Properties of Shapes

Scheme of work: Key Stage 3: Year 7: Term 1: Properties of Shapes

Prerequisite Knowledge

  • Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
  • Identify acute and obtuse angles and compare and order angles up to two right angles by size
  • Identify lines of symmetry in 2-D shapes presented in different orientations
  • Complete a simple symmetric figure with respect to a specific line of symmetry.

Key Concepts

  • Students should learn how to use the correct terminology to describe the properties of shapes.
  • Understanding how each quadrilateral has unique properties helps students in future topics on angles and geometrical reasoning topics.
  • A prism has a cross section with edges running parallel to each other.  Converging shapes have similar cross-sections.
  • Students could investigate why some shapes tessellate and others do not.

Working Mathematically

  • Develop fluency
    • Use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.
  • Reason mathematically
    • Begin to reason deductively in geometry, including using geometrical constructions.
  • Solve problems
    • Begin to model situations mathematically and express the results using a range of formal mathematical representations.

Subject Content

  • Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies.
  • Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D.

Properties of Shapes Resources

One thought on “Properties of Shapes

  1. Teoni F Paape says:

    Very useful and straight forward. Would love to make use of these in my classroom and to help prepare teacher training programs in Numeracy.

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