Saturday, 27 August 2011

Donald Mathmagic Land (Guide Questions)

 1. Pythagoras was a Greek mathematician. What are some of the mathematical contributions he
made?
1. The sum of the angle is  a triangle equal to two right angles.
2. Pythagorean theorem
3. Construction figures of a given area and geometrical algebra.
4. Discovery of irrationals.
5. Five regular solids 
6. Taught that the earth was a sphere in the center of the universe. 

2. What is a Golden Rectangle? Why is it important in architecture and art? Look around you
right now. Do you see anything that looks like a Golden Rectangle in your classroom?
 golden rectangle is one whose side lengths are in the golden ratio,  1 : \tfrac{1 + \sqrt{5}}{2} or approximately 1:1.618.
The golden rectangle is important for it is in nature. Some architects like Mario Botta bases his designs on geometric figures, which includes the rectangle. Some scholars speculate that Leonardo Da Vinci's illustrations in De Divina Proportione, that some bodily proportions exhibit the golden rectangle. 
Yes, there are objects that look like the golden rectangle like the chalkboard, the gate, the bulletin board, etc...

3. Pythagoras wrote, “Everything is arranged according to number and mathematical shape.”
What do you think he meant by this? Do you agree with him? Why or why not?
 I think he meant that every object in the world is associated with mathematics because, in fact, we use math every time. Nature, the buildings, human beings, creatures, everything. They are all related to math. I agree with him because it's clear that everything was being counted and measured. 

4. What are some ways that math is a part of your daily life? What about the lives of the people
in your community? The government?
 I use math when I am counting my money or when I am doing inventory on my things. Others use math when they are cooking. Government officials use math when they are trying to count the salaries going to be given to government employees. 

5. Can you suggest some ways that math is present in nature?
 Flower petals ,trees, beehive, earth itself, volcanoes, etc..

6. The video refers to a number of games that rely on geometric or other math principles in order
to be played. What were some of these games and how is math used in them? What other
games do you know of that use math principles in some way?
Billiards, baseball, basketball.
Darts, badminton, swimming.

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