Each cluster shows where the same content lives in other major curricula, plus open‑licensed resources curated underneath. Sources are official ministry documents — never inferred.
Extend Y7 number; powers and roots; standard form; rounding to significant figures; rational and irrational distinctions begin.
Australia ACARA≡ EQUIVALENT
Number — Year 8
US Common Core≡ EQUIVALENT
The Number System (8.NS)
Both introduce rational vs. irrational distinction; UK adds standard form.
CLUSTER 02 · 6
Algebra (Y8)
Manipulate algebraic expressions; expand and factorise; solve linear equations; introduce sequences and functional notation.
US Common Core≡ EQUIVALENT
Expressions and Equations (8.EE)
Functions (8.F)
UK Y8 introduces functional notation; full functions strand develops in Y9-Y10.
CLUSTER 03 · 6
Ratio, proportion and rates of change (Y8)
Use scale factors, scale diagrams and maps; direct and inverse proportion in graphs and tables.
US Common Core≈ OVERLAPS
Expressions and Equations (8.EE)
UK splits proportion into its own strand; 8.EE links proportion to linear equations.
CLUSTER 04 · 6
Geometry and measures (Y8)
Pythagoras' theorem in 2D; area and circumference of circles; volume of prisms; transformations including translation, rotation, reflection and enlargement.
Australia ACARA≈ OVERLAPS
Measurement — Year 8
Space — Year 8
US Common Core≡ EQUIVALENT
Geometry (8.G)
CLUSTER 05 · 6
Probability (Y8)
Theoretical probability; sample space diagrams; tree diagrams introduced; relative frequency.
Australia ACARA≡ EQUIVALENT
Probability — Year 8
US Common Core≈ OVERLAPS
Statistics and Probability (8.SP)
8.SP is bivariate-focused; UK Y8 probability covers theoretical probability + tree diagrams (in 8.SP only via two-way tables).
CLUSTER 06 · 6
Statistics (Y8)
Construct and interpret statistical diagrams; calculate and compare measures of central tendency and spread; bivariate data introduced.
Australia ACARA≡ EQUIVALENT
Statistics — Year 8
US Common Core≡ EQUIVALENT
Statistics and Probability (8.SP)
Both introduce bivariate data and scatter-plot patterns.