Carroll Diagrams – Math Patterns & Shape Attributes

Sort a set of shapes into a two-by-two grid based on two classification criteria at once.

Justify a shape's placement by identifying which of two attributes it does or does not have.

Have students explain out loud why each shape belongs in its chosen cell before checking the answer page, since a Carroll diagram requires weighing two criteria at once rather than one.

Use as an independent math-center task, since the diagram is a single self-contained page with its own answer key.

Two-criteria classification — students sort each shape by two attributes simultaneously using the Carroll diagram's four-cell grid.

Logical reasoning — students must rule out incorrect cells by checking a shape against both classification criteria.