| Calculations, checking and rounding |
Probability |
| Indices, roots, reciprocals and hierarchy of operations |
Multiplicative reasoning |
| Factors, multiples, primes, standard form and surds |
Similarity and congruence in 2D and 3D |
| Algebra: the basics, setting up, rearranging and solving equations |
Graphs and trigonometric functions |
| Sequences |
Further trigonometry |
| Averages and range |
Collecting data |
| Representing and interpreting data and scatter graphs |
Cumulative frequency, box plots and histograms |
| Fractions and percentages |
Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics |
| Ratio and proportion |
Circle theorems |
| Polygons, angles and parallel lines |
Circle geometry |
| Pythagoras’ theorem and trigonometry |
Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof |
| Graphs: the basics and real-life graphs |
Vectors and geometric proof |
| Linear graphs and coordinate geometry |
Reciprocal and exponential graphs; gradient and area under graphs |
| Quadratic, cubic and other graphs |
Direct and inverse proportion |
| Perimeter, area and circles |
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| 3D forms and volume, cylinders, cones and spheres |
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| Accuracy and bounds |
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| Solving quadratic and simultaneous equations |
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| Inequalities |
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| Transformations |
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| Constructions, loci and bearings |
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