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Pure Mathematics

Beyond the Real Line: How AI Turned a Word Question into a Complex-Number Map

Complex Numbers: Extending the Number System develops Extension of the number system from real numbers to complex numbers through six visual, misconception-first stages.

Instead of presenting i as a rule to memorise, the activity makes the historical extension from natural numbers to complex numbers visible as a connected system. Learners move between number sets, algebraic notation and coordinates before they are asked to generalise.

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