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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.

Balance Power

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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You can weigh all integer masses from 1 to 60 with 6 weights putting the weights in one pan and the object in the other pan. Which weights are used?

What about weighing all integer masses from 1 to 1000 or from 1 to n?

How many weights are needed if you put weights in both pans?