GOLDEN RATIO MADE BY SAIF UR REHMAN CLASS 7 SECTION T.

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Presentation transcript:

GOLDEN RATIO MADE BY SAIF UR REHMAN CLASS 7 SECTION T

WHAT IS GOLDEN RATIO The Golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. It is often symbolized using phi, after the 21st letter of the Greek alphabet. In an equation form, it looks like this:

WHAT IS GOLDEN RATIO IN NATURE There is a special relationship between the Golden Ratio and Fibonacci Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21,... etc, each number is the sum of the two numbers before it). So, just like we naturally get seven arms when we use (1/7), we tend to get Fibonacci Numbers when we use the Golden Ratio.

PICTURE OF GOLDEN RATIO IN NATURE

GOLDEN RATIO IN ANCIENT ART According to NCTM's Principles and Standard for School Mathematics(2000), rich problems contexts involve connections to other disciplines, (e.g. science, social studies, art) as well as to the real world and to the daily life experience of middle-grades students(NCTM, 2000, p.374). An exploration with the golden ratio offers opportunities to connect an understanding the conceptions of ratio and proportion to geometry. The mathematical connections between geometry and algebra can be highlighted by connecting Phi to the Fibonacci numbers and some golden figures. Also, the golden ratio is a good topic to introduce historic and aesthetic elements to a mathematical concept, because we can find that not a few artists and architects were connected with the golden ratio of their works through much of the art history.

PICTURES OF GOLDEN RATIO IN ANCIENT ART

MIRACLE OF KAABA IN GOLDEN RATIO ACCORDING TO LATITUDE AND LONGITUDE IT IS PROVED THAT KAABA IS THE GOLDEN MEAN POINT OF THE EARTH

CONCLUSION IT IS PROVE THAT KAABA IS THE MEAN GOLDEN POINT OF EARTH