Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral. Watch this inspirational video.
Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles that you need to draw.
What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? Continue this sequence for the next 5 terms.
If you calculate the ratios of pairs of successive terms you get (to 3 decimal places) the sequence:
1, 2, 1.5, 1.667, 1.6, 1.625, 1.615, 1.619 … . Calculate the next 3 terms in this sequence.