1. Course Objectives & Academic Expectations
The IB Maths IA is assessed using the same rubric for all students — whether they’re taking Maths: Analysis and Approaches (AA) or Maths: Applications and Interpretation (AI) at Standard Level (SL) or Higher Level (HL). However, the course objectives shape the style, approach, and often the type of topic students feel comfortable exploring.
AA – Analysis and Approaches | AI – Applications and Interpretation |
Focuses on theoretical math, including:
• Algebra, functions, trigonometry, calculus, and proofs. | Focuses on applied math with:
• Data analysis, modeling, technology, and statistics |
Emphasizes:
• Logical reasoning
• Abstract thinking
• Conjecturing and mathematical proof | Emphasizes:
• Real-world problem-solving
• Mathematical modeling
• Use of technology (spreadsheets, simulations, graphing calculators) |
Proof-heavy, abstract reasoning | Real-world applications and modeling |
2. Differences Between AA and AI Students in the IA
Key Insight: There are no IA topics exclusive to either AA or AI.
The same standards and assessment criteria apply to both courses.
That said, students naturally gravitate toward topics aligned with their course strengths:
AA Tendencies | AI Tendencies |
Theoretical and abstract exploration | Data-driven, practical applications |
Algebraic derivations and analytical models | Simulations, spreadsheet modeling |
Conjectures, formulas, and logical proofs | Real-world scenarios and modeling |
Less technology-dependent | Heavy use of technology and computation tools |
Remember: A high-scoring IA in AA can also score highly in AI and vice versa. Your mathematical depth, clarity, and engagement matter more than the course label.
Examples:
•
AA: Exploring convergence of infinite series, proving identities, optimizing functions analytically.
•
AI: Modeling population growth with logistic equations, analyzing social media trends with regression, simulating traffic flow.
3. SL vs HL Expectations – A Deeper Dive into Criterion E
Criterion E (Use of Mathematics) is where the expectations differ most clearly between Standard Level (SL) and Higher Level (HL) students.
SL | HL |
KISS Principle – Keep It Simple, SL | Precision, Sophistication, and Rigor |
Thorough understanding of a single topic is enough. | Select more complex or challenging topics, ideally from HL content or beyond. |
No need to go beyond syllabus content. | Show mathematical sophistication
• Linking multiple concepts.
• Using advanced problem-solving techniques.
• Conducting deeper analysis or derivations. |
Simpler models and computations are acceptable if well explained. | Maintain rigor in logic and justification:
• Every claim must be backed with mathematical reasoning.
• Arguments should be clear, error-free, and well-structured. |
HL IA Strategy:
•
Choose a challenging, layered topic.
•
Make interdisciplinary connections where possible (e.g., physics, economics, coding).
•
Highlight your ability to reason, prove, and model at a high level.
Aspect | SL | HL |
Topic Complexity | Moderate; syllabus-aligned | High; ideally HL-level or beyond |
Depth of Math | Thorough explanation | Thorough + sophisticated techniques |
Technology Use | Recommended | Expected and integrated strategically |
Proofs & Derivations | Optional | Expected (especially in AA HL) |
Inter-topic Links | Helpful | Strongly encouraged |