Mathematical modelling
What Mathematical modelling means in Mathematics A-Level, as defined for AQA, WJEC.
Definitions of Mathematical modelling
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Reference: WJEC
Transforms complex real-world situations into tractable mathematical formulations, requiring identification of key dependent and independent variables and the physical laws or geometric relationships governing their interaction.
Recognising the underlying mathematical structure in a situation and simplifying and abstracting appropriately to enable problems to be solved.
Straight lines can represent constant rates, such as cost per unit or distance at constant speed, and the line can be used to make predictions.
Translating unstructured information into a mathematical representation by defining variables and forming equations, inequalities or functions.
Use of functions to represent real-world situations, enabling predictions and explanations, with evaluation of how well a model fits reality.
Constructing mathematical differential models for kinematics, biological growth, and economic demand.
Topics that use Mathematical modelling
- B: Algebra and functions (AQA A-Level)
- C: Coordinate geometry in the (x, y) plane (AQA A-Level)
- OT2: Mathematical problem solving (AQA A-Level)
- Differentiation (A2 Unit 4: Applied Mathematics B) (WJEC A-Level)
- Overarching themes - Mathematical modelling (WJEC A-Level)
Related terms
- Completing the square
- contextual interpretation
- Modelling assumptions
- rates of change
- Acceleration
- Analytical vs numerical solutions
- Asymptote
- Asymptotes
Using Mathematical modelling in the exam
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