These problem solvers are a way of getting your students to work within the 4-step problem solving method they were introduced to, at the beginning of the unit. While some students will have internalised this very quickly, it can be a useful tool for students who might otherwise struggle, and a great way of helping you identify where they are making their mistakes. Give every student a few pages of them or have a stack of them pre-cut at the front of the room.
This resource is a part of a larger unit designed to show year students another method of systematically solving word problems and allow them to practice a range of strategies to solve problems of varying complexity.
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
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
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
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
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