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Arrow Arithmetic 1

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

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Arrow Arithmetic 2

Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.

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Arrow Arithmetic 3

How can you use twizzles to multiply and divide?

Twizzle Arithmetic

Age 14 to 16 Challenge Level:

The arithmetic rules for twisted twizzles are the same as the arithmetic rules for untwisted twizzles.

Twisted twizzles are a geometrical picture of complex numbers.

Untwisted twizzles represent the real numbers.

Geometrically, complex arithmetic is a natural extension of real arithmetic because it follows the same rules.