Properties of 2D Shapes

Scheme of work: GCSE Foundation: Year 9: Term 1: Properties of 2D Shapes

Prerequisite Knowledge

  • Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
  • know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
  • draw 2-D shapes using given dimensions and angles

Success Criteria

  • Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from the written description
  • derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language
  • identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

Key Concepts

  • Understanding and using the vocabulary is key throughout this topic.
  • Regular polygons are closed shapes with straight lines of equal length.
  • Students need to recognise different types of quadrilaterals and triangles by their geometrical properties.
  • All shapes have a rotational symmetry of at least one.
  • Reflected vertices are an equal distance from the line of symmetry.

Common Misconceptions

  • Students often confuse the part of a circle.
  • Diagonal lines do not have to be slanted and can be horizontal or vertical.
  • A circle is not a polygon since its edge of not straight.
  • Rectangles are incorrectly assumed to have a rotational symmetry of order 4.

Properties of 2D Shapes Resources

Mr Mathematics Blog

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.