IB Mathematics Applications & Interpretation (AI) HL Extended Essay Example
Which nonlinear models best describe the population growth of Ghana, and how do these models provide insights into future trends and resource planning?HL
C
Overall Score
13/28
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Criteria A: Focus and Method
3/6
0
3
6
Criteria Strands
A.1Topic communication and explanation
Good
A.2Research question clarity and focus
Excellent
A.3Research methodology
Moderate
Criteria Feedback
The research question is clearly stated, focused and consistently informs the analysis.
Methodology is mostly complete, using reputable datasets and multiple nonlinear regression models.
Topic and purpose are communicated adequately, with relevant mathematical context and introduction of key terms.
Justification for the choice of time interval and tools (TI-84/Excel) is minimal, reducing methodological transparency.
Background discussion is verbose and occasionally drifts from the mathematical focus.
Limited source triangulation and no discussion of data reliability or potential biases.
Criteria B: Knowledge and Understanding
3/6
0
3
6
Criteria Strands
B.1Subject knowledge application
Moderate
B.2Use of terminology and concepts
Moderate
Criteria Feedback
Consistent and generally correct use of subject-specific terminology (e.g., coefficient of determination, log–linear transformation).
Accurate presentation of regression functions and clear graphical illustrations (e.g., power regression plot, dual line graphs).
Some imprecision in distinguishing dependent vs. independent variables and occasional conceptual lapses.
Superficial discussion of deeper mathematical links (e.g., overfitting with high-degree polynomials, logistic model derivation).
Key parameters in models (e.g., logistic growth constants) are not fully defined or interpreted in context.
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
3/4
0
2
4
Criteria Strands
D.1Structure appropriateness
Good
D.2Layout and formatting
Good
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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