### 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.

### Arrow Arithmetic 3

How can you use twizzles to multiply and divide?

### 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.