Struggling to find the right IB Math Internal Assessment topic?
This Mathematical Modelling IA Mini Pack gives you three
carefully crafted topic frameworks — each one a structured
starting point that helps you develop a genuinely personal,
mathematically rich IA without doing the work for you.
WHAT’S INSIDE THIS PACK:
Framework 1 — Exponential Growth and Decay Modelling
Investigate how exponential functions of the form f(t) = ae^(bt)
model real-world processes that grow or decay over time. You’ll
fit a model to real data, interpret the growth or decay constant,
compute half-life or doubling time, and critically evaluate where
the model breaks down.
Framework 2 — Optimization Using Differential Calculus
Find the conditions that make a real-world quantity as large or
as small as possible. You’ll build an objective function, apply
constraint equations, use the first and second derivative tests
to locate the optimum, and compare your mathematical result to
real-world practice.
Framework 3 — Sinusoidal Modelling of Periodic Phenomena
Model a quantity that repeats cyclically using f(t) = A·sin(Bt+C)+D.
You’ll derive all four parameters from real data, overlay your
model on actual observations, compute residuals, and reflect on
the model’s accuracy.
EVERY FRAMEWORK INCLUDES:
✓ A broad, customizable mathematical approach
✓ Clear SL and HL pathways with different depth expectations
✓ 5 real-world context options so your IA is genuinely yours
✓ Step-by-step action plan (5 steps from idea to structure)
✓ Teacher discussion questions for fast approval
✓ The Uniqueness Test to confirm your topic is personal
and original
ALL MATHEMATICAL CONTENT STAYS WITHIN THE IB MATH AA
SYLLABUS:
• SL frameworks use only AA SL content
• HL extensions use only AA HL additional content
• No content outside the official IB Mathematics AA course
WHO IS THIS FOR?
IB Math AA SL and HL students in Grade 11 or 12 who need a
structured, academically honest starting point for their
Internal Assessment.
WHO IS THIS NOT FOR?
Students looking for a finished IA to copy. This pack gives
you the map — you walk the path yourself.
IMPORTANT — ACADEMIC INTEGRITY:
This pack provides topic frameworks and guidance only. You must
write your own exploration in your own words, collect your own
data, and develop your own analysis. This product helps you
start strong while staying completely within IB academic
integrity guidelines.
Delivered instantly as a single PDF download.
Price: $10.55
Browse all our IB Math IA resources at
SamzHub.
All content is aligned with the official
IB Mathematics AA syllabus.
