Shape and measurement
This topic includes:
• review of units of measurement of length, angle, area, volume and capacity
• Pythagoras’ theorem in two dimensions, and simple examples in three dimensions, and application to practical
problems• perimeter and areas of triangles (including the use of Heron’s formula), quadrilaterals, circles and composite
shapes and practical applications
• volumes and surface areas of solids (spheres, cylinders, pyramids and prisms and their composites) and
practical applications
• similar figures including the mathematical conditions for similarity of two-dimensional shapes, and the linear
scale factor and its extension to areas and volumes
• similarity of solids and the application of linear scale factor k > 0 to scale lengths, surface areas and volumes
with practical applications.
Applications of trigonometry
This topic includes:
• review of the use of trigonometric ratios for sine, cosine and tangent to find the length of an unknown side or
the size of an unknown angle in a right-angled triangle
• application of the trigonometry of right-angled triangles to solve practical problems including the use of angles
of elevation and depression, and the use of three figure (true) bearings in navigation
• extension of sine and cosine to angles of up to 180°
• area of a triangle using the rule Area = 1/2 ab sin(C)
• the sine rule (including the ambiguous case) and cosine rule (as a generalisation of Pythagoras’ theorem) and
their application to solving practical problems requiring the solution of non-right angled triangles
• sets of sufficient information to determine a triangle.
This topic includes:
• review of units of measurement of length, angle, area, volume and capacity
• Pythagoras’ theorem in two dimensions, and simple examples in three dimensions, and application to practical
problems• perimeter and areas of triangles (including the use of Heron’s formula), quadrilaterals, circles and composite
shapes and practical applications
• volumes and surface areas of solids (spheres, cylinders, pyramids and prisms and their composites) and
practical applications
• similar figures including the mathematical conditions for similarity of two-dimensional shapes, and the linear
scale factor and its extension to areas and volumes
• similarity of solids and the application of linear scale factor k > 0 to scale lengths, surface areas and volumes
with practical applications.
Applications of trigonometry
This topic includes:
• review of the use of trigonometric ratios for sine, cosine and tangent to find the length of an unknown side or
the size of an unknown angle in a right-angled triangle
• application of the trigonometry of right-angled triangles to solve practical problems including the use of angles
of elevation and depression, and the use of three figure (true) bearings in navigation
• extension of sine and cosine to angles of up to 180°
• area of a triangle using the rule Area = 1/2 ab sin(C)
• the sine rule (including the ambiguous case) and cosine rule (as a generalisation of Pythagoras’ theorem) and
their application to solving practical problems requiring the solution of non-right angled triangles
• sets of sufficient information to determine a triangle.