← Home

Types of angles (age 11+)

LANGUAGE
MathematicsGeometry|Ages 11—13|ID: mt_WtIFJSCQIT

Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and reflectively/rotationally symmetric polygons

Mastery Evidence

  • Use correct notation for line segments (AB), angles (∠ABC), and parallel lines (AB ∥ CD)
  • Sketch a regular hexagon and describe its rotational and reflective symmetry
  • Identify and label perpendicular and parallel lines in a given figure using standard symbols

Assessment Prompt

“If you ask [child] to describe a triangle using proper geometry notation — naming its angles and sides with letters — can they do it clearly enough for someone else to draw it?”

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.5The national curriculum in England
Describe and Sketch Geometric Features

describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric

Mathematics · Key Stage 3

Prerequisites2

Show full prerequisite tree
  • Regular and irregular polygons hard

    Describing regular polygons requires knowing the distinction from KS2

    • 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

                        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

  • Classifying shapes by properties hard

    KS3 geometric notation builds on KS2 shape classification and property language

    • Regular and irregular polygons hard

      Hierarchy includes regular/irregular distinction from Y5

      • 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

    • Classifying shapes by line properties hard

      Property-based hierarchy extends Y5 classification by parallel/perpendicular lines

      • Lines, Rays & Angles hard

        Must draw/identify geometric elements before classifying shapes by them

        • Types of angles hard

          Y4 acute/obtuse angle identification is prerequisite to drawing and labelling angle types

          • 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

        • Parallel and perpendicular lines hard

          Y3 horizontal/vertical/perpendicular/parallel lines is prerequisite to drawing and identifying them formally

          • Right Angles & Turns hard

            Perpendicular lines require understanding right 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

          • Positional Language soft

            Horizontal/vertical builds on positional vocabulary

      • Understanding angles (age 8+) hard

        Y4 quadrilateral classification supports classifying by lines/angles

        • 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