IB Mathematics Analysis and Approaches (AA) SL Extended Essay Example
To what extent does player turn order affect the fairness and probability distribution of winning outcomes in UNO, as analyzed through Bayesian inference and combinatorial probability as the number of players increases?SL
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B
Official IB Result
IB Grade: B
Criteria A: Focus and Method
4/6
0
3
6
Criteria StrandsPro
A.1Topic communication and explanation
Good
A.2Research question clarity and focus
Good
A.3Research methodology
Moderate
Criteria Feedback
The student clearly states a research question at the start and keeps the investigation broadly aligned with it.
The student uses a relevant mathematical lens to explore turn order and fairness in UNO.
The student sets out assumptions and a model, which shows clear intent to make the investigation tractable.
The research question is too broad because it combines several ideas without enough narrowing.
The explanation of UNO mechanics is simplified in ways that weaken the accuracy of the investigation.
The methodology would be stronger if the model, assumptions, and evidence were more tightly aligned with the stated question.
Criteria B: Knowledge and Understanding
4/6
0
3
6
Criteria StrandsPro
B.1Subject knowledge application
Moderate
B.2Use of terminology and concepts
Moderate
Criteria Feedback
The student demonstrates good familiarity with relevant mathematical language and concepts such as probability distributions, Bayesian ideas, entropy, and divergence.
The student connects the mathematics to the game context in a way that is usually relevant to the investigation.
The student shows awareness of how a deck-based game can be modelled mathematically.
Some terminology and notation are inconsistent or occasionally inaccurate.
Several calculations and modelling choices are not fully justified, which weakens the reliability of the mathematical claims.
The application of the mathematics would be stronger if the underlying rule set and parameter choices were made more precise and consistent.
Criteria C: Critical Thinking
9/12
0
6
12
Criteria StrandsPro
C.1Research quality
Poor
C.2Analysis depth
Poor
C.3Discussion and evaluation
Poor
Criteria Feedback
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Criteria D: Presentation
3/4
0
2
4
Criteria StrandsPro
D.1Structure appropriateness
Good
D.2Layout and formatting
Moderate
Criteria Feedback
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.