Mathematics SLInternal 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 SkillsTranslating 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 IA1. 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

10. a conclusion summing up the task.   

Structure of a Type 2 IA7. 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

BEST 2 GO TO IB!

Type 1 (11th

grade)

Type 2(now)

Choose to re-do a 1 or 2

Assessment

See pdf document for Rubric

Hand out body mass index example