In Year 5G we tried out some of the simpler ones, like this one, submitted by Nic Doran:
|How many Lego pieces are in step 43?|
but it was time to create our own:
Here are some of our patterns:
We then set about understanding the pattern mathematically:
- How does the pattern grow?
- What number does it grow by each time?
- What number is there in each step of the pattern?
- Can you write this with algebra?
- Can you work out what the 43rd step in the series would be?
We began to answer some of these questions:
The next day we documented our patterns on squared and isometric paper, and tried to understand the mathematics involved. Here's an example on the whiteboard: