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NSW Syllabuses

Measurement and Geometry

Students:
  • identify, visualise and quantify measures and the attributes of shapes and objects, and explore measurement concepts and geometric relationships, applying formulas, strategies and geometric reasoning in the solution of problems

Early Stage 1
outcomes

A student:

Stage 1
outcomes

A student:

Stage 2
outcomes

A student:

Stage 3
outcomes

A student:

Stage 4
outcomes

A student:

Stage 5.1
outcomes

A student:

Stage 5.2
outcomes

A student:

Stage 5.3
outcomes

A student:
  • describes and compares lengths and distances using everyday language

    MAe-9MG
  • measures, records, compares and estimates lengths and distances using uniform informal units, metres and centimetres

    MA1-9MG
  • measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures

    MA2-9MG
  • selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length

    MA3-9MG
  • calculates the perimeters of plane shapes and the circumferences of circles

    MA4-12MG
  • describes and compares areas using everyday language

    MAe-10MG
  • measures, records, compares and estimates areas using uniform informal units

    MA1-10MG
  • measures, records, compares and estimates areas using square centimetres and square metres

    MA2-10MG
  • selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles

    MA3-10MG
  • uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area

    MA4-13MG
  • calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms

    MA5.1-8MG
  • calculates the surface areas of right prisms, cylinders and related composite solids

    MA5.2-11MG
  • applies formulas to find the surface areas of right pyramids, right cones, spheres and related composite solids

    MA5.3-13MG
  • describes and compares the capacities of containers and the volumes of objects or substances using everyday language

    MAe-11MG
  • measures, records, compares and estimates volumes and capacities using uniform informal units

    MA1-11MG
  • measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres

    MA2-11MG
  • selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity

    MA3-11MG
  • uses formulas to calculate the volumes of prisms and cylinders, and converts between units of volume

    MA4-14MG
  • applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders

    MA5.2-12MG
  • applies formulas to find the volumes of right pyramids, right cones, spheres and related composite solids

    MA5.3-14MG
  • describes and compares the masses of objects using everyday language

    MAe-12MG
  • measures, records, compares and estimates the masses of objects using uniform informal units

    MA1-12MG
  • measures, records, compares and estimates the masses of objects using kilograms and grams

    MA2-12MG
  • selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass

    MA3-12MG
  • sequences events, uses everyday language to describe the durations of events, and reads hour time on clocks

    MAe-13MG
  • describes, compares and orders durations of events, and reads half- and quarter-hour time

    MA1-13MG
  • reads and records time in one-minute intervals and converts between hours, minutes and seconds

    MA2-13MG
  • uses 24-hour time and am and pm notation in real-life situations, and constructs timelines

    MA3-13MG
  • performs calculations of time that involve mixed units, and interprets time zones

    MA4-15MG
  • interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures

    MA5.1-9MG
  • applies Pythagoras’ theorem to calculate side lengths in right-angled triangles, and solves related problems

    MA4-16MG
  • applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression

    MA5.1-10MG
  • applies trigonometry to solve problems, including problems involving bearings

    MA5.2-13MG
  • applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions

    MA5.3-15MG
  • manipulates, sorts and represents three-dimensional objects and describes them using everyday language

    MAe-14MG
  • sorts, describes, represents and recognises familiar three-dimensional objects, including cones, cubes, cylinders, spheres and prisms

    MA1-14MG
  • makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features

    MA2-14MG
  • identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views

    MA3-14MG
  • manipulates, sorts and describes representations of two-dimensional shapes, including circles, triangles, squares and rectangles, using everyday language

    MAe-15MG
  • manipulates, sorts, represents, describes and explores two-dimensional shapes, including quadrilaterals, pentagons, hexagons and octagons

    MA1-15MG
  • manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features

    MA2-15MG
  • manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties

    MA3-15MG
  • classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

    MA4-17MG
  • describes and applies the properties of similar figures and scale drawings

    MA5.1-11MG
  • calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

    MA5.2-14MG
  • proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals

    MA5.3-16MG
  • identifies, describes, compares and classifies angles

    MA2-16MG
  • measures and constructs angles, and applies angle relationships to find unknown angles

    MA3-16MG
  • identifies and uses angle relationships, including those related to transversals on sets of parallel lines

    MA4-18MG
  • applies deductive reasoning to prove circle theorems and to solve related problems

    MA5.3-17MG
  • describes position and gives and follows simple directions using everyday language

    MAe-16MG
  • represents and describes the positions of objects in everyday situations and on maps

    MA1-16MG
  • uses simple maps and grids to represent position and follow routes, including using compass directions

    MA2-17MG
  • locates and describes position on maps using a grid-reference system

    MA3-17MG