Fifth class

Hello everyone!

📽️ In today's post we will comment on the third part of the video: Donald Duck in Mathmagic Land. This part would be between the minutes 7:17 - 13:46. As we already talked about in its respective post, in this part of the video Donald will discover how the golden ratio comes out of the Pythagorean pentagon, which is found in many representations of our day to day life, as well as in different places such as sculptures, buildings, paintings, dancing and in nature. This part ends with the concept of symmetry since with the pentagon most of the figures that come out, as we can see in nature, come out symmetrical figures such as snowflakes.


In this fragment of the video we find the following content related to the theme of geometry: plane figures, area and perimeter, geometric bodies, golden ratio and the pentagon in nature. Therefore, we have a lot of content to discuss in the class, but before, it would be convenient to make a brief review of the contents that we are going to teach our students in class. In the following web page you will find most of the information that we will use in the following activities and experiments.

Once this knowledge is remembered, let's move on to the activities that we will carry out with the students in class. Following the theme of magic that we discussed in the previous class and that is referenced in the video, we will use the flat figures painted in different colors to create an optical illusion that gives the feeling of having a volume in a flat space.


📝 ACTIVITY 1: as we have said before, in the first activity we will create optical illusions from flat figures and patterns. In the following web page you will find the procedure to follow to create these optical illusions, which we will create with a hexagon divided into 3 parallelograms.

📝 ACTIVITY 2: for the next activity we will go back to the previous class and we will use the transversal content of the music. In the previous activity we have already introduced the concept of symmetry and now we are going to apply it in practice, for which we are going to rely on music. For this we will use the flutes that the students have in class and we will interpret "Duetto del espejo" a song that can be interpreted from both sides as we can see in the image. After this, the students could try to create a similar song that can be read from both perspectives.

📝 ACTIVITY 3: for the next activity we will introduce the golden ratio concept and work with it. To do this, we will create said aureus rectangle with the students as we can see in the image, and we will measure different objects of the class so that the students realize that the golden ratio can be found in most places of nature and our day to day as the narrator explains in the video.

⚗️ EXPERIMENT 1: in this first experiment we will continue working the symmetry and we will create a kaleidoscope. In the following web pages (1, 2, 3, 4) you can find the procedure to follow to create one in class, the materials are very easy to obtain and the creation process will motivate the students. With this experiment we work many of the contents related to geometry since students must form a kaleidoscope based on plane figures and mirrors.

⚗️ EXPERIMENT 2: the following experiment, however simple it may seem, contains most of the contents that we are working on in the different classes (areas, perimeter, geometrical bodies, symmetry...). It's about creating soap bubbles of different shapes and sizes, as well as playing with them to see the geometry they contain. In the following web pages you will be able to experiment with bubbles to carry out in class (1, 2, 3, 4, 5) all of them with an explanation of the procedure and the materials necessary to create them.

I hope you stay and help us in this exciting trip through Mathmagic Land!

Marta 

📖 GLOSSARY: kaleidoscope is an optical instrument consisting of a tube with two or three inclined mirrors and colored crystals inside, arranged in such a way that if you move the tube and look inside at one end, you can see different symmetrical geometric figures.