Saturday, 30 November 2013

Your tasks for Thanksgiving Day

Making of Warm and Cool turkeys



Your tasks: Warm and Cool turkeys


Thanksgiving turkeys - ORIGAMI on PhotoPeach
Making of and tasks

Wednesday, 20 November 2013

ORIGAMI

Origami  (折り紙?, from ori meaning "folding", and kami meaning "paper"; kami changes to gami due to rendaku) is the traditional Japanese art of folding paper into a shape representing an object.
There is much speculation about the origin of Origami. While Japan seems to have had the most extensive tradition, there is evidence of an independent tradition of paperfolding in China (traditional funerals include burning folded paper), as well as in Germany, Italy and Spain among other places.

Akira Yoshizawa - Origami master showing us... a  turkey!
Origami tools:
You don’t need any origami tools to fold paper. All you need is your hands, a piece of paper, and a flat surface to fold on. Easy. You can do it at home, you can do it at school (oops, did I really say that?). You can do it on the train, you can do it on the bus. You can do it in a coffee shop, you can do it in a restaurant or...


(see dollar-bill origami and napkin and towel folding).

How to make origami:
There are many folding techniques that you need to learn to form a shape out of a piece of paper. Folding techniques. Two most important techniques are valley-fold and mountain-fold. At least, you must know what they are and you will have no problem of folding a simple origami model by using only these two folding techniques.

Wet folding origami:
Wet folding origami is a relatively new way of folding paper. It was developed by origami master Akira Yoshizawa and it involves moistening the paper before you fold it. The resulting model has a softer, textured look with gentle curving lines.
Gilad’s web site shows the difference between a regular origami dog and a wet fold origami dog. Wow! [Puppy created by Francisco Javier Caboblanco; photo by Gilad Aharoni]


Interesting links for origami:
  • Origami and pop-up books.
  • OrigamiProject. To relax.
  • Origami Maniacs.
  • Last October, I visited 'ESTAMPA ARTE MÚLTIPLE' FAIR which was held in Matadero Madrid. I discovered a new exhibitor: MAATT. Maatt is brand-new company focused on home decoration objects. They exploit the possibilities of any material they find on the way. Their first collection is based on paper and it is called Animaatts, and the best is that it's a do it yourself!, of course, with instructions. I have seen this collection 'in situ' and it looks great!. It is a good example of 'minus is more'.

Discovering ORIGAMI -Volume with paper for Thanksgiving

This will be our second task for Thanksgiving Day. You only need two sheets of white paper to begin practising ORIGAMI

The design requires two sheets of paper. The first is used to make the body. The second sheet is used to make the fanned tail. Is it possible to make the tail in two colors although the paper gets thick and it often slides out of place. Using tissue paper to make the fanned tail allows multiple sheets to be stacked and folded without it getting overly thick.

Kids Turkey


Part 1
Part 2:
http://www.voki.com/pickup.php?scid=9046741&height=267&width=200
Part 3:












These pictures are other types of turkey:
 
 

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.
STEPS:
    1. Draw the given segment AB. This is the segment that we want to divide.
    2. From point A draw an oblique ray (r).
    3. Chose a measure with your compass and from point A draw arcs on the oblique ray as many arcs as parts you need.
    4. Join the last point of the oblique ray with point B.
    5. Draw parallels using your set square to the segment B7 from the other points on the ray.
Here we have divided the segment in seven parts, but you can divide the segment in as many parts as you need.

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!.

Friday, 15 November 2013

Angles. Angles operations

ANGLES

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

A triangle has three vertex
TYPES OF ANGLES


Animation.

COPYING OR TRANSLATING AN ANGLE
In Geometry, "translation" simply means moving without rotating, resizing or anything eles, just moving.

STEPS:
  1. Center the compass at vertex of the given angle and draw an arc intersecting both sides of it. Without changing the radius of the compass, center it at point V and draw another arc
  2. Set the compass radius to the distance between the two intersection points of the first arc.
  3. Now center the compass at the point where the second arc intersects ray V.
  4. Mark the arc intersection point 1.
  5. Join point V with point 1 so you get the equal 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
The addition of two angles is another angle whose measure is the addition of the measures of those two angles.
STEPS:
  1. Copy angle A using translation of an angle.
  2. From this new angle copy angle B.
  3. The solution is angle C.
SUBTRACTING ANGLES
The sbtraction of two angles is another angle whose measure is the subtraction of the measures of those two angles.
STEPS:
  1. Copy angle B (the biggest one) using translation of an angle.
  2. From this new angle copy angle A.
  3. The solution is angle C.
 
Angles

Copying an angle

Thursday, 14 November 2013

Warm and cool colours







Discovering warm and cool colours

Cool colours                                      Warm colours


We are going to build this cute turkey made from your hadprints and footprints, cut out of construction paper. It will be a very nice Thanksgiving decoration for our Highschool.



Hand and Foot Turkey Craft


More ideas for Thanksgiving Day:

Tuesday, 12 November 2013

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)
The addition of two segments is another segment that begins at the origin of the first segment and ends at the end of the second segment.
STEPS:
  1. Draw a line (r).
  2. Draw a point A on it. (step 1 and 2 could be given)
  3. Measure the given segment AB with your compass.
  4. Draw an arc from A with that measure, so you get B.
  5. Measure the given segment CD with your compass.
  6. Draw an arc from B with that measure, so you get D.
  7. The solution is the segment AD.

SUBTRACTING LINE SEGMENTS (in your notebooks)
STEPS:
  1. Draw a line (r).
  2. Measure the longest segment with your compass, in our case is the segment CD.
  3. Draw a point C on r. (step 1 and 3 could be given)
  4. Draw an arc from dot C with the previous measure (the segment CD), so you get D.
  5. Measure the smallest segment with your compass, in our case is the segment AB.
  6. Draw an arc from D with that measure, so you get B.
  7. The solution is the segment CB.

Tuesday, 5 November 2013

Simple elements

LANGUAGE AND NOTATION OF BASIC GEOMETRY


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. We label points with capital letters.

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
Besides, points P, M and Q are collinear, because they are on the same 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
To review parallel and perpendicular lines, take a look at this video:


CIRCLE
Language and notation of the circle


A circle is a line forming a closed loop, every point on which is a fixed distance from a center point.
A circumference is how far you have to go around the circle or if you put a string on the circle, how long will the string have to be.

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.

A review of circles:


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
When making technical drawings, REMEMBER:
  1. DATA: Use your 0,4 technical pen. (You will often find data given)
  2. AUXILIARY or CONSTRUCTRIONS LINES AND ARCS: Use your 0,2 technical pen.
  3. SOLUTIONS or RESULTS: Use your 0,8 technical pen.
If you are not using your technical pen but pencils:
  1. DATA: Use your HB pencil. (You will often find data given)
  2. AUXILIARY or CONSTRUCTRIONS LINES AND ARCS: Use your 2H-3H... pencil.
  3. SOLUTIONS or RESULTS: Use your HB pencil underlining twice.

Geometric backgrounds

How many geometric entities, shapes or forms are you able to identify?



Send a comment in this article answering the question.
Don't forget to write your name, surname initial, and course.
Deadline: Sunday 17th.

The foundations of geometry

Introduction
Introduction to constructions.  Compass. Ruler. Straightedge. Euclid.

Now, learn and enjoy with these introductory videos:
You will have to learn all this vocabulary. But... don't worry! We will go with it little by little.

POINT - LINE


PARALLEL LINES - CONVERGING LINES - ANGLE - TRIANGLES


ACUTE, RIGHT AND OBTUSE ANGLES - CIRCLE - RADIUS - CIRCUMFERENCE - DIAMETER


SQUARE - DEGREES


DEGREES IN A TRIANGLE


EQUILATERAL, ISOSCELES AND SCALENE TRIANGLES.
ACUTE, RIGHT ANGLED AND OBTUSE TRIANGLES.



POLYGONS (Wondeful video using Origami Technique)

Friday, 1 November 2013

Your tasks: Halloween symmetry monsters

Symmetry task - HALLOWEEN MONSTERS - 1st C on PhotoPeach

Symmetry task - HALLOWEEN MONSTERS - 1st D on PhotoPeach

Trabajo de simetría - MONSTRUOS DE HALLOWEEN - 1º A on PhotoPeach

Trabajo de simetría - MONSTRUOS DE HALLOWEEN - 1º B on PhotoPeach

Making of ... SPOOKY MONSTERS on PhotoPeach

Our exhibition at highschool: