Skip to main content Skip to navigation

Mathematics

Filter
Filter
  1. A
  2. B
  3. C
  4. D  
  5. F
  6. 1
  7. 2

Level A (Towards Foundation)

Level A Description

In Level A, students experience and respond to personally relevant and familiar situations and events that regularly and routinely involve activities and actions such as comparing, adding and removing, distributing, placing and moving.

Level A Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Respond to objects being counted and distributed (VCMNA001)
    1. experiencing number names and number sequence in everyday experiences, for example birthdays, distributing equipment, collecting materials
    2. experiencing number and its use in stories, songs and rhythm, chosen for their interest and relevance to the student’s age
    3. attending to number and counting in daily routines, for example cups of flour in the bowl, number of times an action or event is repeated or experienced
    4. reacting to everyday situations where objects are counted, for example number of items on a plate or tray, steps to the door, eggs in the carton, bounces of a ball
    5. being supported as they touch, feel or move over objects as they are being counted
  2. Respond to situations where counting is involved (VCMNA002)
    1. experiencing to number name, numerals and quantities in everyday experiences
    2. experiencing activities that use number names, numerals and quantities, for example stories, songs, cooking, music
    3. attending to and being aware of number as objects are being counted
    4. reacting to objects moving, disappearing and re-appearing within the context of everyday situations
    5. responding to wanting more or less of an object
  3. Respond to groups of personally relevant objects (VCMNA003)
    1. experiencing objects and groups of objects, for example through sensory activities
    2. experiencing groups of objects of significantly different sizes
    3. reacting to collections within the context of everyday familiar situations, for example collections of favourite food, jewellery, utensils, or collections based on colour or texture
  4. Respond to situations where the comparison of two collections or objects is involved (VCMNA004)
    1. experiencing objects being collected and grouped together
    2. using objects which are personally relevant to create collections
    3. reacting to the comparison of everyday objects and collections of objects, for example using one-to-one correspondence to compare art equipment, cooking utensils, balls, sensory objects
  5. Respond to the removal and addition of familiar items and objects in practical situations (VCMNA005)
    1. experiencing changes in quantity that occur during addition and subtraction within everyday experiences
    2. attending to the adding and subtraction of familiar objects
    3. reacting to changes in a collection when objects are added or subtracted
  6. React to practical situations of sharing (VCMNA006)
    1. experiencing objects being distributed and assisting to distribute objects to others in everyday situations
    2. reacting to objects being shared and distributed
Money and financial mathematics Elaborations
  1. React to everyday financial situations involving money (VCMNA007)
    1. being supported to experience the sensory characteristics of coins and notes
    2. experiencing money being exchanged, counted and stored in various situations
Patterns and algebra Elaborations
  1. Respond to the identification of objects (VCMNA008)
    1. experiencing patterns and the sorting of objects in everyday situations, for example repeated rhythm, pattern on textured material or objects, sorting of materials and utensils
    2. becoming aware of ready-made visual, musical and multimodal patterns, for example, computer programs, stripes, dots, textures, sounds
  2. Respond to repeated routines in everyday events (VCMNA009)
    1. experience steps to solve a problem
    2. experience steps and sequences in everyday tasks
    3. respond to repetition and repeated experiences within everyday life

Measurement and Geometry

Using units of measurement Elaborations
  1. Respond to objects based on length (VCMMG010)
    1. experiencing objects of various lengths
    2. experiencing measurement attributes through the use of sensory input and objects
    3. reacting to various measurement attributes of familiar objects, and being introduced to the names of those attributes, in the context of everyday experiences
  2. Respond to personally relevant everyday events (VCMMG011)
    1. experiencing everyday events and their associated equipment and sensory elements
    2. reacting to changes in their environment associated with everyday events
    3. experiencing visuals being used to represent regular events
    4. reacting to objects and tools associated with routine everyday events
  3. Respond to personally relevant routine events (VCMMG012)
    1. experiencing events and their equipment, staff, and sensory elements
    2. experiencing events and their characteristics being represented by images or augmentative and alternative communication (AAC)
    3. reacting to routine events with the support of objects, sounds and textures
    4. reacting and responding to daily events within the context of a range of practical situations, for example reacting to the bell for lunch time, responding to the timer, staff or an image for maths
Shape Elaborations
  1. Respond to familiar everyday shapes and objects (VCMMG013)
    1. experiencing a variety of objects and their characteristics, and being introduced to the names of shapes through interaction with objects
    2. reacting to three-dimensional objects in everyday situations with the use of sensory input, for example touching, feeling, looking, shaking, rolling
    3. responding to objects and shapes as they are identified in the classroom and environment in everyday situations
Location and transformation Elaborations
  1. Respond to movement of an object (VCMMG014)
    1. experiencing movement and position within various environments and everyday events, for example exploring the concept of ‘inside and outside’ during structured activities
    2. experiencing the language used to name movement and changes in position during everyday experiences, such as up, down, over, under
    3. reacting to a variety of body positions and movements within the context of everyday activities
    4. using everyday language of location and position to assist students to react to changes to objects and their body, for example, ‘arms up’, ‘I am moving your bag’, ‘Where did it go?’
    5. reaching for or looking for a desired object by moving head or body for a better view

Statistics and Probability

Data representation and interpretation Elaborations
  1. Respond to objects relevant to a given context (VCMSP015)
    1. experiencing the collection, sorting and displaying of information and data, for example visual display of who is here today with photos of class members’ present
    2. associating objects with familiar events, within the context of practical situations, for example recognising connection between own bag and lunchtime, equipment for art, sport, or cooking and the associated activity
    3. experiencing the phenomena of chance by attending to activities and toys that demonstrate chance occurrences
  2. Respond to objects being moved and organised to make a data display (VCMSP016)
    1. experiencing people's choices being organised into a simple display
  3. Experience data display being interpreted (VCMSP017)

Level A Achievement Standard

Number and Algebra

Students observe the use of number within their daily life. They begin to respond to numbers in everyday experiences. Students demonstrate awareness of counting by responding to number rhymes, songs, stories and finger games. They experience and respond to ‘one for you, one for me’, ‘gone’, ‘no more left’ and ‘give me more’. Students participate in making piles, groups or bundles of familiar everyday objects and respond to objects being put together and taken apart.

Measurement and Geometry

Students observe and explore objects within daily life. They react and respond to objects and experience measurement attributes in practical situations. Students explore objects of varying weights, lengths, capacities and materials. They show an awareness of time and daily routine by responding to a signal from the teacher, and items being brought out or removed. Students respond to a signal from a timer, used to indicate the end of an activity. Students explore and respond to objects of varying textures, colours, sizes and shapes. Students explore space by moving and changing position and location, and respond to changes in position.

Statistics and Probability

Students observe objects and events within their daily life. Students begin to display a similar and predictable reaction to regular events. They respond to major changes to regular games and activities associated with chance, surprise and predictability, such as moving a switch to activate a toy.

Level B (Towards Foundation)

Level B Description

In Level B, students participate in everyday activities involving making simple correspondences between objects, and explore qualitative, quantitative and comparative concepts in action and language such as none, one, more, same, different, again and gather.

They recognise regularity in some events and that not all events are certain.

Level B Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Use number names ‘one’, ‘two’ and ‘three’ in sequence to count in everyday situations (VCMNA018)
    1. assisting to count objects initially to three, by participating in activities, stories, songs and rhymes that involve number. This could include nodding as objects are counted, tapping an object as it is counted, tracking objects being counted, repeating some number names as objects are being counted
    2. responding to number of names in everyday situations, for example waiting for counting down or up before starting an action, sound, activity; stepping, clapping, making a sound, tapping a switch for each number
    3. exploring and using some number names by ‘repeating’ number name either verbally or through a communication system or augmentative and alternative communication (AAC)
  2. Correspond ‘one’ with a single object (VCMNA019)
    1. showing understanding of object permanency, by tracking and finding an object
    2. 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
    3. distributing objects and materials with support, using basic one-to-one correspondence
  3. Explore the concept of ‘none’, ‘one’ and ‘more’ (VCMNA020)
    1. recognising a change in a collection’s size within the context of familiar, everyday objects, for example a group of cars, toys, lollies, fruit, vegetables, coins, books, materials or tools
    2. demonstrating an understanding of one by selecting, giving or taking one object
    3. responding to questions about group composition (for example ‘Which group has more?’ ‘Which group has none?’) verbally or by indicating through augmentative and alternative communication, actions or eye gaze
  4. Make comparison between items using appropriate language such as ‘same’ or ‘different’ (VCMNA021)
    1. comparing two collections using one to one correspondence within the context of everyday situations
    2. responding to questions about group comparison for example ‘Are they the same?’ ‘Or different?’ verbally or by indicating through augmentative and alternative communication, actions or eye gaze
  5. Participate in everyday situations involving ‘adding’ and ‘taking away’ (VCMNA022)
    1. combining two groups of objects to make ‘more’ within the context of familiar everyday situations
    2. participating in everyday situations that involve moving objects to make ‘less’ or ‘more’, for example dragging an object to or from a group, using a switch to initiate the action or augmentative and alternative communication to communicate the action required
  6. Respond to everyday practical situations of sharing (VCMNA023)
    1. responding to the prompt to “share” by giving an object to another
    2. assisting to hand out materials so everyone has the same materials
Money and financial mathematics Elaborations
  1. Respond to everyday financial situations involving money and match notes and coins (VCMNA024)
    1. matching coins or notes one to one which are 'the same'
Patterns and algebra Elaborations
  1. Participate in the comparison of objects, using language such as ‘same’ and ‘different’ (VCMNA025)
    1. recognising patterns through the concept of ‘same’ and ‘different’ objects within the context of everyday situations
    2. repeating rhythm patterns (with movement or sound)
    3. making simple patterns by stacking and lining up objects
    4. sorting everyday familiar objects during shared experiences, for example, when cooking, playing sport or playing with toys such as blocks
  2. Follow a simple cause and effect process (VCMNA026)
    1. following routine everyday visual steps to solve everyday problem
    2. explore cause and effects through play

Measurement and Geometry

Using units of measurement Elaborations
  1. Compare objects using direct comparison (VCMMG027)
    1. exploring objects in structured situations based on length
    2. matching objects that are from a small field and identical in length
    3. showing recognition or preference for an object based on its mass, capacity or length within a range of situations
  2. Recognise and participate in familiar events that happen on a daily basis (VCMMG028)
    1. recognising the sequence of familiar events, for example ‘first and then’, with the support of picture-based schedules
    2. understanding and using environmental cues such as equipment, staff and location to predict and identify activities
    3. assisting in the construction of visual timetable for the class
    4. responding to the signal from a timer to indicate the end of an activity
  3. Participate in regular daily events (VCMMG029)
    1. developing an awareness of regular events and routines, with the support of daily and weekly visual schedules
    2. recognising and following the routines at the start and end of the day
Shape Elaborations
  1. Identify when two shapes or objects are the same sort or not (VCMMG030)
    1. using ‘posting’ of items into different containers or holes to manipulate and sort shapes and objects
    2. recognising three dimensional objects when identified in the environment using everyday situations
    3. matching everyday objects that are ‘the same’
    4. exploring shapes by using ‘play dough’ and other malleable materials to make shapes
    5. developing an awareness of the language used to describe shapes
Location and transformation Elaborations
  1. Respond to a simple statement about location or direction (VCMMG031)
    1. following directional communication used in daily routine, for example, ‘put in’ to finish an activity, ‘sit down’, ‘stand up’ during an activity or program
    2. following everyday language of location and direction through modelled daily routines, for example: looking upwards for ‘up’; using rhymes and chants that relate to movement; following a warm-up sequence for work or sport; unpacking their bag; washing their hands and setting up for lunch
    3. exploring the concept of ‘inside’ and ‘outside’ during activities by putting objects ‘in’ and ‘out’ of a container and following routines and instructions that involve moving inside and outside locations

Statistics and Probability

Data representation and interpretation Elaborations
  1. Participate in data collection (VCMSP032)
    1. following the construction of data display, for example picture representations of student choices, presented as class display of hair colour, favourite colour, song, movie, character
    2. assisting to identify pictures that represent daily routines and events in a data display
    3. choosing pictures or objects to put in a data display
  2. Participate in the grouping of data (VCMSP033)
    1. answering a yes/no question and assisting to place their response in a data display
    2. experiencing the representation of everyday situations and choices in simple date displays
    3. match a response to a given category
  3. Experiencing data being used for decision making in everyday situations (VCMSP034)
    1. experiencing data being totalled and read
    2. experiencing data being used to identify the most popular choice and to make decisions on choices such as the type of transport they will use, animals they will visit first at the zoo, what book the class will read

Level B Achievement Standard

Number and Algebra

Students participate in everyday activities that involve numbers and counting, comparing groups of objects, and pattern activities. Students can rote count to three. Students identify ‘one’ and ‘lots’ of objects and show an understanding of ‘more’ in familiar situations. They manipulate objects and build a tall tower by using ‘more’ blocks and take blocks away from a tower to make the tower ‘less’ tall.

Measurement and Geometry

Students participate in everyday activities that explore measurement and use measurement attributes in practical situations. Students demonstrate beginning understanding of basic measurement concepts such as ‘long or short’, ‘heavy or light’. They explore routine events and show an awareness of time and daily routines by responding to a routine signal from the teacher. They demonstrate an awareness of object permanence by searching for objects that have been hidden and participate in class activities that explore three-dimensional objects. They can match identical familiar three-dimensional shapes that are ‘the same’. Students respond to specific instructions relating to manipulating the movement and location of self and objects.

Statistics and Probability

Students participate in class activities that explore object, events and displaying information. They develop an awareness of chance by playing with materials or objects that involve cause and effect (actions that will happen) and playing games where the outcome is unpredictable. Students respond to a simple pictorial representation of their activities related to a short time-frame.

Level C (Towards Foundation)

Level C Description

In Level C, students demonstrate awareness in practical situations, connecting objects, numbers names and numerals from one to three, using ‘one more than’ and ‘one less than’.

They match like objects, describe differences between objects for given attribute, show familiarity with stages of time and events within a day using visual schedules, visually locate named objects in a familiar environment and identify some data relevant to a situation.

Level C Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Use number names in sequence to count in everyday situations, initially from one to five (VCMNA035)
    1. developing fluency in forward counting to five using words, sign or augmentative and alternative communication (AAC) in meaningful contexts, including everyday experiences and stories
    2. knowing that the forward sequence of counting words occurs in the same order, for example always communicating numbers in the same sequence, indicating when another person uses number names in the wrong sequence
    3. developing one-to-one correspondence by recognising that each object is counted, by indicating an object during counting situations, for example, indicating by pointing, activating a switch or eye gaze
  2. Know and match number name, numerals and quantities to three (VCMNA036)
    1. developing one-to-one matching of number word or its representation through sign or alternative and augmentative communication (AAC) to objects initially up to three
    2. recognising that numerals look different from non-numeral shapes
    3. using structured situations to count and match groups of objects to a numeral, initially up to 3
  3. Identify groups as being ‘one’, ‘more’ or ‘less’ (VCMNA037)
    1. indicating the larger of two groups when presented with groups of significantly different number sets, for example group of paints, lollies, tools, dots, blocks, counters
  4. Compare and order two collections according to their quantity (VCMNA038)
    1. comparing and ordering items using appropriate language of ‘more’, ‘less’, ‘same’
    2. using everyday situations of one-to-one correspondence to compare two collections of significantly different amounts
    3. using practical situations to indicate ‘more’, ‘less’ or ‘same’
  5. Demonstrate in practical situations, ‘adding one more to’ and ‘taking one away from’ in everyday situations (VCMNA039)
    1. using shared experiences with concrete materials to add one more to or take away one from a group of objects, and count to find a total
      • experiencing addition and subtraction in games
    2. communicating using language such as ‘more’ or ‘less’ to describe a change in a group using classroom resources and in practical situations
  6. Sharing materials in practical situations (VCMNA040)
    1. using one to one correspondence to distribute materials evenly
    2. exploring the distribution of a group of concrete materials into different numbers of groups
Money and financial mathematics Elaborations
  1. Use direct comparison to sort coins or notes into groups (VCMNA041)
    1. identify and group notes or coins that are ‘the same’
    2. group coins based on a set criteria, for example size, colour, shape, coins, notes
Patterns and algebra Elaborations
  1. Pair identical objects from a small collection, and recognise simple repeated patterns (VCMNA042)
    1. copying a simple repeated pattern using one-to-one correspondence with objects
    2. copying a pattern associated with a familiar activity, for example repeating movement pattern
    3. using a single given attribute (for example, size, colour, texture, shape) to group objects
    4. matching, sorting and organising objects in practical situations
  2. Identify repeated routines and sequences in everyday events (VCMNA043)
    1. follow and assist to represent a sequence of steps
    2. follow a simple decision (algorithm) to solve a everyday problem
    3. participate in a cause and effects activities, games and events

Measurement and Geometry

Using units of measurement Elaborations
  1. Compare two objects based on measurement attributes of length (VCMMG044)
    1. comparing and matching objects based on their having the ‘same’ or ‘different’ length, for example pencils, shoes or food items that are the same length
    2. recognising length in shared experiences by comparing objects directly and indicating differences between objects
    3. using measurement language such as long or short to communicate significant differences between objects
  2. Identify familiar events that occur at different stages of a day (morning, afternoon, evening, night) (VCMMG045)
    1. sorting images or symbols according to whether they occur during the day or the night
    2. using visual schedules to complete activities within an event and events within the day, and manage time throughout the day
    3. interpreting language, images and communication associated with day such as morning, afternoon, and night
    4. indicating an event as long or short
    5. recognising and responding to daily routines by selecting an image from a schedule to indicate an activity has finished or is about to begin
  3. Identify the familiar events within the day using a visual schedule (VCMMG046)
    1. identifying daily events through materials, visuals and objects provided
    2. identifying daily events with the assistance of visual or tactile schedules and timetables
    3. identifying events that may or may not happen today
Shape Elaborations
  1. Match familiar two dimensional shapes and three dimensional objects (VCMMG047)
    1. matching simple three dimensional shapes with similar attributes, for example, different-sized spheres
      • matching simple two dimensional shapes with similar attributes, for example, different-sized spheres
    2. recognising the relationship between familiar shapes using insert puzzles
Location and transformation Elaborations
  1. Locate familiar three-dimensional objects in the classroom when they are named (VCMMG048)
    1. interpreting everyday language of location by following simple directions and communication, for example, move or track an object, feel or follow a path
    2. locating familiar environments and objects, for example, classroom, hall, desk

Statistics and Probability

Data representation and interpretation Elaborations
  1. Identify data relevant to a given context (VCMSP049)
    1. assisting to collect information to answer a question, for example, what colours are the counters in the box
    2. following simple instructions to sort objects for a data display
  2. Follow simple instructions to sort objects into a simple data display (VCMSP050)
    1. making and collecting people’s choices and assisting to collate these in a data display based on set options
    2. match responses to establish groups to assist in collating data
  3. Identify the choices/responses of a data display (VCMSP051)
    1. indicate their eye colour from a display, indicate who is here or not here

Level C Achievement Standard

Number and Algebra

Students connect number names and numerals with sets of up to five elements. They match individual objects with counting sequences up to and back from five. Students use concrete materials to solve problems that involve comparing, combining and separating sets. Students make ‘groups’, ‘lots’ and groups of ‘one’ and can indicate which collection has ‘more’ than the other. They can distribute objects to each person in a group until there are no objects left. Students order the first three elements of a set. Students can match one attribute of familiar objects.

Measurement and Geometry

Students explore measurement attributes in practical situations and use words to describe the characteristics of familiar objects. Students solve simple mathematical problems associated with longer and shorter lengths. They explore events and identify day and night events. They can identify events that may or may not happen today. Students respond to a simple pictorial representation of activities related to their whole day. They match objects that are the same and sort familiar objects, and an understanding of the concept of ‘inside and outside’ by following instructions. They demonstrate an understanding of location and spatial awareness by following simple instructions related to simple spatial concepts.

Statistics and Probability

Students participate in and contribute to the development of picture schedules, timetables and pictorial lists associated with familiar activities, such as listing the ingredients needed for a cooking session. They demonstrate an understanding of the concept of chance by participating in games of chance, and identifying events that may or may not happen today.

Level D (Towards Foundation)

Level D Description

In Level D, students actively use concrete models to represent number in various situations, and use number names when comparing, counting, ordering, adding to or taking away from sets of one to five objects.

They form the initial terms of basic patterns and identify and sequence regular daily events, make simple qualitative measurement comparisons, match objects with their pictorial representations, and name them.

Students follow instructions to place and find objects in various locations and they recognise that similar events or activities may have different outcomes at different times.

Level D Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Use number names in sequence to count in everyday situations, initially from one to ten (VCMNA052)
    1. developing fluency with forward counting by communicating number names while counting, initially to 10 and in meaningful contexts such as cooking, collecting equipment, stories and games
    2. understanding one-to-one correspondence by knowing that each object is counted only once, by tracking an object while counting in shared and structured counting experiences, for example moving objects once counted, counting objects left to right
  2. Recognise number name, numerals and quantities, initially up to five and beyond (VCMNA053)
    1. responding to key vocabulary and questions about ‘how many’
    2. using one-to-one matching of number words, sign or augmentative and alternative communication (AAC) representation for objects to five
    3. matching numerals to the correct number of items initially to five using number games, software, cards and everyday situations
  3. Subitise regular arrangements of objects and arrays up to five (VCMNA054)
    1. understanding that some numbers are represented by a set pattern or array
  4. Compare, order and make comparisons between two collections, according to their quantity, using numbers initially to five (VCMNA055)
    1. comparing and ordering collections using the appropriate language and number name
    2. comparing and communicating about characteristics of groups, for example sequencing objects in a group from smallest to largest; indicating the larger/smaller group through gesture, verbally or augmentative and alternative communication (AAC)
  5. Model practical situations involving ‘adding to’ or ‘taking away’ with collections of up to five objects (VCMNA056)
    1. using shared experiences with concrete materials to combine two groups of objects, and count to find a total
    2. counting on or back from a group using concrete materials, for example adding/ subtracting balls in a basket, pens in a container, tools in a tool box
    3. using a calculator or digital device to undertake simple addition and subtraction
    4. exploring the concept of adding one and taking away one
  6. Sharing material in practical situations so everyone has the same amount (VCMNA057)
    1. using one to one correspondence to share materials equally
    2. exploring stories and everyday situations which require sharing and the distributing of materials
Money and financial mathematics Elaborations
  1. Using money in everyday financial situations and matching coins to two dimensional images (VCMNA058)
    1. matching coins to 2D images
    2. using money to pay for goods and services in the community
Patterns and algebra Elaborations
  1. Sort like objects based on a given classification, and identify and continue a simple repeated pattern with its next element (VCMNA059)
    1. continuing a simple repeated two-part pattern with given objects, movements or sounds, for example, red, blue, red (set the table with drinking cups), paper, glue (set up equipment), knife and fork (set a table using two implements)
    2. making patterns and collections based on objects being the same, different and alike
    3. examining and continuing a simple repeated pattern with given objects, movements or sounds, for example, continue a two-beaded pattern (red, blue, red, blue)
    4. sorting and grouping objects and communicating attributes such as texture, colour, size, category; for example, sort papers into two colours, sort cutlery into two groups
    5. recognising patterns in familiar environments
  2. Follow a sequence of steps (VCMNA060)
    1. using sequence steps to complete an activity
    2. representing a sequence of steps using visuals
    3. identify options and following steps through everyday situations and events
    4. participate in a variety of chance games and experiences

Measurement and Geometry

Using units of measurement Elaborations
  1. Respond to contexts involving ‘heavier/lighter’ than and ‘holds more/less’ than (VCMMG061)
    1. using measurement language such as longer and shorter, or heavier and lighter, to communicate differences between objects
    2. using direct comparison to compare objects based on their length, mass or volume
  2. Identify and sequence regular events that occur during the school day and comment on their duration (short/long) (VCMMG062)
    1. creating and following a visual schedule based on the school day’s events
    2. ordering events based on duration, for example, ‘I can do more at lunch time than recess’
    3. comparing and labelling events as long, short, quick
    4. understanding the purpose of a clock and some of its features
    5. using timers and a clock to explore and compare time and duration of events
  3. Identify the days of the week in sequence (VCMMG063)
    1. using picture schedules to identify key events of a day and a week
    2. using everyday language ‘sometimes’, ‘always’ and never to indicate the likelihood of an event on a day or week
    3. using ‘morning routine’ to identify the days and what will occur during the day
    4. communicating the days of the week
Shape Elaborations
  1. Use direct comparison to sort three dimensional objects and two dimensional shapes (VCMMG064)
    1. sorting shapes that are the ‘same’ or ‘different’
    2. identifying, matching and sorting simple familiar two and three dimensional objects according to a single attribute
    3. identifying familiar shapes hidden in a picture
    4. investigating the inside and outside shape of an object
    5. understanding the relationship between shape and template, for example, insert puzzle, inserting a shape in a matching shaped hole
Location and transformation Elaborations
  1. Follow simple directional words to locate or move an object ‘on’, ‘in’ or ‘under’ (VCMMG065)
    1. following multiple positional directions during everyday situations, for example, chants, songs or rhymes with repeated actions, completing an art, cooking or drawing activity, locating a tool or completing a job
    2. developing consistency and fluency in communicating and interpreting directional and positional words
    3. using everyday location language to explain where an object is

Statistics and Probability

Data representation and interpretation Elaborations
  1. Answer simple yes/no questions about data that has been gathered in a given context (VCMSP066)
    1. following and constructing a data display such as routine schedule or daily timetable
    2. collecting and displaying data in a personally meaningful way
  2. Collect and display data in response to a question using materials (VCMSP067)
    1. representing responses to everyday situations with everyday objects into data displays
    2. collate responses to a question into groups
    3. match responses which are the same to assist in data collation
  3. Identify what the data display is representing and answer questions using yes/no responses (VCMSP068)
    1. identifying which response is the largest
    2. identify which response has the least

Level D Achievement Standard

Number and Algebra

Students connect number names and numerals with sets of up to 10 elements. They match individual objects with counting sequences up to and back from 10. They recognise and point to numerals in and around the classroom, for example, numbers on a clock face. Students use concrete materials to solve problems that involve comparing, combining and separating sets. They can indicate when groups of less than 10 objects are the same or different in number and that two collections have the ‘same’ quantity by matching items one to one. They can find the first and last object in a sequence and place objects into sets to make ‘more’ and take objects from a group to make ‘less’. Students order the first five elements of a set. They sort objects and shapes based on a given attribute and create simple repeating patterns of two elements or more by copying a pattern.

Measurement and Geometry

Students explore measurement attributes in practical situations and identify and describe the basic characteristics of a range of objects. They can identify regular events within the school week. They can follow a class pictorial schedule and mark off each passing day on a calendar. Students demonstrate an understanding of two- and three-dimensional shapes by matching basic geometric objects to pictures of that object, identifying basic three-dimensional shapes in the classroom and sorting shapes into like groups. Students show an understanding of ‘location’ and spatial concepts by responding to instructions to position items.

Statistics and Probability

Students explore events and follow a simple picture schedule, and use these to answer simple ‘yes’ or ‘no’ questions. They play a variety of chance games such as bingo or snakes and ladders and demonstrate an understanding that they will not always win.

Foundation Level

Foundation Level Description

In Foundation level, students play with objects and draw pictures to develop links between their immediate environment, everyday language and mathematical activity.

Students classify and sort objects into sets and form simple correspondences between them. They decide when two sets are of equal size, or one is smaller or bigger than another. They develop an understanding of the concepts of number...

Show more

Foundation Level Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (VCMNA069)
    1. reading stories from other cultures featuring counting in sequence to assist students to recognise ways of counting in local languages and across cultures
    2. identifying the number words in sequence, backwards and forwards, and reasoning with the number sequences, establishing the language on which subsequent counting experiences can be built
    3. developing fluency with forwards and backwards counting in meaningful contexts, including stories and rhymes
    4. understanding that numbers are said in a particular order and there are patterns in the way we say them
  2. Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (VCMNA070)
    1. understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the ‘how many’ question
    2. using scenarios to help students recognise that other cultures count in a variety of ways, such as by placing one pebble in a bag to represent one object. For example to count the number of cattle
  3. Subitise small collections of objects (VCMNA071)
    1. using subitising as the basis for ordering and comparing collections of numbers
  4. Compare, order and make correspondences between collections, initially to 20, and explain reasoning (VCMNA072)
    1. 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
    2. understanding and using terms such as ‘first’ and ‘second’ to indicate ordinal position in a sequence.
    3. using objects which are personally and culturally relevant to students
  5. Represent practical situations to model addition and subtraction (VCMNA073)
    1. using a range of practical strategies for adding and subtracting small groups of numbers, such as visual displays or concrete materials
    2. using Aboriginal and Torres Strait Islander methods of adding and subtracting, including spatial patterns and reasoning
  6. Represent practical situations to model sharing (VCMNA074)
    1. using a range of practical strategies for sharing small groups of numbers, such as visual displays or concrete materials
    2. using verbal action stories to model situations that involve sharing
Money and financial mathematics Elaborations
  1. Represent simple, everyday financial situations involving money (VCMNA075)
    1. using toy money to pay for goods in play situations
Patterns and algebra Elaborations
  1. Sort and classify familiar objects and explain the basis for these classifications, and copy, continue and create patterns with objects and drawings (VCMNA076)
    1. observing natural patterns in the world around us
    2. creating and describing patterns using materials, sounds, movements or drawings
    3. extending patterns using materials and drawings to the right and to the left
    4. identifying which part of the pattern is being repeated (happening over and over again)
  2. Follow a short sequence of instructions (VCMNA077)
    1. carrying out a specified sequence of actions to move an object from one location to another
    2. playing a simple rule-based game moving a specified number of places according to the result on a die in a chance-based game

Measurement and Geometry

Using units of measurement Elaborations
  1. Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday language (VCMMG078)
    1. comparing objects directly, by placing one object against another to determine which is longer or by pouring from one container into the other to see which one holds more
    2. using suitable language associated with measurement attributes, such as ‘tall’ and ‘taller’, ‘heavy’ and ‘heavier’, ‘holds more’ and ‘holds less’
  2. Compare and order the duration of events using the everyday language of time (VCMMG079)
    1. knowing and identifying the days of the week and linking specific days to familiar events
    2. sequencing familiar events in time order
  3. Connect days of the week to familiar events and actions (VCMMG080)
    1. choosing events and actions that make connections with students’ everyday family routines
Shape Elaborations
  1. Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment (VCMMG081)
    1. sorting and describing squares, circles, triangles, rectangles, spheres and cubes
Location and transformation Elaborations
  1. Describe position and movement (VCMMG082)
    1. interpreting the everyday language of location and direction, such as ‘between’, ‘near’, ‘next to’, ‘forwards’, ‘towards’
    2. following and giving simple directions to guide a friend around an obstacle path and vice versa

Statistics and Probability

Data representation and interpretation Elaborations
  1. Answer yes/no questions to collect information (VCMSP083)
    1. posing questions about themselves and familiar objects and events, for example, 'Do you have any pets?'
    2. answering questions that have exactly two mutually exclusive possible responses
  2. Organise answers to yes/no questions into simple data displays using objects and drawings (VCMSP084)
    1. representing responses to questions using simple displays, including grouping students according to their answers
  3. Interpret simple data displays about yes/no questions (VCMSP085)
    1. using data displays to answer simple questions such as ‘how many students answered “yes” to having pets?’

Foundation Level Achievement Standard

Number and Algebra

Students connect number names and numerals with sets of up to 20 elements, estimate the size of these sets, and use counting strategies to solve problems that involve comparing, combining and separating these sets. They match individual objects with counting sequences up to and back from 20. Students order the first 10 elements of a set. They represent, continue and create simple patterns.

Measurement and Geometry

Students identify measurement attributes in practical situations and compare lengths, masses and capacities of familiar objects. They order events, explain their duration, and match days of the week to familiar events. Students identify simple shapes in their environment and sort shapes by their common and distinctive features. They use simple statements and gestures to describe location.

Statistics and Probability

Students sort familiar categorical data into sets and use these to answer yes/no questions and make simple true/false statements about the data.

Level 1

Level 1 Description

In Level 1, students use mathematical symbols and language as well as materials and drawings in their mathematical explorations of daily life.

Students recognise, represent and order numbers to at least 100 using materials, diagrams, words, numerals and a number line, and apply this with respect to the value of Australian coins. They group and skip count by twos, fives and tens, and count to...

Show more

Level 1 Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero (VCMNA086)
    1. using the popular Korean counting game sam-yuk-gu for skip counting
    2. developing fluency with forwards and backwards counting in meaningful contexts such as circle games
  2. Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line (VCMNA087)
    1. modelling numbers with a range of material and images
    2. identifying numbers that are represented on a number line and placing numbers on a prepared number line
  3. Count collections to 100 by partitioning numbers using place value (VCMNA088)
    1. understanding partitioning of numbers and the importance of grouping in tens
    2. understanding two-digit numbers as being comprised of tens and ones/units
  4. Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (VCMNA089)
    1. developing a range of mental strategies for addition and subtraction problems
  5. Represent practical situations that model sharing (VCMNA090)
    1. sharing a set of objects, such as a packet of sweets, equally between a small group of people using one-to-one correspondence
    2. recognising whether there is a remainder or not after sharing equally
Fractions and decimals Elaborations
  1. Recognise and describe one-half as one of two equal parts of a whole (VCMNA091)
    1. sharing a collection of readily available materials into two equal portions
    2. splitting an object into two equal pieces and describing how the pieces are equal
Money and financial mathematics Elaborations
  1. Recognise, describe and order Australian coins according to their value (VCMNA092)
    1. showing that coins are different in other countries by comparing Asian coins to Australian coins
    2. understanding that the value of Australian coins is not related to size
    3. describing the features of coins that make it possible to identify them
Patterns and algebra Elaborations
  1. Investigate and describe number patterns formed by skip counting and patterns with objects (VCMNA093)
    1. using place-value patterns beyond the teens to generalise the number sequence and predict the next number
    2. investigating patterns in the number system, such as the occurrence of a particular digit in the numbers to 100
  2. Recognise the importance of repetition of a process in solving problems (VCMNA094)
    1. using one-to-one correspondence to determine which of two sets is larger, or if they are of equal size
    2. dividing a set of blocks in a simple ratio such as ‘2 for me’, ‘1 for you’

Measurement and Geometry

Using units of measurement Elaborations
  1. Measure and compare the lengths, masses and capacities of pairs of objects using uniform informal units (VCMMG095)
    1. understanding that in order to compare objects, the unit of measurement must be the same size
    2. lifting to compare the mass of objects using words, for example, heavier, lighter, same
    3. measuring the capacity of containers using uniform material, for example cups or buckets
  2. Tell time to the half-hour (VCMMG096)
    1. reading time on analogue and digital clocks and observing the characteristics of half-hour times
  3. Describe duration using months, weeks, days and hours (VCMMG097)
    1. describing the duration of familiar situations such as ‘how long is it until we next come to school?’
Shape Elaborations
  1. Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features (VCMMG098)
    1. focusing on geometric features and describing shapes and objects using everyday words such as 'corners', 'edges' and 'faces'
Location and transformation Elaborations
  1. Give and follow directions to familiar locations (VCMMG099)
    1. understanding that people need to give and follow directions to and from a place, and that this involves turns, direction and distance
    2. understanding the meaning and importance of words such as ‘clockwise’, ‘anticlockwise’, ‘forward’ and ‘under’ when giving and following directions
    3. interpreting and following directions around familiar locations

Statistics and Probability

Chance Elaborations
  1. Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’ (VCMSP100)
    1. justifying that some events are certain or impossible
Data representation and interpretation Elaborations
  1. Choose simple questions and gather responses (VCMSP101)
    1. determining which questions will gather appropriate responses for a simple investigation
  2. Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays (VCMSP102)
    1. understanding one-to-one correspondence
    2. describing displays by identifying categories with the greatest or least number of objects

Level 1 Achievement Standard

Number and Algebra

Students count to and from 100 and locate these numbers on a number line. They partition numbers using place value and carry out simple additions and subtractions, using counting strategies. Students recognise Australian coins according to their value. They identify representations of one half. Students describe number sequences resulting from skip counting by 2s, 5s and 10s. They continue simple patterns involving numbers and objects with and without the use of digital technology.

Measurement and Geometry

Students use informal units of measurement to order objects based on length, mass and capacity. They tell time to the half-hour and explain time durations. Students describe two-dimensional shapes and three-dimensional objects. They use the language of distance and direction to move from place to place.

Statistics and Probability

Students describe data displays. They ask questions to collect data and draw simple data displays. Students classify outcomes of simple familiar events.

Level 2

Level 2 Description

In Level 2, students use grouping partitioning and re-arrangement to apply place value and extend the range of numbers they use and apply to thousands.

Students recognise, model and order numbers to at least 1000 and use a variety of strategies to count efficiently, including skip counting forwards and backwards by twos threes, fives and tens, with and without the use of technology. They explore...

Show more

Level 2 Content Descriptions

Number and Algebra

Number and place value Elaborations
  1. Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences (VCMNA103)
    1. developing fluency and confidence with numbers and calculations by saying number sequences
    2. recognising that the natural numbers with zero form an ordered infinite set {0, 1, 2, 3 … } with a first element but no last element
    3. recognising patterns in number sequences, such as adding 10 always results in the same final digit
  2. Recognise, model, represent and order numbers to at least 1000 (VCMNA104)
    1. recognising there are different ways of representing numbers and identifying patterns going beyond 100
    2. developing fluency with writing numbers in meaningful contexts
  3. Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting (VCMNA105)
    1. using an abacus to model and represent numbers
    2. understanding three-digit numbers as comprised of hundreds, tens and ones/units
    3. demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning
  4. Explore the connection between addition and subtraction (VCMNA106)
    1. becoming fluent with partitioning numbers to understand the connection between addition and subtraction
    2. using counting on to identify the missing element in an additive problem
  5. Solve simple addition and subtraction problems using a range of efficient mental and written strategies (VCMNA107)
    1. becoming fluent with a range of mental strategies for addition and subtraction problems, such as commutativity for addition, building to 10, doubles, 10 facts and adding 10
    2. modelling and representing simple additive situations using materials such as 10 frames, 20 frames and empty number lines
  6. Recognise and represent multiplication as repeated addition, groups and arrays (VCMNA108)
    1. representing array problems with available materials and explaining reasoning
    2. visualising a group of objects as a unit and using this to calculate the number of objects in several identical groups
  7. Recognise and represent division as grouping into equal sets and solve simple problems using these representations (VCMNA109)
    1. dividing the class or a collection of objects into equal-sized groups
    2. identifying the difference between dividing a set of objects into three equal groups (partition) and dividing the same set of objects into groups of three (quotition)
Fractions and decimals Elaborations
  1. Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (VCMNA110)
    1. recognising that sets of objects can be partitioned in different ways to demonstrate fractions
    2. relating the number of parts to the size of a fraction
Money and financial mathematics Elaborations
  1. Count and order small collections of Australian coins and notes according to their value (VCMNA111)
    1. identifying equivalent values in collections of coins or notes, such as two five-cent coins having the same value as one 10-cent coin
    2. counting collections of coins or notes to make up a particular value, such as that shown on a price tag
Patterns and algebra Elaborations
  1. Describe patterns with numbers and identify missing elements (VCMNA112)
    1. describing a pattern created by skip counting and representing the pattern on a number line
    2. investigating features of number patterns resulting from adding twos, fives or 10s
  2. Solve problems by using number sentences for addition or subtraction (VCMNA113)
    1. representing a word problem as a number sentence
    2. writing a word problem to represent a number sentence
  3. Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction (VCMNA114)
    1. using technology to construct a sequence of numbers based on constant addition or subtraction from a given starting value
    2. sharing a set of objects equally between a small number of groups

Measurement and Geometry

Using units of measurement Elaborations
  1. Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units (VCMMG115)
    1. comparing lengths using finger length, hand span or a piece of string
    2. comparing areas using the palm of the hand or a stone
    3. comparing capacities using a range of containers
  2. Compare masses of objects using balance scales (VCMMG116)
    1. using balance scales to determine whether the mass of different objects is more, less or about the same
  3. Tell time to the quarter-hour, using the language of 'past' and 'to' (VCMMG117)
    1. describing the characteristics of quarter-past times on an analogue clock, and identifying that the small hand is pointing just past the number and the big hand is pointing to the three
  4. Name and order months and seasons (VCMMG118)
    1. investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.
  5. Use a calendar to identify the date and determine the number of days in each month (VCMMG119)
    1. using calendars to locate specific information, such as finding a given date on a calendar and saying what day it is, and identifying personally or culturally specific days
Shape Elaborations
  1. Describe and draw two-dimensional shapes, with and without digital technologies (VCMMG120)
    1. identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners
  2. Describe the features of three-dimensional objects (VCMMG121)
    1. identifying geometric features such as the number of faces, corners or edges
Location and transformation Elaborations
  1. Interpret simple maps of familiar locations and identify the relative positions of key features (VCMMG122)
    1. understanding that we use representations of objects and their positions, such as on maps, to allow us to receive and give directions and to describe place
    2. constructing arrangements of objects from a set of directions
  2. Investigate the effect of one-step slides and flips with and without digital technologies (VCMMG123)
    1. understanding that objects can be moved but changing position does not alter an object’s size or features
  3. Identify and describe half and quarter turns (VCMMG124)
    1. predicting and reproducing a pattern based around half and quarter turns of a shape and sketching the next element in the pattern

Statistics and Probability

Chance Elaborations
  1. Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ (VCMSP125)
    1. classifying a list of everyday events according to how likely they are to happen, using the language of chance, and explaining reasoning
Data representation and interpretation Elaborations
  1. Identify a question of interest based on one categorical variable. Gather data relevant to the question (VCMSP126)
    1. determining the variety of birdlife in the playground and using a prepared table to record observations
  2. Collect, check and classify data (VCMSP127)
    1. recognising the usefulness of tally marks
    2. identifying categories of data and using them to sort data
  3. Create displays of data using lists, table and picture graphs and interpret them (VCMSP128)
    1. creating picture graphs to represent data using one-to-one correspondence
    2. comparing the usefulness of different data displays

Level 2 Achievement Standard

Number and Algebra

Students count to and from, and order numbers up to 1000. They perform simple addition and subtraction calculations, using a range of strategies. They find the total value of simple collections of Australian notes and coins. Students represent multiplication and division by grouping into sets and divide collections and shapes into halves, quarters and eighths. They recognise increasing and decreasing number sequences involving 2s, 3s, 5s and 10s, identify the missing element in a number sequence, and use digital technology to produce sequences by constant addition.

Measurement and Geometry

Students order shapes and objects, using informal units for a range of measures. They tell time to the quarter hour and use a calendar to identify the date, days, weeks and months included in seasons and other events. Students draw two-dimensional shapes, specify their features and explain the effects of one-step transformations. They recognise the features of three-dimensional objects. They interpret simple maps of familiar locations.

Statistics and Probability

Students collect data from relevant questions to create lists, tables and picture graphs with and without the use of digital technology. They interpret data in context. Students use everyday language to describe outcomes of familiar events.

Scroll to the top of the page