Regular and Irregular Polygons

Year 5 MathsGeometry3 pages

About this worksheet

Fifteen shapes, from a square to a 5-pointed star, need sorting into regular and irregular polygons in this Year 5 maths activity. A callout reminds pupils that regular means all sides and all angles equal. A factory report then asks which shape was hardest to place and why, plus one new shape for each category. Example answers are included. It covers the England National Curriculum polygon objective.

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Curriculum objectives covered

Geometry - properties of shapes

Distinguish between regular and irregular polygons based on reasoning about equal sides and angles

The sort forces the sides-and-angles test on every shape, including a rectangle.

Geometry - properties of shapes

Use the properties of rectangles to deduce related facts and find missing lengths and angles

Placing the rectangle correctly needs its properties, not its familiar look.

What's inside this worksheet

Key definition

A callout stating that regular polygons need all sides and all angles equal.

Shapes to Sort

A table of 15 shapes, including a square, a rectangle and a 5-pointed star.

Main Sorting Activity

Pupils write each shape into the regular or irregular column.

Factory Report

Which shape was hardest to place and why, plus inventing a new shape per category.

Answer key

The full sort plus example written answers.

How teachers use it

Main activity

The rectangle placement makes a productive whole-class disagreement to resolve.

Assessment check

Where pupils put the star and rectangle reveals their working definition.

Early finishers

Inventing a new shape for each category keeps quick sorters occupied.

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