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Carroll Diagrams – Math Patterns & Shape Attributes

A two-by-two Carroll diagram sorts nine labeled shapes into four grid cells based on two classification criteria at once.
Grades
Grade 2
File type
PDF
Preparation
Print ready

Updated Jan 07, 2023

Subject
Patterns, Geometry, Math
Topic
Geometry, Shapes
Resource types
Diagrams, Teacher Tools
Preparation
Print ready

From the author

About this resource

These Carroll Diagrams will provide a fun challenge for your math students.

There are 2 diagrams on this page that will require students to pay attention to patterns and shape attributes.

Answer key included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • 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.

Teaching tips

  • 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-centre task, since the diagram is a single self-contained page with its own answer key.

Skills covered

  • 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.

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