MATHEMATICS CONTINUUM PROBLEM SOLVING Year 7 Year 13 Begin to solve problems Compare different Break down tasks to Justify the choice of Identify and use the Model situations making correct use of mathematical make them more representation in most efficient through precise and diagrams, symbols, representations when manageable and begin relation to the context representations for consistent use of tables and graphs solving problems to use algebraic, of the problem analysis and symbols graphical and geometric communication representations Classify objects and Make generalisations Pose questions and Examine and refine Support generalisations Explore, explain and draw simple conclusions and give examples to provide convincing arguments, conclusions through chains of clear justify assumptions and support these arguments and generalisations mathematical reasoning constraints and begin constructing mathematical proofs Check the accuracy of a Use logic to establish Present a concise Distinguish between Critically examine solution and interpret the truth of a statement reasoned argument empirical evidence and strategies and information from a using symbols, proof arguments adopted in variety of mathematical diagrams, graphs and problem solving representations related explanatory text Communicate own Refine own findings on Review and refine own Communicate Use mathematical findings clearly, both the basis of discussions findings and conclusions effectively to different symbols and language orally and in writing with others audiences using a range effectively to present of forms of convincing conclusions communication
MATHEMATICS CONTINUUM PROBLEM SOLVING Year 7 Year 13 Begin to solve problems making correct use of diagrams, symbols, tables and graphs Compare different mathematical representations when solving problems Break down tasks to make them more manageable and begin to use algebraic, graphical and geometric representations Justify the choice of representation in relation to the context of the problem Identify and use the most efficient representations for analysis and communication Model situations through precise and consistent use of symbols Classify objects and draw simple conclusions Make generalisations and give examples to support these Pose questions and provide convincing arguments Examine and refine arguments, conclusions and generalisations Support generalisations through chains of clear mathematical reasoning and begin constructing mathematical proofs Explore, explain and justify assumptions and constraints Check the accuracy of a solution and interpret information from a variety of mathematical representations Use logic to establish the truth of a statement Present a concise reasoned argument using symbols, diagrams, graphs and related explanatory text Distinguish between empirical evidence and proof Critically examine strategies and arguments adopted in problem solving Communicate own findings clearly, both orally and in writing Refine own findings on the basis of discussions with others Review and refine own findings and conclusions Communicate effectively to different audiences using a range of forms of communication Use mathematical symbols and language effectively to present convincing conclusions