Unit 2: Lines, Angles and Shapes
Level 1 & Level 2
Recognise and name familiar 2D and 3D
shapes. Describe their properties using
everyday language and begin to link to
mathematical language.
Level 3 (≈ Grade G/F)
Classify lines, triangles, quadrilaterals
and polygons using mathematical
language.
Level 4 (Grade E)
Recognise line properties such as
parallel and perpendicular in simple
shapes and use the correct notation and
labelling conventions for lines and
shapes.
Sort collections of 2D and 3D shapes by
their properties using terms such as
faces, edges, sides and corners.
Classify 3D shapes in various ways using
mathematical properties.
Make 2D and 3D mathematical models
by linking given edges or faces, eg.
Pentominoes, tetrominoids.
Understand angle as a measurement of
turn including clockwise and
anticlockwise. Recognise right-angles in
shapes.
Level 5 (≈ Grade D)
Identify parallel and perpendicular lines
in a variety of shapes, classify simple
shapes by their angle and symmetry
properties and further develop use of
geometrical language.
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Use the language associated with angles.
Know the angle sums of triangles, points
and straight lines.
Use ruler and protractor to measure and
draw lines to the nearest mm and angles
to the nearest degree.
Measure and draw angles to the nearest
degree. Estimate to the nearest 5o.
Use ruler and protractor to construct
triangles given SAS and ASA, and to
construct simple nets.
Unit 2: Lines, Angles and Shapes
Level 5 (≈ Grade D)
Identify parallel and perpendicular lines in a
variety of shapes, classify simple shapes by
their angle and symmetry properties and
further develop use of geometrical language.
Level 6 (≈ Grade C)
Classify quadrilaterals using mathematical
properties.
Level 7 (≈ Grade B)
Know the parts of the circle and their
properties (NOT area and calculation of
circumference)
Level 8 and E.P. (≈ Grade A/A*)
Use and apply Pythagoras’ theorem to
problems in 2-dimensions.
Apply Pythagoras’ theorem to problems in 3dimensions.
Recognise and use common 2D
representations of 3D objects.
Understand basic congruence of shapes.
Use the language associated with angles.
Identify opposite, alternate and
corresponding angles in systems of
intersecting and parallel lines. Solve
problems using these properties.
Use sine, cosine and tangent in right angled
triangles to solve problems in 2- or 3-D.
Know the angle sums of triangles, points and
straight lines.
Understand a proof that the sum of the
angles in a triangle is 180o and a
quadrilateral is 360o.
Use these properties to solve problems.
Use the sine and cosine rule to solve
problems in 2- or 3-dimensions.
Solve problems using angle and symmetry
properties of polygons and explain these
properties.
Explain how to find, calculate and use
properties of the interior and exterior angles
of regular and irregular polygons.
Measure and draw angles to the nearest
degree. Estimate to the nearest 5o.
Use bearings to specify direction and solve
problems.
Determine the locus of an object moving
according to a rule.
Use ruler and protractor to construct
triangles given SAS and ASA, and to construct
simple nets.
Use straight edge and compasses to do
standard constructions including,
perpendicular bisector of a line segment,
constructing a perpendicular to a given line
from a given point and recognising this as the
shortest distance to the line and bisecting a
given angle.
Construct triangles using SSS, SAS, ASA and
RHS information and apply these conditions
to establish congruence of triangles.
Apply angle facts, triangle congruence,
similarity and properties of quadrilaterals to
derive results about angles and sides,
including Pythagoras’ Theorem, and use
known results to obtain simple proofs.