9 
 Solve problems involving frustums of cones
 Find the area of a segment of a circle given the radius and length of the chord
 Solve problems for areas and volumes of similar shapes and solids
 Use trigonometry to solve 3D problems
 Find the angle between a line and a plane
 Know the exact values of sin Ѳ and cos Ѳ for Ѳ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan Ѳ for Ѳ = 0°, 30°, 45° and 60°
 Use the sine and cosine rules to solve 2D and 3D problems
 Apply vector methods for simple geometrical proofs
 Calculate the new volume of a shape after enlargement

8 
 Use the formulae for length of arcs and area of sectors of circles to solve problems
 Understand and use the fact that tangents from an external point are equal in length
 Prove lines are parallel or collinear
 Find points that divide a line in a given ratio, using the properties of similar triangles

7 
 Prove and use the alternate segment theorem
 Use Pythagoras’ theorem in 3D problems
 Calculate the length of a diagonal of a cuboid
 Enlarge 2D shapes, given a negative, fractional scale factor
 Use the sine rule to find unknown lengths and angles
 Use the cosine rule to find unknown lengths
 Calculate the area of a triangle using 1/2 ab sinC
 Work out the magnitude of a vector
 Calculate, and represent graphically, the sum of two vectors, the difference of two vectors and a scalar multiple of a vector
 Calculate the resultant of two vectors
 Solve geometrical problems in 2D using vector methods
 Calculate the new area of a shape after enlargement

6 
 Use trigonometry to find the lengths of unknown sides, using more complex algebraic manipulation
 Find angles of elevation and angles of depression
 Prove and use the fact that the angle in a semicircle is a right angle
 Prove and use the fact that angles in the same segment are equal
 Prove and use the fact that opposite angles of a cyclic quadrilateral sum to 180°
 Prove and use facts about the angle subtended at the centre and at the circumference
 Know that the tangent at any point on a circle is perpendicular to the radius at that point
 Know that the perpendicular from the centre to the chord bisects the chord
 Complete a formal geometric proof of similarity of two given triangles

5 
 Find the surface area of prisms
 Find the surface area and volumes of compound solids
 Recognise the formulae for length of arcs in a circle and area of sectors in a circle.
 Use similarity to solve problems in 2D shapes
 Extend understanding of loci to include 3D problems
 Know the formula for Pythagoras’ theorem and use to find a shorter side
 Use Trigonometry to find lengths of unknown sides in a rightangled triangle
 Transform 2D shapes by a more complex combinations of rotations, reflections and translations
 Add and Subtract vectors
 Convert between compound measures (e.g. convert 2 m/s to km/h)
 Convert imperial units to imperial units
 Convert between metric and imperial measures
 Identify the scale factor of an enlargement

4 
 Use accurate drawing to solve bearings problems
 Calculate missing interior angles in polygons
 Calculate volumes of shapes made from cuboids
 Calculate the volume and surface area of right prisms
 Calculate the lengths, areas and volumes in cylinders
 Calculate the radius or diameter of a circle given the circumference or area
 Find the perimeters and areas of semicircles and quarter circles
 Use information to determine whether triangles are congruent or similar
 Construct the perpendicular from or to a point on a line segment
 Construct a triangle, given right angle, hypotenuse and side
 Construct loci
 Construct angles of 60°, 90°, 30°, 45°
 Know the formula for Pythagoras’ theorem and use to find the hypotenuse
 Use vector notation for translations
 Enlarge 2D shapes, given a fractional scale factor
 Find the centre of rotation
 Describe a transformation
 Describe reflections on a coordinate grid
 Express points as position vectors and understand and use vector notation
 Know that enlargements of 2D shapes produce similar shapes

3 
 Given the bearing of point A from point B, work out the bearing of B from A
 Identify cointerior angles and their values.
 Know that the sum of the exterior angles of any polygon is 360°
 Calculate the interior angles of regular polygons
 Deduce and use the formula for the area of a trapezium
 Calculate surface areas of shapes made from cuboids
 Know and use the formulae for the circumference and area of a circle
 Identify shapes which are similar
 Identify more complex nets of 3D shapes
 Draw plans and elevations of 3D shapes
 Use straight edge and compasses to construct the bisector of an angle
 Use straight edge and compasses to construct a triangle given three sides (SSS)
 Construct an equilateral triangle and a regular hexagon inside a circle
 Use trigonometry to find the size of an angle in a rightangled triangle
 Know the names of parts of a circle
 Enlarge shapes, given a centre of enlargement and a positive integer scale factor
 Find the centre of enlargement
 Know rough metric equivalents of imperial measures in daily use
 Convert between area measures
 Convert between metric measures of volume and capacity

2 
 Identify alternate and corresponding angles on parallel lines and their values.
 Find the area of triangles by counting
 Know the formulae for the volume of cube and a cuboid
 Use a formula to calculate the area of parallelograms
 Use a formula to calculate the area of triangles
 Know that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not.
 Know that translations, rotations and reflections map objects on to congruent images
 Identify simple nets of 3D shapes
 Use straight edge and compasses to construct the midpoint and perpendicular bisector of a line
 Draw a circle given the radius or diameter
 Know that translations, rotations and reflections preserve length and angle
 Recognise that enlargements preserve angle but not length

1 
 Use a protractor to draw obtuse and reflex angles to the nearest degree
 Give a bearing between the points on a map or scaled plan
 Identify interior and exterior angles in a shape
 Find missing angles around a point
 Recognise and use vertically opposite angles
 Find missing angles in a quadrilateral
 Know that the sum of the interior angle and the exterior angle is 180°
 Calculate the perimeter and area of shapes made from rectangles
 Calculate the surface area of cubes and cuboids, without a net
 Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
 Use ruler and protractor to construct simple nets of 3D shapes
 Begin to use plans and elevations
 Identify regular and irregular polygons
 Draw or complete diagrams given information about rotational or line symmetry
 Plot coordinates to complete a shape
 Use properties of equilateral and isosceles triangles to solve problems
 Solve simple geometrical problems using properties of quadrilaterals
 Convert between simple metric units

W3 
 Begin to estimate the size of angles
 Use a protractor to measure obtuse and reflex angles to the nearest degree
 Use a protractor to draw acute angles to the nearest degree
 Measure shapes to find perimeters and areas
 Use correct notation for labelling angles and triangles
 Distinguish between acute, obtuse and reflex angles
 Identify perpendicular lines
 Use the formula for the area of a rectangle/square
 Use nets to calculate the surface area of cubes and cuboids
 Calculate perimeter and area of compound shapes made from triangles, rectangles and other shapes
 Calculate missing angles in a triangle
 Identify simple angle, side and symmetry properties of triangles and quadrilaterals
 Recognise and visualise – rotation about a given point
 Draw lines and shapes to scale
 Use and interpret maps and scale drawings, using a variety of scales and units
 Estimate length using a scale diagram

W2 
 Measure lines to the nearest millimetre
 Use a protractor to measure acute angles to the nearest degree
 Identify parallel lines
 Know the sum of angles around a point
 Understand that area is measured in square centimetres
 Choose suitable metric units to estimate length and area.
 Draw parallel lines and mark parallel lines on a diagram
 Recognise reflection symmetry
 Use correct notation for labelling lines
 Know the sum of angles in a triangle is 180°
 Recognise and visualise the reflection in a mirror line of a 2D shape
 Translate a shape on a square/coordinate grid
 Understand and use the language associated with rotations
 Read and construct scale drawings

W1 
 Know the sum of angles on a straight line
 Know how to tessellate polygons
 Find the perimeter of a square/rectangle by counting
 Identify the net of a cube
 Identify and name common solids
 Know the terms face, edge and vertex
 Suggest suitable units to measure length, mass and capacity
 Read and interpret scales on a range of measuring instruments
 Work out time intervals
 Draw sketches of shapes
 Recognise properties of squares and rectangles
 Understand and use the language associated with translations
 Understand and use the language associated with reflections
 Enlarge a shape on a grid (without a centre specified)
