Mathematical Modelling
Ages 16–18Difficulty adapts to you
Mathematical Modelling
Modelling is a cycle: understand the situation, define quantities, make reasonable assumptions, form a model, calculate, compare with reality, and refine. Units and sensible scale checks are essential.
Your goals
- ✓You can translate a real situation into assumptions, variables, equations, graphs, and a checked conclusion.
- ✓You can use Mathematical Modelling, model correctly.
- ✓You can use the definitions, units, assumptions, and examples to check your answer.
Words to know
- Mathematical Modelling:
- Translate a real situation into assumptions, variables, equations, graphs, and a checked conclusion.
- model:
- A rule or representation used to describe a situation and make a prediction.
Examples
- 1Estimate paint required by modelling wall area, coverage per litre, and an allowance for waste.
- 2Model population growth with a percentage rate, then compare the prediction with actual data and discuss the error.
Check these
- • Do not skip the meaning of a term or give a result without explaining what it means.
- • Keep every number, symbol, label, and unit in its correct place.
- • Show enough working to check how you reached your answer.
Helpful habits
- • Read the whole question before choosing what to do.
- • Show one clear step at a time and check each step.
- • If you are stuck, draw a model, try smaller numbers, or revisit the example.
Now try your own
Create your own mathematical modelling example, solve it, and explain how you checked it.
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