| Level 1 | KS3 PoS |
| Representing• understand practical problems in familiar andunfamiliar contexts and situations, some ofwhich are non-routine •
identify and obtain necessary information totackle
the problem • select mathematics in an organised way to findsolutions | Identify the mathematical aspects of a situation or
problem Choose between representations, Select mathematical information,
methods and tools to use Select mathematical information, methods and tools to use |
| Analysing• apply mathematics in an organised way to findsolutions to straightforward practicalproblems for different purposes • use appropriate checking procedures at each stage | Work logically towards results and solutions, recognising the impact
of constraints and assumptions Identify and classify patterns, Make
and begin to justify conjectures and generalisations, considering special cases and counter examples Use appropriate mathematical procedures |
| Interpreting• interpret and communicate solutionsto practical problems, drawing simple conclusions and giving explanations. | Form convincing arguments based on findings and make
general statements Relate findings to the original context,
identifying whether they support or refute conjectures Consider the assumptions made and
the appropriateness and accuracy of results and conclusions Communicate
findings effectively, Engage in mathematical discussion of results |
| Level 2 | |
| Representing• understand routine and non-routine problems
infamiliar and unfamiliar contexts
and situations • identify the situation or problems and identify the mathematical
methods needed to solve them •
select a range of mathematics to find solutions | Identify the mathematical aspects of a situation or problemSimplify the situation or problem
in order to represent it mathematically, using appropriate variables, symbols, diagrams and modelsCompare and evaluate representations
of a situation before making a choice
Select mathematical information, methods and tools to use |
| Analysing• apply a range of mathematics to find solutions • use appropriate checking proceduresand evaluate their effectiveness at each stage | Work logically towards results and solutions, recognising the impact of constraints
and assumptionsIdentify
and classify patterns
Make and justify conjectures and generalisations, considering special cases and counter-examples |
| Interpreting• interpret and communicate solutionsto multistage practical problems in familiar andunfamiliar contexts and situations • draw conclusions and provide mathematical justifications | Form convincing arguments based on findings and
make general statementsRelate
findings to the original question or conjecture, and indicate reliabilityConsider the assumptions made and the appropriateness
and accuracy of results and conclusions Use a range of forms to communicate
Engage in mathematical discussion of resultsConsider the assumptions made and the appropriateness and accuracy of results and conclusions |
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