : Patrice Jacquinot
Public : Students Used material : TI-92 + Cabri application

 

III: PARABOLAS

 

Generation of a parabola Author :
Public : Students Used material : TI-92 + Cabri application

 

Under normal of the parabola Author :
Public : Students Used material : TI-92 + Cabri application

 

IV: ELLIPSES

 

Bifocal definition Author :
Public : Students Used material : TI-92 + Cabri application

 

V: TRANSFORMATIONS

 

Complex inversions : Add tools to CABRI by creation of macro-constructions. See also Methods heading for the simple transformations Author : Olivier Miclo
Public : Students Used material : TI-92 + Cabri application

 

VI : PARAMETERIZED CURVES

 

{ x(t)=sin(t) , y(t)=sin(2t) } Author : Olivier Miclo
Public : Students Used material : TI-92 + Cabri application

 

cabri.jpg (13826 octets)

CABRI GEOMETRE II

 

- Complete and intuitive
Includes/understands the Euclidean géomètrie, refines, analytical and the geometric transformations.
- Of easy training, it is simple to use
Even step that with a pencil, a rapporteur and a compass - nothing easier!
- Modifications of the geometric figures to the screen
The pupils see the models, make assumptions and draw their own conclusions.
- Display of the equations
... of the basic geometrical figures of which right-hand sides, circles, ellipses, co-ordinates.
- integrated mathematical Search
Study of the phenomena in real situation.

Possibility of recovering geometrical constructions of TI-92.92 Plus in CabriII on PC. The figures are then exploitable color on the computer and the listings of the histories of the contructions can be printed.

OTHER POSSIBILITIES:

- Construction of points, right-hand sides, triangles, polygons and other figures.
- Conical easy to build, including the ellipses and hyperboles.
- Cartesian and polar Co-ordinates.
- the checking of the geometrical properties confirms the assumptions based on five postulates of Euclide.
- analytical Geometry
- Study of the advanced concepts in projective and hyperbolic geometry.
... and so much of other things...