Complex Plane Lab
Introduction to complex numbers · Using complex numbers
- Meet i
- Argand plane
- Arithmetic
- Equations
- De Moivre
- n-th roots
- Vectors & rotation
- Loci & regions
- Practice
Open lab9 stations
NESA Mathematics Extension 2 (2024 syllabus)
Choose a topic
Each lab has interactive diagrams, step-by-step derivations, quizzes and fresh practice questions with worked solutions.
Proof Workshop
The nature of proof · Further proof by induction
- Logic
- Implications
- Contradiction
- Integers
- Inequalities
- Induction
- Spot the error
- Practice
Open lab8 stations
Vector Lab
Further work with vectors
- Lines in 2D
- Intersections
- Lines in 3D
- Curves
- Circles & spheres
- Dot product
- Geometry & proof
- Practice
Open lab8 stations
Integration Lab
Further integration
- Trig products
- t-formulas
- Substitution
- Partial fractions
- Rational functions
- By parts
- Recurrences
- Practice
Open lab8 stations
Mechanics Lab
Applications of calculus to mechanics
- Forces
- SHM
- Planes & pulleys
- Resisted motion
- Vertical
- Projectiles
- Practice
Open lab7 stations
For students
- Work through the stations in order, or jump to what you need.
- Drag points, move sliders and type your own expressions: every result updates live.
- My progress (top right of each lab) records the puzzles you solve and the questions you answer. Copy the summary and send it to your teacher.
- Progress stays on this device only. Nothing is uploaded.
For teachers
- Present enlarges text and diagrams for the projector. It stays on as you move between labs.
- Use “Next step” reveals to build derivations live, then let students try the practice station.
- Practice stations mix multiple choice, typed answers and HSC-style multi-part questions with a marking guide.
- Ask students to paste their progress summary into your LMS or an email.