Description
Discover a collection of numbers and patterns that feel almost magical—and learn the mathematics that explains them.
This complete printable course begins with the Fibonacci sequence and gradually connects number patterns to geometry, ratios, infinite decimals, continued fractions and numerical curiosities.
The complete course includes:
- Lesson 1: The Fibonacci sequence;
- Lesson 2: Fibonacci rectangles and spirals;
- Lesson 3: The golden ratio;
- Lesson 4: Numbers that go on forever;
- Lesson 5: Infinite fractions;
- Lesson 6: Other magical numbers;
- six standalone teaching handouts with worked examples and grown-up guidance;
- answers and discussion for every lesson;
- the complete Magical Numbers Exercises booklet with practice, reasoning, investigations and challenges.
The resources are designed for flexible use: follow the website alongside the printables, use the handouts independently, or print individual lessons as needed.
Suitable for learners aged 10 and over. Some later algebraic sections can be treated as optional extension material.
☕ Free to download
This resource is completely free. If you find it useful and would like to support the creation of more free mathematics resources, you can support Sumthing Else on Ko-fi.
This is the complete six-part Beyond Curriculum: Magical Numbers course from Sumthing Else.




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