Number
Algebra
Ratio Proportion & Rates of Change
Geometry & Measure
Probability
Statistics
Compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios)

Convert between related compound units (speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts

Understand that X is inversely proportional to Y is equivalent to X is proportional to 1/y; {construct and} interpret equations that describe direct and inverse proportion

Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion

{Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of instantaneous and average rate of change (gradients of tangents and chords) in numerical, algebraic and graphical contexts}

Set up, solve and interpret the answers in growth and decay problems, including compound interest {and work with general iterative processes}

Page 6 - KS4 Ratio Proportion & Rates of Change

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