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• VCMMG343

  Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids

  Elaborations

  • investigating and determining the volumes and surface areas of composite solids by considering the individual solids from which they are constructed

  VCMMG343 | Mathematics | Level 10 | Measurement and Geometry | Using units of measurement

• VCMMG288

  Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving determining radius, diameter, circumference and area from each other

  Elaborations

  • investigating the circumference and area of circles with materials or by measuring, to establish an understanding of formulas
  • investigating the area of circles using a square grid or by rearranging a circle divided into sectors
  • solving problems given one of radius, diameter, circumference or area of a circle, then the other quantities are determined from this

  VCMMG288 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG286

  Choose appropriate units of measurement for area and volume and convert from one unit to another

  Elaborations

  • choosing units for area including mm², cm², m², hectares, km², and units for volume including mm³, cm³, m³
  • recognising that the conversion factors for area units are the squares of those for the corresponding linear units
  • recognising that the conversion factors for volume units are the cubes of those for the corresponding linear units

  VCMMG286 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG290

  Solve problems involving duration, including using 12- and 24-hour time within a single time zone

  Elaborations

  • identifying regions in Australia and countries in Asia that are in the same time zone

  VCMMG290 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG287

  Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites

  Elaborations

  • establishing and using formulas for areas such as trapeziums, rhombuses and kites

  VCMMG287 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG293

  Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

  Elaborations

  • establishing the properties of squares, rectangles, parallelograms, rhombuses, trapeziums and kites
  • identifying properties related to side lengths, parallel sides, angles, diagonals and symmetry

  VCMMG293 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMMG291

  Define congruence of plane shapes using transformations and use transformations of congruent shapes to produce regular patterns in the plane including tessellations with and without the use of digital technology

  Elaborations

  • understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
  • establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
  • exploring tiling patterns in art and design

  VCMMG291 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMMG289

  Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume

  Elaborations

  • investigating the relationship between volumes of rectangular and triangular prisms

  VCMMG289 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMMG292

  Develop the conditions for congruence of triangles

  Elaborations

  • investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence (SSS, SAS, ASA and RHS)
  • solving problems using the properties of congruent figures
  • constructing triangles using the conditions for congruence

  VCMMG292 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMMG222

  Connect decimal representations to the metric system

  Elaborations

  • recognising the equivalence of measurements such as 1.25 metres and 125 centimetres

  VCMMG222 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG226

  Interpret and use timetables

  Elaborations

  • planning a trip involving one or more modes of public transport
  • developing a timetable of daily activities

  VCMMG226 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG230

  Introduce the Cartesian coordinate system using all four quadrants

  Elaborations

  • understanding that the Cartesian plane provides a graphical or visual way of describing location

  VCMMG230 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMMG199

  Use a grid reference system to describe locations. Describe routes using landmarks and directional language

  Elaborations

  • comparing aerial views of Country, desert paintings and maps with grid references
  • creating a grid reference system for the classroom and using it to locate objects and describe routes from one object to another

  VCMMG199 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMMG228

  Construct simple prisms and pyramids

  Elaborations

  • considering the history and significance of pyramids from a range of cultural perspectives including those structures found in China, Korea and Indonesia
  • constructing prisms and pyramids from nets, and skeletal models

  VCMMG228 | Mathematics | Level 6 | Measurement and Geometry | Shape

• VCMMG229

  Investigate the effect of combinations of transformations on simple and composite shapes, including creating tessellations, with and without the use of digital technologies

  Elaborations

  • understanding which attributes of a shape remain the same or change under the effects of transformations such as size, shape or orientation
  • creating tessellations with simple shapes or simple composite shapes

  VCMMG229 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMMG225

  Connect volume and capacity and their units of measurement

  Elaborations

  • recognising that 1ml is equivalent to 1cm³

  VCMMG225 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG201

  Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original

  Elaborations

  • using digital technologies to enlarge shapes
  • using a grid system to enlarge a favourite image or cartoon

  VCMMG201 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMMG200

  Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries

  Elaborations

  • identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
  • identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies

  VCMMG200 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMMG223

  Convert between common metric units of length, mass and capacity

  Elaborations

  • identifying and using the correct operations when converting units including millimetres, centimetres, metres, kilometres, milligrams, grams, kilograms, tonnes, millilitres, litres, kilolitres and megalitres
  • recognising the significance of the prefixes in units of measurement

  VCMMG223 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG231

  Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles

  Elaborations

  • identifying the size of a right angle as 90° and defining acute, obtuse, straight and reflex angles
  • measuring, estimating and comparing angles in degrees and classifying angles according to their sizes
  • investigating the use of rotation and symmetry in the diagrammatic representations of kinship relationships of Central and Western Desert people
  • recognising and using the two alternate conventions for naming angles

  VCMMG231 | Mathematics | Level 6 | Measurement and Geometry | Geometric reasoning