Description
Turn the Fibonacci sequence into a geometric pattern.
Learners build rectangles from Fibonacci-sized squares, draw the familiar Fibonacci spiral, and compare the ratios of neighbouring terms as they begin to approach a stable value.
This lesson explores:
- constructing Fibonacci rectangles from successive squares;
- drawing quarter-circle arcs to form a Fibonacci spiral;
- connecting side lengths with consecutive Fibonacci numbers;
- calculating ratios such as 34/21, 55/34 and 89/55;
- noticing how these ratios approach about 1.618.
The printable handout includes visual diagrams, worked examples, learner questions, grown-up tips and answers/discussion, and can be used with or without the website.
Suitable for learners aged 10 and over.
This is Lesson 2 of the six-part Beyond Curriculum: Magical Numbers course.
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