Each lesson follows the same pattern: rebuild the meaning → reconnect the familiar rule → diagnose the weak point → test whether you can explain it without the rule in front of you.

You may already be able to calculate correctly. That is useful, but it is not the only test. A rule is much more robust if you can reconstruct it when you forget it.

Use the matching learner lesson for interactive pictures and practice. Use the mature guide for the explanation, self-checks and connections between topics.

Paper strips, fraction circles, coins, counters and quick sketches let you see structure that symbols can hide. Use both kinds of whole: a single object split into pieces and a collection split into equal groups.

Useful question: “What is the whole in this example, and what size are the pieces?”

Money is especially useful. £1 = 100p and $1 = 100¢ make halves, quarters, hundredths, equivalence, addition, subtraction and regrouping immediately meaningful.

Time and measurement give other anchors: quarter-hours, half-hours, half litres and quarter metres all express the same fraction ideas in different settings.

Use familiar contexts as a bridge until the symbolic structure feels equally clear.

Equivalent fractions come early because they underpin later addition and simplification. General addition is delayed until Lesson 8 because it combines several ideas at once.

Multiplication appears first in simpler forms because “several lots of a fraction” and “a fraction of a fraction” are often conceptually cleaner than unlike-denominator addition.

Skip a lesson if the self-check genuinely feels secure, but return whenever a later method starts to feel mechanical.