CLIL exercise

Pupil:Group:

Donald Duck and the Golden Mean

https://www.youtube.com/watch?v=fwYfuJfIgaw

Video: fill in the blank spaces with the missing words from the video

Donald: Well Ill be, a ??(muttering)??

Narrator: It was our old friend Pythagoras that discovered the _____________________ was full of mathe-magic. The two shorter lines combined exactly equal the third. And this line shows the magic ____________________ of the famous Golden Section. The second and third lines exactly equal the fourth. Once again we have the _______________ _________________. But this is only the beginning. Hidden within the pentagram, is the secret for creating a golden rectangle, which the Greeks admired for its beautiful proportions and ____________ qualities. The star contains the golden rectangle many times over.

Its a most _______________________ shape. It can mathematically ________________ itself indefinitely. All these _________________________ have exactly the same proportions. This figure also contains a magic ____________ that repeats the proportions of the golden section into infinity. To the Greeks, the golden rectangle represented a mathematical law of _______________. We find it in their classical architecture. The Parthenon, perhaps one of the most famous of early Greek buildings, contains many golden __________________.

These same golden proportions are also found in their _________________. In the centuries that followed, the golden rectangle dominated the idea of beauty in ______________________ throughout the western world. The cathedral of ________ ___________ is an outstanding example. The Renaissance painters knew this secret well. Today, the golden rectangle is very much a part of our ______________ world. Modern painters have rediscovered the magic of these proportions. Indeed, this ideal proportion is to be found in __________ itself.

Donald: boyoboyoboy. This is mathematics? I like mathematical figures like that.

Narrator: Ah ah ah Donald.

Donald: Let me try it.

Narrator: No, no.

Donald: Ideal proportion.

Narrator: Not quite. Ah ah, no Im afraid not. Well we cant all be mathematically _____________.

Donald: Oh yeah? There, I knew I could do it.

Narrator: Now that youre all pent up in a pentagon, lets see how nature uses this same mathematical form: the petunia, the star jasmine, the _________________, the wax flower There are literally __________________ of members in good standing in natures Pythagorean society of the star.

All natures works have a mathematical ____________, and her patterns are limitless. The magic proportions of the golden section are often found in the spirals of natures designs. The profusion of mathematical forms brings to mind the words of Pythagoras: Everything is arranged according to ______________ and mathematical shape. Yes, there is mathematics in _____________ and _____________ and just about everything, and as the Greeks had guessed, the rules are always the ____________.

The End.

Key Words to Define:-Golden Section:

-Pentagram:

-Proportion:

-Reproduce:

-Indefinitely:

-Infinity:

-Pythagoras (who was he?):

-Pattern:

-Profusion:

Questions to Answer:-Why did the Greeks admire golden rectangles?

-Do all these rectangles all have the same proportions?

-How are the pentagram and the golden rectangle related?