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Warm up The rectangles are similar. Find x. x 1 1.618 4.

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Presentation on theme: "Warm up The rectangles are similar. Find x. x 1 1.618 4."— Presentation transcript:

1 Warm up The rectangles are similar. Find x. x 1

2 Lynn DeRosa Carole McMahon Carol Herb
The Golden Ratio Lynn DeRosa Carole McMahon Carol Herb

3

4 Sunflowers and Pinecones
Golden Ratio In Nature the Human body Shells Sunflowers and Pinecones Moths and Butterflies Spiral Growth

5 Golden Ratios in the Human Body
Total Height : Navel to Floor Length of Index Finger : Length from Finger Tip to Knuckle Length of Arm : Length Finger Tip to Elbow Combined Length of two Center Teeth : Height of the Center Teeth

6 The Pyramids of Giza Parthenon Virtruvian Man Mona Lisa
The Golden Ratio in Art and Architecture The Pyramids of Giza Parthenon Virtruvian Man Mona Lisa

7 Euclid described the Golden Ratio as the Golden Section, a line segment divided according to the golden ratio.

8 Fibonacci’s ratios and the Golden Rectangles
1, 1, 2, 3, 5, 8, 13, 21,…. As you go farther and farther to the right of the sequence, the ratio of a term to the one before it will get closer and closer to the Golden Ratio. Continue adding squares whose sides are the longer side of the rectangle.

9 YouTube Video on Golden Ratio


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