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Right Angles & Turns

CONCEPTUAL
Mathematics›Geometry|Ages 7—8|ID: mt_MFfYcnv6Tv

Identify right angles; recognise that two right angles make a half-turn, three make three-quarters, and four make a complete turn

Mastery Evidence

  • Use a right-angle checker to identify right angles in shapes and the environment
  • Classify angles as right angles, less than a right angle, or greater than a right angle
  • Explain that 4 right angles make a full turn (360°)

Assessment Prompt

“If [child] looks at the corner of a piece of paper, can they tell you that's a right angle — and that spinning all the way round takes four right angles?”

Curriculum Standards1 alignment

Ma/KS2/Y3/GPS/3The national curriculum in England
Identify right angles

identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

Mathematics · Key Stage 2

Prerequisites3

Show full prerequisite tree
  • Understanding angles hard

    Identifying right angles requires understanding what an angle is

    • 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

  • Types of angles (age 8+) soft

    Identifying right angles and turns is supported by the convention of marking right angles with a small square

  • Position, direction, and movement hard

    Right angles as quarter turns extends Y2 turn vocabulary

    • 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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