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These posters contain ten common problem-solving strategies which are a resourceful tool to support students when solving problems. These posters explain each strategy in detail and are accompanied by an example of that strategy being used in action. These posters could also be used as a presentation when explicitly teaching strategies or when focusing on one particular strategy. These posters are a must for any classroom focusing on problem solving.
Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts
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
Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator
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
Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns
Recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator
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
Find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations
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
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
Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder
Solve problems involving division by a one digit number, including those that result in a remainder
Recall multiplication facts up to 10 × 10 and related division facts
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction
Describe, continue, and create number patterns resulting from performing addition or subtraction
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Solve word problems by using number sentences involving multiplication or division where there is no remainder
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
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
Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values
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
Uses mental and informal written strategies for multiplication and division
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
Applies an understanding of place value and the role of zero to represent the properties of numbers
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
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)
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 applies appropriate strategies to solve addition and subtraction problems
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
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
Compares and orders decimals up to 3 decimal places
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
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Create simple financial plans
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 and make estimates for these computations
Recall multiplication facts up to 10 × 10 and related division facts
Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes
Describe, continue, and create number patterns resulting from performing addition or subtraction
Define a simple class of problems and solve them using an effective algorithm that involves a short sequence of steps and decisions
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Use equivalent number sentences involving addition and subtraction to find unknown quantities
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies
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