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.
Use ratio notation; reduce ratios to simplest form; divide a quantity in a given ratio; relate ratios to fractions and to linear functions.
Australia ACARA≡ EQUIVALENT
Number — Ratios
US Common Core≡ EQUIVALENT
Ratios and Proportional Relationships (7.RP)
Tight match: ratio reasoning, unit rates, percent.
India CBSE / NCERT≡ EQUIVALENT
Comparing Quantities (Class 7)
CLUSTER 02 · 6
Number
Use the four operations applied to integers, decimals and simple fractions; understand and use place value; use prime factorisation, HCF, LCM.
Australia ACARA≈ OVERLAPS
Number — Operations with rationals
US Common Core≡ EQUIVALENT
The Number System (7.NS)
Both cover four operations across rationals; UK adds prime factorisation explicitly.
Cambridge Lower Secondary≡ EQUIVALENT
Number — Stage 7
India CBSE / NCERT≡ EQUIVALENT
Integers · Fractions and Decimals · Rational Numbers (Class 7)
CLUSTER 03 · 6
Algebra
Use and interpret algebraic notation; substitute numerical values into expressions; simplify and manipulate algebraic expressions; solve linear equations in one variable.
Australia ACARA≡ EQUIVALENT
Algebra
US Common Core≡ EQUIVALENT
Expressions and Equations (7.EE)
Both: simplify, evaluate, solve one-variable linear equations.
Derive and apply formulae to calculate area and volume of standard shapes; understand and use the properties of angles at a point, on a straight line, vertically opposite, and in parallel lines.