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Venn and Carroll Diagrams

Sort cards by asking yes or no questions. Circles that overlap hold the cards that are both, and a Carroll diagram puts every card in one box.

Where does it go?

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Tap the part of the diagram where this card belongs.

Sorting diagrams

Venn diagram: a circle for each question. Yes goes inside, no goes outside.

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Where the circles overlap: yes to both questions.

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Outside every circle: no to all of them.

Carroll diagram: a table of yes and no. Every card goes in exactly one box.

Questions and answers

What is a Venn diagram?

A way of sorting with circles. Each circle stands for one property, like even numbers. Things that have both properties go where the circles overlap, and things with neither go outside, inside the rectangle.

What is a Carroll diagram?

A table for sorting with yes and no. The columns might be even and not even, the rows multiple of 3 and not a multiple of 3. Every card goes in exactly one box, so nothing is left over.

What is the difference between Venn and Carroll diagrams?

They sort the same way but look different. A Venn diagram uses overlapping circles, and the outside part holds the cards that fit neither. A Carroll diagram uses a grid, with a box for every yes and no combination.

What age do children learn Venn and Carroll diagrams?

Children sort into one circle or a simple table at about 5 to 7, use two overlapping circles and Carroll diagrams at about 7 to 9, and read and explain them at about 9 to 11.