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

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

To‬‭ what‬‭ extent‬‭ can‬‭ the‬‭ Laplace‬‭ transform-derived‬‭ solutions‬‭ to‬‭ differential‬ equations‬‭ governing‬‭ damped‬‭ and‬‭ viscously‬‭ damped‬‭ oscillatory‬‭ motion‬ accurately model the motion of real-world oscillatory systems?‬ ‭SL

Official IB Result

IB Grade: A

Criteria A: Focus and Method

6/6

Criteria Strands

A.1Topic communication and explanation

Excellent

A.2Research question clarity and focus

Good

A.3Research methodology

Good

Criteria Feedback

You stated your research question clearly and kept the investigation connected to it throughout.
Your topic is communicated coherently, with a clear distinction between theory and experiment.
You selected a mathematically appropriate method and explained why it suits the problem.

The question is still a little broad in places, especially when it refers to wider real-world oscillatory systems.
Some parts of the method could be narrowed so that every section serves the main investigation more directly.
The comparison criteria would be stronger if they were stated more explicitly from the start.

Criteria B: Knowledge and Understanding

4/6

Criteria Strands

B.1Subject knowledge application

Good

B.2Use of terminology and concepts

Good

Criteria Feedback

You show good understanding of second-order differential equations and damping models.
You use mathematical terminology with mostly accurate and appropriate application.
You connect the mathematics to the physical system in a meaningful way rather than treating it as abstract manipulation.

Some terminology is used imprecisely, especially where amplitude, displacement, and significance are discussed.
A few claims would be stronger if they were supported more carefully with definitions or numerical evidence.
The source use is relevant overall, but not all material is integrated with equal precision.

Criteria C: Critical Thinking

11/12

Criteria Strands

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 Strands

D.1Structure appropriateness

Excellent

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

6/6

Criteria Strands

A.1Topic communication and explanation

Excellent

A.2Research question clarity and focus

Good

A.3Research methodology

Good

Criteria Feedback

You stated your research question clearly and kept the investigation connected to it throughout.
Your topic is communicated coherently, with a clear distinction between theory and experiment.
You selected a mathematically appropriate method and explained why it suits the problem.

The question is still a little broad in places, especially when it refers to wider real-world oscillatory systems.
Some parts of the method could be narrowed so that every section serves the main investigation more directly.
The comparison criteria would be stronger if they were stated more explicitly from the start.

Criteria B: Knowledge and Understanding

4/6

Criteria Strands

B.1Subject knowledge application

Good

B.2Use of terminology and concepts

Good

Criteria Feedback

You show good understanding of second-order differential equations and damping models.
You use mathematical terminology with mostly accurate and appropriate application.
You connect the mathematics to the physical system in a meaningful way rather than treating it as abstract manipulation.

Some terminology is used imprecisely, especially where amplitude, displacement, and significance are discussed.
A few claims would be stronger if they were supported more carefully with definitions or numerical evidence.
The source use is relevant overall, but not all material is integrated with equal precision.

Criteria C: Critical Thinking

11/12

Criteria Strands

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 Strands

D.1Structure appropriateness

Excellent

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.