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Understanding angles

CONCEPTUAL
Mathematics›Geometry|Ages 7—8|ID: mt_8OAGVdeTJ_

Recognise angles as a property of shape or a description of a turn

Mastery Evidence

  • Identify angles at the corners of 2-D shapes
  • Describe a turn (e.g. quarter turn, half turn) in terms of the angle made
  • Explain that an angle measures the amount of turn between two lines meeting at a point

Assessment Prompt

“If you ask [child] to point to an angle on the corner of a book or door frame, can they find it — and explain that swinging a door open is also a kind of turn (angle)?”

Curriculum Standards1 alignment

Ma/KS2/Y3/GPS/2The national curriculum in England
Recognise angles

recognise angles as a property of shape or a description of a turn

Mathematics · Key Stage 2

Prerequisites2

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  • 2-D shapes (age 6+) soft

    Understanding angles as shape properties requires knowing basic shape properties

    • Angles in triangles (age 6+) soft

      Understanding defining attributes supports describing shape properties formally

      • 2-D shapes hard

        Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first

      • 3-D shapes (age 5+) hard

        Identifying defining attributes builds on informal analysis and comparison of shapes

        • 2-D shapes hard

          Analysing and comparing shapes requires being able to name them first

        • 3-D shapes hard

          Analysing 3-D shapes requires recognising and naming them

    • 2-D shapes hard

      Describing properties of 2-D shapes (sides, symmetry) requires knowing the shapes first

    • 3-D shapes (age 5+) hard

      Formal property description extends informal analysis of sides and vertices

      • 2-D shapes hard

        Analysing and comparing shapes requires being able to name them first

      • 3-D shapes hard

        Analysing 3-D shapes requires recognising and naming them

  • Position, direction, and movement hard

    Recognising angles as turns extends Y2 work on quarter/half/three-quarter turns

    • Positional Language hard

      Position/direction vocabulary with right angles extends basic positional language

    • Turns & Directions hard

      Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1

      • What Is a Half? soft

        Understanding half and quarter turns benefits from the concept of halves and quarters

        • Division as equal sharing hard

          Finding a half requires equal sharing into 2 groups — a division concept

          • Subtraction as taking away or separating hard

            Division as equal sharing/grouping requires understanding subtraction as taking away/separating

            • How Many in Total? hard

              Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

      • Positional Language hard

        Describing movement and turns builds on positional language

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