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.
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.
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.
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...
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.
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’.
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.
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...
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.
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...
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.
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...
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.
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...
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 and numeral, count, order, add and share using small sets of objects. They create and continue simple patterns.
Students compare common objects with respect to length, mass and capacity, and order events and compare their duration. They make rough estimates and simple measurements with respect to informal units. Students name, sort and describe familiar everyday shapes and objects, and describe position and movement in their immediate environment.
Students investigate situations requiring data collection and presentation in simple displays, and recognise unpredictability and uncertainty in some events.
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.
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...
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 100 by partitioning and using place value. Students solve simple addition problems, and share into two equal groups or parts to model one-half.
Students use uniform informal units to measure and compare length and capacity. They tell time to the half-hour and use time and calendar terms such as hours, days, weeks and months to describe duration. Students use terms such as corner, edge and face to classify familiar shapes and objects, and are able to give and follow directions to familiar locations.
Students use one-to-one correspondences to display categorical data obtained from a simple investigation. They identify chance events in familiar contexts and use everyday language such as ‘will happen’, won’t happen’ or ‘might happen’ in relation to these.
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.
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...
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 the relationship between addition and subtraction, and use a variety of strategies to solve problems, including missing number problems. Students use groups and arrays to represent multiplication and division and solve simple problems, including finding halves, quarters and eighths of sets and shapes. They count and order by value, small collections of Australian coins and notes.
Students compare and order sets of shapes and objects based on length, area, volume and capacity using uniform informal units. They compare masses using balance scales, tell the time to the quarter hour, and use months and seasons to describe sequences of events over a longer time frame. Students describe sets of shapes and objects defined in terms of properties, and draw examples of these with and without the use of technology. They use simple maps and identify relative locations, and investigate the effect of simple transformations of slides, flips, half and quarter turns, both by hand and using technology.
Students use questions of interest to gather and display data for a single categorical variable and interpret it. They identify chance in a range of activities and describe related outcomes as ‘likely’ or ‘unlikely’.
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.