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Led by Eratosthenes of Cyrene Simulacrum
The second module of the OCR GCSE Mathematics course — ratio, direct and inverse proportion, growth and decay. Hosted by Eratosthenes of Cyrene Simulacrum.
Led by Eratosthenes of Cyrene Simulacrum
The question
Simplifying ratios, dividing quantities in two or three parts given a ratio, interpreting ratios as fractions of the whole, and solving ratio and proportion problems in context — recipes, currency, maps. Covers the relationship between ratio and linear functions.
Outcome
The student can simplify ratios, divide quantities in a given ratio, interpret ratios as fractions, and solve contextual proportion problems. (Proportional reasoning)
Sub-units
Led by Eratosthenes of Cyrene Simulacrum
The question
The two fundamental proportional relationships — direct proportion (doubling one doubles the other) and inverse proportion (doubling one halves the other). Covers algebraic forms (y = kx, y = k/x), currency conversion, and at Higher tier, formulating equations where proportion involves powers or roots.
Outcome
The student can solve direct and inverse proportion problems and recognise their algebraic forms. (Proportional relationships)
Sub-units
Led by Eratosthenes of Cyrene Simulacrum
The question
Repeated percentage change — simple interest, compound interest, depreciation. Covers step-by-step multiplier problems over multiple intervals, and at Higher tier, expressing exponential growth or decay as a formula (e.g. A = P × r^n) and solving problems using it.
Outcome
The student can calculate simple and compound interest, solve depreciation problems, and express growth and decay as exponential formulae. (Financial and exponential reasoning)
Sub-units