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Investigating Circles
Vocabulary
Finding circumferences
Finding areas
Solving problems
Circles with no calculators
Cylinders
Arcs and sectors
Complex problems including segments
Investigating Triangles
Standard use of Pythagoras' Theorem
Identifying right-angled triangles
Identifying the nature of angles
Pythagoras' Theorem without a calculator
Distance between coordinates
Pythagoras' Theorem in 3D
Investigating Angles
Angle properties of special triangles
Interior and exterior angles in quadrilaterals
Calculating angles in polygons
Problem solving with angles in polygons - tessellation
Identifying the appropriate trigonometrical ratio II
Finding a missing side using trigonometry
Finding a missing angle using trigonometry
Bearings
The sine and cosine rules
Graphs of trigonometric functions
Solving trigonometric equations using the symmetry of their graphs
Trigonometry in 3D
Solving Volume Problems
Volumes of cuboids
Volumes of prisms
Volumes of cones and spheres
Volume of a frustum of a truncated cone I
Volume of a frustum of a truncated cone II
Solving Area Problems
Area of common shapes
Surface area of prisms
Surface area of cones and spheres
Area of a triangle using ½absinC - part 1
Area of a triangle using ½absinC - part 2
Surface area of a frustum of a truncated cone
Organising Space
Finding the midpoint of the line segment AB
Coordinates in three dimensions
Finding midpoints without a diagram
Using vector notation
Sums, differences and multiples of vectors
Understanding properties of vector addition
Geometrical problems and vector methods
Manipulating Shapes I
Identifying the scale factor of an enlargement
Identifying the centre of enlargement
Fractional scale factors
Identifying similar shapes
Understanding negative scale factors
The effect of enlargement on area and volume
Manipulating Shapes II
Planes of symmetry
Describing reflections
Describing rotations
Describing translations
Describing harder reflections
Describing harder rotations
Using vectors to describe translations
Using congruence and similarity
Investigating Angles in Circles
Constructing regular polygons inside a circle
Recognising circle theorems
Using circle theorems I
Using circle theorems II
Describing Units and Formulae
Metric lengths
Metric weights
More metric measurements
Metric and Imperial
Units of area
Speed
Units of volume
Accuracy of measurements
Considering dimensions
Visualising
Nets of a cuboid
Plans and elevations
Constructing a rhombus and a right angle
Unique triangles
Standard constructions
Loci
Geometric proof
Key
Appropriate for all students studying the GCSE Higher Tier course
Appropriate for students aiming to get a grade C or higher
Appropriate for students aiming to get a grade B or higher
Appropriate for students aiming to get a grade A or higher
Appropriate for students aiming to get a grade A*