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Year 7 Objective
Year 8 Objective
Year 9 Objective
Year 9+ Objective
Use correctly the vocabulary, notation and
labelling conventions for lines, angles and
shapes.
Identify alternate angles and
Distinguish between conventions,
corresponding angles; understand a definitions and derived properties;
proof that: – the sum of the angles of
a triangle is 180° and of a
quadrilateral is 360°; – the exterior
angle of a triangle is equal to the
sum of the two interior opposite
angles.
distinguish between practical
demonstration and proof; know
underlying assumptions,
recognising their importance and
limitations, and the effect of varying
them.
Identify parallel and perpendicular lines;
know the sum of angles at a point, on a
straight line and in a triangle, and
recognise vertically opposite angles.
NRICH: Estimating Angles
Solve geometrical problems using
side and angle properties of
equilateral, isosceles and rightangled triangles and special
quadrilaterals, explaining reasoning
with diagrams and text; classify
quadrilaterals by their geometric
properties.
NRICH: Square Coordinates
NRICH: Square It
NRICH: Can You Explain Why?
Explain how to find, calculate and
use; – the sums of the interior and
exterior angles of quadrilaterals,
pentagons and hexagons; – the
interior and exterior angles of
regular polygons.
NRICH: Semi-regular
Tessellations
Begin to identify and use angle, side and
symmetry properties of triangles and
quadrilaterals; solve geometrical problems
involving these properties, using step-bystep deduction and explaining reasoning
with diagrams and text.
NRICH: Property Chart
NRICH: Shapely Pairs
NRICH: Quadrilaterals!
Know that if two 2-D shapes are
congruent, corresponding sides and
angles are equal.
Solve problems using properties of
angles, of parallel and intersecting
lines, and of triangles and other
polygons, justifying inferences and
explaining reasoning with diagrams
and text.
NRICH: Triangles in Circles
NRICH: Subtended Angles
NRICH: Right Angles
understand and apply Pythagoras’
theorem.
NRICH: Inscribed in a Circle
NRICH: Semi-detached
NRICH: Where Is the Dot?
Use 2-D representations to visualise 3-D
shapes and deduce some of their
properties.
Know and use geometric properties
of cuboids and shapes made from
cuboids; begin to use plans and
elevations.
Understand congruence;
apply the conditions SSS, SAS,
ASA or RHS to establish the
congruence of triangles.
Know that if two 2-D shapes are
similar, corresponding angles are
equal and corresponding sides are
in the same ratio.
Know the definition of a circle and
the names of its parts; explain why
inscribed regular polygons can be
constructed by equal divisions of a
circle;
Visualise and use 2-D
representations of 3-D objects;
analyse 3-D shapes through 2-D
projections, including plans and
elevations.
NRICH: Nine Colours
know that the tangent at any point
on a circle is perpendicular to the
radius at that point; explain why the
perpendicular from the centre to
the chord bisects the chord.