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Mathematics Analysis and Approaches (AA) Extended Essay Exemplar:… | RevisionDojo
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IB Mathematics Analysis and Approaches (AA) SL Extended Essay Example
How does modelling scoring rates as differential equations compare to the
Duckworth-Lewis-Stern method in predicting run chases in rain-affected limited-overs cricket?SL
C
Overall Score
14/28
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Criteria A: Focus and Method
5/6
0
3
6
Criteria Strands
A.1Topic communication and explanation
Excellent
A.2Research question clarity and focus
Excellent
A.3Research methodology
Excellent
Criteria Feedback
The research question is explicit, focused and tightly connected to every section of the essay, ensuring a coherent investigative thread.
Explanatory passages on both cricket rules and differential‐equation modelling are accurate, logically sequenced and pitched at an appropriate mathematical audience.
Frequent signposting (“to evaluate their effectiveness…”) keeps the discussion centred on the research question throughout.
A few extended historical digressions (e.g. origins of cricket) marginally distract from the core modelling focus.
Empirical methodology is robust but limited by analysing only two matches and by brief justification of ad-hoc parameter choices (e.g. vertical shifts).
Criteria B: Knowledge and Understanding
3/6
0
3
6
Criteria Strands
B.1Subject knowledge application
Good
B.2Use of terminology and concepts
Moderate
Criteria Feedback
Derivations of both exponential and logistic differential equations are thorough and correctly applied to match data.
Key subject-specific terminology (e.g. “Wiener process,” “carrying capacity”) is generally appropriate and underpins the modelling discourse.
Notation is inconsistently applied (e.g. R(t) vs. scoring rate vs. cumulative runs), causing occasional ambiguity.
Some derivations are treated informally (e.g. parameter proofs) and statistical underpinnings (e.g. justification of resource percentages) are superficial.
Criteria C: Critical Thinking
4/12
0
6
12
Criteria Strands
C.1Research quality
Poor
C.2Analysis depth
Poor
C.3Discussion and evaluation
Poor
Criteria Feedback
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Criteria D: Presentation
2/4
0
2
4
Criteria Strands
D.1Structure appropriateness
Excellent
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.
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Upgrade to PRO to see detailed feedback for all criteria in this exemplar.
