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:

You don't know how happy this post makes me, Simon. Really really really happy. Visualpatterns.org is definitely a labor of love (like everyone else's work online), and I just appreciate so much other teachers' and students' contributions to the site. Seeing your work here with students (and the videos you've shared with me) is everything I could hope for the site. You're awesome. Your kids are awesome. Thank you, Simon!!

ReplyDeleteAgreed! Lovely stuff. So many ways to visualise sequences and it just brings them alive. Funny, I just read a chapter from Jo Boaler's Elephant in the classroom about this sort of thing too! Great post and lovely work yr 5

ReplyDeleteExcellent videos and material. Is it okay for me to pin a couple of your pictures to Pinterest? Understanding patterns is so much fun and a great teaching tool. You displayed that terrifically.

ReplyDeleteKids Math Teacher

Thank you Lucy. Yes, that's fine. In fact I've already pinned a few to mine!

ReplyDeletehttp://pinterest.com/simongregg/everything-is-number/