Search results

Result list

• VC2M7N09

  recognise, represent and solve problems involving ratios

  Elaborations

  • using diagrams, physical or virtual materials to represent ratios, recognising that ratios express the quantitative relationship between 2 or more groups; for example, using counters or coloured beads to show the ratios 1:4 and 1:1:2
  • using fractions to solve ratio problems involving comparison of quantities and considering part-part and part-whole relations; for example, dividing a set into the ratio 1:2 by determining the number of parts as 3
  • sharing quantities in a given ratio; for example, sharing an amount of money in a given ratio, such as sharing $20 in the ratio 2:3
  • applying ratios to realistic and meaningful contexts – for example, mixing 500 millilitres of a liquid with a concentration of 1:4 means 15 concentrate and 45 water so, 0.2 of 500 millilitres is concentrate and 0.8 of 500 millilitres is water – and interpreting results in context

  VC2M7N09 | Mathematics | Mathematics Version 2.0 | Level 7 | Number

• VC2M5P01

  list the possible outcomes of chance experiments involving equally likely outcomes and compare to those that are not equally likely

  Elaborations

  • discussing what it means for outcomes to be equally likely and comparing the number of possible and equally likely outcomes of chance events; for example, when drawing a card from a standard deck of cards there are 4 possible outcomes if you are interested in the suit, 2 possible outcomes if you are interested in the colour or 52 outcomes if you are interested in the exact card
  • discussing how chance experiments that have equally likely outcomes can be referred to as random chance events; for example, if all the names of students in a class are placed in a hat and one is drawn at random, each person has an equally likely chance of being drawn
  • commenting on the chance of winning games by considering the number of possible outcomes and the consequent chance of winning
  • investigating why some games are fair and others are not; for example, drawing a track game to resemble a running race and taking it in turns to roll 2 dice, where the first runner moves a square if the difference between the 2 dice is zero, one or 2 and the second runner moves a square if the difference is 3, 4 or 5, and responding to the questions ‘Is this game fair?’, ‘Are some differences more likely to come up than others?’ and ‘How can you work that out?’
  • comparing the chance of a head or a tail when a coin is tossed, whether some numbers on a dice are more likely to be facing up when the dice is rolled, or the chance of getting a 1, 2 or 3 on a spinner with uneven regions for the numbers
  • discussing supermarket promotions such as collecting stickers or objects and whether there is an equal chance of getting each of them

  VC2M5P01 | Mathematics | Mathematics Version 2.0 | Level 5 | Probability

• VCASFC201

  Interact with peers and others in and out of the classroom through reflection, discussion and participation in shared experiences

  Elaborations

  • making connections between ideas, actions and effects, using reflective language such as:
    SOMETIMES POSSIBLE HAPPEN++ WHY I-F PRO2 PAST THINK-ABOUT WILL TRUE HAPPEN
    Sometimes things happen because you think they will, so it comes true.
    CAR CRASH BECAUSE TEXTING.
    The car crashed because he was texting.
    
  • extending their repertoire of sign vocabulary through independent use of social media and digital resources to support more extended discussion
  • demonstrating culturally appropriate behaviours such as nominating themselves as interpreters in role-play interactions between deaf and hearing friends
  • demonstrating culturally appropriate behaviours when engaging with unfamiliar members of the Deaf community, for example, waiting to be introduced to new people, knowing how to introduce themselves as L2 Auslan learners
  • identifying and comparing learning strategies that support their Auslan learning experience

  VCASFC201 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• VCASFC236

  Engage in various collaborative tasks that involve making decisions, solving problems and evaluating progress

  Elaborations

  • participating in visits to a Deaf club or organisation and sharing responsibility for individual elements of a report that highlights key features of the experience
  • working with peers to solve problems, such as how to use video editing and/or captioning programs
  • working with a team to plan a fundraising event or a promotional display for Auslan at an open day/night and evaluating the experience to improve subsequent planning and organisation
  • assuming the role of a chairperson managing a small group discussion and conducting decision-making processes
  • contributing to the solving of hypothetical scenarios using conditionals, for example designing questions for a job interview such as:
    PRETEND SOMEONE DS:one-person-approach-other BLAST, PRO2 D-O WHAT?
    Pretend someone approaches you and tells you off; what will you do?
    I-F PRO2 BOSS PRO2 WILL CHANGE WHAT?
    What would you change if you were boss?

  VCASFC236 | Languages | Auslan | Second Language Learner | 7–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• VC2M1A01

  recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects including Australian coins, formed by skip counting, initially by twos, fives and tens

  Elaborations

  • using number charts, songs, rhymes and stories to establish skip counting sequences of twos, fives and tens
  • using shapes and objects to represent a growing pattern formed by skip counting; for example, using blocks or beads to represent the growing patterns 2, 4, 6, 8, 10 … and 5, 10, 15, 20 …
  • recognising the patterns in sequences formed by skip counting; for example, recognising that skip counting in fives starting from zero always results in either a 5 or zero as the final digit
  • counting by twos, fives or tens to determine how much money is in a collection of coins or notes of the same denomination, for example, 5-cent, 10-cent and $2 coins or $5 and $10 notes
  • using different variations of the popular Korean counting game Sam-yuk-gu for generating skip counting pattern sequences

  VC2M1A01 | Mathematics | Mathematics Version 2.0 | Level 1 | Algebra

• VC2M2A02

  recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

  Elaborations

  • using ten-frames or materials such as connecting cubes to develop and record addition and subtraction strategies including doubles, near doubles, counting on, combinations to 10 and bridging to 10, explaining patterns and connections noticed within the facts
  • partitioning and rearranging collections to practise and develop fluency with addition and subtraction facts to 20, leading to the recall of these facts; for example, partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 10 birds be spread among 2 trees?’, 10 = 10 + 0, 10 = 9 + 1, 10 = 8 + 2, 10 = 7 + 3, …), explaining how they know they have found all possible partitions 

  VC2M2A02 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2M3A02

  extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator

  Elaborations

  • partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 12 monkeys be spread among 2 trees?’, 12 = 12 + 0, 12 = 11 + 1, 12 = 10 + 2, 12 = 9 + 3, …), explaining how they know they have found all possible partitions
  • understanding basic addition and related subtraction facts and using extensions to these facts; for example, 6 + 6 = 12, 16 + 6 = 22, 6 + 7 = 13, 16 + 7 = 23, and 60 + 60 = 120, 600 + 600 = 1200

  VC2M3A02 | Mathematics | Mathematics Version 2.0 | Level 3 | Algebra

• VC2M5A01

  recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

  Elaborations

  • using materials or diagrams to develop and explain division strategies, such as halving, using the inverse relationship to turn division into a multiplication
  • using arrays, multiplication tables, and physical and virtual materials to develop families of facts, for example, 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4 and 12 ÷ 4 = 3
  • demonstrating multiplicative partitioning using materials, diagrams or arrays and recording 2 multiplication and 2 division facts for each grouping (for example, 4 × 6 = 24, 6 × 4 = 24, 24 ÷ 4 = 6 and 24 ÷ 6 = 4), explaining how each grouping is different from and connected to other groupings in the materials, diagrams or arrays
  • using materials, diagrams or arrays to recognise and explain the inverse relationship between multiplication and division (for example, solving 240 ÷ 20 = □ by thinking 20 × □ = 240) and using the inverse to make calculations easier (for example, solving 17 × □ = 221 using division, □ = 221 ÷ 17)

  VC2M5A01 | Mathematics | Mathematics Version 2.0 | Level 5 | Algebra

• VC2M6N04

  apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

  Elaborations

  • applying estimation strategies to addition and subtraction of decimals to at least thousandths before calculating answers or when a situation requires just an estimation
  • applying whole-number strategies; for example, using basic facts, place value, partitioning and the inverse relationship between addition and subtraction, and properties of operations to develop meaningful mental strategies for addition and subtraction of decimal numbers to at least hundredths
  • working additively with linear measurements expressed as decimals up to 2 and 3 decimal places; for example, calculating how far off the world record the athletes were at the last Olympic Games in the women’s long jump or shot-put and comparing school records to the Olympic records
  • deciding to use a calculator as a calculation strategy for solving additive problems involving decimals that vary in their number of decimal places beyond hundredths; for example, 1.0 − 0.0035 or 2.345 + 1.4999

  VC2M6N04 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• VC2M10ST01

  compare data distributions for continuous numerical variables using quartiles and interquartile range and appropriate data displays including boxplots, histograms and dot plots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data

  Elaborations

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the boxplot, as tools for both numerically and visually comparing the centre and spread of data sets
  • exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data
  • constructing and interpreting boxplots and using them to compare data sets, understanding that boxplots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • comparing shapes of distributions using boxplots, histograms, cumulative frequency graphs and dot plots, discussing symmetry, skew and modality
  • using digital tools to compare boxplots and histograms as displays of the same data in the light of the statistical questions being addressed and the effectiveness of the display in helping to answer the question
  • comparing the information that can be extracted and the stories that can be told about continuous and discrete numerical data sets that have been displayed in different ways, including histograms, dot plots, boxplots and cumulative frequency graphs

  VC2M10ST01 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VCASFC148

  Organise and summarise key points of information obtained from different types of Auslan texts

  Elaborations

  • retelling key points of information used in classroom interactions and school activities, such as announcements or directions for a game or task
  • watching Auslan texts that show people expressing likes and dislikes, and recording observations in table form
  • watching a signed presentation by a teacher, peer or visitor and identifying specific points of information
  • surveying peers in relation to their interests and preferences, summarising findings in formats such as profiles, charts or graphs
  • following the steps of a signed demonstration or procedure such as baking/cooking or simple science experiments, checking with each other about ingredients and processes
  • recounting in correct sequence the main points of a shared event such as an assembly performance or sports carnival

  VCASFC148 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• VCEBE019

  Identify relationships and trends, and generate a range of alternatives for an economic or business issue or event, evaluating the potential costs and benefits of each alternative and the consequences of proposed actions

  Elaborations

  • interpreting tables, charts and graphs containing economic or business data to identify trends and using the data to make predictions about future trends, for example, trends in online shopping
  • examining the trade-offs involved in making choices
  • investigating how businesses identify opportunities in the market
  • undertaking a cost-benefit analysis of alternatives proposed and making a decision about which one to recommend
  • discussing the consequences of an economic or business decision, and reflecting on whether this was the ‘best’ decision and what might be the effect of alternative actions
  • developing skills to contest and debate ideas and to express opinions on economics and business issues that interest and/or affect them or society

  VCEBE019 | The Humanities | Economics and Business | Levels 7 and 8 | Economic and Business Reasoning and Interpretation

• VCELC123

  Locate key information about everyday contexts and routines from written, spoken, digital and visual texts

  Elaborations

  • surveying classmates regarding their likes, interests, routines and activities, and tabulating the results, for example, in birthday charts or graphs
  • reading profiles and stories in print and digital form about people and animals, and creating a display with names and short descriptions, for example, Το λιοντάρι είναι μεγάλο, Το ποντίκι είναι μικρό
  • locating information relating to school activities in a Greek context, for example, from a sister-school, and comparing with own daily schedule/routine
  • identifying points of information in short spoken texts with some unfamiliar language, for example, some items on a recorded shopping list

  VCELC123 | Languages | Modern Greek | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• VCGGC132

  Analyse and evaluate data, maps and other geographical information using digital and spatial technologies and Geographical Information Systems as appropriate, to develop identifications, descriptions, explanations and conclusions that use geographical terminology

  Elaborations

  • constructing a graph to show the relationship between growth in world population and world food production
  • comparing maps showing transport networks with survey responses on personal mobility
  • analysing environmental change, such as the clearance of vegetation or a plan for a vegetation corridor, using topographic maps and satellite images
  • identifying the relevant layers of a Geographical Information System and using them to investigate how they can portray and analyse demographic, economic and environmental data, and investigating the use of GIS by organisations.
  • testing conclusions by considering alternative points of view about an area of investigation and providing a response using as organisers at least two of the concepts of place, space, environment, interconnection, sustainability, scale and change

  VCGGC132 | The Humanities | Geography | Levels 9 and 10 | Geographical Concepts and Skills | Data and information

• VCGGC076

  Interpret maps and other geographical data and information to develop identifications, descriptions, explanations and conclusions, using geographical terminology including simple grid references, compass direction and distance

  Elaborations

  • constructing tables or graphs to show the similarities and differences between places, and discussing possible reasons for them
  • discussing and comparing how Aboriginal and Torres Strait Islander peoples may represent places and their features visually, for example, in paintings and sand drawings, and identifying the symbols and patterns used.
  • comparing a range of thematic maps, for example, maps of relief, climate, vegetation, animals and bird life to find relationships
  • using geographical terms to explain relationships, for example between the environment and sustaining life
  • describing the relative location of different features in a place by distance and compass direction. For example, from their home to the local waste management site

  VCGGC076 | The Humanities | Geography | Levels 3 and 4 | Geographical Concepts and Skills | Data and information

• VCIDC039

  Convey information about aspects of language and culture using diagrams, charts, timelines, descriptions and guided reports

  Elaborations

  • presenting factual information related to cultural activities and events of significance, for example, daily routines, celebrations, sporting events and concerts
  • conveying information about activities and environment using a range of text types and modes, for example, a report about an excursion for a school newsletter, a class website, a short documentary about the neighbourhood/region
  • using graphic organisers to convey information in particular ways, for example, to show priorities (list/table), to compare statistics or ideas (Venn diagram), or to highlight frequency (graphs)
  • reporting information (for example, about city and village life) based on own or group research, and supporting the information with photos, illustrations, captions or diagrams

  VCIDC039 | Languages | Indonesian | F–10 Sequence | Levels 5 and 6 | Communicating | Informing

• VCKOC005

  Present ideas and information obtained from different sources in a variety of ways for a different audiences such as listing, tabulating, sequencing or charting information

  Elaborations

  • reporting, orally and in writing, on events in their immediate environments or personal worlds, such as a school/community event, celebration, excursion, or the arrival of a new student, for example, 토니는 아주 재미있어요, 토니는 김치를 안/못 먹어요
  • presenting in the form of graphs or tables information collected from surveys, for example, results from a class survey about likes and dislikes, leisure activities or diets
  • creating texts to present information or ideas to a particular audience, for example, to advertise an event, create a virtual tour of the school or report on a favourite band or type of music
  • describing and classifying aspects of Australian culture for a Korean audience, for example, food/diet, daily life, significant places or cultural practices

  VCKOC005 | Languages | Korean | 7–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VC2M7A05

  generate tables of values from visually changing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

  Elaborations

  • plotting points from a table of values generated using simple linear functions and recognising patterns, such as the points lie on a straight line
  • discussing and using variables to create a general rule and using the rule to determine the value of the dependent variable for any given value of the independent variable; for example, plotting the value of the circumference of a circle for varying values of radius
  • using function machines to generate a table of ordered pairs using input and output values, plotting the relationships on a Cartesian plane and describing the graph in terms of shape
  • using diagrams and manipulatives to form linear growth patterns, representing these patterns in tables and describing the relationship in terms of the way the pattern is growing and in the context of the situation

  VC2M7A05 | Mathematics | Mathematics Version 2.0 | Level 7 | Algebra

• VC2M10A14

  solve simple exponential equations

  Elaborations

  • investigating exponential equations derived from authentic mathematical models based on population growth
  • recognising that in a table of values, if the ratio between consecutive values of the dependent variable is constant, then it is an exponential relation
  • investigating the links between algebraic and graphical representations of exponential functions using graphing software
  • using digital tools with symbolic manipulation functionality to systematically explore exponential relations
  • investigating Aboriginal and/or Torres Strait Islander ranger groups’ and other groups’ programs that attempt to eradicate feral animals for survival of native animals on Country/Place, exploring the competition between feral and native animals and their impact on natural resources by formulating exponential equations for population growth for each animal species 

  VC2M10A14 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VC2M10ST05

  plan and conduct statistical investigations of situations that involve bivariate data, including where the independent variable is time; evaluate and report findings with consideration of limitations of any inferences

  Elaborations

  • designing statistical investigations that collect bivariate data over time through observation, experiment or measurement; graphing, interpreting and analysing data; and reporting within the context of the statistical investigation question
  • investigating and comparing anecdotal claims with data collected from well-constructed surveys, including those concerning climate, housing affordability and natural resources, with consideration of data validity and limitations of interpolation or extrapolation
  • using a statistical investigation to address the question ‘Is there a relationship between vaccines and immunity from a virus?’
  • investigating biodiversity changes in Australia before and after colonisation by comparing related bivariate numerical data, discussing and reporting on associations

  VC2M10ST05 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics