Pathway / Mathematics

Mathematics from quantity to uncertainty

Build quantities into functions, vectors, change, and evidence—then carry those structures into code and physical models.

Route: 5 connected lessons
Access: Open without an account
Evidence: Retrieval + transfer, never an opaque percentage

Continuous spine

Start where your evidence starts.

Quantities, ratios, and scale

Treat numbers as measured relationships rather than marks on a page.

Functions as dependence

Read a function as a dependable relationship between changing quantities.

Vectors and coordinate change

Separate a geometric direction from the coordinates used to describe it.

Change and accumulation

See derivatives and integrals as two views of how local change builds a whole.

Probability as evidence

Use distributions to reason about uncertainty without pretending it disappears.

A route, not a rank

Evidence changes the next step.

Atlas records learning as unseen, developing, demonstrated, or needs refresh. Demonstrated requires unhinted evidence in two different forms, including delayed retrieval or transfer. A later miss asks for refresh; it does not erase earlier work.

Read the learning evidence policy