Internal Assessment Type II Portfolio Type I Investigation done last year Type II Modeling No no Mathmatical Modeling Mathematical Modelling Problem solving often ID: 297397
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Slide1
Mathematics SL
Internal Assessment: Type IISlide2
Portfolio
Type I: Investigation (done last year)Type II:
ModelingSlide3Slide4
No no…….Mathmatical
Modeling!Slide5
Mathematical Modelling
Problem solving - often process orientedMathematical
modeling
– often requires an
experimental
approachSlide6
Important Skills
Translating the real-world problem into mathematics
Constructing a model (equation…..often from collected data)
Solving the problem
Interpreting the solution in the real-world situation
Recognizing that different models may be used to solve the same problem
comparing different models
Identifying domains or ranges of validity of the models
Identifying the possible limits of technology
Manipulating dataSlide7
The model should “predict” the near future!Slide8
Structure of a Type 2 IA
1. An introduction to describe what the task will be about.
2. a statement of what the
variables/parameters
are, what symbols will be used to represent them, and what units will be used to measure them.
3
. a graph of the data and a discussion of possible functions which might reasonably model the data.
4
.
an analytic
development of the values of the parameters in the model(s) chosen.
5
. a graph of the data and the model(s) generated.
6
. tweaking of the model(s) using regression tools to generate other values of the parameters, with a discussion of how well the various models fit the data. (note: You should say more than “it fits pretty good” !!!!!!
Structure of a type II IA
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. a conclusion summing up the task.
Slide9
Structure of a Type 2 IA
7. discuss limitations on the values of the variables.
8. address any additional issues presented in the task.
9. Perhaps apply the model to other situations, or infer what it tells you about future trends.
NOTE: You should be able to read your IA, from start to finish, and understand what it is about WITHOUT having to look back at the original task.Slide10
What if I did not turn in/ goofed up my IA last yearSlide11Slide12
Assessment
See pdf
document for RubricHand out body mass index example