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.
Surds and index laws including fractional indices; logarithms introduced; rational and irrational distinctions consolidated.
Cambridge IGCSE≈ OVERLAPS
IGCSE 0580.1 Number
IGCSE Number includes standard form + surds (Extended); ACARA Y10 Number covers surds, index laws, logs introduction.
CLUSTER 02 · 6
Algebra — Year 10
Solve quadratic equations by factorising and completing the square; introduce the quadratic formula; manipulate algebraic fractions; simultaneous linear and non-linear equations.
UK National Curriculum≡ EQUIVALENT
Quadratics, functions, sequences (Y11)
Quadratic methods consolidated at this stage in UK and AU; US students meet these in Algebra I (G9) + Algebra II (G11).
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.2 Algebra and graphs
Quadratics by factorising + completing square + formula; algebraic fractions; simultaneous linear and non-linear systems.
CLUSTER 03 · 6
Measurement — Year 10
Surface area and volume of pyramids, cones, spheres and composite solids; arc length and sector area; trigonometric ratios applied in non-right triangles (sine and cosine rules in 10A optional extension).
US Common Core≈ OVERLAPS
Similarity, Right Triangles, and Trigonometry (G.SRT)
Sine and cosine rules are 10A (optional advanced) in AU Y10; standard in UK Y11 and US HS Geometry.
Circles (G.C)
AU Y10 covers arcs/sectors but not the full set of circle theorems at the same depth.
Geometric Measurement and Dimension (G.GMD + G.MG)
UK National Curriculum≡ EQUIVALENT
Mensuration & 3D (Y11)
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.5 Mensuration
ACARA Y10 Measurement: SA/V of pyramids, cones, spheres, composite solids.
IGCSE 0580.6 Trigonometry
ACARA bundles non-right trig under Measurement; sine/cosine rules sit in optional 10A.
CLUSTER 04 · 6
Space — Year 10
Geometric reasoning with congruence and similarity criteria; coordinate geometry of straight lines; geometric proof using deduction.
US Common Core≡ EQUIVALENT
Congruence (G.CO)
Coordinate Geometry (G.GPE)
AU Y10 coordinate geometry is straight-line focused; equation-of-a-circle in 10A.
UK National Curriculum≡ EQUIVALENT
Geometric reasoning & proof (Y11)
Cambridge IGCSE≈ OVERLAPS
IGCSE 0580.3 Coordinate geometry
ACARA Y10 Space includes coordinate geometry of straight lines; IGCSE adds circle equations.
IGCSE 0580.4 Geometry
ACARA Y10 Space: congruence/similarity + geometric proof; circle theorems are 10A extension.
CLUSTER 05 · 6
Statistics — Year 10
Compare data sets including box plots; bivariate data and lines of best fit by inspection; investigate a wider range of data displays.
UK National Curriculum≡ EQUIVALENT
Statistics & probability (Y11)
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.9 Statistics
ACARA Y10 Statistics: box plots, bivariate data, lines of best fit.
CLUSTER 06 · 6
Probability — Year 10
Conditional probability informally; independence; tree diagrams and two-way tables; describe events using set notation.
UK National Curriculum≡ EQUIVALENT
Statistics & probability (Y11)
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.8 Probability
ACARA Y10 Probability: conditional probability, independence, tree diagrams, two-way tables.