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

Stage 5.3outcomes

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