Sorting objects 2

So here I made a set of things from my box of goodies. Can you work out how I organised my set?

What thing they all have in common? That's what I was thinking too! They are all things that are pink. Let's have a look at another way.

OK can you see what I was thinking about this time?

That's right, they are all things that are animals and things that aren't animals. Or you could say things that are living and things that aren't living. I wonder what else I could think about?

Oh, here's another way of thinking. Whoops, this one should go here too. Can you work out what I was thinking about that these things all have in common?

That's right, there's some animals and some cars. Yeah, so if they were real animals and real- sized cars, they are all things that can move. That's right, 'cause sheep can walk and cows can walk and pigs can, and piglets can walk and cows, sorry cars, can also move.

Here's another way we thought of to organise our things from our box into a set. Can you see what these things have in common?

Yeah, that's what we were thinking too. That all of these things are longer than the cow. See if I measure the car that's shorter than the cow. One of these counters, I'll use one that you can see. That's definitely shorter in length than the cow, and even the pig, which looks pretty close, is shorter in length than the cow. And let's check the sheep. It's also shorter in length than the cow, but the pencils, they're all longer.

So what's the mathematics that we're seeing here?

Items can be sorted in lots of different ways, so we found just in this box of our things that we were tidying up, that there were four different ways that we could sort these items. I wonder if you can think of some other ways to sort your bits and pieces?

Over to you mathematicians! Alright, have fun!