Magical Numbers

Beyond Curriculum · Mathematics

Why do some numbers seem magical?

Start with a simple rule: add the previous two numbers. Soon Fibonacci numbers lead to rectangles, spirals, the golden ratio, irrational numbers and infinite fractions. Then explore other numerical curiosities where simple rules produce astonishing patterns.

Ages 10+6 lessonsSome algebra helpful
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Lessons

  1. The Fibonacci sequence
  2. Fibonacci rectangles and spirals
  3. The golden ratio
  4. Numbers that go on forever
  5. Infinite fractions
  6. Other magical numbers

How to use this course

There’s no need to rush. Try the calculations and puzzles before opening answers, and use the learning-tip icons only when you want a nudge.

The aim is not to memorise a collection of famous numbers. Keep asking why does this pattern happen?, what stays the same? and what happens if I change the rule?

Stopping with an interesting question still in your head is a perfectly good place to finish.