This set of place value charts is a great reference tool for students to use when referring to whole numbers to billions and decimal numbers down to thousandths.
Partition and combine collections up to 10 using part-part-whole relationships and subitising to recognise and name the parts
Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
Recognise, represent and order numbers to at least 1000 using physical and virtual materials, numerals and number lines
Use mathematical modelling to solve practical problems involving equal sharing and grouping; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem
Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
Use mathematical modelling to solve practical problems involving additive situations, including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem
Recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts
Recognise, model, represent and order numbers to at least 1000
Recognise, model, represent and order numbers to at least 10 000
Recognise, represent and order numbers to at least tens of thousands
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
Use estimation and rounding to check the reasonableness of answers to calculations
Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond
Uses a range of strategies and informal recording methods for addition and subtraction involving one- and two-digit numbers
Selects and uses appropriate mental or written strategies, or technology, to solve problems
Describes mathematical situations using everyday language, actions, materials and informal recordings
Uses objects, actions, technology and/or trial and error to explore mathematical problems
Uses concrete materials and/or pictorial representations to support conclusions
Counts to 30, and orders, reads and represents numbers in the range 0 to 20
Checks the accuracy of a statement and explains the reasoning used
Applies place value to order, read and represent numbers of up to five digits
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols
Uses objects, diagrams and technology to explore mathematical problems
Supports conclusions by explaining or demonstrating how answers were obtained
Applies place value, informally, to count, order, read and represent two- and three-digit numbers
Gives a valid reason for supporting one possible solution over another
Represents and models halves, quarters and eighths
Uses a range of mental strategies and concrete materials for multiplication and division
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
Represents and compares decimals up to 2 decimal places using place value
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
Uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems
Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning
Completes number sentences involving addition and subtraction by finding missing values
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
Applies an understanding of place value and the role of zero to read, write and order two- and three-digit numbers
Completes number sentences involving multiplication and division by finding missing values
Reasons about representations of whole numbers to 1000, partitioning numbers to use and record quantity values
Selects and applies appropriate strategies to solve addition and subtraction problems
Selects and applies appropriate strategies to solve multiplication and division problems
Represents the relations between the parts that form the whole, with numbers up to 10
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Recognise, model, represent and order numbers to at least 10 000
Recognise, represent and order numbers to at least tens of thousands
Recognise, represent and order numbers to at least hundreds of thousands
Use estimation and rounding to check the reasonableness of answers to calculations
Recognise and describe one-half as one of two equal parts of a whole
Represent practical situations that model sharing
Recognise, describe and order Australian coins according to their value
Recognise the importance of repetition of a process in solving problems
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond
Recognise, model, represent and order numbers to at least 1000