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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 can Lotka-Volterra equations and Verhulst’s logistic growth models be applied and compared to model the population and behavior of European rabbits (Oryctolagus cuniculus) in the UK from 1995 to 2024?SL
A
Overall Score
23/28
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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
Good
Criteria Feedback
You stated a focused research question and kept the investigation aligned with that aim throughout.
Your mathematical purpose is communicated clearly from the introduction and is sustained across the main sections.
You selected methods that match the question, including a logistic model, a predator-prey model, and stability analysis.
Some of your modelling choices would benefit from a clearer justification, especially where assumptions are made from limited data.
The methodology is strong, but it would be more convincing if you explained more fully why specific parameters and data points were selected.
A few parts of the investigation could be framed more precisely so that the connection between method and conclusion is even clearer.
Criteria B: Knowledge and Understanding
5/6
0
3
6
Criteria Strands
B.1Subject knowledge application
Excellent
B.2Use of terminology and concepts
Excellent
Criteria Feedback
You use mathematical terminology accurately and consistently across the investigation.
Your explanations of differential equations, equilibria, Jacobians, and eigenvalues show strong subject understanding.
You connect the mathematics to the ecological context in a way that is mostly precise and meaningful.
A few notational slips and wording choices reduce clarity in places.
Some interpretations would be stronger if you were more careful with classification language when discussing stability and eigenvalues.
Occasional steps in the working need to be shown more explicitly so the reasoning is easier to follow.
Criteria C: Critical Thinking
9/12
0
6
12
Criteria Strands
C.1Research quality
Good
C.2Analysis depth
Good
C.3Discussion and evaluation
Moderate
Criteria Feedback
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Criteria D: Presentation
4/4
0
2
4
Criteria Strands
D.1Structure appropriateness
Excellent
D.2Layout and formatting
Excellent
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.