model refinement
What model refinement means in Mathematics A-Level, as defined for AQA, Pearson Edexcel, WJEC.
Definitions of model refinement
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Reference: WJEC
Considering a model's outputs and simplifying assumptions to improve it, balancing improved descriptive fidelity against increased mathematical complexity so it remains practical yet predictive.
Changing a model by adding a variable, changing a function, or adjusting assumptions after considering its outputs and simplifying assumptions.
A specific amended model, such as a bounded growth curve or a baseline-shifted decay curve, proposed instead of stating that the model fails.
Using model outputs and simplifying assumptions to improve the model, for example by adding a limiting factor or using a different function.
Adopting more realistic assumptions, such as time-dependent probabilities, to alter predicted outcomes and address model limitations.
Topics that use model refinement
- OT3: Mathematical modelling (AQA A-Level)
- Overarching theme 3: Mathematical modelling (Pearson Edexcel A-Level)
- Exponentials and logarithms (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
- Overarching themes - Mathematical modelling (WJEC A-Level)
- Probability (A2 Unit 4: Applied Mathematics B) (WJEC A-Level)
Related terms
- Modelling assumptions
- Simplifying assumptions
- carrying capacity
- contextual interpretation
- Mathematical model
- units and meaning
- Accurate recording
- ambient temperature baseline
Using model refinement in the exam
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