Measuring with Rods

A fence made out of giant pencils
 
You can use rods of lengths 3, 4 and 6 units to measure different lengths.
 

The diagrams shows how to measure lengths of 1, 3, 5 and 7. 

Can you see how to measure a length of 2?

There are rods for 4 and 6, so it's possible to measure all the lengths from 1 to 7.

Can you convince yourself you cannot measure a length of 8?

alternate

Can you find another set of three rods that can be used to measure all the lengths from 1 to 7?

What about 1 to 8?

1 to 9?

1 to ...?

 

How far can you go? Take a look at Longer and Longer to explore further.

 

 

We'd love you to share how you've tried this and what you've discovered. You can add a comment below, or you can email us - your work may be featured in the showcase.

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