This individual framework pack gives you one
complete, focused topic framework for your
IB Math AA Internal Assessment.
THE FRAMEWORK: Areas and Accumulation
This framework guides you through an investigation
using integration to calculate, compare, or
analyse cumulative quantities — area, volume,
total change, or accumulated value — in a
context that is personally meaningful to you.
MATHEMATICAL CONCEPTS:
✓ Definite and indefinite integration
✓ Area between curves
✓ Volumes of revolution (HL)
✓ Integration as accumulation of change
✓ Fundamental theorem of calculus
✓ Numerical integration methods
SL APPROACH:
Use integration to find area under a curve or
between curves in a meaningful real-world context.
Standard integration techniques are sufficient.
HL APPROACH:
Extend to volumes of revolution, improper integrals,
or more complex bounded regions. HL students can
also explore the connection between differentiation
and integration through the fundamental theorem.
PERSONALIZATION OPTIONS:
â–¡ Area of an architectural or natural shape
â–¡ Volume of a real object using revolution
â–¡ Total distance or displacement from velocity
â–¡ Accumulated cost or revenue over time
â–¡ Environmental measurement (rainfall, pollution)
â–¡ Your own context involving cumulative quantity
WHAT IS INCLUDED:
✓ Full framework description and aim guidance
✓ Criterion-by-criterion breakdown (A through E)
✓ SL and HL mathematical pathways
✓ Context and variable selection options
✓ Title template with examples
✓ 5-step action plan
✓ Teacher discussion questions
✓ Academic integrity guidelines
✓ Self-assessment checklist
IMPORTANT NOTE:
This framework is your starting point — not your
finished IA. Write everything in your own words
using your own data and chosen context.
FORMAT: PDF — instant download
PAGES: Approximately 8 pages
EDITION: 2026