Fibonacci Miles

Australian curriculum number (ACMNA188)

In this lesson students deepen their understanding of ratios as the multiplicative comparison of two numbers. Students apply this understanding to explore relationships between neighbouring numbers in the Fibonacci sequence. They generate the golden ratio.

This sequence is for students who:

  • are familiar with calculating ratios between numbers
  • can identify and explain patterns in number sequences


Lesson 1: Fibonacci Miles

Students are introduced to a trick for quick conversion between miles and kilometres using the Fibonacci sequence and are challenged to explain why the trick works. They investigate using their knowledge of ratio and discover that the miles/kilometres conversion rate is close to the golden ratio.


Last updated April 29 2020.