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Achievement Standards - Mathematics
F 1 2 3 4 5 6 Pre & Primary Essentials Resources Classroom Displays Mathematics Fractions & Decimals Number & Place Value 36 Pages

Achievement Standards - Mathematics

This printable Mathematics achievement standard resource contains "We are learning to..." statements for all strands and substrands from Foundation to Year 6, including Number, Algebra, Measurement, Space, Statistics and Probability. Each statement is aligned to the Australian Curriculum v9.0 and clearly outlines student learning goals. Perfect for displaying during lessons, attaching to assessment tasks, or adding to student portfolios to communicate achievement progress with parents and staff.

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Learning goals

  • We are learning to read, write and order numbers to 20 using concrete materials, connecting quantities, numerals and number names.
  • We are learning to read, write, name and order two-digit numbers to at least 120 using concrete materials, hundred charts and number lines.
  • We are learning to read, write, name and order numbers to at least 1000 using concrete and virtual materials, numerals and number lines.
  • We are learning to recognise, model, represent and order numbers to at least 10 000.
  • We are learning to recognise and extend place value to tenths and hundredths use decimal notation to name and represent decimals.
  • We are learning to compare and order numbers with more than two decimal places and represent decimal numbers including numbers greater than 1, e.g. 1.68cm, on number lines.
  • We are learning to use, locate and represent integers on number lines, Cartesian planes, thermometers and in profit and loss.
  • We are learning to recognise and name the number of objects in a collection up to 5 using subitising.
  • We are learning to show that one- and two-digit numbers can be partitioned in different ways, such as partitioning two-digit numbers into tens and ones.
  • We are learning to show that two- and three-digit numbers can be partitioned and re-named in different ways, such as partitioning three-digit numbers into hundreds, tens and ones.
  • We are learning to recognise 1/2, 1/3, 1/4, 1/5, 1/10 and their multiples to a complete whole and fractions of groups in different ways.
  • We are learning to explain and use the properties of odd and even numbers.
  • We are learning to express numbers as products of their factors, identify multiples and apply divisibility rules to large numbers.
  • We are learning to identify and describe the properties of prime, composite and square numbers and use these properties to solve problems.
  • We are learning to count forwards and backwards up to 20.
  • We are learning to compare and order numbers to 20 using words such as ‘more’, ‘less’, ‘same’ or ‘first’, ‘second’, ‘third’.
  • We are learning to subitise small collections of objects.
  • We are learning to read, write, model and represent numbers to 100 in different ways and on number lines.
  • We are learning to count collections to 100 using place value groupings.
  • We are learning to recognise, model, represent and order numbers to at least 1000.
  • We are learning to count collections to 1000 using place value groupings.
  • We are learning to recognise, model, represent and order numbers to at least tens of thousands.
  • We are learning to recognise 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole and to locate fractions on a number line.
  • We are learning to make connections between fractions and decimals to tenths and hundredths.
  • We are learning to investigate and use odd and even numbers.
  • We are learning to identify and describe what makes a number odd or even.
  • We are learning to recognise and represent the place value system extending to thousandths, e.g. one-thousandth and 0.001
  • We are learning to compare, order and represent decimals on number lines.
  • We are learning to identify and describe factors and multiples of whole numbers and use them to solve problems.
  • We are learning to investigate everyday situations that use integers, e.g. temperatures, and to locate and represent these numbers on a number line.
  • We are learning to identify and describe properties of prime, composite, square and triangular numbers.

Curriculum alignment

AC9M1N01 9 Recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts AC9M2N01 9 Recognise, represent and order numbers to at least 1000 using physical and virtual materials, numerals and number lines AC9M3N01 9 Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000 AC9M4N01 9 Recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals AC9M5N01 9 Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line AC9M6N02 9 Identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations AC9M6N01 9 Recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane AC9MFN02 9 Recognise and name the number of objects within a collection up to 5 using subitising AC9M1N02 9 Partition one- and two-digit numbers in different ways using physical and virtual materials, including partitioning two-digit numbers into tens and ones AC9M5N02 9 Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another AC9MFN01 9 Name, represent and order numbers including zero to at least 20, using physical and virtual materials and numerals AC9M4N02 9 Explain and use the properties of odd and even numbers AC9M3N02 9 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 AC9M2N02 9 Partition, rearrange, regroup and rename two- and three-digit numbers using standard and non-standard groupings; recognise the role of a zero digit in place value notation ACMNA104 8.4 Recognise that the place value system can be extended beyond hundredths ACMNA105 8.4 Compare, order and represent decimals ACMNA051 8.4 Investigate the conditions required for a number to be odd or even and identify odd and even numbers ACMNA071 8.4 Investigate and use the properties of odd and even numbers ACMNA079 8.4 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation ACMNA001 8.4 Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point ACMNA058 8.4 Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole ACMNA072 8.4 Recognise, represent and order numbers to at least tens of thousands ACMNA098 8.4 Identify and describe factors and multiples of whole numbers and use them to solve problems ACMNA289 8.4 Compare, order and make correspondences between collections, initially to 20, and explain reasoning ACMNA003 8.4 Subitise small collections of objects ACMNA013 8.4 Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line ACMNA014 8.4 Count collections to 100 by partitioning numbers using place value ACMNA124 8.4 Investigate everyday situations that use integers. Locate and represent these numbers on a number line ACMNA027 8.4 Recognise, model, represent and order numbers to at least 1000 ACMNA122 8.4 Identify and describe properties of prime, composite, square and triangular numbers ACMNA052 8.4 Recognise, model, represent and order numbers to at least 10 000 ACMNA028 8.4 Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
MA2-1WM old Uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA1-1WM old Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols MA1-2WM old Uses objects, diagrams and technology to explore mathematical problems MA2-7NA old Represents, models and compares commonly used fractions and decimals MA1-3WM old Supports conclusions by explaining or demonstrating how answers were obtained MAe-4NA old Counts to 30, and orders, reads and represents numbers in the range 0 to 20 MAe-3WM old Uses concrete materials and/or pictorial representations to support conclusions MAe-2WM old Uses objects, actions, technology and/or trial and error to explore mathematical problems MAe-1WM old Describes mathematical situations using everyday language, actions, materials and informal recordings MA1-4NA old Applies place value, informally, to count, order, read and represent two- and three-digit numbers MA2-8NA old Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-7NA old Compares, orders and calculates with fractions, decimals and percentages MA2-4NA old Applies place value to order, read and represent numbers of up to five digits MA2-3WM old Checks the accuracy of a statement and explains the reasoning used MA2-2WM old Selects and uses appropriate mental or written strategies, or technology, to solve problems MA3-4NA old Orders, reads and represents integers of any size and describes properties of whole numbers MA2-RN-02 new Represents and compares decimals up to 2 decimal places using place value MA2-RN-01 new Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands MA1-RWN-02 new Reasons about representations of whole numbers to 1000, partitioning numbers to use and record quantity values MA2-PF-01 new Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths) MA1-RWN-01 new Applies an understanding of place value and the role of zero to read, write and order two- and three-digit numbers MA2-MR-01 new Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems MA2-MR-02 new Completes number sentences involving multiplication and division by finding missing values MAE-RWN-01 new Demonstrates an understanding of how whole numbers indicate quantity MA2-AR-01 new Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers MA2-AR-02 new Completes number sentences involving addition and subtraction by finding missing values MAE-RWN-02 new Reads numerals and represents whole numbers to at least 20 MA3-RN-01 new Applies an understanding of place value and the role of zero to represent the properties of numbers MA3-RN-02 new Compares and orders decimals up to 3 decimal places MA3-RN-03 new Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values MA3-MR-01 new Selects and applies appropriate strategies to solve multiplication and division problems MA3-MR-02 new Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations MA3-GM-02 new Selects and uses the appropriate unit and device to measure lengths and distances including perimeters MA3-GM-01 new Locates and describes points on a coordinate plane
VCMNA208 Identify and describe properties of prime, composite, square and triangular numbers VCMNA181 Identify and describe factors and multiples of whole numbers and use them to solve problems VCMNA210 Investigate everyday situations that use integers. Locate and represent these numbers on a number line VCMNA190 Compare, order and represent decimals VCMNA189 Recognise that the place value system can be extended beyond hundredths VCMNA129 Investigate the conditions required for a number to be odd or even and identify odd and even numbers VCMNA151 Investigate and use the properties of odd and even numbers VCMNA159 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation VCMNA069 Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point VCMNA136 Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole VCMNA072 Compare, order and make correspondences between collections, initially to 20, and explain reasoning VCMNA071 Subitise small collections of objects VCMNA087 Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line VCMNA088 Count collections to 100 by partitioning numbers using place value VCMNA104 Recognise, model, represent and order numbers to at least 1000 VCMNA152 Recognise, represent and order numbers to at least tens of thousands VCMNA130 Recognise, model, represent and order numbers to at least 10 000 VCMNA105 Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

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