Use this set of charts to prompt students in the problem solving process. Each chart includes an accompanying picture to assist students using each of the twelve problem solving 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
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 and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions
Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
Solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits
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
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
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
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
Create simple financial plans
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Selects and uses appropriate mental or written strategies, or technology, to solve problems
Checks the accuracy of a statement and explains the reasoning used
Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-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 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
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Selects and applies appropriate strategies to solve multiplication and division problems
Selects and applies appropriate strategies to solve addition and subtraction problems
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
Compares and orders decimals up to 3 decimal places
Applies an understanding of place value and the role of zero to represent the properties of numbers
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
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