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• VCMMG028

  Recognise and participate in familiar events that happen on a daily basis

  Elaborations

  • recognising the sequence of familiar events, for example ‘first and then’, with the support of picture-based schedules
  • understanding and using environmental cues such as equipment, staff and location to predict and identify activities
  • assisting in the construction of visual timetable for the class
  • responding to the signal from a timer to indicate the end of an activity

  VCMMG028 | Mathematics | Level B | Measurement and Geometry | Using units of measurement

• VCMMG064

  Use direct comparison to sort three dimensional objects and two dimensional shapes

  Elaborations

  • sorting shapes that are the ‘same’ or ‘different’
  • identifying, matching and sorting simple familiar two and three dimensional objects according to a single attribute
  • identifying familiar shapes hidden in a picture
  • investigating the inside and outside shape of an object
  • understanding the relationship between shape and template, for example, insert puzzle, inserting a shape in a matching shaped hole

  VCMMG064 | Mathematics | Level D | Measurement and Geometry | Shape

• VCMMG368

  Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies

  Elaborations

  • establishing the symmetrical properties of trigonometric functions
  • investigating angles of any magnitude
  • understanding that trigonometric functions are periodic and that this can be used to describe motion
  • identifying points on the unit circle via arc lengths in radians, which correspond to specified values of the circular functions sine, cosine and tangent

  VCMMG368 | Mathematics | Level 10A | Measurement and Geometry | Pythagoras and trigonometry

• 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

• 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

• VCMNA019

  Correspond ‘one’ with a single object

  Elaborations

  • showing understanding of object permanency, by tracking and finding an object
  • exploring ‘oneness’ and indicate one, for example one clap, experiencing one object, giving out materials one at a time, requesting one, hearing one sound or beat
  • distributing objects and materials with support, using basic one-to-one correspondence

  VCMNA019 | Mathematics | Level B | Number and Algebra | Number and place value

• VCMNA105

  Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting

  Elaborations

  • using an abacus to model and represent numbers
  • understanding three-digit numbers as comprised of hundreds, tens and ones/units
  • demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning

  VCMNA105 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA072

  Compare, order and make correspondences between collections, initially to 20, and explain reasoning

  Elaborations

  • comparing and ordering items of like and unlike characteristics using the words ‘more’, ‘less’, ‘same as’ and ‘not the same as’ and giving reasons for these answers
  • understanding and using terms such as ‘first’ and ‘second’ to indicate ordinal position in a sequence.
  • using objects which are personally and culturally relevant to students

  VCMNA072 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA277

  Solve a range of problems involving rates and ratios, including distance-time problems for travel at a constant speed, with and without digital technologies

  Elaborations

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
  • calculating population growth rates in Australia and Asia and explaining their difference
  • finding one of distance travelled, time taken or average speed given the other two quantities

  VCMNA277 | Mathematics | Level 8 | Number and Algebra | Real numbers

• VC2M9P02

  calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’, inclusive ‘or’ and exclusive ‘or’

  Elaborations

  • understanding that relative frequencies from large data sets or long-run experiments can provide reliable measures of probability and can be used to make predictions of decisions 
  • using Venn diagrams or two-way tables to estimate frequencies of events involving ‘and’ and ‘or’ questions

  VC2M9P02 | Mathematics | Mathematics Version 2.0 | Level 9 | Probability

• VCMSP235

  Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

  Elaborations

  • 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
  • understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

  VCMSP235 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCNRC062

  Consider how own biography, including personal experiences, family origins, traditions and beliefs, impact on identity and shape own intercultural experiences

  Elaborations

  • reflecting on the experience of learning and using the language and the role of language and culture in expressing identity, and considering the influence of own background on ways of communicating
  • reflecting on how learning the language may have impacted on own identity and understanding of the world such as an increased awareness of representations in the media of countries where the language is spoken

  VCNRC062 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Reflecting

• VCNRU115

  Develop knowledge of vocabulary and sentence structures to elaborate meaning

  Elaborations

  • extending understanding and use of present, past and future tenses
  • referring to the past, present and future using time indicators
  • expanding use of adjectives
  • developing knowledge of vocabulary relating to, for example, immediate environments, relationships, leisure, hobbies, shopping, travel

  VCNRU115 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCPSCSO048

  Acknowledge the importance of empathy and the acceptance of diversity for a cohesive community and reflect on the effectiveness of strategies for being respectful of diversity and human rights

  Elaborations

  • exploring definitions of empathy and using examples to demonstrate understanding of this concept
  • discussing how human rights are expressed across a range of contexts, for example at home, school or workplace, in local or global scenarios
  • analysing the effects of actions that promote human rights and build a respectful cohesive community

  VCPSCSO048 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Social Awareness and Management | Relationships and diversity

• VCPSCSO030

  Define and recognise examples of stereotypes, discrimination and prejudice and discuss how they impact on the individual

  Elaborations

  • identifying the terms ‘stereotype’, ‘discrimination’ and ‘prejudice’ and giving examples of these
  • discussing how lack of understanding and respect for diversity can impact on people’s lives
  • presenting students with a range of newspaper articles and asking them to identify examples of stereotypes, discrimination and prejudice and reflect on how these could impact on the individual

  VCPSCSO030 | Capabilities | Personal and Social Capability | Levels 5 and 6 | Social Awareness and Management | Relationships and diversity

• VCRAC025

  Translate using textual cues such as pictures, layout and key words to predict meaning, and comment on the non-equivalence of words due to cultural differences

  Elaborations

  • translating texts such as public signs to understand their gist and noticing how meaning changes when translating into English, such as levels of politeness
  • identifying and explaining expressions which do not easily translate into English
  • comparing translations of creative works (such as a song or advertisement), noticing how words have more than just a literal meaning

  VCRAC025 | Languages | Roman Alphabet Languages | F–10 Sequence | Levels 3 and 4 | Communicating | Translating

• VCSIS110

  Construct and use a range of representations including graphs, keys and models to record and summarise data from students’ own investigations and secondary sources, and to represent and analyse patterns and relationships

  Elaborations

  • understanding different types of diagrammatic, graphical and physical representations and considering their strengths and limitations
  • comparing and contrasting data from a number of sources in order to create a summary of collected data
  • using diagrammatic representations to convey abstract ideas and to simplify complex situations

  VCSIS110 | Science | Levels 7 and 8 | Science Inquiry Skills | Recording and processing

• VCZHC168

  Create bilingual texts relating to other learning areas and topics of interest, considering the influence of different roles, relationships, settings and situations when interpreting both Chinese and English

  Elaborations

  • observing others involved in interpreting meaning in bilingual contexts and identifying challenges and potential issues in mediation
  • using Chinese dictionaries to enhance understanding of subtle differences in how and when words are used, and applying this knowledge to interpreting meanings in texts and interactions

  VCZHC168 | Languages | Chinese | Background Language Learner | F–10 Sequence | Levels 7 and 8 | Communicating | Translating

• VCZHU236

  Identify and explain the differences between traditional and simplified characters, inferring meaning and sound of unfamiliar characters from knowledge of components and positions

  Elaborations

  • analysing relationships between characters and meanings in phrases representing auspicious meanings such as 年年有鱼－年年有余;年糕－年年高升; 枣栗子－早立子; 8－发.
  • applying understanding of orthographic principles to correct mistakes in own character writing

  VCZHU236 | Languages | Chinese | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Understanding | Systems of language