Types of angles (age 11+)
LANGUAGEUse 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 MathematicsDraw (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.
KS3.Maths.Geo.5The national curriculum in Englanddescribe, 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
Prerequisites2
- Regular and irregular polygonshardAges 9—10
- Classifying shapes by propertieshardAges 10—11
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
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
- 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 (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
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
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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)
- Classifying shapes by properties hard
KS3 geometric notation builds on KS2 shape classification and property language
- 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
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
- 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 (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
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
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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
- Classifying shapes by line properties hard
Property-based hierarchy extends Y5 classification by parallel/perpendicular lines
- 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
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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)
- Parallel and perpendicular lines hard
Y3 horizontal/vertical/perpendicular/parallel lines is prerequisite to drawing and identifying them formally
- 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
- 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
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 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)
- 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
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
- 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 (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
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
Unlocks2
- Angles in triangles (age 12+)hardAges 12—14
- Properties of triangles and quadrilateralshardAges 11—13