Worksheet on the Golden Curve and Fibonacci sequence for Year 7 students.

A worksheet titled "The Golden Curve (Year 7)" featuring a blue background with a yellow Fibonacci spiral. The image includes text explaining the Fibonacci sequence, a table for calculating ratios, and questions about the sequence and its relation to the picture.

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1. The next four terms are 55, 89, 144, 233.
2. The decimals are: 2.0000, 1.5000, 1.6667, 1.6000, 1.6250, 1.6154, 1.6190. What you notice is that the decimals are approaching approximately 1.618, which is the Golden Ratio.
3. The side lengths of the other squares are 2, 3, 5, 8, 13, 21, and 34 units.
4. The Fibonacci sequence relates to the picture because each square’s side length corresponds to a number in the sequence, and the curve is drawn by connecting quarter-circles within these squares, forming the Golden Spiral.

Parent Tip: Review the logic above to help your child master the concept of golden ratio worksheet.

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