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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

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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