Symmetry with kaleidoscope
Hi, today i'm going to show you how to make and use a kaleidoscope for geometry, very useful to work in class.
Fist of all i'm going to tell you what it is.
A kaleidoscope (from the Greek kalós: "beautiful", eidos: "image" and scopéo: "observe") is a tube that contains three mirrors that form a triangular prism with its reflecting part inwards, at the end of which are two translucent sheets between which there are several objects of different color and shape, whose images are symmetrically multiplied by turning the tube while looking at the opposite end.
Those mirrors can be arranged at different angles:
at 45 ° of each, eight duplicate images are generated; at 60º six duplicates are observed; and at 90º, four.
Although the most common is that a kaleidoscope is integrated by three mirrors, it can also be built with two or more than three to achieve different types of effects. The modern kaleidoscope was invented in 1816 by the Scottish physicist David Brewster.
Now, that you know what it is I'm going to explain you how to create now of them.
MATERIALS
- 3 mirrors of rectangular shape (approximately 4 cm x 20 cm)
- adhesive tape
- pieces of different colors or sequins
- 1 sheet of tracing paper nº3
- 1 sheet of canson nº5 of dark color.
PROCESS:
1- Put the mirrors in such a way that they form a triangle as indicated in the photographs and stick them with the bright face inwards.
2- Cut a triangle of cardboard and another of tracing paper the size of the bases, as shown in the image below.
3- Glue the tracing paper triangle on one of the bases. From the open end, place the sequins or pieces of paper of different colors, as seen in the image.
4- Make a hole in the center of the cardboard triangle that you hit on the other base. See the following image.
5- Orient the kaleidoscope to a source of light, move it slowly, look through the hole and ... be amazed!
WHY TO USE IT?
- To study some basic concepts of geometry, such as: Regular and irregular shapes, angles, symmetry, congruences, calculation of area, volume, perimeter, among others.
- To challenge the logical-mathematical thinking of our students, through questioning, confrontation of ideas, approaching situations-problems, among other pedagogical techniques appropriate to the context of the group of students.
- To recognize how a kaleidoscope works and why the images we see with it are formed, which implies carrying out some optical experiences related to reflection (subject closely related to optical physics).
Fist of all i'm going to tell you what it is.
A kaleidoscope (from the Greek kalós: "beautiful", eidos: "image" and scopéo: "observe") is a tube that contains three mirrors that form a triangular prism with its reflecting part inwards, at the end of which are two translucent sheets between which there are several objects of different color and shape, whose images are symmetrically multiplied by turning the tube while looking at the opposite end.
Those mirrors can be arranged at different angles:
at 45 ° of each, eight duplicate images are generated; at 60º six duplicates are observed; and at 90º, four.
Although the most common is that a kaleidoscope is integrated by three mirrors, it can also be built with two or more than three to achieve different types of effects. The modern kaleidoscope was invented in 1816 by the Scottish physicist David Brewster.
Now, that you know what it is I'm going to explain you how to create now of them.
MATERIALS
- 3 mirrors of rectangular shape (approximately 4 cm x 20 cm)
- adhesive tape
- pieces of different colors or sequins
- 1 sheet of tracing paper nº3
- 1 sheet of canson nº5 of dark color.
PROCESS:
1- Put the mirrors in such a way that they form a triangle as indicated in the photographs and stick them with the bright face inwards.
3- Glue the tracing paper triangle on one of the bases. From the open end, place the sequins or pieces of paper of different colors, as seen in the image.
4- Make a hole in the center of the cardboard triangle that you hit on the other base. See the following image.
5- Orient the kaleidoscope to a source of light, move it slowly, look through the hole and ... be amazed!
WHY TO USE IT?
- To study some basic concepts of geometry, such as: Regular and irregular shapes, angles, symmetry, congruences, calculation of area, volume, perimeter, among others.
- To challenge the logical-mathematical thinking of our students, through questioning, confrontation of ideas, approaching situations-problems, among other pedagogical techniques appropriate to the context of the group of students.
- To recognize how a kaleidoscope works and why the images we see with it are formed, which implies carrying out some optical experiences related to reflection (subject closely related to optical physics).
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