Saturday, 29 December 2012

Christmas in Gredos

I'm in Gredos, in a small village with no wifi. So, now that I am in Barco de Ávila, I can post this article to show you how I have decorated my window helped by my small nephew and the grandmothers.
Do you recognize it?

And my son (16 years old) has created a video for a contest: Sekio Claus. Take a look to it, hope you like it.

Friday, 21 December 2012

New Year's Resolutions

A New Year's resolution is a commitment that a person makes to one or more personal goals, projects, or the reforming of a habit. I invite you to make yours here:


Merry Christmas!!!!!!!!!!!!!!!!!!!!!!!!!!!

Merry Christmas from Miguel F., 1st A: http://www.theoworlds.com/christmas/index.php?CardID=59987

Merry Christmas from 1st B:

Thursday, 20 December 2012

IT activities for Christmas

CHRISTMAS VOCABULARY on PhotoPeach

  • Make a flake. Use a digital pair of scissors and create your own snowflake. It's exactly what we have done to decorate the stairs!.
  • Snowman. Create your own Christmas landscape.
  • Christmas tree Light Up!. Light up the Christmas tree by connecting all the wires and light bulbs to the electrical source.
  • Tree. Drag the ornaments to decorate your vey own Christmas Tree!.
  • Pixlr. You can use this easy drawing software online to create your own Christmas landscape (or whatever you want).
  • Sumopaint. You can use this drawing software online to create your own Christmas Scene.
  • More games here.

Sunday, 16 December 2012

Your tasks: Christmas Cards

CHRISTMAS CARDS - 1st A ESO 2012/2013 on PhotoPeach

CHRISTMAS CARDS - 1st B ESO 2012/2013 on PhotoPeach  

CHRISTMAS CARDS - 1st C-D ESO 2012/2013 on PhotoPeach

Discovering KIRIGAMI - space with paper, for Christmas

CHRISTMAS TREES
We are going to construct a pop-up Christmas Tree using another Japanese technique named Kirigami.


Here you will find the template to be downloaded:

Instructions. By Robert Sabuda.

We are going to use color paper and we will use them as hanging trees.


SNOWFLAKES
6-pointed Paper Snowflakes instructions. Kostyn proposed to do them and... it was a great idea! In fact is a good example of polygons and rotational symmetry.





Constructing a parallel through a point

This animation shows how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles.

Perpendicular at the endpoint of a ray

This animation shows how to cosntruct a perpendicular at the end of a ray with compass and straightedge or ruler. This construction works as a result of Thales Theorem.

Perpendicular to a line from an external point

This animation shows how to construct a perpendicular to a line through an external point, using only a compass and straightedge or ruler. It works by creating a line segment on the given line, then bisecting it. The bisector will be a right angles to the given line.

Perpendicular at a point on a line

This animation shows how to draw a perpendicular at a point on a line with compass and straightedge or ruler.

Perpendicular bisector

See perpendicular bisector construction. This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This construction bisects the segment (divides it into two equal parts, and is perpendicular to it.

Line segment operations

COPYING A LINE SEGMENT
This page shows how to copy a line segment with compass and straightedge or ruler. Given a line segment, this shows how to make another segment of the same length.

ADDING UP LINE SEGMENTS (in your notebooks)

SUBTRACTING LINE SEGMENTS (in your notebooks)

Angles

ANGLES
Definition: A shape, formed by two lines or rays diverging from a common point (the vertex).
Parts: vertex, legs, interior, exterior.

A triangle has three vertex

Animation.

USING A PROTACTOR
To measure angles
Animation. The animated diagram shows how to use a protractor to measure angles. It shows how to measure two angles that are vertical (=opposite) angles and so should be equal in measure.
To draw angles
Animation. This shows how to use a protractor to draw an angle - 42° in this example.
COPYING AN ANGLE
This page shows how to copy an angle. Given an angle formed by two lines with a common vertex, this animation shows how to construct another angle from it that has the same angle measure using a compass and straightedge or ruler.
ADDING UP ANGLES (in your notebooks)
SUBTRACTING ANGLES (in your notebooks)

BISECT AN ANGLE
To bisect an angle means that we divide the angle into two equal parts without actually measuring the angle. How to bisect an angle with compass and straightedge or ruler animation.

CONSTRUCT ANGLES 30º-45º-60º-90º
Construct a 30 degree angle
Construct a 45 degree angle
Construct a 60 degree angle
Construct a 90 degree angle

Using a protactor
Copying an angle
Bisect an angle
Constructing angles 30º-45º-60º-90º

Thursday, 6 December 2012

Thursday, 29 November 2012

Thales theorem

A very funny way of explaining Thales Theorem:

Dividing a segment into several equal parts
We use Thales theorem to divide a given line segment into a number of equal parts with compass and straightedge or ruler.  By using a compass and straightedge construction, we do this without measuring the line.

I think my construction is easier, but here you have another construction. In the applet we divide it into five parts but it can be any number. You will discover that both are the same!.

Simple elements

POINT
A precise location or place on a plane. Usually represented by a dot, a cross or an x. Since a point is a place, not a thing, it has no dimensions.

LINE
A geometrical object that is straight, infinitely long and infinitely thin. A line is one-dimensional. It has zero width. Using two points, we can create only one line.
In the figure above, the line PQ passes through the points P and Q, and goes off in both directions forever, and is perfectly straight. A line, strictly speaking, has no ends.

VERTICAL AND HORIZONTAL LINES
A vertical line is one which runs up and down the page.
A horizontal line is one which runs left-to-right across the page. It comes from the word 'horizon', in the sense that horizontal lines are parallel to the horizon.
horizon

RAY
A portion of a line which starts at a point and goes off in a particular direction to infinity. One way to think of a ray is a line with one end. The point where the ray starts is called the endpoint. A ray is one-dimensional. It has zero width. A ray has no measurable length, because it goes on forever in one direction.
P is the endpoint

LINE SEGMENT
A straight line which links two points without extending beyond them. A line segment is one-dimensional. It has a measurable length, but has zero width.
P and Q are the endpoints of the line segment y

MIDPOINT OF A LINE SEGMENT
A point on a line segment that divides it into two equal parts. The halfway point of a line segment.

M is the midpoint
P and Q are the endpoints of the line segment

INTERSECTION OF LINES
The point where two lines or two line segments meet or cross.
Animation.
In the figure above we would say that "point K is the intersection of line segments PQ and AB".
Another way it may be said is that "the line segment PQ intersects AB at point K".
PARALLEL LINES
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length. No matter how far you extend them, they will never meet.
PERPENDICULAR LINES
A line is perpendicular to another if it meets or crosses it at right angles (90°).
Animation.
AB is perpendicular to DF

CIRCLE
A line forming a closed loop, every point on which is a fixed distance from a center point.
There is a difference between a circle and a disk. A circle is a line, and so, for example, has no area - just as a line has no area. A disk however is a round portion of a plane which has a circular outline. If you draw a circle on paper and cut it out, the round piece is a disk.
Radius animation.
Diameter animation.
Arc animation.
Sector animation.
Tangent animation.
Secant animation.


PLANE
A flat surface that is infinitely large and with zero thickness. The plane has two dimensions: length and width. But since the plane is infinitely large, the length and width cannot be measured.

PARALLEL PLANES
A flat surface that is infinitely large and with zero thickness. You can think of parallel planes as sheets of cardboard one above the other with a gap between them. Parallel planes are the same distance apart everywhere, and so they never touch.

The two bases of this cilinder are parallel planes

INTERSECTING PLANES
If two planes are not parallel, then they will intersect (cross over) each other somewhere. Two planes always intersect at a line, as shown on the right.
This is similar to the way two lines intersect at a point.

SOLID GEOMETRY