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Carroll Diagrams

In these lessons, we will learn how to use Carroll Diagrams. We also have some Carroll Diagram games that involve objects and numbers.

Related Topics:
More Lessons for Grade 4 Math, More Lessons on Statistics, Venn Diagrams and Sets

Carroll diagrams are tables that work like Venn diagrams and are used for the purpose of cross-classification. For Carroll diagrams, two attributes are being used for sorting, with one attribute of each characteristic being the focus.

The categories of a Carroll diagram should be mutually exclusive (do not overlap), for example even and not even numbers. In a Carroll Diagram, numbers or objects are either categorized as having an attribute or not having an attribute.

A table is created with four cells to show the four possible combinations of these two attributes. Either the items themselves, or the count of how many items of each type, are put in the cells.

Sort the following numbers in the Carroll Diagram provided:
953, 888, 1501, 8000, 201, 2542, 450, 9349

carroll diagram

Put the following numbers into the correct place on the Carroll diagram.
1, 2, 3, 4, 5, 6, 10, 14, 15, 20, 21, 27, 28, 35, 47, 55


1-digit Numbers

2-digit Numbers

Even Numbers

2, 4, 6

10, 14, 20, 28

Odd Numbers

1, 3, 5

15, 21, 27, 35, 47, 55

Carroll Diagram Example
Using a Carroll Diagram to sort numbers based on divisibility rules.

Carroll Diagram Games

Sort Numbers into a Carroll Diagram Can you put the numbers in the correct place in this Carroll diagram? Now have a look at this Carroll diagram. This time, the idea is to fill in the labels for the rows and columns. Carroll Diagrams Help your understanding of Carroll Diagrams and concepts like multiples, more or less and odd or even. One criteria and two criterias. A good teaching tool for interactive whiteboards.
Sort Numbers into a Carroll Diagram Sort Shapes using Carrol Diagrams
Sort Objects and Numbers into a Carroll Diagram


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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