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.
Trigonometry in right-angled and general triangles; sine and cosine rules; area of a triangle using ½ab sin C; exact values for common angles.
US Common Core≡ EQUIVALENT
Similarity, Right Triangles, and Trigonometry (G.SRT)
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.6 Trigonometry
Right-triangle + general-triangle trig; sine and cosine rules; ½ab sin C; exact angle values.
CLUSTER 03 · 7
Circle theorems (Y11)
Angle at the centre vs. circumference; angles in same segment; cyclic quadrilaterals; tangent-radius relationships; alternate segment theorem.
US Common Core≡ EQUIVALENT
Circles (G.C)
Both treat circle theorems formally.
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.4 Geometry
Circle theorems: angle at centre vs. circumference, cyclic quadrilaterals, tangent-radius, alternate segment.
CLUSTER 04 · 7
Coordinate geometry & vectors (Y11)
Equations of straight lines; parallel and perpendicular gradients; midpoint and distance; equation of a circle; vector arithmetic and geometric proof using vectors.
US Common Core≈ OVERLAPS
Coordinate Geometry (G.GPE)
UK Y11 includes vectors and the equation of a circle; G.GPE focuses on conic-section equations.
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.3 Coordinate geometry
Equations of straight lines, parallel/perpendicular gradients, midpoint, distance, equation of a circle.
IGCSE 0580.7 Transformations and vectors
UK Y11 covers vector arithmetic and geometric proof using vectors; IGCSE pairs vectors with rigid transformations.
CLUSTER 05 · 7
Mensuration & 3D (Y11)
Surface area and volume of pyramids, cones, spheres, frustums and composite solids; arc length and sector area; plans and elevations.
Australia ACARA≡ EQUIVALENT
Measurement — Year 10
US Common Core≡ EQUIVALENT
Geometric Measurement and Dimension (G.GMD + G.MG)
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.5 Mensuration
Surface area and volume of pyramids, cones, spheres, frustums, composite solids; arc length, sector area.
CLUSTER 06 · 7
Quadratics, functions, sequences (Y11)
Solve quadratics by factorising, completing the square, formula; quadratic graphs and their features; further sequences; iteration.
Australia ACARA≡ EQUIVALENT
Algebra — Year 10
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
UK Y11 Quadratics/functions/sequences matches IGCSE algebra strand closely.
CLUSTER 07 · 7
Statistics & probability (Y11)
Cumulative frequency, box plots, histograms with unequal class widths; probability with combined events; tree diagrams and conditional probability informally.
Australia ACARA≡ EQUIVALENT
Statistics — Year 10
Probability — Year 10
Cambridge IGCSE≈ OVERLAPS
IGCSE 0580.8 Probability
UK Y11 combines stats + probability in one strand; IGCSE separates them.
IGCSE 0580.9 Statistics
UK Y11: cumulative frequency, box plots, histograms with unequal class widths.