Home > Subjects > Mathematics > Level 3 - statistics and modelling > 3.7 Mathematical modelling (AS90647) > Key tips
- Subject: Mathematics
- AS: 90647
- Level: 3
- Credits: 3
- Internal
Statistics and modelling 3.7 Use a mathematical model involving curve fitting to solve a problem
Key tips
- Revise laws of indices, logarithms, solving logarithmic and exponential equations.
- Be familiar with the three kinds of mathematical model taught in this topic and when to apply them. They are y = axn, (power function) y = amx, (exponential function) and y = Aekt (another exponential function).
- Practise solving problems using y = axn n or y = amx and y = Aek, substituting in x-value to find a y-value and vice versa.
- Practise fitting curves to a graph of experimental data and working out their equations.
- Practise making predictions, by choosing an x-value for which you do not have raw data and find the corresponding y-value or vice versa.
- Learn how to analyse your model, explaining how well your model fits, identifying limitations, and giving reasons for the accuracy of your solution.
- Write down the calculations you make to check the ‘fit’ of your model. Put x-values into your equation and find the corresponding y-values, stating how close they are to the experimental y-values.
- It is expected you can use computer programs such as spreadsheets and/or graphics calculators.
- Check out the I Can Do Sheet Level 3 Statistics from www.nzamt.org.nz for a list of essential skills for each achievement standard.
