Cross‑walk · Math · Grade 10

Math, Grade 10 — across mapped systems.

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.

Subject
Math
Grade
Grade 10
Home system
US Common Core
≡ Equivalent≈ Overlaps→ Prereq↑ Extends
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CLUSTER 01 · 5

Congruence (G.CO)

Experiment with transformations in the plane; understand congruence in terms of rigid motions; prove geometric theorems; make geometric constructions.

UK National Curriculum≡ EQUIVALENT
Geometric reasoning & proof (Y11)
Both establish congruence formally and use it in proofs.
Australia ACARA≡ EQUIVALENT
Space — Year 10
Cambridge IGCSE≈ OVERLAPS
IGCSE 0580.4 Geometry
US G.CO: congruence via rigid motions + geometric proof — IGCSE Extended emphasises classical Euclidean style.
IGCSE 0580.7 Transformations and vectors
US G.CO includes the transformation strand; IGCSE bundles transforms with vectors.
Recommended · 2 resources
VIDEOKhan Geometry — Foundations & congruence· Khan Academy · free‑link
SIMULATIONGeoGebra — Congruent triangles activity· GeoGebra · free‑link
CLUSTER 02 · 5

Similarity, Right Triangles, and Trigonometry (G.SRT)

Define similarity through dilations; prove theorems involving similarity; define trigonometric ratios and solve right triangles; apply trigonometry to general triangles (Law of Sines, Cosines).

UK National Curriculum≡ EQUIVALENT
Trigonometry (Y11)
Australia ACARA≈ OVERLAPS
Measurement — Year 10
Sine and cosine rules are 10A (optional advanced) in AU Y10; standard in UK Y11 and US HS Geometry.
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.6 Trigonometry
US G.SRT: trig ratios in right triangles + Law of Sines/Cosines.
Recommended · 2 resources
VIDEOKhan Geometry — Right triangles and trig· Khan Academy · free‑link
VIDEO3Blue1Brown — Geometry intuition· 3Blue1Brown · free‑link
CLUSTER 03 · 5

Circles (G.C)

Theorems about circles; arc length, sector area; relationships among inscribed angles, radii, chords, tangents.

UK National Curriculum≡ EQUIVALENT
Circle theorems (Y11)
Both treat circle theorems formally.
Australia ACARA≈ OVERLAPS
Measurement — Year 10
AU Y10 covers arcs/sectors but not the full set of circle theorems at the same depth.
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.4 Geometry
US G.C: theorems about circles.
Recommended · 2 resources
VIDEOKhan Geometry — Circles· Khan Academy · free‑link
SIMULATIONGeoGebra — Circle theorems explorer· GeoGebra · free‑link
CLUSTER 04 · 5

Coordinate Geometry (G.GPE)

Translate between geometric description and equation for conic sections; use coordinates to prove simple geometric theorems algebraically.

UK National Curriculum≈ OVERLAPS
Coordinate geometry & vectors (Y11)
UK Y11 includes vectors and the equation of a circle; G.GPE focuses on conic-section equations.
Australia ACARA≈ OVERLAPS
Space — Year 10
AU Y10 coordinate geometry is straight-line focused; equation-of-a-circle in 10A.
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.3 Coordinate geometry
US G.GPE: translate between geometric description and equation; use coordinates to prove theorems.
Recommended · 2 resources
VIDEOKhan Geometry — Coordinate geometry· Khan Academy · free‑link
SIMULATIONDesmos graphing calculator· Desmos · free‑link
CLUSTER 05 · 5

Geometric Measurement and Dimension (G.GMD + G.MG)

Volume formulas for cylinders, pyramids, cones, spheres; visualise relationships between 2D and 3D objects; modelling with geometry.

UK National Curriculum≡ EQUIVALENT
Mensuration & 3D (Y11)
Australia ACARA≡ EQUIVALENT
Measurement — Year 10
Cambridge IGCSE≡ EQUIVALENT
IGCSE 0580.5 Mensuration
US G.GMD/G.MG: volume formulas + modelling with geometry.
Recommended · 2 resources
VIDEOKhan Geometry — Solid geometry· Khan Academy · free‑link
TEXTBOOKOpenStax Elementary Algebra — Roots and dimensional methods· OpenStax · open
Same subject — other systems
Grade 10

Australia ACARA

6 clusters
Open
Grade 6

Australia ACARA

6 clusters
Open
Grade 7

Australia ACARA

7 clusters
Open
Grade 8

Australia ACARA

6 clusters
Open
Grade 9

Australia ACARA

6 clusters
Open
Grade 10

Cambridge IGCSE

9 clusters
Open
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