viernes, 15 de abril de 2011

Presentación actualizada

Hola, chicas, Patricia e Iris, ya he podido subir a la plataforma vuestra presentación, sin problema, ahora sólo queda eliminar la antigua. Os deseo una buena semana.

miércoles, 13 de abril de 2011

Regular Covering of The Plane, 5th Spanish Task

No olvides escribr tu respuesta en el twinspace.


REGULAR COVERING OF THE PLANE

The plane can be regularly covered by only three regular polygons:
an equilateral triangle, a square or a hexagon.

Now you are going to see it and you will know the reason.






1. The screen is divided in three parts.

We are going to cover each of them with three polygons that you will find in the toolbar.
( We must show the points of the polygons on another polygon constructed previously, an anticlockwise direction)

2. Do you know how long the interior angles of each figure are?

Interior angle of the equilateral triangle:

Interior angle of the square:

Interior angle of the hexagon:

If you don´t know it you can measure them with the tool angle.

3. Look at the different mosaics:

a) In the mosaic of equilateral triangles:

How many triangles match up the same vertex?

b) In the mosaic of squares:

How many squares match up the same vertex?

c) In the mosaic of hexagons:

How many hexagons match up the same vertex?

4. Are the angles of paragraph 2 related with the angle of 360 degrees?

Help: Look at the result of paragraph 3.

5. Find out if there is another regular polygon that achieves this. Why?


Yolanda Baena Muñoz, Creación realizada con GeoGebra

Circumcircle 4th Spanish Task

RECORDAR QUE LAS RESPUSTAS DEBEN ESTAR EN LA PLATAFORMA TWINSPACE

Circumcircle

Here you can see a triangle and the three perpendicular bisector of the sides. The three perpendicular bisectors meet in a single point, the triangle's circumcenter; this point is the center of the circumcircle or circumscribed circle, the circle passing through all three vertices.

You can move the three vertices and watch what happens to the circumcenter.



When you move some of the vertices the circumcenter and the circumcircle change, but the points where the circumcircle touch the triangle are always the same, what are their names?
Celia Díaz, Created with GeoGebra

The Cube _Third Spanish task

Tras ver lo que está pasando con la plataforma del twinspace en las últimas semana, lsa profesoras del proyecto hemos considerado esta neuva foram de dejaros las tareas.

Os dejo aqui la tarea de Geogebra :The Cube _Third Spanish task

La idea es saber si os resulta más cómodo trabajar aqui que en le twinspace. AUNQUE LAS RESPUESTAS HAY QUE PONERLAS EN EL TWINSPACE . NO PONER LAS RESPUESTAS AQUI.
Comentad con vuestras profesoras donde os resulta más cómodo trabajar.


In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron.


You can use the upper slide to get the lateral development of the figure, and the slide on the left to change the scale. Also you can move two points, the red one to move the figure and the white one to change the size of the edge. Move all four them to get familiar with the cube.




Questions:



A) How many colours do you need so that two adjacent faces have not the same colour? Explain your answer.

B) How many different axis of symmetry can you find? Explain the answer. Draw them and make screen captures.

C) Use the lateral development to count the sides that the cube has.

D) How many vertexs and edges are there?

E) Look for information about the Euler formulae and check it if it is true here.

F1) For a specific size of the edge, Calculate the perimeter of a side, the area of a side and the volume of the cube.

F2) Repeat those calculations when you duplicate and triple the size of the edge.

F3) Check the answers in F1 and F2. What do you observe?

G) Image an inscribed sphere, which is its radius? Which is its volume?

H) Image a circumscribed sphere, which is its radius? Which is its volume?

I) Calculate the length of the diagonal of a side when the edge is 10 cm.

J) Calculate the length of the diagonal of the cube when the edge is 30 cm.




pff, Creación realizada con GeoGebra

viernes, 8 de abril de 2011

Hola, he vuelto a echar un vistazo a las dispositivas sobre nuestra ciudad y hay que retocar algunas: - Pedro, no sé qué pasa pero la tuya está totalmente desmarcada. Le ha pasado lo mismo a Mercedes. - Iris y Patri, esa traducción de la muralla ... Por favor, dedicadle un ratito.

martes, 5 de abril de 2011

Fotos del insitituto para el twinspace

Los rumanos os han colgado algunas fotos sobre su  instituto y os invitan a que subáis ustedes algunas fotos del vuestro.
Seguro que encontráis muchas para subir.
Os adjunto una foto de cómo verlas. Seguid los pasos, 1,2 ,3 4.
Para subir las fotos seguid los pasos:1 ,2 ,3 5.


Además si cuando estáis en el twinspace , en el blog de las tareas , pincháis en el nombre de la entrada , esa ventana se os hace más grande y os resultará más fácil   hacer las tareas.