Polygons and Non-Examples: Classify and Explain
Apply the polygon definition to a set of figures and explain which rule each non-example fails to meet.

- Year groups
- Years 3–6 (Key Stage 2)
- Pages
- 1
- File type
- Subject
- Geometry, Maths
- Resource types
- Worksheets
- England expectations
- Official curriculum expectation · Subject content — Geometry and measures
From the author
About this resource
This worksheet is a great way for students to practice identifying polygons and non-polygons. It would be a great addition to any maths lesson on geometry.
In the classroom
Teaching tips & learning objectives
Learning objectives
- Apply closure, straight-side, and crossing-line criteria
- Explain which defining property a nonexample lacks
Teaching tips
- Underline each condition in the definition before examining the figures.
- Require explanations to name a specific failed criterion rather than only saying not a polygon.
Skills covered
- Definition-based classification — test each figure against closure and straight-side requirements and explain a failed criterion.
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National Curriculum in England
National Curriculum in England expectations
England expectations
- Official curriculum expectation · Subject content — Geometry and measures — describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric
Core concepts
- Polygons
- Closed straight-sided shapes
- Nonexamples
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