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Six A4 charts featuring other terms we see in mathematical problem solving for Addition, Subtraction, Multiplication, Division and Mathematical Symbols. Very useful for students with comprehension difficulties.
Represent practical situations involving addition, subtraction and quantification with physical and virtual materials and use counting or subitising strategies
Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts
Represent practical situations involving equal sharing and grouping with physical and virtual materials and use counting or subitising strategies
Add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategies
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 additive and multiplicative situations including financial contexts; formulate the problems using number sentences and choose efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
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 equal sharing and grouping; 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 additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation
Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder
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
Represent practical situations to model addition and sharing
Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
Recognise and represent multiplication as repeated addition, groups and arrays
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
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
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
Combines, separates and compares collections of objects, describes using everyday language, and records using informal methods
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
Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers
Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values
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
Checks the accuracy of a statement and explains the reasoning used
Selects and uses appropriate mental or written strategies, or technology, to solve problems
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Represents and models halves, quarters and eighths
Uses a range of mental strategies and concrete materials for multiplication and division
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)
Reasons about number relations to model addition and subtraction by combining and separating, and comparing collections
Completes number sentences involving multiplication and division by finding missing values
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
Forms equal groups by sharing and counting collections of objects
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
Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning
Uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems
Recognise and represent multiplication as repeated addition, groups and arrays
Recognise, describe and order Australian coins according to their value
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Recognise and describe one-half as one of two equal parts of a whole
Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
Solve word problems by using number sentences involving multiplication or division where there is no remainder
Recognise the importance of repetition of a process in solving problems
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies
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
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
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
Represent practical situations that model sharing
Represent practical situations to model sharing
Represent practical situations to model addition and subtraction
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line