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Higher tier
Numbers and the number system
Types of number, factors and multiples · Fractions and decimals · Indices and standard form · Surds · Percentages, interest, growth and decay · Ratio, proportion and rates · Estimation and limits of accuracy · Sets and Venn diagrams8 subtopic lessonsEquations, formulae and identities
Higher tier: completing the squareExpanding and factorising · Algebraic fractions and formulae · Linear and simultaneous equations · Quadratic equations · Inequalities and regions · Direct and inverse proportion6 subtopic lessonsSequences, functions and graphs
Sequences · Functions · Gradients and straight lines · Parallel and perpendicular lines · Travel graphs and curves · Gradients of curves and graphical solutions6 subtopic lessonsGeometry and trigonometry
Angles and polygons · Circle theorems · Similarity and congruence · Bearings, scale drawings and symmetry · Constructions and loci · Perimeter, area and units · Circles, arcs and sectors · Prisms and cylinders · Pyramids, cones and spheres · Pythagoras' theorem · Right-angled trigonometry · Sine rule, cosine rule and area · Trigonometry in three dimensions13 subtopic lessonsVectors and transformation geometry
Reflections, rotations and translations · Enlargements and combined transformations · Column vectors and magnitude · Vector geometry4 subtopic lessonsStatistics and probability
Collecting data and stem-and-leaf diagrams · Averages and range · Charts, tables and scatter diagrams · Cumulative frequency · Histograms · Single events and relative frequency · Combined events and tree diagrams · Without replacement and Venn diagrams8 subtopic lessons