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Degrees and turns

CONCEPTUAL
Mathematics›Geometry|Ages 9—10|ID: mt_qUGMyMYn9m

Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees

Mastery Evidence

  • Explain that a full turn is 360° and a right angle is 90°
  • Describe what 'one degree' means in terms of a fraction of a circle
  • State that an angle of 45° has turned through 45 one-degree angles

Assessment Prompt

“If [child] knows a full circle is 360 degrees, can they tell you how many degrees a quarter turn is — and explain roughly what one single degree looks like?”

Prerequisites1

Show full prerequisite tree
  • What Is an Angle? hard

    Degree measurement system requires understanding what an angle is

    • Types of angles hard

      Angle definition builds on understanding right angles

      • Right Angles & Turns hard

        Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse

        • 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

    • Right Angles & Turns hard

      Angle definition builds on classifying acute/obtuse angles

      • 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

Unlocks3