Properties of Shape - Regular and Irregular Polygons - Worksheet

Children are introduced to the concept of regular and irregular polygons through a series of engaging worksheets. The key learning point is the definition of a "regular" polygon, which is a shape where all sides and angles are equal, such as an equilateral triangle or a square. In contrast, shapes like rectangles with unequal sides or isosceles triangles are classified as irregular polygons. With this understanding, students are tasked with sorting shapes into the correct categories and drawing their own polygons with four and six sides. They are also encouraged to measure angles to verify their decisions, ensuring a deeper understanding of the properties that differentiate regular and irregular shapes.

The worksheets extend to reasoning and problem-solving exercises that prompt students to evaluate statements about polygons and to identify mistakes in given examples. Activities include sorting a variety of cut-out shapes into groups and re-sorting them using different criteria, such as the presence of right angles or the classification as regular or irregular polygons. To further deepen their comprehension, students use Venn diagrams and Carroll diagrams to categorise shapes like quadrilaterals, kites, trapeziums, parallelograms, rectangles, rhombi, and squares. These exercises not only reinforce the mathematical concepts but also encourage critical thinking and collaborative learning through pair work.