Everything, stage by stage

Stages are prerequisite tiers, only loosely age-anchored — a learner advances each strand as its prerequisites are met. A concept appears at the stage it is first met; many keep developing across several. Colours mark the strand.

Stage 0 Foundations ≈ ~5 yrs · Reception · GS maternelle · Kindergarten

N0.1 Subitizing & counting N0.2 Teen numbers as ten-and-ones

Stage 1 Stage 1 ≈ 6–7 yrs · Year 1 · CP · Grade 1

A1.1 Repeating patterns & sequences A2.1 The equals sign & unknowns C1.1 Sequences of instructions D1.1 Charts & tables F1.1 Halves, quarters & thirds of shapes G1.1 Naming 2-D & 3-D shapes M1.1 Measuring length M1.2 Telling time M1.3 Money N1.1 Whole numbers to 100 N1.1b Ordinal numbers N1.2 Place value to two digits N1.3 Number bonds & +/− within 20 P1.1 Position & direction R2.1 Chance language

Stage 2 Stage 2 ≈ 7–8 yrs · Year 2 · CE1 · Grade 2

M1.4 Temperature M2.1 Mass & capacity N2.1 Numbers to 1000 & skip-counting N2.2 Addition & subtraction facts & mental methods N2.6 Meaning of × and ÷ N3.1× The times tables (2, 5, 10 → 3, 4, 8) P2.1 Line symmetry

Stage 3 Stage 3 ≈ 8–9 yrs · Year 3 · CE2 · Grade 3

C3.1 Loops & repetition D3.1 Systematic counting & combinatorics D4.1 Scaled graphs & frequency F2.1 Fractions as numbers & equivalence G3.1 Shape properties, nets & perspective M3.1 Perimeter & unit conversion M4.2a Angles as turns N3.1 Place value to 10,000 & rounding N3.3 Roman numerals N3.2 Column addition & subtraction N3.4 Recall all multiplication & division facts P6.1 Tessellation & symmetry patterns

Stage 4 Stage 4 ≈ 9–10 yrs · Year 4 · CM1 · Grade 4

A4.1 Sequences from a rule C4.1 Conditionals, robotics & spreadsheets D4.2 Statistical enquiry & sampling F3.1 Fractions on the number line & as operators F4.1 Decimals via place value M4.1 Area M4.2b Measuring angles with a protractor N4.1 Place value to a million & negatives on the line N4.4 Multi-digit ×/÷ & divisibility P4.1 Coordinates & maps

Stage 5 Stage 5 ≈ 10–11 yrs · Year 5 · CM2 · Grade 5

F5.1 Decimal & fraction arithmetic F5.2 Percentages M5.1 Volume & surface area N5.1 Numbers to 10 million & the ×10/÷10 relationship N5.4 Long multiplication, primes, powers & roots P5.1 Transformations & similarity

Stage 6 Stage 6 ≈ 11–12 yrs · Year 6 / 7 · 6e · Grade 6

A6.1 Expressions, equations & the nth term D6.1 Averages, spread & pie charts F6.1 Dividing fractions F6.2 Ratio & proportional reasoning G6.1 Circles, angle facts & constructions M6.1 Circle measures N6.2 Standard form, significant figures & number sets N6.1 Negative numbers (integer arithmetic) R6.1 Quantifying probability

✳︎ Mathematical practices cross-cutting · every stage

X.1 Problem-solving X.2 Reasoning & proof X.3 Representation & communication X.4 Connections & financial literacy X.5 Tools & technology X.6 Affective & social X.7 Fluency thresholds