This wall display was created to show the language of maths in a colour-coded format that can be easily viewed from all areas of the classroom. It features both the language and the matching mathematical symbol.
Use this display as a reference guide for problem-solving activities.
Add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategies
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
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
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
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
Recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving
Use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation
Multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays, and partitioning to support a variety of calculation strategies
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made
Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
Recognise and represent multiplication as repeated addition, groups and arrays
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
Solve problems involving division by a one digit number, including those that result in a remainder
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Uses a range of mental strategies and concrete materials for multiplication and division
Selects and uses appropriate mental or written strategies, or technology, to solve problems
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
Uses a range of strategies and informal recording methods for addition and subtraction involving one- and two-digit numbers
Represents and models halves, quarters and eighths
Checks the accuracy of a statement and explains the reasoning used
Uses mental and informal written strategies for multiplication and division
Applies place value, informally, to count, order, read and represent two- and three-digit numbers
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
Gives a valid reason for supporting one possible solution over another
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
Completes number sentences involving addition and subtraction by finding missing values
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
Represents and compares decimals up to 2 decimal places using place value
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
Completes number sentences involving multiplication and division by finding missing values
Applies an understanding of place value and the role of zero to represent the properties of numbers
Compares and orders decimals up to 3 decimal places
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
Selects and applies appropriate strategies to solve addition and subtraction problems
Selects and applies appropriate strategies to solve multiplication and division problems
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations
Count and order small collections of Australian coins and notes according to their value
Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction
Recognise and represent multiplication as repeated addition, groups and arrays
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
Solve problems involving division by a one digit number, including those that result in a remainder
Represent practical situations that model sharing
Recognise, describe and order Australian coins according to their value
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
Recognise and describe one-half as one of two equal parts of a whole
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
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences