We are going to use a grid split into four boxes. Along the top it says even and not even. Down the side it says more than 10 and not more than 10.

Where would the number 14 go? What about the number 7? Put your hand up if you can point to the right box.

We will sort two sets of cards on screen. The first is a Carroll diagram that sorts numbers by two questions: is it even, and is it single-digit or two-digit? The second is a Venn diagram that sorts shapes by whether they have a right angle and whether they are red. A right angle is a square corner, like the corner of this page. Watch where each card lands, and see which card sits outside both circles.

Now we sort together. First we work a Carroll diagram of numbers on the board. We sort them by even / odd and by single-digit / two-digit. We place 4, then 11, then 22, then 9.

Then we move to the shapes on screen. The Venn sorts them by has a right angle and is red. Drag a red rectangle into place. Then a blue square. Then a red circle. Then a blue circle.

Now you sort at your seats. The grid and the circles are already laid out, so you are only sorting cards, never drawing diagrams.

Three sorts, one at a time. Finish one and stop before the next.

1. Carroll grid. Sort your number cards into the four boxes: even or odd across single-digit or two-digit.
2. Venn with nothing in the middle. One circle is triangle and the other is red. None of these cards is a red triangle, so the middle stays empty. That is the right answer, not a mistake.
3. Venn with something in the middle. The circles are even and two-digit. We do one together on the board first, placing 4, 18, 9 and 25, then you sort your own set the same way.

Key point After each sort, write down one card and the region it ended in, and be ready to say why it went there.