IBDP Mathematics: Analysis & Approaches · Building Thinking Classrooms

Activity
Library

Each activity is designed for students working on a whiteboard, in visibly random groups, with thin-sliced questioning.

6+
Activities available
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How to use this portal Each activity has three versions: Student (password-gated interactive HTML for student devices), Teacher Answers (full worked solutions + marking guidance), and Print + QR (cut-apart cards and a scannable QR code for the classroom).
Topic 1

Number & Algebra

Sequences · Logs · Binomial · Proof · Complex numbers

2 activities
SL & HL · 1.2
The Auditorium
Arithmetic sequences and series — students discover the nth term, derive the Gauss sum formula from first principles, and decode sigma notation through a concert hall design scenario.
⏱ ~40 min 👥 Groups of 3–4 SL & HL
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
HL · 1.12 · 1.13 · 1.14
The Tiling Collective
Geometry of nth roots of complex numbers — students discover the equal-spacing formula from polygon geometry, then reverse-engineer a mystery tile using De Moivre's theorem.
⏱ 40–45 min 👥 Groups of 3–4 HL only
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
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More coming soonGeometric sequences, logarithms, binomial theorem, proof by induction…
Topic 2

Functions

Transformations · Inverses · Rational functions · Modelling

0 activities
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Activities coming soonFunction transformations, rational functions, modelling with functions…
Topic 3

Geometry & Trigonometry

Trig identities · Unit circle · Vectors · Voronoi

0 activities
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Activities coming soonTrigonometric equations, 3D geometry, vectors, Voronoi diagrams…
Topic 4

Statistics & Probability

Sampling · Distributions · Regression · Bayes

2 activities
SL & HL · 4.1 · 4.2 · 4.3
The City Sleep Study
Descriptive statistics review — sampling methods, cumulative frequency, mean, standard deviation, box plots, and linear transformations.
⏱ 35–40 min 👥 Groups of 3–4 SL & HL
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
SL & HL · 4.4 · 4.10
The Soccer Scout Report
Bivariate statistics — scatter diagrams, Pearson's correlation coefficient, regression lines, and interpretation of results in context.
⏱ 40–45 min 👥 Groups of 3–4 SL & HL
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
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More coming soonProbability distributions, regression, Bayes' theorem…
Topic 5

Calculus

Differentiation · Integration · Kinematics · Differential equations

2 activities
HL · 5.13
Limits of Trig Expressions using Maclaurin Series
Evaluating limits involving trigonometric and rational terms — Maclaurin series, L'Hôpital's rule, and conditions for finite limits.
⏱ ~25 min 👥 Groups of 3 HL only
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
HL · 5.9 · 5.16
The Fox & the Rabbit
Predator-prey ecological modelling — separable ODEs, equilibrium analysis, Euler's method for systems, phase portrait interpretation, and model critique.
⏱ 55–65 min 👥 Groups of 3–4 HL only
▶ Student version 📋 Answers 🖨 Print cards 📱 QR code
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More coming soonDifferentiation from first principles, integration techniques, kinematics…