11–12Mathematics Standard 11–12 Syllabus

Implementation from 2026

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Content

Year 11

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Teaching advice

Examples

Applications of measurement

MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MST-11-05
solves problems involving measurement in practical contexts

Related Life Skills content for Stage 6

Number

Measurement

Mathematics project

Applications of measurement

Practicalities of measurement

Identify and convert between the metric units of length: millimetres (mm), centimetres (cm), metres (m) and kilometres (km)
Identify and convert between metric units of area, using ${1 cm}^{2} = 100 {mm}^{2}$ , $1 m^{2} = 10 000 {cm}^{2}$ , $1 ha = 10 000 m^{2}$ and $1 {km}^{2} = 1 000 000 m^{2}$
Identify and convert between metric units of volume, using ${1 cm}^{3} = 1000 {mm}^{3}$ , $1 m^{3} = 1 000 000 {cm}^{3}$ , and $1 {km}^{3} = 1 000 000 000 m^{3}$
Identify and convert between the metric units of capacity: millilitres (mL), litres (L), kilolitres (kL) and megalitres (ML)
Identify and convert between units of volume and capacity, using $1 c m^{3} = 1 mL$ , $1 m^{3} = 1000 L = 1 kL$ and $1000 kL = 1 ML$
Identify and convert between the metric units of mass: milligrams (mg), grams (g), kilograms (kg) and tonnes (t)
Apply scientific notation to represent numbers involving standard prefixes: nano- (n) for $10^{- 9}$ , micro- (µ) for $10^{- 6}$ , milli- (m) for $10^{- 3}$ , centi- (c) for $10^{- 2}$ , kilo- (k) for $10^{3}$ , mega- (M) for $10^{6}$ , giga- (G) for $10^{9}$ and tera- (T) for $10^{12}$ , with and without a required number of significant figures

Perimeter, area and volume

Solve practical problems requiring the calculation of perimeters and areas of triangles, rectangles, parallelograms, trapeziums, circles, sectors of circles and composite shapes in a variety of contexts
Apply Pythagoras’ theorem to solve problems involving right-angled triangles
Calculate perimeters and areas of irregularly shaped blocks of land by dissection into triangles, rectangles and trapeziums
Solve practical problems involving the surface area of prisms, cylinders, spheres and composite solids in a variety of contexts
Solve practical problems involving volume and capacity of prisms, cylinders, spheres, cones, pyramids and composite solids in a variety of contexts
Apply the Trapezoidal rule $A \approx \frac{h}{2} (d_{f} + d_{l})$ , where $A$ is the area, $d_{f}$ and $d_{l}$ are the lengths of the parallel sides of the trapezium, $d_{f}$ is the first length and $d_{l}$ is the last length, and $h$ is the perpendicular distance between them, to solve a variety of practical problems involving area, volume and capacity for up to four applications

Related files

Year 12 – Standard 1

Year 12 – Standard 2

Life Skills