math aa hl Flashcards
What is the IB Mathematics AA HL Internal Assessment (IA)?
A mathematical exploration (independent research paper)
Counts for 20% of the final IB Math AA HL grade
Should focus on a mathematical concept, problem, or real-life application
Word count: 6–12 pages (no strict word limit, but concise writing is key)
What is the structure of a Math IA?
Title Page (Title, Name, Candidate Number)
Introduction (Context, Aim, and Rationale)
Mathematical Exploration (Concepts, Equations, Theorems, Proofs, Applications)
Reflection & Evaluation (Strengths, Limitations, Further Exploration)
Conclusion (Final Thoughts)
Bibliography (All sources used)
💡 Tip: Use clear headings and structure to enhance readability.
What makes a good Math IA topic?
✅ Interest-driven (Choose something you’re passionate about!)
✅ Challenging but doable (Must go beyond SL but not PhD-level!)
✅ Well-supported by mathematics (Use equations, models, graphs)
✅ Original or unique perspective (Show personal engagement)
💡 Example Topics:
Game Theory in Poker 🎲
Mathematics of Music & Harmonics 🎵
Fractals & the Mandelbrot Set 🔢
Optimization in Stock Trading 📈
What does Criterion A assess?
Clarity of writing and structure
Logical organization of ideas
Use of diagrams, graphs, and equations
Appropriate notation and terminology
💡 Tip: Keep explanations concise and well-formatted!
What does Criterion B assess?
✅ Correct use of symbols, definitions, and equations
✅ Step-by-step explanations of calculations
✅ Clearly labeled graphs and diagrams
💡 Tip: If a reader cannot follow your math, your communication is weak!
What does Criterion C assess?
Original thinking & creativity in approach
Connection to real-world applications
Personal reflection on learning & challenges
💡 Tip: Show why the topic matters to you!
What does Criterion D assess?
✅ Critique of the mathematical process (Strengths & Weaknesses)
✅ Possible improvements or extensions
✅ How the exploration changed your perspective
💡 Tip: Go beyond just stating results—analyze your own work!
What does Criterion E assess?
✅ Complexity & depth of mathematics used
✅ Correct application of mathematical methods
✅ Logical and rigorous problem-solving
💡 Tip: HL students must go beyond basic algebra—use calculus, proofs, or statistical analysis!
What are common mistakes in the Math IA?
❌ Choosing an overused or too simple topic
❌ Too much history/context, not enough math
❌ Messy or unclear mathematical reasoning
❌ Ignoring limitations and self-reflection
💡 Tip: Make sure your math is the central focus!
How can you ace the Math IA?
✅ Pick a unique, engaging topic
✅ Ensure mathematical depth (beyond SL level)
✅ Use graphs, diagrams, and visualizations
✅ Explain every step logically and clearly
✅ Reflect on your process and findings
💡 Tip: Start early, revise often, and get feedback from teachers!
