Search results

Result list

• VCMMG098

  Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features

  Elaborations

  • focusing on geometric features and describing shapes and objects using everyday words such as 'corners', 'edges' and 'faces'

  VCMMG098 | Mathematics | Level 1 | Measurement and Geometry | Shape

• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning

• 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

• 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

• VCMMG115

  Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units

  Elaborations

  • comparing lengths using finger length, hand span or a piece of string
  • comparing areas using the palm of the hand or a stone
  • comparing capacities using a range of containers

  VCMMG115 | Mathematics | Level 2 | Measurement and Geometry | Using units of measurement

• VCMMG081

  Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment

  Elaborations

  • sorting and describing squares, circles, triangles, rectangles, spheres and cubes

  VCMMG081 | Mathematics | Foundation Level | Measurement and Geometry | Shape

• VCMNA139

  Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes

  Elaborations

  • finding and describing simple rules in words to solve problems
  • using simple function machines to represent and apply a process or the inverse process, such as increase or decrease the value of a number by a specified amount

  VCMNA139 | Mathematics | Level 3 | Number and Algebra | Patterns and algebra

• VC2M2SP01

  recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as ‘opposite’, ‘parallel’, ‘curved’ and ‘straight’

  Elaborations

  • sorting a collection of shapes in different ways based on their features, such as number of sides, whether all sides are equal and whether pairs of opposite sides are parallel; for example, sorting collections of triangles and other polygons
  • manipulating shapes and recognising that different orientations do not change the shape; for example, cutting out pictures of various shapes and recognising that they are still classified as the same shape even if they are upside down or on their side
  • investigating the shapes of different sporting fields, describing and labelling their features, including sidelines, centre circles and goal squares; for example, labelling the lines on a basketball court and using spatial terms to describe them
  • creating regular shapes using digital tools, describing and observing what happens when you manipulate them; for example, dragging or pushing vertices to produce irregular shapes, or moving or rotating a shape

  VC2M2SP01 | Mathematics | Mathematics Version 2.0 | Level 2 | Space

• VC2M10SP01

  apply deductive reasoning to formulate proofs involving shapes in the plane and use theorems to solve spatial problems

  Elaborations

  • distinguishing between a practical demonstration and a proof; for example, demonstrating that triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent
  • developing proofs involving congruent triangles and angle properties, communicating the proof using a sequence of logically connected statements
  • applying an understanding of relationships to deduce properties of geometric figures; for example, the base angles of an isosceles triangle are equal
  • investigating proofs of geometric theorems and using them to solve spatial problems, for example, applying logical reasoning and similarity to proofs and numerical exercises involving plane shapes, and using visual proofs to justify solutions
  • using dynamic geometry software to find the quadrilateral that has a vertex on each side of a rectangle and has the shortest possible path, and proving that the path forms a parallelogram

  VC2M10SP01 | Mathematics | Mathematics Version 2.0 | Level 10 | Space

• VC2M4SP04

  recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometry software where appropriate

  Elaborations

  • identifying rotational symmetry of shapes by tracing around various shapes and objects to create an image, and using the image to test and record which different rotations result in the same image
  • using dynamic geometry software to manipulate shapes and create symmetrical patterns; for example, creating tessellation patterns that are symmetrical
  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and Islamic artwork to investigate and discuss line and rotational symmetry
  • exploring the natural environment on Country/Place to investigate and discuss patterns and symmetry of shapes and objects such as in flowers, plants and landscapes

  VC2M4SP04 | Mathematics | Mathematics Version 2.0 | Level 4 | Space

• VC2M7SP04

  design algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

  Elaborations

  • creating a classification scheme for triangles based on sides and angles, using a flow chart that uses sequences and decisions
  • creating a flow chart or hierarchy for quadrilaterals that shows the relationships between trapeziums, parallelograms, rhombuses, rectangles, squares and kites
  • creating a classification scheme for regular, irregular, concave or convex polygons that are sorted according to the number of sides

  VC2M7SP04 | Mathematics | Mathematics Version 2.0 | Level 7 | Space

• VCMSP351

  Compare shapes of box plots to corresponding histograms and dot plots and discuss the distribution of data

  Elaborations

  • investigating data in different ways to make comparisons and draw conclusions
  • using a dot plot, box-plot or histogram to construct a cumulative frequency distribution for a set of data

  VCMSP351 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VC2M8SP04

  design and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

  Elaborations

  • listing the properties or criteria necessary to determine if shapes are similar or congruent
  • using the conditions for congruence of triangles and similarity of triangles to develop a sorting algorithm; for example, creating a flow chart
  • evaluating algorithms for accuracy in classifying and distinguishing between similar and congruent triangles

  VC2M8SP04 | Mathematics | Mathematics Version 2.0 | Level 8 | Space

• VC2M4ST02

  analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data

  Elaborations

  • suggesting questions that can be answered by a given data display and using the display to answer these questions
  • interpreting data representations in the media and other forums where symbols represent one-to-many relationships and how this can be challenging when the representations use part-whole representations
  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data

  VC2M4ST02 | Mathematics | Mathematics Version 2.0 | Level 4 | Statistics

• VCNRC079

  Engage in intercultural experiences, reflecting on own cultural identity and how this shapes personal ways of communicating and thinking

  Elaborations

  • monitoring, evaluating and recording own experiences and reactions when communicating in the language, for example by keeping a diary or journal and considering how perspectives may have changed over time
  • reflecting on and discussing own ways of communicating and behaving and how these may be interpreted by speakers of the language, considering concepts such as ‘culture’, ‘attitudes’, ‘assumptions’ and ‘values’
  • reflecting on the experiences of migrants who speak the language being studied, for example discussing when they came to Australia, the impact they have made on Australian society, and issues of cultural identity

  VCNRC079 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Reflecting

• VCNRU085

  Understand that language, culture and communication are interrelated and shaped by each other, and recognise how this influences attitudes and beliefs

  Elaborations

  • collecting examples of the language being studied in the local landscape, for example, in particular parts of the city such as market places, exhibitions or cultural events, and discussing the influence and significance of the language and culture in Australia today
  • recognising the importance of learning and using different languages in order to access the cultural practices, values and beliefs of others
  • analysing and describing how language use and culture are interrelated and reflect and shape relationships, practices and attitudes across communities who speak the language being studied

  VCNRU085 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Understanding | Role of language and culture

• VCNRU081

  Understand and apply grammatical structures recognising that they serve particular functions and that grammatical choices shape meaning

  Elaborations

  • choosing appropriate terms to describe events across time (present, past and future) and choosing appropriate tense
  • using a range of adverbs and adjectives to modify and intensify meaning
  • using cohesive devices such as conjunctions to link, clarify and sequence ideas and modify meaning in written and spoken texts
  • seeking information using a range of questions
  • continuing to build a metalanguage to describe grammatical concepts and develop learning resources for example, verb charts, vocabulary lists, groups of pronouns, adverbs or adjectives

  VCNRU081 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Understanding | Systems of language

• VCRAC062

  Consider how the students' own biographies, including family origins, traditions and beliefs, impact on identity and shapes the students' intercultural experiences

  Elaborations

  • recognising that aspects of personal identity such as family, religion and marital status may be important in interacting with speakers of the language and in how one may be perceived
  • identifying formative events and experiences in own and others’ upbringing and how these shape identity, for example, events such as graduation or achieving a goal
  • reflecting on how learning the language may have impacted on own identity and understanding of the world such as increased awareness of representations of the culture/s studied in the Australian media

  VCRAC062 | Languages | Roman Alphabet Languages | F–10 Sequence | Levels 7 and 8 | Communicating | Reflecting

• VCRAU119

  Understand the role of language and culture in shaping and conveying cultural identity including the multiple languages and cultures present in other countries and in Australia

  Elaborations

  • understanding how language reflects specific cultural ideas as well as values, such as deference and respect
  • recognising that cultural values, customs and practices are constantly changing and are evident in language use
  • appreciating that language use can reflect and express cultural identity, that multiple languages exist in many regions of the world and Australia, including Indigenous languages; and that many people are multilingual and value this capability as an integral part of their identity

  VCRAU119 | Languages | Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Understanding | Role of language and culture