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• VCMNA131

  Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems

  Elaborations

  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations

  VCMNA131 | Mathematics | Level 3 | Number and Algebra | Number and place value

• 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

• VC2M3P01

  identify practical activities and everyday events that involve chance, and describe possible outcomes and events as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’, explaining reasoning

  Elaborations

  • predicting what could happen next in practical activities that involve an element of chance, considering possible outcomes and using terms such as ‘likely’ or ‘unlikely’ to explain their predictions
  • classifying a list of everyday events or sorting a set of event cards according to how likely they are to happen, using the language of chance and giving reasons for classifications; and discussing how impossible outcomes cannot ever happen, and uncertain outcomes are affected by chance as they may or may not happen, whereas certain events must always happen so they are not affected by chance
  • making predictions and testing what would happen, for example, if 10 names were put in a box and names were then drawn out one at a time and replaced after each selection, discussing how likely it would be after 10 selections that all 10 names were drawn from the box or that one name was drawn multiple times

  VC2M3P01 | Mathematics | Mathematics Version 2.0 | Level 3 | Probability

• VC2M3P02

  conduct repeated chance experiments; identify and describe possible outcomes, record the results, and recognise and discuss the variation

  Elaborations

  • identifying the possible outcomes of a chance experiment, creating a tally chart to record results, carrying out a few trials and tallying the results for each trial, and then responding to the questions ‘How did your results vary for each trial?’ and ‘How do the results vary across the class?’
  • conducting repeated trials of chance experiments such as tossing a coin, throwing a dice, drawing a coloured or numbered ball from a bag, or using a coloured spinner with equal partitions, and identifying the variation in the number of heads/fives/reds between trials

  VC2M3P02 | Mathematics | Mathematics Version 2.0 | Level 3 | Probability

• VC2M3SP01

  make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses

  Elaborations

  • classifying a collection of geometric objects, including cylinders, spheres, prisms and pyramids, according to key features such as the shape and number of faces and/or surfaces, edges and vertices
  • making and comparing objects built out of cubic blocks and discussing key features; for example, comparing the amount of space that objects occupy by counting how many blocks it takes to build different rectangular prisms that have the same height but different bases
  • making geometric objects in solid form out of connecting cubes and in skeleton form with straws, and constructing objects using dynamic geometry software, recognising, comparing and discussing the features of the objects using the different representations
  • using familiar shapes and objects to build or construct models and compare the suitability of different shapes and objects for aspects of the model; for example, building rectangular towers out of connecting cubes and recognising that the taller the tower, the less stable it becomes unless the base is increased; or building bridges out of straws bent into different shapes and comparing the strength of different designs
  • identifying, classifying and comparing common objects found on Country/Place as cubes, rectangular prisms, cylinders, cones and spheres
  • investigating and explaining how Aboriginal and/or Torres Strait Islander Peoples’ dwellings are oriented in the environment to accommodate climatic conditions

  VC2M3SP01 | Mathematics | Mathematics Version 2.0 | Level 3 | Space

• VCMSP149

  Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies

  Elaborations

  • exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations
  • collecting data to investigate features in the natural environment

  VCMSP149 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• VCMSP150

  Interpret and compare data displays

  Elaborations

  • comparing various student-generated data representations and describing their similarities and differences

  VCMSP150 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• VCMSP147

  Conduct chance experiments, identify and describe possible outcomes and recognise variation in results

  Elaborations

  • conducting repeated trials of chance experiments such as tossing a coin or drawing a ball from a bag and identifying the variations between trials

  VCMSP147 | Mathematics | Level 3 | Statistics and Probability | Chance

• VCMSP148

  Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording

  Elaborations

  • refining questions and planning investigations that involve collecting data, and carrying out the investigation. For example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among students in our class?’

  VCMSP148 | Mathematics | Level 3 | Statistics and Probability | Data representation and interpretation

• VC2M3SP02

  interpret and create two-dimensional representations of familiar environments, locating key landmarks and objects relative to each other

  Elaborations

  • designing the layout of a space; for example, designing a proposed games room or a classroom using a blank sheet of paper as the boundary and cut-outs of shapes to represent furniture from a top-view perspective
  • locating themselves within a space, such as a basketball court, oval, stage or assembly hall, guided by a simple hand-held plan indicating the different positions of the participants in the activity
  • sketching a map indicating where they have hidden an object within the classroom, swapping maps with partners and then providing feedback about what was helpful and what was confusing on the map
  • identifying differences in the representation of a place on a map, in an aerial photograph, in a street view and in a satellite image, and discussing the different information the representations can give
  • exploring land maps or cultural maps used by Aboriginal and Torres Strait Islander Peoples to locate, identify and position important landmarks such as waterholes

  VC2M3SP02 | Mathematics | Mathematics Version 2.0 | Level 3 | Space

• VC2M3ST03

  conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

  Elaborations

  • creating a poster, flow chart or infographic that describes the process of statistical investigation, and the components, tools and types of data that can be collected, represented and interpreted for a purpose
  • collaboratively working through a whole-class investigation by choosing a question of interest, using an efficient collection method and recording collected data, and then interpreting the data in terms of the question
  • planning and carrying out investigations that involve collecting data; for example, narrowing the focus of a question such as ‘Which is the most popular breakfast cereal?’ to ‘Which is the most popular breakfast cereal among Year 3 students in our class?’
  • conducting a whole-class statistical investigation into the best day to hold an open day for parents by creating a simple survey, collecting the data by asking the parents, representing and interpreting the results, and deciding as a class which day would be best
  • investigating seasonal calendars of Aboriginal and/or Torres Strait Islander Peoples by collecting data and creating frequency tables and spreadsheets based on environmental indicators, and creating one-to-one data displays about frequency of environmental indicators for the current season

  VC2M3ST03 | Mathematics | Mathematics Version 2.0 | Level 3 | Statistics

• VC2M3ST02

  create and compare different graphical representations of data sets, including using software where appropriate; interpret the data in terms of the context

  Elaborations

  • comparing various student-generated data representations and describing their similarities and differences
  • using digital tools and graphing software to construct graphs of data acquired through experiments or observation and interpreting the data and making inferences; for example, graphing data from a science experiment and interpreting the results
  • selecting appropriate formats or layout styles to present data as information, depending on the type of data and the audience; for example, lists, tables, graphs and infographics
  • using newspapers or magazines to find examples of different displays of data, interpreting and describing the information they present

  VC2M3ST02 | Mathematics | Mathematics Version 2.0 | Level 3 | Statistics

• VC2M3ST01

  acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods, including frequency tables and spreadsheets

  Elaborations

  • using efficient ways to collect and record data (for example, written surveys, online surveys, polling the class using interactive digital mediums) and representing and reporting the results of investigations
  • developing questions of interest and using surveys, observations or experiments to collect categorical, discrete numerical or qualitative data sets and discussing what kind of data can be used to help inform or answer the question in a statistical investigation
  • using lists, tallies, symbols and digital data tables to record and display data collected during a chance experiment, for interpretation
  • using different online sources to access data; for example, using online query interfaces to select and retrieve data from an online database such as weather records, data frequency mapping software such as Google Trends, or the World Health Organization
  • using software to sort and calculate data when solving problems; for example, sorting discrete numerical and categorical data in ascending or descending order and automating simple arithmetic calculations using nearby cells and the summation (‘sum’) function in spreadsheets to calculate total frequencies of collected data

  VC2M3ST01 | Mathematics | Mathematics Version 2.0 | Level 3 | Statistics

• VCNRC020

  Participate in everyday classroom activities, such as asking for permission, requesting help, asking how to say or write something, and praising or encouraging peers

  Elaborations

  • asking for permission and requesting help using frequently used phrases
  • asking how to say or write a word or expression
  • praising and encouraging peers
  • using words, phrases or interjections which can be used in conversation

  VCNRC020 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Socialising

• VCNRC021

  Locate key information about everyday contexts and routines from written, spoken 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
  • locating information relating to school activities in a country where the language is spoken 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

  VCNRC021 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Informing

• VCNRC025

  Translate and interpret words, phrases and sentences used in familiar environments such as school and home, recognising how they may have similar or different meanings to words in English or other known languages

  Elaborations

  • playing matching games with word cards, for example, days of the week, months, seasons or vocabulary associated with weather
  • translating simple sentences, such as requests in the classroom, to understand the gist, noticing how meaning changes when translating into English
  • translating signs or phrases in familiar contexts into English, for example, street signs, addresses, food labels, noting that some signs and symbols are universal, for example, the ‘stop’ sign

  VCNRC025 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Translating

• VCNRC026

  Create simple bilingual resources for familiar audiences

  Elaborations

  • creating hand-made or digital greeting cards in both the language and English for different celebrations and traditions
  • creating bilingual texts for different audiences, for example, signs for the school community, a bilingual class digital dictionary, a word chart, a board game for a younger class
  • creating simple bilingual story books that include captions and images modelled on familiar texts, for example, Spot the Dog

  VCNRC026 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Translating

• VCNRC019

  Participate collaboratively in shared class experiences which involve planning and simple transactional exchanges

  Elaborations

  • preparing, rehearsing and performing an item for an audience, such as a school assembly, another class or parents
  • collaborating with peers on tasks, such as designing a poster for a significant event
  • following simple procedures and using modelled language for shared activities, such as making a simple dish from a recipe and naming ingredients, or following instructions in a craft activity
  • participating in a role play, for example, buying goods from a shop and using props to engage in conversation

  VCNRC019 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Socialising

• VCNRC024

  Create and perform short spoken and written imaginative texts such as dialogues or collaborative stories, using formulaic expressions and modelled language

  Elaborations

  • creating and performing simple imaginative texts, using movement or drama to animate characters and to give expression to events in texts, for example, acting out scenes from a story, adopting the profile of a character, creating a dance to accompany songs
  • modifying texts such as songs, for example, by substituting words in a well-known song or tune
  • creating a new story such as a picture book using favourite characters from imaginative texts and adding captions using formulaic expressions and modelled language

  VCNRC024 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Creating

• VCNRC018

  Interact with peers and teacher to exchange personal information about everyday routines involving school and home environment

  Elaborations

  • asking and answering questions to exchange information about self and family
  • asking and sharing information about daily and classroom routines
  • using common responses for frequently asked comments or questions
  • exchanging simple correspondence such as notes, invitations or messages in print or digital form

  VCNRC018 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Socialising