Mathematics SL
Internal Assessment: Type II
Portfolio
Type I: Investigation (done last year)
Type II: Modeling
No no…….Mathmatical
Modeling!
Mathematical Modelling
Problem solving - often process oriented
Mathematical modeling – often requires an experimental
approach
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 data
The model should “predict”
the near future!
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 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.
What if I did not turn in/ goofed
up my IA last year
Type 1
(11th
grade)
Type 2
(now)
BEST 2
GO TO
IB!
Choose to
re-do a 1
or 2
Assessment
See pdf document for Rubric
Hand out body mass index example