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Measuring angles (age 11+)

PROCEDURAL
Mathematics›Geometry|Ages 11—13|ID: mt_Jf8xcX4UTq

Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements

Mastery Evidence

  • Draw a triangle accurately given two sides and the included angle (SAS)
  • Measure angles in a geometric figure to the nearest degree using a protractor
  • Read a scale drawing to determine actual lengths, explaining the scale used

Assessment Prompt

“If [child] is given an architect's floor plan where 1 cm represents 2 m, can they measure a room on the plan and work out its real-world dimensions?”

Curriculum Standards2 alignments

7.G.2Common Core State Standards for Mathematics
Draw geometric shapes with given conditions

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

G
KS3.Maths.Geo.3The national curriculum in England
Draw and Measure Geometric Figures

draw and measure line segments and angles in geometric figures, including interpreting scale drawings

Mathematics · Key Stage 3

Prerequisites2

Show full prerequisite tree
  • Measuring angles hard

    KS3 drawing/measuring extends KS2 protractor and ruler skills

    • Types of angles (age 8+) hard

      Measuring and drawing angles with a protractor requires knowing how to mark and label angles using standard notation

    • Degrees and turns hard

      Using a protractor requires understanding degree measurement

      • 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

            • 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

        • 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

          • 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

  • 2-D shapes (age 10+) hard

    Drawing figures with given dimensions extends KS2 drawing 2D shapes accurately

    • Measuring angles hard

      Drawing shapes with given angles requires protractor skills from Y5

      • Types of angles (age 8+) hard

        Measuring and drawing angles with a protractor requires knowing how to mark and label angles using standard notation

      • Degrees and turns hard

        Using a protractor requires understanding degree measurement

        • 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

                    • 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

          • 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

            • 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

    • Regular and irregular polygons soft

      Drawing regular/irregular polygons benefits from property knowledge

      • Understanding angles (age 8+) hard

        Shape classification supports distinguishing regular from irregular

        • 2-D shapes (age 6+) hard

          Identifying 2D shape properties is prerequisite to classifying by shared attributes

          • 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

        • Angles in triangles (age 7+) hard

          Recognising shapes by attributes is prerequisite to quadrilateral hierarchy classification

          • Angles in triangles (age 6+) hard

            Drawing shapes by attributes extends understanding defining vs non-defining attributes

            • 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 (age 6+) hard

            Identifying pentagons, hexagons, quadrilaterals extends knowing 2-D 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

      • Estimating Angles soft

        Classifying regular/irregular polygons benefits from angle estimation skills

        • Degrees and turns hard

          Estimating/comparing angles requires understanding the degree system

          • 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

                      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

                      • 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

                    • 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

                    • 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

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