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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 3

How can you use twizzles to multiply and divide?

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Twizzle Arithmetic

Arrow arithmetic, but with a twist.

Arrow Arithmetic 2

Age 14 to 16 Challenge Level:

Make sure you understand these facts about twizzles before trying to answer the question.
  • Translate twizzles by dragging them.
  • Unlock a twizzle by clicking on its spot. Lock it again by clicking on the spot again.
  • Dragging the body of an arrow translates it.
  • Dragging the head of an arrow will change its direction and length - it is enlarged and rotated.
  • You can drag the number arrow of an unlocked twizzle off the unit arrow.
  • You can change the value of a twizzle when it is unlocked by dragging the head of its number arrow.
  • A locked twizzle always has the same value, no matter in what direction it points, or how big it is.
  • You can return a number arrow to its spot again with a double click.