IB Mathematics Analysis and Approaches (AA) SL Internal Assessment Exemplar
Modeling free throws of basketball.
Overall Score: 13/20
IB Grade: 5
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General feedback
13/20
0
10
20
6.1·suggestion
Page 3
Defining the flat terrain assumption simplifies the model but undermines realism. Consider discussing how slight court inclines or floor compliance could influence results.
Criteria A: Presentation
2/4
0
2
4
Criteria Strands
Good
Coherence and logical development
Good
Organization and structure
Moderate
Conciseness and relevance
Criteria Feedback
- Clear section headings improve navigation
- Logical sequence from introduction through conclusion
- Overly verbose introduction with digressions
- Excessive raw‐data screenshots introduce repetition
Criteria B: Mathematical Communication
3/4
0
2
4
Criteria Strands
Good
Mathematical language and notation
Good
Multiple representations
Good
Logical structure and clarity
Criteria Feedback
- Generally consistent use of mathematical notation and terminology
- Effective integration of graphs, tables and schematic diagrams
- Inconsistent symbols (e.g. V_γ vs V_x) and occasional typographic slips
- Some minimal captions and swapped variable definitions
Criteria C: Personal Engagement
2/3
0
2
3
Criteria Strands
Good
Independent thinking
Good
Personal approach
Good
Creativity and initiative
Criteria Feedback
- Personal motivation (basketball free throws) clearly frames the investigation
- Use of video analysis and self‐collected data shows initiative
- Approach closely mirrors classroom examples without novel extensions
- Limited deeper reflection on how the project shaped personal understanding
Criteria D: Reflection
2/3
0
2
3
Criteria Strands
Good
Depth of reflection
Good
Critical analysis
Good
Evaluation of outcomes
Criteria Feedback
- Meaningful reflection on modelling limitations and errors
- Thoughtful comparison of experimental and theoretical angles
- Limited quantitative discussion of air resistance effects
- Brief mention of future improvements without in‐depth evaluation
Criteria E: Use of Mathematics
4/6
0
3
6
Criteria Strands
Good
Relevance of mathematics
Good
Level appropriateness
Good
Understanding and accuracy
Criteria Feedback
- Relevant projectile-motion, regression and optimisation techniques applied effectively
- Derivations and statistical summaries are generally correct and well presented
- Minor notational and parameter inconsistencies
- Omission of integration constant discussion and sign‐convention clarity