Mathematics Analysis and Approaches (AA) Extended Essay Exemplar:… | RevisionDojo

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IB Mathematics Analysis and Approaches (AA) SL Extended Essay Example

¿Para qué valores de p > 0 una función f (x) = 1/xp genera un sólido de revolución alrededor del eje x con volumen finito y área superficial infinita, y cómo se extiende este criterio a funciones con comportamiento asintótico potencial?SL

Official IB Result

IB Grade: A

Criteria A: Focus and Method

5/6

Criteria StrandsPro

A.1Topic communication and explanation

Excellent

A.2Research question clarity and focus

Excellent

A.3Research methodology

Excellent

Criteria Feedback

The student's research question is clear, mathematically precise, and stays connected to the investigation throughout.
The student uses a sensible and replicable sequence of methods, moving from the classical case to a broader asymptotic generalization.
The opening and sectioning make the purpose of the work easy to follow.

A few later claims are broader than the hypotheses the student sets up, so the method is not always applied with full consistency.
The oscillatory example does not fully match the proposition as stated.
The student could explain more explicitly why each method is needed at each stage of the investigation.

Criteria B: Knowledge and Understanding

5/6

Criteria StrandsPro

B.1Subject knowledge application

Good

B.2Use of terminology and concepts

Excellent

Criteria Feedback

The student uses subject-specific terminology accurately and consistently for most of the report.
The student's treatment shows strong understanding of convergence, asymptotics, comparison ideas, and surface-of-revolution concepts.
The student generally distinguishes well between exact statements and asymptotic behavior.

One important surface-area statement is presented too strongly as an exact value when the argument only supports convergence-related conclusions.
A few mathematical claims would be stronger if the student separated exact computation from comparison or approximation more carefully.
Some concepts, such as the role of the derivative condition, could be explained more explicitly.

Criteria C: Critical Thinking

10/12

Criteria StrandsPro

C.1Research quality

Moderate

C.2Analysis depth

Moderate

C.3Discussion and evaluation

Moderate

Criteria Feedback

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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.

Criteria D: Presentation

3/4

Criteria StrandsPro

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.

Loading scores...

Official IB Result

IB Grade: A

Criteria A: Focus and Method

5/6

Criteria StrandsPro

A.1Topic communication and explanation

Excellent

A.2Research question clarity and focus

Excellent

A.3Research methodology

Excellent

Criteria Feedback

The student's research question is clear, mathematically precise, and stays connected to the investigation throughout.
The student uses a sensible and replicable sequence of methods, moving from the classical case to a broader asymptotic generalization.
The opening and sectioning make the purpose of the work easy to follow.

A few later claims are broader than the hypotheses the student sets up, so the method is not always applied with full consistency.
The oscillatory example does not fully match the proposition as stated.
The student could explain more explicitly why each method is needed at each stage of the investigation.

Criteria B: Knowledge and Understanding

5/6

Criteria StrandsPro

B.1Subject knowledge application

Good

B.2Use of terminology and concepts

Excellent

Criteria Feedback

The student uses subject-specific terminology accurately and consistently for most of the report.
The student's treatment shows strong understanding of convergence, asymptotics, comparison ideas, and surface-of-revolution concepts.
The student generally distinguishes well between exact statements and asymptotic behavior.

One important surface-area statement is presented too strongly as an exact value when the argument only supports convergence-related conclusions.
A few mathematical claims would be stronger if the student separated exact computation from comparison or approximation more carefully.
Some concepts, such as the role of the derivative condition, could be explained more explicitly.

Criteria C: Critical Thinking

10/12

Criteria StrandsPro

C.1Research quality

Moderate

C.2Analysis depth

Moderate

C.3Discussion and evaluation

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.

Criteria D: Presentation

3/4

Criteria StrandsPro

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.