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Australian Curriculum, Version 9.0: Year 3
Skills available for Australia year 3 math objectives
Strand
  • Number
  • Algebra
  • Measurement
  • Space
  • Statistics
  • Probability
Print skill plan
Number
AC9M3N01 Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
Read and write numbers
  • 1.
    Write numbers in words: up to millions
  • 2.
    Roman numerals I, V, X, L, C, D, M
Compare and order numbers
  • 3.
    Comparing numbers: up to millions
  • 4.
    Which number is largest/smallest?
  • 5.
    Put numbers in order: up to millions
Place values
  • 6.
    Place value models: up to thousands
  • 7.
    Place value names: up to millions
  • 8.
    Value of a digit: up to millions
  • 9.
    Convert to/from a number: up to millions
  • 10.
    Convert between place values: up to millions
  • 11.
    Convert from expanded form: up to millions
  • 12.
    Convert between standard and expanded form: up to millions
  • 13.
    Place value word problems: up to millions
AC9M3N01 Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
Read and write numbers
  • 1.
    Write numbers in words: up to millions
  • 2.
    Roman numerals I, V, X, L, C, D, M
Compare and order numbers
  • 3.
    Comparing numbers: up to millions
  • 4.
    Which number is largest/smallest?
  • 5.
    Put numbers in order: up to millions
Place values
  • 6.
    Place value models: up to thousands
  • 7.
    Place value names: up to millions
  • 8.
    Value of a digit: up to millions
  • 9.
    Convert to/from a number: up to millions
  • 10.
    Convert between place values: up to millions
  • 11.
    Convert from expanded form: up to millions
  • 12.
    Convert between standard and expanded form: up to millions
  • 13.
    Place value word problems: up to millions
AC9M3N02 Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5 and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole
Understand fractions
  • 1.
    Understand fractions: fraction bars
  • 2.
    Understand fractions: area models
  • 3.
    Show fractions: fraction bars
  • 4.
    Show fractions: area models
  • 5.
    Fraction review
  • 6.
    Write fractions using numbers and words
Unit fractions
  • 7.
    Unit fractions: modelling word problems
  • 8.
    Unit fractions: word problems
  • 9.
    Fractions of number lines: unit fractions
  • 10.
    Graph unit fractions on number lines
Fractions of a whole
  • 11.
    Fractions of a whole: modelling word problems
  • 12.
    Fractions of a whole: word problems
  • 13.
    Fractions of number lines
  • 14.
    Identify fractions on number lines
  • 15.
    Graph fractions on number lines
AC9M3N02 Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5 and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole
Understand fractions
  • 1.
    Understand fractions: fraction bars
  • 2.
    Understand fractions: area models
  • 3.
    Show fractions: fraction bars
  • 4.
    Show fractions: area models
  • 5.
    Fraction review
  • 6.
    Write fractions using numbers and words
Unit fractions
  • 7.
    Unit fractions: modelling word problems
  • 8.
    Unit fractions: word problems
  • 9.
    Fractions of number lines: unit fractions
  • 10.
    Graph unit fractions on number lines
Fractions of a whole
  • 11.
    Fractions of a whole: modelling word problems
  • 12.
    Fractions of a whole: word problems
  • 13.
    Fractions of number lines
  • 14.
    Identify fractions on number lines
  • 15.
    Graph fractions on number lines
AC9M3N03 Add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator
Two-digit addition
  • 1.
    Add multiples of 10
  • 2.
    Add two two-digit numbers - without carrying over
  • 3.
    Add two two-digit numbers - with carrying over
  • 4.
    Use compensation to add - up to two digits
  • 5.
    Addition input/output tables - up to two digits
  • 6.
    Add three or more numbers up to two digits each
Three-digit addition
  • 7.
    Add multiples of 100
  • 8.
    Add two numbers up to three digits
  • 9.
    Use compensation to add - up to three digits
  • 10.
    Use expanded form to add three-digit numbers
  • 11.
    Addition input/output tables - up to three digits
  • 12.
    Add three or more numbers up to three digits each
  • 13.
    Add numbers up to three digits - fill in the missing digits
Two-digit subtraction
  • 14.
    Subtract multiples of 10
  • 15.
    Subtract two two-digit numbers - without carrying over
  • 16.
    Subtract two two-digit numbers - with carrying over
  • 17.
    Use compensation to subtract - up to two digits
  • 18.
    Subtraction input/output tables - up to two digits
Three-digit subtraction
  • 19.
    Subtract multiples of 100
  • 20.
    Subtract numbers up to three digits
  • 21.
    Use compensation to subtract - up to three digits
  • 22.
    Subtraction input/output tables - up to three digits
  • 23.
    Subtract numbers up to three digits - fill in the missing digits
Mixed operations
  • 24.
    Add and subtract
  • 25.
    Fact families
AC9M3N03 Add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator
Two-digit addition
  • 1.
    Add multiples of 10
  • 2.
    Add two two-digit numbers - without carrying over
  • 3.
    Add two two-digit numbers - with carrying over
  • 4.
    Use compensation to add - up to two digits
  • 5.
    Addition input/output tables - up to two digits
  • 6.
    Add three or more numbers up to two digits each
Three-digit addition
  • 7.
    Add multiples of 100
  • 8.
    Add two numbers up to three digits
  • 9.
    Use compensation to add - up to three digits
  • 10.
    Use expanded form to add three-digit numbers
  • 11.
    Addition input/output tables - up to three digits
  • 12.
    Add three or more numbers up to three digits each
  • 13.
    Add numbers up to three digits - fill in the missing digits
Two-digit subtraction
  • 14.
    Subtract multiples of 10
  • 15.
    Subtract two two-digit numbers - without carrying over
  • 16.
    Subtract two two-digit numbers - with carrying over
  • 17.
    Use compensation to subtract - up to two digits
  • 18.
    Subtraction input/output tables - up to two digits
Three-digit subtraction
  • 19.
    Subtract multiples of 100
  • 20.
    Subtract numbers up to three digits
  • 21.
    Use compensation to subtract - up to three digits
  • 22.
    Subtraction input/output tables - up to three digits
  • 23.
    Subtract numbers up to three digits - fill in the missing digits
Mixed operations
  • 24.
    Add and subtract
  • 25.
    Fact families
AC9M3N04 Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies
Understand multiplication
  • 1.
    Count equal groups
  • 2.
    Identify multiplication expressions for equal groups
  • 3.
    Write multiplication sentences for equal groups
  • 4.
    Relate addition and multiplication for equal groups
  • 5.
    Identify multiplication expressions for arrays
  • 6.
    Write multiplication sentences for arrays
  • 7.
    Write two multiplication sentences for an array
  • 8.
    Make arrays to model multiplication
  • 9.
    Multiply using number lines
  • 10.
    Write multiplication sentences for number lines
Multiplication facts
  • 11.
    Multiplication number sentences
  • 12.
    Multiplication - facts to 10
  • 13.
    Multiplication facts up to 10 - find the missing factor
Understand division
  • 14.
    Divide by counting equal groups
  • 15.
    Write division sentences for groups
  • 16.
    Relate multiplication and division for groups
  • 17.
    Write division sentences for arrays
  • 18.
    Make arrays to model division
  • 19.
    Relate multiplication and division for arrays
  • 20.
    Divide using number lines
Division facts
  • 21.
    Division facts to 10
AC9M3N04 Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies
Understand multiplication
  • 1.
    Count equal groups
  • 2.
    Identify multiplication expressions for equal groups
  • 3.
    Write multiplication sentences for equal groups
  • 4.
    Relate addition and multiplication for equal groups
  • 5.
    Identify multiplication expressions for arrays
  • 6.
    Write multiplication sentences for arrays
  • 7.
    Write two multiplication sentences for an array
  • 8.
    Make arrays to model multiplication
  • 9.
    Multiply using number lines
  • 10.
    Write multiplication sentences for number lines
Multiplication facts
  • 11.
    Multiplication number sentences
  • 12.
    Multiplication - facts to 10
  • 13.
    Multiplication facts up to 10 - find the missing factor
Understand division
  • 14.
    Divide by counting equal groups
  • 15.
    Write division sentences for groups
  • 16.
    Relate multiplication and division for groups
  • 17.
    Write division sentences for arrays
  • 18.
    Make arrays to model division
  • 19.
    Relate multiplication and division for arrays
  • 20.
    Divide using number lines
Division facts
  • 21.
    Division facts to 10
AC9M3N05 Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
  • 1.
    Estimate sums
  • 2.
    Estimate sums: word problems
  • 3.
    Estimate differences
  • 4.
    Estimate differences: word problems
AC9M3N05 Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
  • 1.
    Estimate sums
  • 2.
    Estimate sums: word problems
  • 3.
    Estimate differences
  • 4.
    Estimate differences: word problems
AC9M3N06 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
Addition
  • 1.
    Addition word problems - up to two digits
  • 2.
    Add three or more numbers up to two digits - word problems
  • 3.
    Add two numbers up to three digits - word problems
  • 4.
    Add three or more numbers up to three digits - word problems
Subtraction
  • 5.
    Subtract numbers up to two digits - word problems
  • 6.
    Subtract numbers up to three digits - word problems
Multiplication and division
  • 7.
    Use equal groups and arrays to solve multiplication word problems
  • 8.
    Multiplication word problems - facts to 10
  • 9.
    Missing factors - facts to 10 - word problems
  • 10.
    Division word problems - facts to 10
Mixed operations
  • 11.
    Addition and subtraction word problems
  • 12.
    Add and subtract data from tables
  • 13.
    Addition, subtraction and multiplication word problems
  • 14.
    Two-step addition and subtraction word problems
  • 15.
    Multi-step word problems
AC9M3N06 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
Addition
  • 1.
    Addition word problems - up to two digits
  • 2.
    Add three or more numbers up to two digits - word problems
  • 3.
    Add two numbers up to three digits - word problems
  • 4.
    Add three or more numbers up to three digits - word problems
Subtraction
  • 5.
    Subtract numbers up to two digits - word problems
  • 6.
    Subtract numbers up to three digits - word problems
Multiplication and division
  • 7.
    Use equal groups and arrays to solve multiplication word problems
  • 8.
    Multiplication word problems - facts to 10
  • 9.
    Missing factors - facts to 10 - word problems
  • 10.
    Division word problems - facts to 10
Mixed operations
  • 11.
    Addition and subtraction word problems
  • 12.
    Add and subtract data from tables
  • 13.
    Addition, subtraction and multiplication word problems
  • 14.
    Two-step addition and subtraction word problems
  • 15.
    Multi-step word problems
AC9M3N07 Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns
  • 1.
    Input/output tables - write the addition, subtraction or multiplication rule - up to 100
  • 2.
    Use a rule to complete an addition or subtraction pattern
  • 3.
    Number patterns
  • 4.
    Number patterns - word problems
  • 5.
    Complete an increasing number pattern
AC9M3N07 Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns
  • 1.
    Input/output tables - write the addition, subtraction or multiplication rule - up to 100
  • 2.
    Use a rule to complete an addition or subtraction pattern
  • 3.
    Number patterns
  • 4.
    Number patterns - word problems
  • 5.
    Complete an increasing number pattern
Algebra
AC9M3A01 Recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences
Fact families
  • 1.
    Fact families
Complete number sentences
  • 2.
    Complete the addition number sentence - up to two digits
  • 3.
    Complete the addition number sentence - up to three digits
  • 4.
    Complete the subtraction number sentence - up to two digits
  • 5.
    Complete the subtraction number sentence - up to three digits
Balance equations
  • 6.
    Balance addition equations - up to two digits
  • 7.
    Balance addition equations - up to three digits
  • 8.
    Balance subtraction equations - up to two digits
  • 9.
    Balance subtraction equations - up to three digits
  • 10.
    Addition and subtraction facts – balance equations
AC9M3A01 Recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences
Fact families
  • 1.
    Fact families
Complete number sentences
  • 2.
    Complete the addition number sentence - up to two digits
  • 3.
    Complete the addition number sentence - up to three digits
  • 4.
    Complete the subtraction number sentence - up to two digits
  • 5.
    Complete the subtraction number sentence - up to three digits
Balance equations
  • 6.
    Balance addition equations - up to two digits
  • 7.
    Balance addition equations - up to three digits
  • 8.
    Balance subtraction equations - up to two digits
  • 9.
    Balance subtraction equations - up to three digits
  • 10.
    Addition and subtraction facts – balance equations
AC9M3A02 Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator
Addition
  • 1.
    Add one-digit numbers
  • 2.
    Add multiples of 10
  • 3.
    Add multiples of 100
  • 4.
    Addition patterns over increasing place values
Subtraction
  • 5.
    Subtraction facts - numbers up to 18
  • 6.
    Subtract multiples of 10
  • 7.
    Subtract multiples of 100
  • 8.
    Subtraction patterns over increasing place values
AC9M3A02 Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator
Addition
  • 1.
    Add one-digit numbers
  • 2.
    Add multiples of 10
  • 3.
    Add multiples of 100
  • 4.
    Addition patterns over increasing place values
Subtraction
  • 5.
    Subtraction facts - numbers up to 18
  • 6.
    Subtract multiples of 10
  • 7.
    Subtract multiples of 100
  • 8.
    Subtraction patterns over increasing place values
AC9M3A03 Recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts
Multiplication
  • 1.
    Multiply by 3
  • 2.
    Multiply by 4
  • 3.
    Multiply by 5
  • 4.
    Multiply by 10
Division
  • 5.
    Divide by 3
  • 6.
    Divide by 4
  • 7.
    Divide by 5
  • 8.
    Divide by 10
AC9M3A03 Recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts
Multiplication
  • 1.
    Multiply by 3
  • 2.
    Multiply by 4
  • 3.
    Multiply by 5
  • 4.
    Multiply by 10
Division
  • 5.
    Divide by 3
  • 6.
    Divide by 4
  • 7.
    Divide by 5
  • 8.
    Divide by 10
Measurement
AC9M3M01 Identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimates
  • 1.
    Which metric unit of length is appropriate?
  • 2.
    Which metric unit of mass is appropriate?
  • 3.
    Which metric unit of volume is appropriate?
AC9M3M01 Identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimates
  • 1.
    Which metric unit of length is appropriate?
  • 2.
    Which metric unit of mass is appropriate?
  • 3.
    Which metric unit of volume is appropriate?
AC9M3M02 Measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markings
Measure objects
  • 1.
    Measure using a centimetre ruler
  • 2.
    Measure liquid volumes - metric units
Compare units
  • 3.
    Compare metric units of length
  • 4.
    Compare metric units of mass
  • 5.
    Compare metric units of volume
  • 6.
    Compare metric units
AC9M3M02 Measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markings
Measure objects
  • 1.
    Measure using a centimetre ruler
  • 2.
    Measure liquid volumes - metric units
Compare units
  • 3.
    Compare metric units of length
  • 4.
    Compare metric units of mass
  • 5.
    Compare metric units of volume
  • 6.
    Compare metric units
AC9M3M03 Recognise and use the relationship between formal units of time including days, hours, minutes and seconds to estimate and compare the duration of events
  • 1.
    Elapsed time
  • 2.
    Elapsed time word problems
AC9M3M03 Recognise and use the relationship between formal units of time including days, hours, minutes and seconds to estimate and compare the duration of events
  • 1.
    Elapsed time
  • 2.
    Elapsed time word problems
AC9M3M04 Describe the relationship between the hours and minutes on analog and digital clocks, and read the time to the nearest minute
Read and write times
  • 1.
    Match clocks and times
  • 2.
    Match analogue and digital clocks
  • 3.
    Read clocks and write times
  • 4.
    Write times
Relate time units
  • 5.
    Relate time units - seconds, minutes, hours
AC9M3M04 Describe the relationship between the hours and minutes on analog and digital clocks, and read the time to the nearest minute
Read and write times
  • 1.
    Match clocks and times
  • 2.
    Match analogue and digital clocks
  • 3.
    Read clocks and write times
  • 4.
    Write times
Relate time units
  • 5.
    Relate time units - seconds, minutes, hours
AC9M3M05 Identify angles as measures of turn and compare angles with right angles in everyday situations
  • 1.
    Angles as fractions of a circle
  • 2.
    Angles greater than, less than or equal to a right angle
AC9M3M05 Identify angles as measures of turn and compare angles with right angles in everyday situations
  • 1.
    Angles as fractions of a circle
  • 2.
    Angles greater than, less than or equal to a right angle
AC9M3M06 Recognise the relationships between dollars and cents and represent money values in different ways
Represent money amounts
  • 1.
    Count coins and notes - up to $5 note
  • 2.
    Equivalent amounts of money - up to $5
  • 3.
    Exchanging coins
  • 4.
    Least number of coins
Purchases
  • 5.
    Purchases - do you have enough money - up to $10
  • 6.
    Making change
Compare and order money amounts
  • 7.
    Which picture shows more?
  • 8.
    Inequalities with money
  • 9.
    Put money amounts in order
AC9M3M06 Recognise the relationships between dollars and cents and represent money values in different ways
Represent money amounts
  • 1.
    Count coins and notes - up to $5 note
  • 2.
    Equivalent amounts of money - up to $5
  • 3.
    Exchanging coins
  • 4.
    Least number of coins
Purchases
  • 5.
    Purchases - do you have enough money - up to $10
  • 6.
    Making change
Compare and order money amounts
  • 7.
    Which picture shows more?
  • 8.
    Inequalities with money
  • 9.
    Put money amounts in order
Space
AC9M3SP01 Make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses
  • 1.
    Identify three-dimensional shapes
  • 2.
    Count vertices, edges and faces
  • 3.
    Identify faces of three-dimensional shapes
  • 4.
    Nets of three-dimensional figures
  • 5.
    Draw polygons
AC9M3SP01 Make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses
  • 1.
    Identify three-dimensional shapes
  • 2.
    Count vertices, edges and faces
  • 3.
    Identify faces of three-dimensional shapes
  • 4.
    Nets of three-dimensional figures
  • 5.
    Draw polygons
AC9M3SP02 Interpret and create two dimensional representations of familiar environments, locating key landmarks and objects relative to each other
  • 1.
    Objects on a coordinate plane
  • 2.
    Coordinate planes as maps
AC9M3SP02 Interpret and create two dimensional representations of familiar environments, locating key landmarks and objects relative to each other
  • 1.
    Objects on a coordinate plane
  • 2.
    Coordinate planes as maps
Statistics
AC9M3ST01 Acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods including frequency tables and spreadsheets
AC9M3ST01 Acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods including frequency tables and spreadsheets
AC9M3ST02 Create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context
Tally charts and tables
  • 1.
    Interpret tally charts
  • 2.
    Read a table
Bar graphs
  • 3.
    Interpret bar graphs
  • 4.
    Create bar graphs
Picture graphs
  • 5.
    Interpret picture graphs I
  • 6.
    Interpret picture graphs II
  • 7.
    Create picture graphs
AC9M3ST02 Create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context
Tally charts and tables
  • 1.
    Interpret tally charts
  • 2.
    Read a table
Bar graphs
  • 3.
    Interpret bar graphs
  • 4.
    Create bar graphs
Picture graphs
  • 5.
    Interpret picture graphs I
  • 6.
    Interpret picture graphs II
  • 7.
    Create picture graphs
AC9M3ST03 Conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest
AC9M3ST03 Conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest
Probability
AC9M3P01 Identify practical activities and everyday events involving chance; describe possible outcomes and events as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' explaining reasoning
  • 1.
    Certain, probable, unlikely and impossible
AC9M3P01 Identify practical activities and everyday events involving chance; describe possible outcomes and events as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' explaining reasoning
  • 1.
    Certain, probable, unlikely and impossible
AC9M3P02 Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
  • 1.
    Combinations
AC9M3P02 Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
  • 1.
    Combinations
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