reads and represents numbers in a range 0 to 20 MAe-4NA language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point (ACMNA001) Identifies the number before and after a given number to 10 Identifies the number before and after a given number to 10 Identifies the number before and after a given number to 20 Identifies the number before and after a given number to 40 Identifies the number before and after a given number to 100 Counts backward from a given number in the range 0-10 Counts backwards from a given number in the range 0-10 Counts backwards from a given number in the range 0-20 Counts backwards from a given number in the range 0-50 Counts backwards from a given number in the range 0-100 Reads and uses ordinal names to at least 5 Reads and uses ordinal names to at least 10 eg. 10th with teacher assistance Reads and uses ordinal names to at least 10 eg. 10th Reads and uses ordinal names to at least 20 eg. 20th Reads and uses ordinal names to at least 100 eg. 100th Connect number names, numerals and quantities, including zero , initially up to 10 and then beyond Reads numbers to 10 with teacher assistance Reads numbers to 10 independently Reads numbers to 20 Reads numbers to 50 Reads numbers beyond 50 Counts and checks groups of objects to 10 with teacher assistance Counts and checks groups of objects to 10 Counts and checks groups of objects to 20 Counts and checks groups of objects to 50 Counts and checks groups of objects to 100 Subtise small collections o)f objects (ACMNA003 Beginning to recognise dice and domino dot patterns with teacher assistance Instant recognition of dice and domino dot patterns Instant recognition of dice and domino dot patterns N/A N/A Beginning to recognise different arrangements for the same number with teacher assistance Recognition of some different arrangements for the same number Instant recognition of different arrangements for the same number N/A N/A Compare, order and Counts with one-to-one correspondence to 5 Counts, orders and compares groups of Counts, orders and compares groups of Counts, orders and compares groups of Counts, orders and compares groups of
make between collections, initially to 20, and explain reasoning with teacher assistance objects using correspondence with teacher assistance to 10 objects using correspondence to 20 objects using correspondence to 50 objects using correspondence to 100 Use the language of money Beginning to use the language of money or recognise different coins and notes with teacher assistance Uses the language of money and recognises some different coins and notes Uses the language of money and can recognise different coins and notes, cents and dollars Knows the value of of Australian coins eg 5c, 10c, 20c, 50c, $1, $2 Makes combinations of coins and notes to a given value eg 2 X 5c = 10C Addition and Subtraction Outcomes Content descriptor Limited Basic Sound High Outstanding Combines, separates and compares collections of objects, describes using everyday language, records using informal methods Represent practical situations to model addition and sharing (ACMN004) Combines two or more groups to model addition to 5 with teacher assistance Combines two or more groups to model addition to 10 with teacher assistance Combines two or more groups to model addition to 10 Combines two or more groups to model addition to 20 Combines two or more groups to model addition beyond 20 Take parts of a group away to model subtraction to 5 with teacher assistance Take parts of a group away to model subtraction to 10 with teacher assistance Take parts of a group away to model subtraction to 10 Take parts of a group away to model subtraction to 20 Take parts of a group away to model subtraction beyond 20 one one
Fractions and Decimals Outcomes Content descriptor Limited Basic Sound High Outstanding Describes two equal parts as halves MAe-7NA Establish the concept of one-half Beginning to divide and an object into two equal parts with teacher assistance Divides an object into two equal parts with teacher assistance Divides an object into two equal parts Divides an object into four equal parts Divides an object into eight equal parts Beginning to describe and recognise halves with teacher assistance Describes and records equal parts as halves with teacher assistance Describes and records equal parts as halves using drawings Describes and records equal parts as halves and quarters using drawings Describes, records and uses notation for halves, quarters and eighths using drawings ½ ¼ 1/8 Patterns and Algebra Outcomes Content descriptor Limited Basic Sound High Outstanding Recognises, describes and continues repeating patterns MAe-8NA Sort and classify familiar objects and explain the basis for these Beginning to sort and classify objects in smaller groups with teacher assistance Sorts and classifies objects into smaller groups Sorts and classifies objects into smaller groups and explain the basis for this classification Sorts and classifies smaller groups into a number of different attributes and explains the basis for this classification Copy, continue and create patterns with Usually continues repeating simple patterns using shapes, objects, pictures and Usually continues repeating patterns using shapes, objects, pictures and sounds Recognises, describes, creates and continues repeating patterns using shapes, objects, Recognises, describes, creates and continues repeating patterns using shapes, objects, Recognises, describes, creates and continues repeating patterns using shapes, objects,
objects and drawings sounds with teacher assistance pictures and sounds pictures and sounds and number patterns that increase or decrease pictures and sounds and number patterns that increase or decrease Creates and explains a number pattern using words eg it’s goes up by threes Measurement and Geometry
Length Outcomes Content Descriptor Limited Basic Sound High Outstanding Describes and compares length and distances using everyday language Use direct and indirect comparisons to decide which is longer and explain their reasoning using everyday language Beginning to make short and long construction from concrete materials and with teacher assistance Makes short and long construction from concrete materials with teacher assistance Makes short and long construction from concrete materials using everyday language to explain Makes a variety of short and long construction from concrete materials and using everyday language to explain Makes short and long construction from concrete materials and using everyday language in an unfamiliar context Beginning to use everyday language to describe length eg long short, high, tall and everyday language to describe distance eg near, far, closer with teacher assistance Uses some everyday language to describe length eg long short, high, tall and everyday language to describe distance eg near, far, closer Uses everyday language to describe length eg long short, high, tall Uses everyday language to describe distance eg near, far, closer Uses and applies everyday language to explain and describe length and distance Uses and applies the language for informal units within an unfamiliar context Compares length directly by placing objects side by side and aligning the ends with teacher assistance Compares some length directly by placing objects side by side and aligning the ends Compares length directly by placing objects side by side and aligning the ends Compares length directly by placing 2 or more objects side by side and aligning the ends using informal units Compares length directly by placing 2 or more objects side by side and aligning the ends within an unfamiliar context Records length comparisons informally by drawing, tracing or cutting and pasting with teacher assistance Records length comparisons informally by drawing, tracing or cutting and pasting Records length comparisons informally by drawing, tracing or cutting and pasting, and by using words and numerals Records length comparisons informally by using informal units of measurement Records length comparisons informally by using informal units of measurement using unfamiliar contexts
Area Outcomes Content Descriptor Limited Basic Sound High Outstanding Describes and compares areas using everyday language Use direct comparison to decide which shape has a larger area and explain their reasoning using everyday language Uses some comparative language to describe area eg bigger than or smaller than with teacher assistance Uses some comparative language to describe area eg bigger than, smaller than, the same as Uses comparative language to describe area eg bigger than, smaller than, the same as Uses and applies comparative language to describe area eg bigger than, smaller than, the same as Uses, applies and compares using comparative language to describe area eg bigger than, smaller than, the same as Orders 2 areas into larger and smaller with teacher assistance Orders 2 areas into larger and smaller Estimates the larger of two areas and compares using superimposing or super positioning Estimates and applies the larger of two areas and compares using informal units to measure Estimates and applies the larger of two areas and compares using informal units to measure in unfamiliar contexts Answers simple questions about which area is larger or smaller with different sizes and with teacher assistance Answers simple questions about which area is larger or smaller with different areas Identifies and describes attribute of area by covering surfaces completely with smaller shapes Compares the surfaces of 2 areas and answers questions on which is larger or smaller Uses informal units to measure and record area. Records area comparison informally by drawing tracing or cutting and pasting, and by using numerals and words with teacher assistance Records area comparison informally by drawing tracing or cutting and pasting, Records area comparison informally by drawing tracing or cutting and pasting, and by using numerals and words Records and applies area comparison informally by drawing tracing or cutting and pasting, and by using numerals and words Records and applies area comparison informally by drawing tracing or cutting and pasting, and by using numerals and words in a variety of contexts
Volume and Capacity Outcomes Content Descriptor Limited Basic Sound High Outstanding Describes and compares the capacities of containers and the volumes of objects or substances using everyday language Uses direct an indirect comparisons to decide which holds more and explain their reasoning using everyday language Beginning to identify that volume is the amount of space an object occupies Identifies that volume is the amount of space an object occupies Identifies that volume is the amount of space an object occupies. Estimates volume or capacity using appropriate informal units, eg a smaller container filled into a larger Compares and orders the volumes of two or more objects using informal units Beginning to identify capacity as the amount of space an object can hold. Identifies capacity as the amount of space an object can hold with teacher assistance Identifies capacity as the amount of space an object can hold Identifies and explains capacity as the amount of space an object can hold Identifies and explains capacity as the amount of space an object can hold in a variety of contexts Beginning to use the terms full, empty and about half full with teacher assistance Uses the terms full, empty and about half full with teacher assistance Uses the terms full, empty and about half full. Uses and records using drawings empty, full and about half full Uses and records using drawings empty, full and about half full
Mass Outcomes Content Descriptor Limited Basic Sound High Outstanding Describes the masses of objects using everyday language Use direct and indirect comparisons to decide which is heavier and explain their reasoning using everyday language Beginning to use informal language such as heavy, light Understands and uses informal language such as heavy, light Identifies and describes the attributes of mass as the amount of matter in an object Identifies, describes and compares the mass of objects using informal units Measures, records and compares the mass of objects using informal units Beginning to identify simple masses by pushing, pulling or hefting using an equal arm balance Identifies simple masses by pushing, pulling or hefting using an equal arm balance with teacher assistance Compares the masses of two objects by pushing, pulling or hefting Compares and orders 3 or more masses then check using a balance Compares and orders 3 or more masses then check using a balance then records findings using drawing Records comparisons informally using drawings to records mass comparison informally with teacher assistance Records comparisons informally using drawings to records mass comparison informally Records comparisons informally using drawings and words to records mass comparison informally Explains, records and compares informally using drawings and words to record mass comparison informally Explains, applies, records and compares mass by referring to the number of uniform informal units used
Statistics and Probability Data Outcomes Content descriptor Limited Basic Sound High Outstanding Represents data and interprets data displays made from objects. Answer yes/no questions to collect information (ACMSP011) Collects some information about themselves or their environment, including asking and answering some yes/no questions with teacher assistance Collects some information about themselves or their environment, including asking and answering yes/no questions Collects information about themselves and their environment, including asking and answering yes/no questions Collects information about unfamiliar concepts by answering and asking suitable questions to obtain appropriate data. Collects and interprets information about unfamiliar concepts by asking suitable questions to obtain appropriate data. Organise objects into simple and interpret the displays Groups some objects according to characteristics to form a simple data display with teacher assistance Groups some objects according to characteristics and forms a simple data displays Groups objects according to characteristics to form a simple data display, e.g. sort blocks or counters according to colour Groups objects according to characteristics and forms simple data displays to support data conclusions Groups objects according to characteristics to form data displays on unfamiliar context Arranges some objects in rows or columns according to characteristics to form a data display with teacher assistance Arranges some objects in rows or columns according to characteristics to form a data display Arranges objects in rows or columns according to characteristics to form a data display, e.g. arrange lunchboxes in columns according to colour Arranges objects in rows or columns according to characteristics and displays data using pictorial representations Arranges and creates data displays using pictorial representations from information gathered e.g. tally marks Interprets some information presented in a display of objects to answer questions with teacher assistance Interprets some information presented in a display of objects to answer questions Interprets information presented in a display of objects to answer questions, e.g. 'How many children in our class have red pencil cases?' Interprets information presented in a display using comparative language to support conclusions Interprets information using comparative language and forms questions based on data display
Measurement and Geometry 3 Dimensional Shapes Outcomes Content Descriptor Limited Basic Sound High Outstanding Manipulates, sorts and represents three-dimensional objects and describes them using everyday language MAe-14MG Sort, describe and name familiar three-dimensional objects in the environment (ACMMG009) Describes some of the features of some familiar objects, such as local landmarks including Aboriginal landmarks, using everyday language, e.g. flat, round, curved with teacher assistance Describes some of the features of some familiar objects, such as local landmarks including Aboriginal landmarks, using everyday language, e.g. flat, round, curved Compares and describes the features of familiar three-dimensional objects, such as local landmarks including Aboriginal landmarks, using everyday language, e.g. flat, round, curved Compares and describes the features of familiar three-dimensional objects using some mathematical terms such as edges and faces, such as local landmarks including Aboriginal landmarks, using everyday language, e.g. flat, round, curved Compares, explains. and describes the features of familiar three-dimensional objects using some mathematical terms such as edges and faces, such as local landmarks including Aboriginal landmarks, using everyday language, e.g. flat, round, curved dimensional dimensional
Sorts some objects and explains some of the attributes used to sort them, e.g. colour, size, shape, function with teacher assistance Sorts some objects and explains some of the attributes used to sort them, e.g. colour, size, shape, function Sorts objects and explains the attributes used to sorts them, e.g. colour, size, shape, function Sorts compares and groups three dimensional objects according to a variety of attributes Compares and groups three dimensional objects according to a variety of attributes and give justification for their grouping Recognises and uses informal names for some objects, e.g. box, ball with teacher assistance Recognises and uses informal names for some objects, e.g. box, ball Recognises and uses informal names for three-dimensional objects, e.g. box, ball Recognises and uses mathematical names for some objects e.g. cube Uses mathematical names for all objects e.g. cube, sphere, prism, pyramid and cylinder Manipulates and describes some objects found in the environment with teacher assistance Manipulates and describes some objects found in the environment Manipulates and describes a variety of objects found in the environment Describes and explains (without manipulation) a variety of unfamiliar objects found in the environment Records, describes and explains (without manipulation) a variety of unfamiliar objects found in the environment Predicts and describes some movements of objects, e.g. 'This will roll because it is round' with teacher assistance Predicts and describes some movements of objects, e.g. 'This will roll because it is round' Predicts and describes the movement of objects, e.g. 'This will roll because it is round' Predicts, describes and compares the movement of two or more objects and justifies their evaluation Predicts, describes and compares the movement of two or more objects and justifies their evaluation in a variety of contexts Makes and describes three- models with teacher assistance Makes models using a variety of objects and with teacher assistance describes the models Makes models using a variety of objects and describes the models, e.g. 'I made a model of a person using a ball and some blocks' Makes and compares models using objects and uses some mathematical terms to describe the models e.g. I made a model of a person using cubes Makes and compares models of unfamiliar objects and uses mathematical terms to justify the processes used in creating their end product dimensional dimensional dimensional dimensional dimensional dimensional dimensional dimensional dimensional
Mathematics Syllabus Stage One Year One Number and Algebra Whole Number 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Applies place value, informally, to count, order, read and represent two- and three digit numbers MA1-4NA Develops confidence with number sequences to 100 by ones from any starting point Counts forward and backward to 20 from a given number Counts forward and backward to 100 from a given number with teacher assistance Counts forward and backward by ones to 100 from any two-digit number Counts forward and backward by ones to 100 from any two-digit number independently Counts forward and backward by ones beyond 100 from any two-digit number independently Reads and uses the ordinal names to at least ‘tenth’ Reads and uses the ordinal names to at least ‘twentieth’ Reads and uses the ordinal names to Independently reads and uses the ordinal names to ‘thirty-first’ Independently reads and uses the ordinal names beyond Counts collections to 100 by partitioning numbers using place value Counts collections to at least 20 using ten as a reference Counts collections to 100 by partitioning numbers by grouping in tens with teacher assistance Counts collections to 100 by partitioning numbers by grouping in tens Counts collections beyond 100 by partitioning numbers by grouping in tens and ones Counts collections to 1000 by partitioning numbers by grouping in hundreds, tens and ones Recognise, model, read, write and order numbers to at least 100; locate these numbers on a number line Recognises, models using concrete materials, reads, writes and orders numbers to at least 20 Recognises, models, reads, writes and orders numbers to at least 100 using visual aids e.g. number line, hundreds chart Recognises, models, reads, writes and orders numbers to 100 Recognises, models, reads, writes and orders numbers beyond 100 Recognises, models, reads, writes and orders numbers to at least 1000
Uses at least one strategy such as counting on, partitioning, and rearranging parts with teacher assistance Uses at least one strategy such as counting on, partitioning, and rearranging parts Uses a range of strategies such as counting on, partitioning, and rearranging parts Uses a range of strategies such as counting on, partitioning, and rearranging parts Implements a variety of mental and written strategies and explains how an answer was obtained Multiplication and Division 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses a range of mental strategies and concrete materials for and division MA1-6NA Skip count by twos, fives and tens starting from zero Rhythmic and skip counts by twos, fives and tens from any number with concrete and visual aids and teacher assistance Rhythmic and skip counts by twos, fives and tens from any number with concrete and visual aids Skip counts by twos, fives and tens Skip counts by twos, fives and tens from any number Skip counts by twos, fives and tens from any number and applies this to solve problems Model and use equal groups of objects as a strategy for Recognise and represent division as grouping into equal sets Recognises and forms equal groupings and with teacher assistance, and models multiplication and division problems with concrete materials Uses equal groupings to model multiplication and division problems with teacher assistance Uses equal groupings to model multiplication and division problems Uses equal groupings to model and solve multiplication and division problems Uses equal groupings, arrays, columns and rows to model and solve multiplication and division problems
Fractions and Decimals 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Represents and models halves, quarters and eighths Recognise and describe one- half as one of two equal parts of a whole (AMNAA016) Recognises and describes two equal parts as halves Recognises, describes and records one- half as one of two equal parts of a whole with teacher assistance Recognises, describes and records one- half as one of two equal parts of a whole Recognises, describes and records one- half as one of two equal parts of a whole and as four equal parts of a whole Recognises, describes and records one- half as one of two equal parts of a whole; one-quarter as four equal parts of a whole; and one-eighth as eight equal parts of a whole Patterns and Algebra 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Creates, represents and continues a variety of patterns with numbers and objects Investigate and describe number patterns formed by skip counting and patterns with objects (ACMNA018) Recognises, records, describes and continues simple number patterns that ascend or descend by one Recognises, records, describes and continues repeated ‘two’ and ‘three’ object patterns and number patterns that increase or decrease with visual supports and teacher support Recognises, records, describes and continues repeated ‘two’ and ‘three’ object patterns and number patterns that increase or decrease with visual supports Recognises, records, describes and continues repeated ‘two’ and ‘three’ object patterns and number patterns that increase or decrease independently Recognises, records, describes and continues number patterns that increase or decrease and identify missing elements Skip counting (taken from Multiplication and Division) Rhythmic and skip counts by twos, fives and tens from any number with visual aids and teacher assistance Rhythmic and skip counts by twos, fives and tens from any number with visual aids Skip counts by twos, fives and tens from any number with visual aids Skip counts by twos, fives and tens from any number Skip counts by twos, fives and tens and applies this to solve problems quarter
Measurement and Geometry Length 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measures, records, compare and estimates lengths and distances using uniform informal units, metres and centimetres. MA1-9MG Measure and compare the lengths of pairs of objects using uniform informal units Measures and compares the lengths of some pairs of objects using uniform informal units with teacher assistance Measures and compares the lengths of some pairs of objects using uniform informal unit Measures and compares the lengths of pairs of objects and distances using uniform informal units Measures, explains and compares the lengths of several objects and distances by selecting appropriate uniform informal units independently Estimates, explains measures and compares the lengths of several objects by selecting appropriate uniform informal units in unknown contexts Area 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measure, compares, records and estimates areas using uniform informal units Measure and compare areas using uniform informal units Estimates, measures, compares and records some areas using uniform informal units with teacher assistance Estimates, measures, compares and records some areas using uniform informal units Estimates, measures, compares and records areas using uniform informal units Estimates, measures, explains compares and records the lengths of several areas by selecting appropriate uniform informal units independently Estimates, explains measures and compares the lengths of several areas by selecting appropriate uniform informal units in unknown contexts and discusses strategies used
Volume and Capacity 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measure, records, compares and estimates volumes and capacities using uniform informal units Measure and compare the capacities of pairs of objects using uniform informal units Estimates, measures, compares and records the capacity of some pairs of objects using uniform informal units with teacher assistance Estimates, measures, compares and records the capacity of some pairs of objects using uniform informal units Estimates, measures, compares and records the capacity of pairs of objects using uniform informal units Estimates, measures, compares and records the capacity of several objects by selecting appropriate uniform informal units independently Estimates, explains measures and compares the capacities of several objects by selecting appropriate uniform informal units in unknown contexts and discusses strategies used Estimate, record and measure the volume of the container with uniform informal units and counting the number used Estimates, measures and records the volume of a regular rectangular container using some uniform informal units with teacher assistance Estimates, measures and records the volume of a regular rectangular container using some uniform informal units accurately Estimates, measures and records the volume of a regular rectangular container using uniform informal units Estimates, measures, records, compares the volume of a variety of regular rectangular containers using uniform informal units Estimates, measures, records, compares and predicts the volume of a variety of rectangular containers by selecting appropriate uniform informal units and justifying their choice Mass 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measure, records, Investigate mass using Compares and measures the masses of two Compares, measures and records the Compares, measures, sorts and records the Compares, measures, sorts and records the Compares, measures, sorts and records the
Outcomes Content descriptor Limited Basic Sound High Outstanding Manipulates, sorts, represent, describes and explores two shapes, including pentagon, hexagons and octagons Recognise, classify and sort familiar two- shapes using obvious features Recognises, classifies and sorts familiar two- shapes using obvious features with concrete materials and teacher assistance Recognise, classify and sort familiar two- shapes using obvious features with concrete material Recognises, classifies and sorts familiar two- dimensional shapes using obvious features Recognises, classifies and sorts familiar two- shapes and explains the attributes used. Recognises, classifies and sorts unfamiliar two-dimensional shapes in different orientations and explains the attributes used. Position 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Represents and describes the positions of objects in everyday situations and on maps Give and follow directions to familiar locations Follows some directions to familiar locations with teacher assistance Gives and follows some directions to familiar locations Gives and follows directions to familiar locations Gives and follows directions to familiar locations using a diagram or description Gives, follows, describes and draws directions to familiar locations using diagrams or computer software
Mathematics Syllabus Stage One Year Two Number and Algebra Whole Number 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Applies place value, informally, to count, order, read and represent two- and three digit numbers MA1-4NA Develop confidence with number sequences from 100 by ones from any starting point Counts forwards and backwards by ones and identifies the number before and after a given three digit number with concrete materials Counts forwards and backwards by ones and identifies the number before and after a given three digit number with teacher assistance Counts forwards and backwards by ones and identifies the number before and after a given three digit Counts forwards and backwards by ones and identifies the number before and after a given four digit number Counts forwards and backwards by ones, and identifies the number before and after a given four and five digit number Recognise, model, represent and order numbers to at least 1000 Recognises, and arranges some numbers using a variety of methods including concrete materials and with teacher assistance Recognises, represents and arranges some three-digit numbers using a variety of methods with teacher assistance Recognises, represents and arranges three-digit numbers using a variety of methods Recognises, represents and arranges four-digit numbers using a variety of methods Recognises, represents and arranges four-five digit numbers using a variety of methods Investigate number sequences initially those increasing and decreasing by 2s, 3s, 5s and 10s from any starting point and then moving to other sequences Identifies number sequences and counts forwards and backwards by twos, threes, fives and tens on the decade, with two and three-digit numbers using concrete materials and with teacher assistance Identifies number sequences and counts forwards and backwards by twos, threes, fives and tens on and off the decade, with two and three-digit numbers with some teacher assistance Identifies number sequences and counts forwards and backwards by twos, threes, fives and tens on and off the decade, with two and three-digit numbers Identifies number sequences and counts forwards and backwards by twos, threes, fives and tens on and off the decade, with two, three and four-digit numbers Identifies number sequences and counts forwards and backwards by twos, threes, fours ,fives and tens on and off the decade, with two, three and four-digit numbers
Uses a range of strategies and informal recording methods for addition and subtraction involving one- and two-digit numbers MA1-5NA Explore the connections between addition and subtraction Uses some concrete materials to demonstrate the inverse relationship between addition and subtraction with teacher assistance Uses some concrete materials to demonstrate the inverse relationship between addition and subtraction Uses concrete materials to demonstrate the inverse relationship between addition and subtraction Uses and applies concrete materials to demonstrate the inverse relationship between addition and subtraction Uses and applies concrete materials to demonstrate the inverse relationship between addition and subtraction to complex and unfamiliar contexts Demonstrates related addition and subtraction number facts to 10 Demonstrates some related addition and subtraction number facts to 20 Demonstrates related addition and subtraction number facts to 20 Demonstrates related addition and subtraction number facts to 100 Demonstrates related addition and subtraction number facts to 100 and beyond Solve simple addition and subtraction problems using a range of efficient mental and written strategies Uses one mental strategy to solve addition and subtraction problems involving one and two-digit numbers with teacher assistance Uses some mental strategies to solve addition and subtraction problems involving one and two-digit numbers Uses a variety of mental strategies to solve addition and subtraction problems involving one and two-digit numbers Uses a variety of mental strategies to solve addition and subtraction problems involving one, two and three-digit numbers Uses a variety of mental strategies to justify and solve addition and subtraction problems involving three-digit numbers and beyond Multiplication and Division 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses a range of mental strategies and concrete materials for and division Recognise and represent multiplication as repeated addition, groups and arrays Models and uses one of the following strategies for multiplication including arrays, equal groups and repeated addition. Models some multiplication as repeated addition through the use of concrete materials Models multiplication as repeated addition through the use of concrete materials Models and uses informal written and mental strategies for multiplication of 2 digits by 1 digit numbers Models and uses a range of informal written and mental strategies for multiplication of 2 digit by 1 digit numbers for solving real-life and complex problems Beginning to recognises when some items have Recognises when some items have been Recognises when items have been arranged Uses and recognises when items have been Uses, explains and recognises when items
MA1-6NA been arranged into groups arranged into groups into groups arranged into groups and uses for problem solving have been arranged into groups and uses for problem solving Beginning to model the accumulative properties of multiplication with teacher assistance Models the accumulative properties of multiplication with teacher assistance Models the accumulative properties of multiplication Models, uses and applies the accumulative properties of multiplication Models, uses and applies the accumulative properties of multiplication for problem solving Represent division as grouping into equal sets and solve simple problems using these Models some division through strategies such as sharing a collection of objects and repeated subtraction with teacher assistance Models some division through strategies such as sharing a collection of objects and repeated subtraction Models division through a variety of ways including sharing a collection of objects and repeated subtraction Models and uses informal written and mental strategies for solving real-life division problem Models and uses a range of informal written and mental strategies for solving real-life division problems Solves and records answers for some multiplication and division problems with teacher assistance Solves and records answers for some multiplication and division problems Solves and records answers for a variety of multiplication and division problems Solves, explains and records answers for a variety of multiplication and division problems Solves, explains and records answers for a variety of familiar and unfamiliar multiplication and division problems Fractions and Decimals 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Represents and models halves, quarters and eighths MA1-7 Recognises and interprets common uses of halves, quarters and eighths of shapes and collections. Uses concrete materials to model a half or a quarter using a limited variety of shapes and collections Uses concrete materials to model a half, a quarter or an eighth using a limited variety of shapes and collections Uses concrete materials to model a half, a quarter or an eighth using a variety of shapes and collections Models and compares a half, a quarter or an eighth using a variety of shapes and collections Explains, models and compares a half, a quarter, an eighth and a tenth using a variety of shapes and collections
Uses some fraction notation ½ and ¼ with teacher assistance Uses some fraction notation ½, ¼ and ⅛ Uses fraction notation ½, ¼ and ⅛ Uses fraction notation and language in a variety of everyday contexts Uses fraction notation and language in a variety of everyday contexts Patterns and Algebra 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Creates, represents and continues a variety of patterns with numbers and objects MA1-8NA Describe patterns with numbers and identify missing elements Uses concrete materials to represent number patterns Describes some number pattern in words Describes a number pattern in words Recognises, describes, and continues repeating patterns and numbers patterns that increase or decrease by any number Recognises, describes, creates and continues repeating patterns and numbers patterns that increase or decrease by any number Beginning to identify the missing number within a number pattern with teacher assistance Determines some missing number within a given number pattern Determines a missing number within a given number pattern Determines and explains a missing number within a given number pattern Determines, interprets and explains a missing number within a given number pattern Solve problems by using number sentences for addition and subtraction Completes and solves some number sentences up to ten / twenty involving addition and subtraction by calculating the missing number with teacher assistance Completes and solves some number sentences involving addition and subtraction by calculating the missing number Completes and solves number sentences involving addition and subtraction by calculating the missing number Completes, solves and composes a number of sentences involving more than one operation Completes, solves and composes a variety of number sentences involving the four operations .
Outcomes Content Descriptor Limited Basic Sound High Outstanding Measures, records, compares and estimates volumes and capacities using uniform informal units (MA1-11MG). Compare and order several objects based on volume and capacity using appropriate uniform informal units (ACMMG037). Compares, records and orders some objects based on volume and capacity using appropriate uniform informal units with teacher assistance Compares, records and orders some objects based on volume and capacity using appropriate uniform informal units Compares, and orders several objects based on volume and capacity using appropriate uniform informal units Compares, discusses, records and orders a variety of objects based on volume and capacity using appropriate uniform informal units Compares, records and orders a variety of objects based on volume and capacity using appropriate uniform informal units in unfamiliar contexts Records some volume and capacity comparisons informally using drawings, numerals and words, and by referring to the uniform informal unit used with teacher assistance Records some volume and capacity comparisons informally using drawings, numerals and words, and by referring to the uniform informal unit used Records volume and capacity comparisons informally using drawings, numerals and words, and by referring to the uniform informal unit used Records and applies volume and capacity comparisons informally using drawings, numerals and words, and by referring to the uniform informal unit used Records, applies and explains volume and capacity comparisons informally using drawings, numerals and words in unfamiliar contexts Mass 2 Outcomes Content Descriptor Limited Basic Sound High Outstanding
Measures, records, compares and estimates the masses of objects using uniform informal units Compare the masses of objects using balance scales (ACMMG038). Compares the masses of some objects using balance scales with teacher assistance. Compares the masses of some objects using balance scales. Compares the masses of objects using balance scales. Compares the masses of a variety of objects using balance scales and explains results. Compares the masses of a variety of objects using balance scales and explains results in unfamiliar contexts. Records the masses of some objects using appropriate uniform informal units with teacher assistance Records the masses of some objects using appropriate uniform informal units. Records the masses of objects using appropriate uniform informal units. Records and compares the masses of objects using appropriate uniform informal units. Records and compares the masses of objects using appropriate uniform informal units in unfamiliar contexts. Time 2 Outcomes Content Descriptor Limited Basic Sound High Outstanding
hexagons and octagons Investigate the effect of one-step slides and flips, with and without the use of digital technologies (ACMMG045). Investigates and records some of the effect of one-step slides and flips, with and without the use of digital technologies and teacher assistance Investigates and records some of the effect of one-step slides and flips, with and without the use of digital technologies Investigates and records the effect of one-step slides and flips, with and without the use of digital technologies Investigates, applies and records the effect of one-step slides and flips, with and without the use of digital technologies Investigates, applies and records the effect of one-step slides and flips, with and without the use of digital technologies to everyday life contexts Identify and describe half-turns and quarter-turns (ACMMG046). Identifies and describes some and with teacher assistance and concrete materials. Identifies and describes some and Identifies and describes half-turns and quarter-turns Identifies, describes and applies and Identifies, describes, connects and applies half-turns and quarter-turns to unfamiliar situations Position 2 Outcomes Content Descriptor Limited Basic Sound High Outstanding Represents and describes the positions of objects in everyday situations and on maps (MA-16MG). Interpret simple maps of familiar locations and identify the relative positions of key features (ACMMG044). Interprets some simple maps of familiar locations and identifies some relative positions of key features with teacher assistance Interprets some simple maps of familiar locations and identifies some relative positions of key features Interprets simple maps of familiar locations and identifies the relative positions of key features Interprets complex maps of familiar locations and identifies the relative positions of key features Interprets complex maps of familiar locations and identifies the relative positions of key features and relates to real-world contexts Data 2 Outcomes Content Descriptor Limited Basic Sound High Outstanding
Gathers and organises data, displays data in lists, tables and picture graphs, and interprets the results (MA-17SP). Identify a question of interest based on one categorical variable and gather data relevant to the question (ACMSP048). Identifies a question of interest based on one area and gathers some data relevant to the question with prompting and teacher assistance Identifies a question of interest based on one area and gathers some data relevant to the question Identifies a question of interest based on one categorical variable and gather data relevant to the question Identifies questions of interest based on more than one categorical variable and gathers and applies data relevant to the question Identifies questions of interest based on more than one categorical variable and gathers and applies data relevant to the question and can apply to unknown situations Collect, check and classify data (ACMSP049). Collects and classifies some data on familiar topics using tally marks with teacher assistance Collects and classifies some data on familiar topics using tally marks Collects, checks and classifies data using tally marks on familiar topics Collects, checks classifies and sorts data using tally marks on familiar topics Collects, checks classifies and sorts data using tally marks on familiar and unfamiliar topics Create displays of data using lists, tables and picture graphs and interpret them (ACMSP050). Creates some displays of data using lists, tables and picture graphs with teacher assistance Creates some displays of data using lists, tables and picture graphs Creates displays of data using lists, tables and picture graphs and interpret Creates displays of data using lists, tables and various graphs and analyses some of the information Creates displays of data using lists, tables and various graphs and analyses information Chance 2 Outcomes Content Descriptor Limited Basic Sound High Outstanding
Recognises and describes the element of chance in everyday events (MA1-18SP) Identify practical activities and everyday events that involve chance (ACMSP047) Identifies some practical activities and everyday events that involve chance with teacher assistance Identifies some practical activities and everyday events that involve chance Identifies practical activities and everyday events that involve chance Identifies and applies practical activities and everyday events that involve chance Identifies and applies practical activities and everyday events that involve chance and relate to everyday situations Describe outcomes as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' (ACMSP047) Describe some outcomes as likely' or 'unlikely' and identify some events as 'certain' or 'impossible' with teacher assistance Describes some outcomes as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' Describes outcomes as 'likely' or 'unlikely' and identify events as 'certain' or 'impossible' Identifies, explains and describes outcomes as 'likely’, 'unlikely', 'certain' or 'impossible' Identifies, explains, describes and justifies outcomes as 'likely', 'unlikely’, 'certain' or 'impossible' and distinguish between particular events Mathematics Syllabus Stage Two Year Three Number and Algebra
Whole Number 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Applies place value to order, read and represent numbers of up to five digits Recognise, model, represent and order numbers to at least 10,000 Recognises models, represents and orders numbers to at least 1,000 with teacher assistance or concrete materials Recognises models, represents and orders numbers to at least 10,000 with teacher assistance Recognises models, represents and orders numbers to at least 10,000 Recognises models, represents and orders numbers to tens of thousands Recognises models, represents and orders numbers to tens of thousands and beyond Apply place value to, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems Applies place, rearrange and regroup numbers to at least 100 to assist calculations and solve problems with concrete material and teacher assistance Applies place, rearrange and regroup numbers to at least 1 000 to assist calculations and solve problems with some teacher assistance Applies place, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems Applies place, rearrange and regroup numbers to tens of thousands and beyond to assist calculations and solve problems Applies place, rearrange and regroup numbers to tens of thousands and beyond to assist calculations and solve complex and unfamiliar problems Addition and Subtraction 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses mental and written strategies for addition and subtraction involving Recall addition facts for numbers and related subtraction facts to develop Recalls one mental strategy for addition and subtraction using concrete materials and with teacher assistance Recalls some addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation Recalls addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation Recalls and uses mental strategies up to and involving 2,3 and 4 digit numbers demonstrating efficient strategies for computation Recalls and selects efficient strategies for computation up to and involving 2,3 and 4 digit numbers for a variety of complex and unfamiliar problems
two-, three-, four- and five-digit numbers MA2-5NA increasingly efficient mental strategies for computation Recognise and explain the connection between addition and Recognises and explains some connections between addition and subtraction with teacher assistance Recognises and explains some connections between addition and subtraction Recognises and explains the connection between addition and subtraction Recognises, explains and applies the relationship between addition and subtraction Recognises, explains, interprets and applies the relationship between addition and subtraction to unfamiliar and complex problems Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059) Represents some money values in multiple ways with teacher assistance Represents some money values in multiple ways Represents money values in multiple ways Represents money values in multiple ways Represents money values in multiple ways in unfamiliar and complex problems Counts some change required for simple transactions to the nearest five cents with teacher assistance and concrete materials Counts some change required for simple transactions to the nearest five cents with teacher assistance Counts the change required for simple transactions to the nearest five cents Counts the change required for transactions to the nearest five cents for real life problems Counts the change required for unfamiliar real life problems and transactions to the nearest five cents Multiplication and Division 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses mental and informal written strategies for and division MA2-6NA Recall multiplication facts of two, three, five and ten and related division facts Recalls some multiplication facts of two, three, five and ten with teacher assistance using concrete material Recalls multiplication facts of two, three, five and ten using concrete material or written strategies Recalls and uses mental strategies for multiplication facts of two, three, five and ten Recalls and uses efficient mental strategies for multiplication facts of two, three, five and ten Recalls, uses and explains efficient mental strategies for multiplication facts of two, three, five and ten Recalls some strategies Recalls strategies for Recalls and uses Recalls and uses Recalls, uses and
for related division facts with teacher assistance and concrete materials related division facts with concrete materials or written strategies mental strategies for related division facts efficient mental strategies for related division facts explains efficient mental strategies for related division facts Uses mental and informal written strategies for and division MA2-6NA Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies Uses informal written strategies and concrete material to multiply a one-digit number by a multiple of 10 with teacher assistance Uses some informal written strategies to multiply a one-digit number by a multiple of 10 Uses mental strategies to multiply a one-digit number by a multiple of 10 Uses and explains how an answer was obtained when using mental strategies to multiply a one-digit number by a two-digit number Uses, explains and applies a range of mental strategies to multiply a one-digit number by a two-digit number for complex and unfamiliar problems Fractions and Decimals 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Represents, models and compares commonly used fractions and decimals MA2-7NA Model and represent unit fractions, including ½, ¼, ⅓ and ⅕ and their multiples, to a complete whole Models and represents some unit fractions, including ½ and ¼ to a complete whole with teacher assistance Models and represents some unit fractions, including ½ and ¼, and their multiples, to a complete whole Models and represents unit fractions, including ½, ¼, ⅓ and ⅕ and their multiples, to a complete whole Models, represents and compares unit fractions, including ½, ¼, ⅓ and ⅕ and their multiples, to a complete whole Models, represents and compares unit fractions, including ½, ¼, ⅓ and ⅕ to a complete whole for complex and unfamiliar problems Demonstrates knowledge of equivalent fractions Count by quarters, halves and thirds, including Counts by quarters and halves up to one whole with teacher assistance Counts by quarters halves and thirds up to one whole with some teacher assistance Counts by quarters, halves and thirds, including with mixed numerals Counts by quarters, halves, thirds, fifths and tenths, including with mixed numerals Counts by quarters, halves, thirds, fifths and tenths, including with mixed numerals
with mixed numerals; locate and represent these fractions on a number line Locates and represents some of these fractions on a number line with teacher assistance Locates and represents some of these fractions on a number line with some teacher assistance Locates and represents these fractions on a number line Locates, represents and applies these fractions on a number line Locates, represents, applies and compares these fractions on a number line Patterns and Algebra 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values Describe, continue and create number patterns resulting from performing addition or subtraction Describes and continues some number patterns resulting from performing addition or subtraction with teacher assistance Describes, continues and creates some number patterns resulting from performing addition or subtraction Describes, continues and creates number patterns resulting from performing addition or subtraction Describes, continues, creates and explains number patterns resulting from performing addition or subtraction Describes, continues, creates and explains number patterns resulting from performing addition or subtraction in unfamiliar problems Investigate the conditions required for a number to be or and identify even and odd numbers Investigates some of the conditions required for a number to be or with teacher assistance. Investigates the conditions required for a number to be or with teacher assistance. Investigates the conditions required for a number to be or. Investigates and explains the conditions required for a number to be or. Investigates and explains the conditions required for a number to be or within a problem solving task. Identifies some even and odd number with teacher assistance Identifies some even and odd number Identifies even and odd numbers Identifies , explains and applies even and odd numbers Identifies , explains and applies even and odd numbers in problem solving tasks
Measurement and Geometry Length 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measure, order and compare objects using familiar metric units of length Measures, Records, Compares and Estimates lengths, distances and perimeters in meters, centimetres and millimetres and measures, compares and records Measures and orders some objects using familiar metric units of length with teacher assistance Measures, orders and compares some objects using familiar metric units of length Measures, orders and compares objects using familiar metric units of length Measures, orders, records, estimates and compares objects using familiar metric units of length Measures, orders, records, estimates and compares objects using familiar metric units of length with familiar and unfamiliar contexts Area 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measures, records, compare Recognise and use formal units Recognises and uses informal units to measure the area of Recognises and uses some formal units to measure and to Recognises and uses formal units to measure and estimate the area Recognises uses and explains the use of formal units to Recognises uses and explains the use of formal units to temperature
and estimates areas using square centimetres and square to measure and estimate the area of rectangles rectangles with teacher assistance estimate the area of rectangles of rectangles measure, estimate and compare the area of rectangles measure, estimate and compare the area of regular and irregular shapes Volume and Capacity 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Measures, records, compare and estimates volumes and capacities using litres, millilitres and cubic centimetres. Measure, order and compare objects using familiar metric units of capacity. Measures and orders objects using informal units of capacity with teacher assistance Measures, orders and begins to compare objects using familiar metric units of capacity Measures, orders and compares objects using familiar metric units of capacity Measures, estimates, orders and compares capacity of objects using familiar metric units of capacity. Converts between units of capacity Measures, estimates, orders, compares and applies capacity of objects using familiar metric units of capacity and in unfamiliar contexts Converts and compares between units of capacity Compare objects using informal units of volume with significant Compares some objects using informal units of volume with teacher assistance Compares some objects using familiar metric units of volume Compares objects using familiar metric units of volume Compares objects using familiar and unfamiliar metric units of volume Compares objects using familiar and unfamiliar metric units of volume and applies to a variety of contexts
intervals and converts between hours, minutes and seconds. the relationship between units of time. teacher assistance units of time between units of time and applies to familiar contexts applying to a variety of contexts Three Dimensional 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Makes, compares, sketches and names objects including prisms, pyramids, cylinders, cones and spheres and describes their features. Make models of objects and describe key features. Make models of some three-dimensional objects and recognises some key features with teacher assistance Makes models of some three-dimensional objects and describes some key features Makes models of objects and describes key features Makes and names models of objects and describes and compares key features Makes and names models of objects and describes and compares key features Applies knowledge and understanding in a variety of unfamiliar contexts Two Dimensional 1
Outcomes Content descriptor Limited Basic Sound High Outstanding Manipulates, identifies and sketches shapes including special and describes their features. Compare and describe features of shapes, including the special Compares and describe some features of some shapes with teacher assistance Compares, constructs and describe some features of some shapes, including some of the special quadrilaterals. Compares, constructs and describe features of two-dimensional shapes, including the special quadrilaterals Compares, constructs and describe features of two-dimensional shapes, including the special quadrilaterals and applies to familiar contexts Compares, constructs and describe features of two-dimensional shapes, including the special quadrilaterals and applies to a variety of contexts Identify symmetry in the Identifies simple symmetry in environment with teacher assistance Identifies simple symmetry in environment Identifies symmetry in the environment Identifies, explains and applies symmetry and symmetrical patterns in the environment Identifies, explains, applies and creates symmetry and symmetrical patterns in the environment Angles 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Identifies, describes, compares and classifies angles. Identify angles as measures of turn and compare angle sizes in everyday situations. Identifies some angles as measures of turn and compares some angle sizes with teacher assistance Identifies some angles as measures of turn and compares some angle sizes in everyday situations Identifies angles as measures of turn and compares angle sizes in everyday situations Identifies and applies angles as measures of turn and compares angle sizes in everyday situations Identifies and applies angles as measures of turn and compares angle sizes in everyday situations and unfamiliar contexts two- two- two- two-
Position 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses simple maps and grids to represent position and follow routes, including using compass directions. Create and interpret simple grid maps to show position and pathways. Interprets some simple grid maps to show position with assistance Creates and interprets some simple grid maps to show position and pathways Creates and interprets simple grid maps to show position and pathways Creates, interprets and applies more complex grid maps to show position and pathways Creates, interprets and applies more complex grid maps to show position and pathways, using scales, legends and directions Mathematics Syllabus Stage Two Year Four Number and Algebra Whole Number 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Applies place value, to Recognise, represent Beginning to understand place Applies some understanding of place Applies an understanding of place Applies an understanding of place value to read and Applies an understanding of place
formal and written algorithm to record addition and subtraction with calculations of up to five digit numbers and written algorithm to record addition and subtraction with calculations of up to five digit numbers with teacher assistance and written algorithm to record addition and subtraction with calculations of up to five digit numbers written algorithm to record addition and subtraction with calculations of up to five digit numbers. algorithm to record addition and subtraction with calculations of up to six digit numbers algorithm to record addition and subtraction with calculations of any size Multiplication and Division 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses mental and informal written strategies for multiplication and division MA2-6NA Recall multiplication facts up to 10 x 10 and related division facts Beginning to recall multiplication facts up to 10 x 10 with teacher assistance. Recalls some multiplication facts up to 10 x 10 Recalls multiplication facts up to 10 x 10. Recalls automatically multiplication facts up to 10 x 10. Uses range mental and written strategies to recall multiplication facts beyond 10 x 10 Recall division facts up to 10 x 10 and related division facts Beginning to recall division facts up to 10 x 10 with teacher assistance Recalls some division facts up to 10 x 10 Recalls division facts up to 10 x 10 Recalls automatically division facts up to 10 x 10 Uses range mental and written strategies to recall division facts beyond 10 x 10 Recall facts up to 10 x 10 and related division facts Beginning to recall multiplication facts up to 10 x 10 with teacher assistance Recalls some multiplication facts up to 10 x 10 Recalls multiplication facts up to 10 x 10 Recalls and applies multiplication facts up to 10 x 10 Recalls and applies multiplication facts beyond 10 x 10 Relates some multiplication facts using a variety of mental and written strategies with teacher assistance Relates some multiplication facts using a variety of mental and written strategies Relates and interprets multiplication facts using a variety of mental and written strategies Relates and interprets multiplication facts using a variety of mental and written strategies Relates and interprets multiplication facts using a variety of mental and written strategies to complex and unfamiliar
connections between fractions and decimal notation Beginning to makes connections between fractions and decimal notation with teacher assistance Makes some connections between fractions and decimal notation Makes and recognises connections between fractions and decimal notation Makes and recognises connections between fractions and decimal notation and forms Makes and recognises connections between fractions and decimal notation and form and uses it to solve problems Patterns and Algebra 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values Use equivalent number sentences involving addition and subtraction to find unknown quantities Investigate and use the properties of odd and even numbers (ACMNA071) Investigate number sequences
multiplication involving multiples of 3,4,6,7,8 and 9 (ACMNA074) Explore and describe number patterns resulting from performing Solve word problems by using number sentences involving multiplication or division where there is no remainders (ACMNA082) Measurement and Geometry Length 2 Outcomes Content descriptor Limited Basic Sound High Outstanding MA2-9MG measures, records, compares and estimates lengths, Use scaled instruments to measure and compare lengths Selects and uses some appropriate devices to measure lengths and distances, with teacher Selects and uses some appropriate devices to measure lengths and distances Selects and uses an appropriate device to measure lengths and distances Selects, uses and applies an appropriate device to estimate, measure and compare lengths and distances Selects uses and applies an appropriate device to estimate measure and compare lengths and distances
distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures (ACMMG084) assistance in familiar contexts in unfamiliar contexts Estimate and measure the perimeters of shapes. Beginning to estimate and measure the perimeter of 2D shapes with teacher assistance Estimates and measures the perimeter of 2D shapes Estimates and measures the perimeters of shapes Estimates and measures the perimeters of shapes and begins to measure larger areas Estimates and measures the perimeters of shapes and begins to measure larger areas and compares perimeters Convert between metres and centimetres, and between centimetres and millimetres Beginning to convert between metres and centimetres and between centimetres and millimetres with teacher assistance Converts between some metres and centimetres and between centimetres and millimetres Converts and describes between metres and centimetres, and between centimetres and millimetres Converts, describes and explains between metres and centimetres, and between centimetres and millimetres and beginning to convert between metres and kilometres Converts, describes and explains between metres and centimetres, and between centimetres, millimetres, metres and kilometres Use scaled instruments to measure and compare temperatures (ACMMG084) Beginning to recognise the need for a scaled instrument to measure and compare Beginning to use a scaled instrument to measure and compare temperature to the nearest degree Celsius Uses scaled instruments to measure and compare temperatures to the nearest degree Celsius. Uses scaled instruments to measure and compare temperatures to the nearest degree Celsius within a familiar context Uses scaled instruments to measure and compare temperatures to the nearest degree Celsius within an unfamiliar context Area 2 Outcomes Content descriptor Limited Basic Sound High Outstanding
MA210MGMeasures, records, compares and estimates areas using square centimetres and square metres Compare the areas of regular and by informal means (ACMMG087) Estimates and measures some areas of regular and irregular shapes using informal units with teacher assistance Estimates, measures and compares some of the areas of regular and irregular shapes by informal means Estimates, measures, compares the areas of regular and by informal means Estimates, measures, explains and compares the areas of regular and by informal means Estimates, measures, explains and compares the areas of regular and by informal means, within unfamiliar contexts Compare objects using familiar metric units of area (ACMMG290) Compares some areas using square centimetres with teacher assistance Compares some areas using square centimetres and square metres with teacher assistance Compares, measures and records areas using square centimetres and square metres Compares, estimates, measures and records areas using square centimetres and square metres Beginning to show an understanding of decimal notation in recording familiar areas. Uses kilometre units Compares, estimates, measures and records areas using square centimetres and square metres Beginning to show an understanding of decimal notation in recording familiar areas. Uses kilometre and hectare units Volume and Capacity 2 Outcomes Content descriptor Limited Basic Sound High Outstanding MA2-11MG measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres Use scaled instruments to measure and compare (ACMMG084) Estimates, measures, records and begins to compare volumes and capacities using litres with teacher assistance Estimates, measures, records and begins to compare volumes and capacities using litres and millilitres Estimates, measures, compares and records volumes and capacities using litres and millilitres Estimates, measures, compares and records volumes and capacities using litres and millilitres. Begins to record using decimal notation in recording Estimates, measures, compares and records volumes and capacities using litres and millilitres in complex problems Uses decimal notation in recording Mass 2 Outcomes Content descriptor Limited Basic Sound High Outstanding
Outcomes Content descriptor Limited Basic Sound High Outstanding MA2-15MG Manipulates, identifies and sketches shapes, including special quadrilaterals, and describes their features Compare and describe shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088) Begins to identify and sketch pentagons, octagons, presented in different orientations with teacher assistance Begins to identify and sketch pentagons, octagons, special quadrilaterals and parallelograms presented in different orientations Identifies, splits and sketches pentagons, octagons, special quadrilaterals and parallelograms presented in different orientations Identifies, splits and sketches pentagons, octagons, special quadrilaterals and parallelograms presented in different orientations and complex problems Identifies, splits and sketches pentagons, octagons, special quadrilaterals and parallelograms presented in different orientations and complex and unfamiliar problems Create symmetrical patterns, pictures and shapes, with and without the use of digital technologies (ACMMG091) Identifies some symmetrical patterns in 2D shapes with teacher assistance Identifies and creates some symmetrical patterns, in 2D shapes by translating, reflecting and rotating Identifies and creates symmetrical patterns, in 2D shapes by translating, reflecting and rotating Identifies, applies, explains and creates symmetrical patterns, in 2D shapes by translating, reflecting and rotating Identifies, applies, explains and creates symmetrical patterns, in 2D shapes by translating, reflecting and rotating in complex and unfamiliar problems Identifies some tessellating patterns, pictures and shapes, with and without the use of digital technologies with teacher assistance Identifies some tessellating patterns, pictures and shapes, with and without the use of digital technologies Identifies tessellating patterns, pictures and shapes, with and without the use of digital technologies Identifies, applies and explains tessellating patterns, pictures and shapes, with and without the use of digital technologies Identifies, applies, explains and creates and justifies tessellating patterns, pictures and shapes in a context, with and without the use of digital technologies Angles 2 Outcomes Content descriptor Limited Basic Sound High Outstanding
Identify and describe factors and multiples of whole numbers and use them to solve problems Identifies and describes some of the factors and multiples of whole numbers and uses them to solve problems with teacher assistance Identifies and describes some of the factors and multiples of whole numbers and uses them to solve problems with concrete materials Identifies and describes factors and multiples of whole numbers and use them to solve problems(ACMNA098) Identifies automatically and describes factors and multiples of whole numbers and uses them to solve problems (ACMNA098) Identifies and determines automatically all ‘factors’ and ‘multiples’ and beyond of a given whole number in a variety of contexts Determines some of the ‘factors’ and ‘multiples’ whole number with teacher assistance Determines some of the ‘factors’ and ‘multiples’ of a of a given whole number Determines all ‘factors’ and ‘multiples’ of a given whole number Determines automatically all ‘factors’ and ‘multiples’ of a given whole number Identifies and determines automatically the ‘highest common factor’ and the ‘lowest common factor’ of any whole numbers in a variety of contexts Determines some of the ‘highest common factor’ and the ‘lowest common factor’ of two whole numbers with teacher assistance Determines some of the ‘highest common factor’ and the ‘lowest common factor’ of two whole numbers Determines the ‘highest common factor’ and the ‘lowest common factor’ of two whole numbers Determines automatically all ‘highest common factor’ and the ‘lowest common factor’ of two whole numbers Identifies and determines automatically the ‘highest common factor’ and the ‘lowest common factor’ of any whole numbers in a variety of contexts Addition and Subtraction 1 Outcomes Content descriptor Limited Basic Sound High Outstanding
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size MA3-5NA Use efficient mental and written strategies and apply appropriate digital technologies to solve problems Selects and applies some efficient mental, written and calculator strategies to solve addition and subtraction problems with concrete materials and with teacher assistance Selects and applies some efficient mental, written and calculator strategies to solve addition and subtraction problems with concrete materials Selects and applies efficient mental, written and calculator strategies to solve addition and subtraction problems Selects and applies efficient mental, written and calculator strategies to solve mixed addition and subtraction problems in a variety of situations Uses, selects and applies efficient mental, written and calculator strategies to solve complex mixed addition and subtraction problems in familiar and unfamiliar situations Use estimation and rounding to check the of answers to calculations. (ACMNA099) Uses estimation and rounding to check some of the reasonableness of answers to calculations with teacher assistance Uses estimation and rounding to check some of the reasonableness of answers to calculations with concrete materials Uses estimation and rounding to check the reasonableness of answers to calculations Uses estimation and rounding to check the reasonableness of answers to mixed calculations with a high degree of accuracy Uses estimation and rounding to check the reasonableness of answers to complex calculations with a high degree of accuracy Can create simple financial Creates a basic financial plan using scaffold with teacher assistance Creates basic financial plans using a scaffold Creates simple financial plans Creates simple financial plans with a high degree of accuracy Creates complex financial plans with a high degree of accuracy within familiar and unfamiliar contexts Multiplication and Division 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and applies appropriate strategies for multiplication and division, and applies the order of Solve problems involving multiplication of large numbers by one- or Solves some problems involving multiplication of large numbers by one- or two-digit numbers using mental and written strategies with teacher assistance Solves some problems involving multiplication of large numbers by one- or two-digit numbers using some efficient mental and written strategies Solves problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies Solves complex problems involving multiplication of large numbers by one- or numbers using efficient mental and written strategies Solves complex mixed problems involving multiplication of large numbers by one- or numbers using efficient mental and written strategies
operations to calculations involving more than one operation MA3-6NA numbers using efficient mental and written strategies and appropriate digital technologies (ACMNA100) Solves some problems involving multiplication of large numbers by one-or two using some appropriate digital technologies with teacher assistance Solves some problems involving multiplication of large numbers by one-or digit numbers using some appropriate digital technologies Solves problems involving multiplication of large numbers by one-or-two-digit numbers using appropriate digital technologies Solves complex problems involving multiplication of large numbers by one - or two-digit numbers using appropriate digital technologies with an increasing degree of accuracy Solves complex mixed problems involving multiplication of large numbers by one-or numbers using appropriate digital technologies with a high degree of accuracy Solve problems involving division by a one-digit number, including those that result in a remainder Solves some problems involving division by a one-digit number, including those that result in a remainder using concrete materials and with teacher assistance Solves some problems involving division by a one-digit number, including those that result in a remainder using concrete materials Solves problems involving division by a one-digit number, including those that result in a remainder Solves complex problems involving division by a one-digit number, including those that result in a remainder with increasing accuracy and automaticity Solves mixed complex problems involving division by a one-digit number, including those that result in a remainder with a high level of accuracy and automaticity in familiar and unfamiliar contexts Fractions and Decimals 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Compares, orders and calculates with fractions, decimals and percentages MA3-7NA Can compare and order common unit fractions and locate and represent them on a number line Models, compares and represents fractions with denominators of 2, 4, 5 and 8 of with teacher assistance Models, compares and represents some fractions with denominators of 2, 4 and 8; 3 and 6; and 5, 10 and 100 Models, compares and orders common unit fractions with denominators 2,3,4,5,6, 8 10, 12, 100 on a number line Models, compares, investigates and orders common unit fractions with denominators 2,3,4,5,6, 8 10, 12, 100 on a number line Accurately compares, investigates, explains and orders common unit fractions with denominators 2,3,4,5,6, 8 10, 12, 100
Compare, order and decimals Compares, orders and represents some decimals on a number line with teacher assistance Compares, orders and represents some decimals on a number line 0-1 Compares, orders and represents decimals up to 3 decimals and places on a number line 0-1 Compares, orders, represents and applies to 3 decimals places and beyond on a number line 0-1 Compares, orders, represents and applies to 3 or more decimal places and beyond to complex and unfamiliar problems Patterns and Algebra 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the cartesian plane Describe, continue and create patterns with fractions
Length 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters and converts between units of length Choose appropriate units of for length Chooses some appropriate units of measurement for length with teacher assistance Chooses some appropriate units of measurements for length Chooses appropriate units of measurement for length Chooses and applies appropriate units of measurement in a variety of familiar contexts Chooses and applies appropriate units of measurement in a variety of unfamiliar contexts Recognises the need for a formal unit longer than a metre in some settings with teacher assistance Recognises the need for a formal unit longer than a metre in some context Recognises the need for a formal unit longer than a metre Recognises, estimates and applies the need for a formal unit longer than a metre Recognises, estimates and applies the need for a formal unit longer that a metre in a variety of unfamiliar contexts Recognises there is 1000 metres in 1 kilometre and uses the abbreviation km in some settings with teacher assistance Recognises there is 1000 metres in 1 kilometre and uses the abbreviation km in some problems Recognises there is 1000 metres in 1 kilometre and uses the abbreviation km Recognises, estimates and applies there is 1000 metres in 1 kilometre and uses the abbreviation km Recognises , estimates and applies there is 1000 metres in 1 kilometre and uses the abbreviation km in a variety of unfamiliar context Selects and uses appropriate unit and measuring devices to measure some lengths and distances using kilometres and half kilometres with teacher assistance Selects and uses appropriate unit and measuring devices to measure some lengths and distances using kilometres and half kilometres Selects and uses appropriate unit and measuring devices to measure lengths and distances using kilometres and half kilometres Selects and uses appropriate unit and measuring devices to measure lengths and distances using kilometres and half kilometres in a variety of contexts Selects and uses appropriate unit and measuring devices to measure lengths and distances using kilometres and half kilometres in a variety of unfamiliar contexts
Records some lengths and distances using combinations of millimetres, centimetres, metres and kilometres with teacher assistance Records some lengths and distances using combinations of millimetres, centimetres, metres and kilometres Records lengths and distances using combinations of millimetres, centimetres, metres and kilometres Records complex lengths and distances using combinations of millimetres, centimetres, metres and kilometres Records complex lengths and distances using combinations of millimetres, centimetres, metres and kilometres in a variety of unfamiliar contexts Calculate the perimeters of rectangles using familiar metric units Calculates the perimeters of rectangles using some familiar metric units with teacher assistance Calculates the perimeters of rectangles using some familiar metric units Calculates the perimeters of rectangles using familiar metric units Calculates, applies and explains the perimeters of rectangles using familiar metric units Calculates, applies and explains the perimeters of rectangles using familiar metric units in a variety of unfamiliar contexts Calculates the perimeter of some common shapes including squares rectangles, triangles and regular polygons with four or more sides with teacher assistance Calculates the perimeter of some common shapes including squares rectangles, triangles and regular polygons with four or more sides Calculates the perimeter of common two-dimensional shapes including squares rectangles, triangles and regular polygons with four or more sides Calculates and applies the perimeter of complex shapes including squares rectangles, triangles and regular polygons with four or more sides Calculates and applies the perimeter of complex shapes including squares rectangles, triangles and regular polygons with four or more sides in a variety of unfamiliar contexts Area 1 Outcomes Content descriptor Limited Basic Sound High Outstanding
Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles MA3-10MG Choose appropriate units of for area Recognises the need for a formal unit larger than a square metre in some content with teacher assistance Recognises the need for a formal unit larger than a square metre in some content Recognises the need for a formal unit larger than a square metre Recognises and applies the need for a formal unit larger than a square metre in a variety of contexts Recognises and applies the need for a formal unit larger than a square metre in a variety of unfamiliar contexts Identify situations where square kilometres are used for measuring area in some content with teacher assistant Identify situations where square kilometres are used for measuring area in some content Identify situations where square kilometres are used for measuring area Identify situations where square kilometres are used for measuring area in a variety of contexts Identify situations where square kilometres are used for measuring area in a variety of unfamiliar contexts Recognises that there are 10 000 square metres in one hectare in some contexts with teacher assistance Recognises that there are 10 000 square metres in one hectare in some contexts Recognises that there are 10 000 square metres in one hectare Recognises that there are 10 000 square metres in one hectare in a variety of contexts Recognises that there are 10 000 square metres in one hectare in a variety of unfamiliar contexts Record areas using the abbreviation for square kilometres (km²) and hectares (ha) in some context with teacher assistance Record areas using the abbreviation for square kilometres (km²) and hectares (ha) in some context Record areas using the abbreviation for square kilometres (km²) and hectares (ha) Record areas using the abbreviation for square kilometres (km²) and hectares (ha) in a variety of contexts Record areas using the abbreviation for square kilometres (km²) and hectares (ha) in a variety of unfamiliar contexts Calculate the areas of rectangles using familiar Establishes the lengths, widths and areas of rectangles and records finding (using length x width) the area of the Establishes the lengths, widths and areas of rectangles and records finding (using length x width) the area of the Establishes the lengths, widths and areas of rectangles and records finding (using length x width) the area of the Establishes the lengths, widths and areas of rectangles and records finding (using length x width) the area of the Establishes the lengths, widths and areas of rectangles and records finding (using length x width) the area of the
Mass 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass Choose appropriate unit of for mass Recognises the need for a formal unit larger than the kilogram in some contexts with teacher assistance Recognises the need for a formal unit larger than the kilogram in some contexts Recognises the need for a formal unit larger than the kilogram Recognises the need for a formal unit and applies knowledge larger than the kilogram in a variety of contexts Recognises the need for a formal unit and applies knowledge larger than the kilogram in a variety of unfamiliar contexts Uses the tonne to record large masses and use abbreviation for tonnes (t) in some contexts with teacher assistance Uses the tonne to record large masses and use abbreviation for tonnes (t) in some context Uses the tonne to record large masses and use abbreviation for tonnes (t) Uses and applies the tonne to record large masses and use abbreviation for tonnes (t) in a variety of contexts Uses and applies the tonne to record large masses and use abbreviation for tonnes (t) in a variety of unfamiliar contexts Distinguishes between the ‘gross mass’ and ‘net mass’ of containers holding substances in some context with teacher assistance Distinguishes between the ‘gross mass’ and ‘net mass’ of containers holding substances in some contexts Distinguishes between the ‘gross mass’ and ‘net mass’ of containers holding substances Distinguishes between the ‘gross mass’ and ‘net mass’ of containers holding substances in a variety of contexts Distinguishes between the ‘gross mass’ and ‘net mass’ of containers holding substances in a variety of unfamiliar contexts Selects and uses the appropriate unit and device to measure mass in some contexts with teacher assistance Selects and uses the appropriate unit and device to measure mass in some contexts Selects, records and uses the appropriate unit and device to measure mass Selects, records and uses the appropriate unit and device to measure mass in a variety of contexts Selects, records and uses the appropriate unit and device to measure mass in a variety of unfamiliar
contexts Time 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses time and am and pm notation in real-life situation, and constructs timelines MA3-13MG Compare 12- and time systems and convert between them Tells the time accurately using time in some contexts and with teacher assistance Tells the time accurately using time in some contexts Tells the time accurately using time Tells the time accurately using time in a variety of contexts Tells the time accurately using time in a variety of unfamiliar contexts Covert between time and time given using am and pm notation in some contexts with teacher assistance Coverts between time and time given using am and pm notation in some contexts Coverts between time and time given using am and pm notation Coverts between time and time given using am and pm notation in a variety of contexts Coverts between time and time given using am and pm notation in a variety of unfamiliar contexts Compares local times in various time zones in Australia including daylight saving in some contexts with teacher assistance Compares local times in various time zones in Australia including daylight saving in some contexts Compares local times in various time zones in Australia including daylight saving Compares and analyses local times in various time zones in Australia including daylight saving in a variety of contexts Compares and analyses local times in various time zones in Australia including daylight saving in a variety of unfamiliar contexts Determine and compare the duration of events Selects an appropriate unit of time to measure a particular period of time in some contexts with teacher assistance Selects an appropriate unit of time to measure a particular period of time in some contexts Selects an appropriate unit of time to measure a particular period of time Selects an appropriate unit of time to measure a particular period of time in a variety of contexts Selects an appropriate unit of time to measure a particular period of time in a variety unfamiliar contexts
Uses a stopwatch to measure and compare the duration of events in some contexts with teacher assistance Uses a stopwatch to measure and compare the duration of events in some contexts Uses a stopwatch to measure and compare the duration of events Uses a stopwatch to measure and compare the duration of events in a variety of contexts Uses a stopwatch to measure and compare the duration of events in a variety of unfamiliar contexts Orders a series of events according to the time taken to complete each one in some contexts with teacher assistance Orders a series of events according to the time taken to complete each one in some contexts Orders a series of events according to the time taken to complete each one Orders and analyses a series of events according to the time taken to complete each one in a variety of contexts Orders and analyses a series of events according to the time taken to complete each one in a variety of unfamiliar contexts Uses start and finish times to calculate the time of events in some contexts with teacher assistance Uses start and finish times to calculate the time of events in some contexts Uses start and finish times to calculate the time of events Uses start and finish times to calculate the time of events in a variety of contexts Uses start and finish times to calculate and analyse the time of events in a variety of unfamiliar contexts Three Dimensional Space 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Identifies objects, including prisms and pyramids, Compare, describe and name prisms and pyramids Identifies and determines the number of pairs of parallel faces of some objects in some context with teacher assistance Identifies and determines the number of pairs of parallel faces of some objects Identifies and determines the number of pairs of parallel faces of three-dimensional objects Identifies and determines the number of pairs of parallel faces of three-dimensional objects in a variety of contexts Identifies and determines the number of pairs of parallel faces of three-dimensional objects in a variety of unfamiliar contexts
Two Dimensional Space 1 Outcomes Content descriptor Limited Basic Sound High Outstanding classifies and draws shapes including equilateral, isosceles and scalene triangles and describes their properties MA3-15MG Classifies shapes and describes their features Manipulates, identifies names and compares some right-angled, equilateral, isosceles and scalene triangles with teacher assistance Manipulates, identifies names and compares some right-angled, equilateral, isosceles and scalene triangles Manipulates, identifies names and compares right-angled, equilateral, isosceles and scalene triangles Manipulates, identifies names and compares right-angled, equilateral, isosceles and scalene triangles in a variety of contexts Manipulates, identifies names and compares right-angled, equilateral, isosceles and scalene triangles in a variety of unfamiliar contexts Explores by measuring some side and angle properties of some equilateral, isosceles and scalene triangles with teacher assistance Explores by measuring some side and angle properties of some equilateral, isosceles and scalene triangles Explores by measuring side and angle properties of equilateral, isosceles and scalene triangles Explores by measuring side and angle properties of equilateral, isosceles and scalene triangles in a variety of contexts Explores by measuring side and angle properties of equilateral, isosceles and scalene triangles in a variety of unfamiliar contexts Explores by measuring side and angle properties of some squares, rectangles and parallelograms and rhombuses with teacher assistance Explores by measuring side and angle properties of some squares, rectangles and parallelograms and rhombuses Explores by measuring side and angle properties of squares, rectangles and parallelograms and rhombuses Explores by measuring side and angle properties of squares, rectangles and parallelograms and rhombuses in a variety of contexts Explores by measuring side and angle properties of squares, rectangles and parallelograms and rhombuses in a variety of unfamiliar contexts Selects and classifies some two-dimensional shape from a description of its features with teacher Selects and classifies some two-dimensional shape from a description of its features Selects and classifies a two-dimensional shape from a description of its features Selects, classifies and analyses various shapes from a description of their features in a Selects, classifies and analyses various shapes from a description of their features in a variety of unfamiliar
assistance variety of contexts contexts Provides description for other students Identifies and draws some regular and irregular shapes from descriptions of their side and angle properties with teacher assistance Identifies and draws some regular and irregular shapes from descriptions of their side and angle properties Identifies and draws regular and irregular two-dimensional shapes from descriptions of their side and angle properties Identifies, draws and analyses regular and irregular shapes from descriptions of their side and angle properties in a variety of contexts Identifies, draws and analyses regular and irregular shapes from descriptions of their side and angle properties in a variety of unfamiliar contexts Describe translations, reflections and rotations of a shape using the terminology Uses some of the terms 'translate', 'reflect' and 'rotate' to describe the movement of shapes with teacher assistance Uses some of the terms 'translate', 'reflect' and 'rotate' to describe the movement of shapes Uses the terms 'translate', 'reflect' and 'rotate' to describe the movement of shapes Uses the terms 'translate', 'reflect' and 'rotate' to describe the movement of shapes in a variety of contexts Uses the terms 'translate', 'reflect' and 'rotate' to describe the movement of shapes in a variety of unfamiliar contexts Describes some of the effect when a shape is translated, reflected or rotated, eg when a vertical arrow is rotated 90°, the resulting arrow is horizontal with teacher assistance Describes some of the effect when a shape is translated, reflected or rotated, eg when a vertical arrow is rotated 90°, the resulting arrow is horizontal Describes the effect when a shape is translated, reflected or rotated, eg when a vertical arrow is rotated 90°, the resulting arrow is horizontal Describes the effect when a shape is translated, reflected or rotated, eg when a vertical arrow is rotated 90°, the resulting arrow is horizontal in a variety of contexts Describes the effect when a shape is translated, reflected or rotated, eg when a vertical arrow is rotated 90°, the resulting arrow is horizontal in a variety of unfamiliar contexts w
assistance contexts unfamiliar contexts Identifies and describes angle size in degrees for each of the classifications, acute, obtuse and reflex with teacher assistance Identifies and describes angle size in degrees for each of the classifications, acute, obtuse and reflex Identifies and describes angle size in degrees for each of the classifications, acute, obtuse and reflex Identifies and describes angle size in degrees for each of the classifications, acute, obtuse and reflex in a variety of contexts Identifies and describes angle size in degrees for each of the classifications, acute, obtuse and reflex in a variety unfamiliar contexts Estimates some angles in degrees and checks by measures and is accurate with teacher assistance Estimates some angles in degrees and checks by measures and is accurate Estimates angles in degrees and checks by measures Estimates angles in degrees and checks by measures and is accurate in a variety of contexts Estimates angles in degrees and checks by measures and is accurate in a variety of unfamiliar contexts Position 1 Outcomes Content descriptor Limited Basic Sound High Outstanding Locates and describes position on maps using a system MA3-17MG Use a system to describe locations Finds some locations on maps, including maps with legends, given their grid references with teacher assistance Finds some locations on maps, including maps with legends, given their grid references Finds locations on maps, including maps with legends, given their grid references Finds locations on maps, including maps with legends, given their grid references in a variety of contexts Finds locations on maps, including maps with legends, given their grid references in a variety of unfamiliar contexts Describes some particular locations on grid-referenced maps, including maps with a Describes some particular locations on grid-referenced maps, Describes particular locations on maps, Describes particular locations on maps, Describes particular locations on maps,
Mathematics Syllabus Stage Three Year Six Number and Algebra Whole Number 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Orders, reads and represents integers of any size and describes properties of whole numbers MA3-4NA Investigate everyday situations that use integers; locate and represent these numbers on a number line (ACMNA124) Identifies and reads some integers to order and represent positive and negative integers on a number line with teacher assistance Identifies and reads some integers to order and represent positive and negative integers on a number line Identifies, reads, orders and represents positive and negative integers in everyday situations and on a number line Identifies, reads, orders, represents and applies positive and negative integers in everyday situations and on a number line Identifies, reads, orders, applies and represents more complex positive and negative integers in complex everyday situations and on an infinite number line Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122) Identifies and describes some factors of prime and composite numbers with teacher assistance Identifies and describes some factors of prime and composite numbers Identifies and describes properties of prime and composite numbers Identifies, applies and describes properties of more complex prime and composite numbers Identifies, applies and describes properties of increasingly more complex prime and composite numbers to complex everyday situation
Identifies and describes some numbers and larger square and triangular numbers with or without concrete materials with teacher assistance Identifies and describes some numbers and larger square and triangular numbers with or without concrete materials Identifies and describes properties of square and triangular numbers Identifies, applies and describes properties of square and triangular numbers Identifies, applies and describes properties of square and triangular numbers in a variety of situations Addition and Subtraction 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size MA3-5NA Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers (ACMNA123 Beginning to select, explain, and apply mental and written strategies to solve problems with teacher assistance Selects, explains and applies some efficient mental and written strategies to solve problems involving addition and subtraction using whole numbers Selects, explains, and applies efficient mental and written strategies to solve problems involving addition and subtraction using whole numbers Selects, explains, and applies efficient mental and written strategies to solve complex problems involving addition and subtraction using whole numbers in a variety of contexts Selects, explains, and applies efficient mental and written strategies to solve on complex and unfamiliar problems involving addition and subtraction using whole numbers
Selects and applies some efficient mental and written strategies to solve problems involving addition and subtraction using whole numbers with and without appropriate digital technologies and with teacher assistance Selects, explains, and applies some efficient mental and written strategies to solve problems involving addition and subtraction using whole numbers with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve problems involving addition and subtraction using whole numbers with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve complex problems involving addition and subtraction using whole numbers with and with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve on complex and unfamiliar problems involving addition and subtraction using whole numbers with and without appropriate digital technologies Multiplication and Division 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and applies appropriate strategies for and division, and applies the order of Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication Selects, explains, and applies some efficient mental and written strategies to solve problems involving multiplication and division using whole numbers with teacher assistance Selects, explains, and applies some efficient mental and written strategies to solve problems involving multiplication and division using whole numbers Selects, explains, and applies efficient mental and written strategies to solve problems involving multiplication and division using whole numbers Selects, explains, and applies efficient mental and written strategies to solve complex word problems involving multiplication and division using whole numbers Selects, explains, and applies efficient mental and written strategies to solve complex and unfamiliar problems involving multiplication and division using whole numbers
operations to calculations involving more than one operation MA3-6NA and division with whole numbers (ACMNA123) Selects, explains, and applies some efficient mental and written strategies to solve problems involving multiplication and division using whole numbers with and without appropriate digital technologies with teacher assistance Selects, explains, and applies some efficient mental and written strategies to solve problems involving multiplication and division using whole numbers with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve problems involving multiplication and division using whole numbers with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve complex problems involving multiplication and division using whole numbers with and without appropriate digital technologies Selects, explains, and applies efficient mental and written strategies to solve complex and unfamiliar problems involving multiplication and division using whole numbers with and without appropriate digital technologies Explore the use of brackets and the order of operations to write number sentences (ACMNA134) Investigates and establishes some order of operations with teacher assistance Investigates and establishes some order of operations Investigates and establishes order of operations Investigates, applies and establishes order of operations for complex number sentences Investigates, applies and establishes order of operations for complex and unfamiliar number sentences Investigates and establishes some order of operations using real life contexts with teacher assistance Investigates and establishes some order of operations using real life contexts Investigates and establishes order of operations using real life contexts Investigates, applies and establishes order of operations using real life complex contexts Investigates, applies and establishes order of operations using real life complex and unfamiliar contexts Writes some numbers sentences to represent real life situations involving mixed operations and grouping symbols with and without the use of technology with teacher assistance Writes some numbers sentences to represent real life situations involving mixed operations and grouping symbols with and without the use of technology Writes numbers sentences to represent real life situations involving mixed operations and grouping symbols with and without the use of technology Writes complex numbers sentences to represent real life situations involving mixed operations and grouping symbols with and without the use of technology Writes complex and unfamiliar numbers sentences to represent real life situations involving mixed operations and grouping symbols with and without the use of technology
Fractions and Decimals 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Compares, orders and calculates with fractions, decimals and percentages Compare fractions with related denominators and locate and represent them on a number line (ACMNA125) Compares, orders and records simple fractions using diagrams, number line or equivalent fractions. Uses mental strategies (mult. or div.) to find equivalent fractions and write them in their simplest form. Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126) Solves addition and subtraction problems. Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies (ACMNA127) Finds a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies Add and subtract Adds and subtracts
decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128) decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of their answers Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies (ACMNA129) Multiplies decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies Multiply and divide decimals by powers of 10 (ACMNA130) Multiplies and divides some decimals by 10 and 100 using concrete materials and with teacher assistance Multiplies and divides some decimals by 10 , 100 and 1000 Multiplies and divides decimals by powers of 10, 100 and 1000 Multiplies and divides decimals by powers of 10, 100 and 1000 in a variety of contexts Solves word problems by multiplying and dividing decimals by powers of 10 to 1000 Multiplies and divides decimals by powers of 10 to complex and unfamiliar contexts Solves complex and unfamiliar word problems by multiplying and dividing decimals by powers of 10 to 1000 in a variety of unfamiliar contexts Make connections between equivalent fractions, Recognises and makes some connections between equivalent fractions, decimals and Recognises and makes some connections between equivalent fractions, decimals and Makes connections between equivalent fractions, decimals and percentages eg 25/100 = 25% = Makes, reflects and explains connections between equivalent fractions, decimals and percentages in a Makes, reflects, explains, interprets and represents connections between equivalent fractions,
decimals and percentages (ACMNA131) percentages with teacher assistance percentages 0.25 variety of contexts decimals and percentages in complex and unfamiliar contexts Relates some of fractions and use in everyday contexts with teacher assistance Relates some of fractions and use in everyday contexts Relates the use of fractions in everyday contexts Relates, interprets and applies the use of fractions in everyday and variety of contexts eg/ ¾ hour = 45 mins Relates, interprets and applies the use of fractions in unfamiliar contexts eg/ ¾ hour 45 mins Represents some percentages 25, 50 and 75% in everyday contexts with teacher assistance Represents some percentages 25, 50 and 75% in everyday contexts Represents percentages 25, 50 and 75% in everyday contexts Represents and explains percentages 25, 50 and 75% in a variety of contexts Represents, explains and interprets percentages in a variety of unfamiliar contexts Represents some decimals as fractions with teacher assistance e.g. 1.37=137%=137/100 Represents some decimals as fractions e.g. 1.37=137%=137/100 Represents decimals as fractions e.g. 1.37=137%=137/100 Represents and explains decimals as fractions in a variety of contexts e.g. 1.37=137%=137/100 Represents, explains and interprets decimals as fractions e.g. 1.37=137%=137/100 Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items with and without the use of digital technologies (ACMNA132) Investigates and calculates some percentage discounts of 150% on simple numbers and with concrete material and teacher assistance Investigates and calculates some percentage discounts of 10%, 25% and 50% on simple numbers Investigates and calculates percentage discounts of 10%, 25% and 50% on sale items Investigates, applies and calculates percentage discounts of 10%, 25% and 50% on complex problems on sale items Investigates, applies and calculates on complex and unfamiliar problems discounts. eg/ 12%, 35% on sale items and re-calculates the new sale price Patterns and Algebra 2 Outcomes Content descriptor Limited Basic Sound High Outstanding
Analyses and creates geometric and number patterns, constructs and completes number sentences and locates points on the cartesian plane Continue and create sequences involving whole numbers, fractions and decimals; describe the rule used to create the sequence (ACMNA133) Continue and create sequences involving whole numbers, fractions and decimals; describe the rule used to create the sequence (ACMNA133) Introduce the Cartesian coordinate system using all four quadrants (ACMMG143) Introduce the Cartesian coordinate system using all four quadrants (ACMMG143)
Convert between common metric units of length (ACMMG136) Recognises the difference between metres and kilometres Converts between some metres and kilometres Converts between metres and kilometres Applies and converts between metres and kilometres to a variety of contexts Applies and converts between metres and kilometres to a variety of familiar and unfamiliar contexts Compares lengths and distances in millimetres , centimetres and metres Converts between some millimetres, centimetres and metres to compare some lengths and distance Converts between millimetres, centimetres and metres to compare lengths and distances Converts between millimetres, centimetres and metres to compare lengths and distances to a variety of contexts Converts between millimetres, centimetres and metres to compare lengths and distances in a variety of familiar and unfamiliar contexts Solve problems involving the comparison of lengths using appropriate units (ACMMG137) Identifies perimeters of rectangles Investigates and compares some perimeters of rectangles with the same area Investigates and compares perimeters of rectangles with the same area Investigates and compares perimeters of multiple rectangles with the same area Investigates, compares and analyses perimeters of multiple rectangles with the same area Solves problems involving length and perimeter with teacher assistance Solves some problems involving length and perimeter, including problems involving different units of length, eg 'Find the total length of three items measuring 5 mm, 20 cm and 1.2 m' with teacher assistance Solves a variety of problems involving length and perimeter, including problems involving different units of length, eg 'Find the total length of three items measuring 5 mm, 20 cm and 1.2 m' Solves a variety of problems involving length and perimeter, including problems involving different units of length, eg 'Find the total length of three items measuring 5 mm, 20 cm and 1.2 m' to a variety of contexts Solves a variety of problems of increasing complexity involving length and perimeter, including problems involving different units of length applied to a variety of real life and unfamiliar contexts
Area 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles Solve problems involving the comparison of areas using appropriate units (ACMMG137) Explores the relationship between the area of a triangle and the area of the rectangle of the same length and perpendicular height using concrete materials with teacher assistance Explains the relationship between the area of a triangle and the area of the rectangle of the same length and perpendicular height using concrete materials eg use a copy of the given triangle with the given triangle to form a rectangle Explains the relationship between the area of a triangle and the area of the rectangle of the same length and perpendicular height Explains and applies the relationship between the area of a triangle and the area of the rectangle of the same length and perpendicular height Explains and applies the relationship between the area of a triangle and the area of the rectangle of the same length and perpendicular height in a variety on contexts Establishes the relationship between the base length, perpendicular height and area of a triangle with teacher assistance Establishes the relationship between the base length, perpendicular height and area of a triangle by recording, using words, the method for finding the area of any triangle, with teacher assistance Establishes the relationship between the base length, perpendicular height and area of a triangle by recording, using words, the method for finding the area of any triangle, eg 'Area of triangle = 1 /2 x base x perpendicular height Establishes and applies the relationship between the base length, perpendicular height and area of a triangle by recording, using words, the method for finding the area of any triangle in a variety of contexts Establishes and applies the relationship between the base length, perpendicular height and area of a triangle by recording, using words, the method for finding the area of any triangle, and applies knowledge in a variety of familiar and unfamiliar contexts
Investigates and compares the areas of some rectangles that have the same perimeter, eg compare the areas of all possible rectangles with whole-number dimensions and a perimeter of 20 centimetres with teacher assistance Investigates and compares the areas of some rectangles that have the same perimeter, eg compare the areas of all possible rectangles with whole-number dimensions and a perimeter of 20 centimetres Investigates and compares the areas of rectangles that have the same perimeter, eg compare the areas of all possible rectangles with whole-number dimensions and a perimeter of 20 centimetres Investigates, compares and applies the areas of rectangles that have the same perimeter, eg compare the areas of all possible rectangles with whole-number dimensions and a perimeter of 20 centimetres in a variety of contexts Investigates and compares the areas of rectangles that have the same perimeter and determines the number of different rectangles that can be formed using whole-number dimensions for a given perimeter in a variety of familiar and unfamiliar contexts Solves some problems involving the areas of rectangles (including squares) and triangles with teacher assistance Solves some problems involving the areas of rectangles (including squares) and triangles Solves a variety of problems involving the areas of rectangles (including squares) and triangles Solves and explains a variety of problems involving the areas of rectangles (including squares) and triangles in a variety of contexts Solves, explains and interprets a variety of problems of increasing complexity involving the areas of rectangles (including squares) and triangles within a real life and unfamiliar contexts Volume and Capacity 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and uses the appropriate unit to estimate measure and calculate Connect volume and capacity and their units of measurement Connects, selects, demonstrates and finds some volume and capacity and Connects, selects, demonstrates and finds some volume and capacity and Connects, selects, demonstrates and finds volume and capacity and their Connects, selects, demonstrates, finds and equates volume and capacity and Connects, selects, demonstrates, finds, equates and applies volume and capacity
volumes and capacities, and converts between units of capacity. MA3-11MG (ACMMG138) their units of measurement using concrete materials and with teacher assistance their units of measurement units of measurement their units of measurement in a variety of contexts and their units of measurement to unfamiliar contexts Connect decimal representations to the metric system (ACMMG135) Connects some decimal representations to the metric system using concrete materials and with teacher assistance Connects some decimal representations to the metric system Connects decimal representations to the metric system Connects, selects and interprets decimal representations to the metric system in a variety of contexts Connects, selects and interprets decimal representations to the metric system up to three decimal places in unfamiliar contexts Convert between common metric units of capacity. (ACMMG136) Converts between simple common metric units of capacity using concrete materials and with teacher assistance Converts between some common metric units of capacity Converts between common metric units of capacity Converts and interprets common metric units of capacity in a variety of contexts Converts, interprets and provides reasoning when converting common metric units of capacity in unfamiliar contexts
Calculate the volumes of rectangular prisms. (ACMMG160) Calculates the volumes of some rectangular prisms using concrete materials and with teacher assistance using repeated addition for repeated layers Calculates the volumes of some rectangular prisms with or without teacher assistance using repeated addition for repeated layers Calculates the volumes of rectangular prisms Calculates, constructs and applies a formula to determine the volume of rectangular prisms for a variety of contexts Calculates, constructs and applies a formula to determine the volume of rectangular prisms with varying dimensions for a variety of familiar and unfamiliar contexts Mass 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass MA3-12MG Connect representations to the metric system (ACMMG135) Recognises the equivalence of some whole-number representations of measurements of mass and with teacher assistance Recognises the equivalence of some whole-number and decimal representations of measurements of mass Recognises the equivalence of whole-number and decimal representations of measurements of mass, eg 3 kg 250 g is the same as 3.25 kg Recognises and applies the equivalence of whole-number and decimal representations of measurements of mass, to a variety of real life contexts Recognises, applies and analyses the equivalence of whole-number and decimal representations of measurements of mass, to a variety of real life and unfamiliar contexts Explores masses with teacher assistance Interprets some decimal notation for masses, eg 2.08 kg is the same as 2 kilograms and 80 grams Interprets decimal notation for masses, eg 2.08 kg is the same as 2 kilograms and 80 grams Interprets and applies decimal notation for masses, eg 2.08 kg is the same as 2 kilograms and 80 grams, to a variety of real life contexts Interprets and applies decimal notation for masses, eg 2.08 kg is the same as 2 kilograms and 80 grams, to a variety of real life and unfamiliar contexts
Measures mass using scales in whole kilograms and with teacher assistance Measures some mass using scales and record using decimal notation of up to three decimal places, eg 0.875 kg Measures mass using scales and record using decimal notation of up to three decimal places, eg 0.875 kg Measures and applies mass using scales and record using decimal notation of up to three decimal places, eg 0.875 kg, in a variety of contexts Measures and applies mass using scales and record using decimal notation of up to three decimal places, eg 0.875 kg, in a variety of unfamiliar contexts Convert between common metric units of mass (ACMMG136) Recognises the difference between kilograms and grams and between kilograms and tonnes with teacher assistance Converts between some kilograms and grams and between kilograms and tonnes Converts between kilograms and grams and between kilograms and tonnes Converts between kilograms and grams and between kilograms and tonnes, and applies knowledge to a variety of contexts Converts and explains between kilograms and grams and between kilograms and tonnes, and applies knowledge to a variety of unfamiliar contexts Solves some problems involving same units of mass, eg find the total mass of three items weighing 50 g, 70 g and 25 g with teacher assistance Solves some problems involving different units of mass, e.g. find the total mass of three items weighing 50 g, 750 g and 2.5 kg Solves problems involving different units of mass, e.g. find the total mass of three items weighing 50 g, 750 g and 2.5 kg Solves a variety of problems with increasing difficulty involving different units of mass, e.g. find the total mass of three items weighing 50 g, 750 g and 2.5 kg in a variety of contexts Solves a variety of problems, including word based, with increasing difficulty involving different units of mass, e.g. find the total mass of three items weighing 50 g, 750 g and 2.5 kg in a variety of familiar and unfamiliar contexts
Identifies the mass of one litre of water and identifies one kilogram Relates the mass of one litre of water to one kilogram, with teacher assistance Relates the mass of one litre of water to one kilogram Relates and applies the mass of one litre of water to one kilogram Relates and applies the mass of one litre of water to one kilogram in a variety of unfamiliar contexts Time 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Uses 24-hour time and am and pm notation in real-life situations, and constructs timelines MA3-13MG Interpret and use timetables (ACMMG139) Reads, interprets and uses timetables with teacher assistance Reads, interprets and uses some timetables from real-life situations, including those involving 24-hour time Reads, interprets and uses timetables from real-life situations, including those involving time Reads, interprets and uses timetables of increasing complexity, from real-life situations, including those involving 24-hour time in a variety of contexts Reads, interprets, uses and creates timetables, from real-life and unfamiliar contexts including those involving 24-hour time Uses simple timetables, to prepare a basic travel itinerary, with teacher assistance Uses some bus, train, ferry and airline timetables, including those on the internet, to prepare simple travel itineraries Uses bus, train, ferry and airline timetables, including those on the internet, to prepare simple travel itineraries Uses bus, train, ferry and airline timetables, including those on the internet, to solve problems and prepare simple travel itineraries in a variety of contexts Uses bus, train, ferry and airline timetables, including those on the internet, to solve unfamiliar problems and prepare travel itineraries
Draw and interpret timelines using a given scale Determines a suitable scale and attempts to draw a timeline using the scale with teacher assistance Determines a suitable scale and attempts to draw a timeline using the scale Determines a suitable scale and draws an accurate timeline using the scale, eg represent events using a many-to-one scale of 1 cm = 10 years Determines and applies scale and draws an accurate timeline using the scale in a variety of contexts Determines and applies a more complex scale and draws an accurate timeline within a variety of familiar and unfamiliar contexts Interprets a simple given timeline with teacher assistance Interprets some timelines using the given scale Interprets a given timeline using the given scale Interprets and explains a complex given timeline using the given scale in a variety of contexts Interprets and explains a detailed timeline using a complex given scale in a variety of familiar and unfamiliar contexts Three Dimensional 2 Outcomes Content descriptor Limited Basic Sound High Outstanding Two Dimensional 2