Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Cuisenaire Spirals

## You may also like

### Cuisenaire Squares

### Rod Fractions

Or search by topic

Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

I expect that there were quite a few explorations of these spirals but they did not lead to them being sent in, so remember you can also send in pictures, even if they are on their own!

Erin at North Molton Primary School said:

It doesn't make a difference if you use odd rods or even rods but using them together it doesn't really work as well.

But I'm not to sure what I was supposed to investigate, so that is my solution.

To answer the question about what to investigate it's about seeing what sequences of rods would make a spiral and what kind of rule would that sequence have to have.

From Thomas at C.C.J.S. which I think is Cheltenham College Junior School, we had these thoughts,

If you do your pattern in sets of $2$ then it will end up looking square.

However, if you use a mix of lengths, it will look rectangular

Thank you for those and we hope to hear from you again in future months.

Erin at North Molton Primary School said:

It doesn't make a difference if you use odd rods or even rods but using them together it doesn't really work as well.

But I'm not to sure what I was supposed to investigate, so that is my solution.

To answer the question about what to investigate it's about seeing what sequences of rods would make a spiral and what kind of rule would that sequence have to have.

From Thomas at C.C.J.S. which I think is Cheltenham College Junior School, we had these thoughts,

If you do your pattern in sets of $2$ then it will end up looking square.

However, if you use a mix of lengths, it will look rectangular

Thank you for those and we hope to hear from you again in future months.

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?