Idea and goal
A simple explanation, learning intention, success criteria and the central mathematical result.
Mathematics learning library
See the idea, follow the method, then try it yourself.
All 286 micro-lessons have been rebuilt for students. Each lesson uses plain explanations, a visual guide, two guided examples, and two independent questions with answers that stay hidden until they are needed.
One consistent lesson structure
Understand the idea before copying the method.
Every lesson moves from meaning to visualisation, guided practice and independent work. The structure stays familiar even when the mathematics becomes more advanced.
Visual guide
An accessible inline diagram, graph or model that shows the main relationship.
Two guided examples
The original annotated working plus a second guided application and check.
Two independent questions
Hints are optional and answers remain hidden until the student chooses to reveal them.
Library browser
Find a method, then learn it in context.
Search includes formulas, explanations, annotations, applications, cautions, tags, and LaTeX source. Filters and the selected lesson remain in the page address.
Loading mathematics library…
0 of 286 lessons completed locally.
↑↓ move through results
Lessons
★ favourite · ✓ completedNo matching mathematics.Remove a filter or search for a broader concept.
Select a lesson from the library.
Its explanation, visual guide, two guided examples, two independent questions, applications, cautions, source, and related lessons will appear here.
Coverage
School mathematics, advanced methods, and applied models.
Select a strand below to move directly into that part of the library. Each card reports both lesson count and annotated working steps.
Connected writing
The reasoning behind the library
Connected notes on why mathematics matters, what calculus means, and how exact working is checked.