Angle Properties

Scheme of work: Key Stage 3: Year 7: Term 5: Angle Properties

Prerequisite Knowledge

  • Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
  • Draw given angles, and measure them in degrees (°)
  • identify:
    • angles at a point and one whole turn total 360°
    • angles at a point on a straight line total 180°
    • other multiples of 90°
  • recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Key Concepts

  • Protractors have two scales measuring 0° to 180°.  One scale goes clockwise, the other anti-clockwise.  Students should always start measuring from the line that goes through zero.
  • A right-angle is termed perpendicular and is 90°.
  • A straight line is 180°.
  • Angles about a point have a total of 360°.
  • Vertically opposite angles are equal to each other.
  • Angles in a triangle have a sum of 180°.
  • A quadrilateral is made up of two adjoining triangles and therefore has a sum of 360°.

Working Mathematically

  • Develop fluency
  • Use language and properties precisely to analyse 2-D shapes
  • Select and use appropriate calculation strategies to solve increasingly complex problems
  • Reason mathematically
  • Make and test conjectures about patterns and relationships; look for proofs or counter-examples
  • Begin to reason deductively in geometry, including using geometrical constructions.
  • Solve problems
  • Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

Subject Content

  • Shape
    • Draw and measure line segments and angles in geometric figures, including interpreting scale drawings.
    • Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
    • Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon

Angle Properties Resources

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