Mathematics Applications & Interpretation (AI) IA Example: Taylor’s… | RevisionDojo
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IB Mathematics Applications & Interpretation (AI) HL Internal Assessment Example
Using Taylor’s series to match the motion of a
simple pendulum as the angle of release increases.HL
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7
Official IB Result
IB Grade: 7
Criteria A: Presentation
2/4
0
2
4
Criteria StrandsPro
A.1Coherence and logical development
Moderate
A.2Organization and structure
Good
A.3Conciseness and relevance
Moderate
Criteria Feedback
The student's investigation has a clear overall purpose and the reader can usually follow the route from the personal context to the mathematical comparison.
The student includes a sensible structure with sections, figures, tables, and a conclusion, which makes the work easy to navigate.
Most of the material stays relevant to the modelling question and supports the main line of inquiry.
Some sections are longer than necessary and reduce concision.
The link between the derived series work and the later fitted model is not fully coherent.
A few graphs and explanations add little to the main argument or are not well matched to the physical situation.
Criteria B: Mathematical Communication
2/4
0
2
4
Criteria StrandsPro
B.1Mathematical language and notation
Moderate
B.2Multiple representations
Good
B.3Clarity and consistency
Moderate
Criteria Feedback
The student uses relevant mathematical notation such as variables, derivatives, powers, summation-style expressions, regression output, and percentage error.
The student includes multiple representations, including symbolic work, tables, graphs, and model comparisons.
The mathematical writing is often readable, and the equations are usually set out clearly enough for the reader to follow.
Some notation is inconsistent, especially around angle units and the meaning of symbols.
Several terms are used imprecisely, such as describing a fitted curve as the true motion or using convergence language incorrectly.
Some graphs and labels are difficult to interpret, which limits clarity.
Criteria C: Personal Engagement
2/3
0
2
3
Criteria StrandsPro
C.1Independent thinking
Good
C.2Personal approach
Good
C.3Creativity and initiative
Good
Criteria Feedback
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Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
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Criteria D: Reflection
2/3
0
2
3
Criteria StrandsPro
D.1Depth of reflection
Good
D.2Critical analysis
Good
D.3Connection to understanding
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.
Criteria E: Use of Mathematics
5/6
0
3
6
Criteria StrandsPro
E.1Relevance and level
Moderate
E.2Accuracy and correctness
Poor
E.3Knowledge and understanding
Poor
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.