Cross‑walk · Math · Year 10

Math, Year 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
Year 10
Home system
UK National Curriculum
≡ Equivalent≈ Overlaps→ Prereq↑ Extends
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CLUSTER 01 · 6

Algebra (Y10) — manipulation, factoring, completing the square

Factorise quadratics; complete the square; solve quadratics by factorising or completing the square; algebraic fractions; expand triple brackets.

Australia ACARA≡ EQUIVALENT
Algebra — Year 9
Number — Year 9
AU Y9 emphasises index laws and scientific notation; UK distributes across Y9-Y11.
US Common Core≡ EQUIVALENT
Seeing Structure in Expressions (A.SSE)
Both cover factorising and completing the square.
CLUSTER 02 · 6

Equations and graphs (Y10)

Solve linear equations and systems; solve quadratics; recognise and use linear, quadratic, exponential, and reciprocal graphs; equations of straight lines.

US Common Core≡ EQUIVALENT
Creating + Reasoning with Equations (A.CED + A.REI)
Linear, Quadratic, and Exponential Models (F.LE)
CLUSTER 03 · 6

Functions and sequences (Y10)

Function notation; composite and inverse functions; arithmetic and geometric sequences; nth-term rules.

US Common Core≡ EQUIVALENT
Functions — interpret, build, compare (F.IF + F.BF)
CLUSTER 04 · 6

Ratio, proportion, growth and decay (Y10)

Direct and inverse proportion; compound measures; exponential growth and decay; iterative processes.

US Common Core≡ EQUIVALENT
Linear, Quadratic, and Exponential Models (F.LE)
Exponential growth/decay covered in both.
CLUSTER 05 · 6

Geometry and measures (Y10)

Trigonometry in right-angled triangles; circle theorems; vectors; arc length and sector area.

Australia ACARA≡ EQUIVALENT
Measurement — Year 9
Both cover right-angled trigonometry. US students typically meet trig in Geometry (Grade 10) rather than Algebra I.
CLUSTER 06 · 6

Statistics (Y10)

Frequency trees; cumulative frequency; box plots; histograms; correlation and lines of best fit; sampling and bias.

Australia ACARA≡ EQUIVALENT
Statistics — Year 9
US Common Core≡ EQUIVALENT
Statistics — Interpreting Categorical and Quantitative Data (S.ID)
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
Evidence trail
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