GCSE Maths
Pearson Edexcel 1MA1. 120 topics, 121 lessons, Foundation and Higher.
Number
Foundation and HigherNumber topics| Topic | Specification | Lessons | Try |
|---|
| Place value, ordering and decimal operations | N1, N2 | 2 | Try a lesson |
| Signed arithmetic and number lines | N1, N2 | 1 | |
| Operation order, inverses and reciprocals | N3 | 1 | |
| Primes, factor trees, HCF and LCM | N4 | 1 | |
| Systematic lists and combinations | N5 | 1 | |
| Integer powers and roots | N6, N7 | 1 | |
| Equivalent fractions and mixed numbers | N2, N10 | 1 | |
| Fraction arithmetic and exact answers | N2, N3, N8 | 1 | |
| Decimals, fractions and percentages | N10, N12 | 1 | |
| Metric units, money and dimensional conversion | N13, R1, G14 | 1 | |
| Estimation and sense checks | N14 | 1 | |
| Rounding, significant figures and error intervals | N15, N16 | 1 | |
| Standard form and calculator entry | N9, N2 | 1 | |
Ratio, proportion and rates of change
Foundation and HigherRatio, proportion and rates of change topics| Topic | Specification | Lessons | Try |
|---|
| Ratio notation and multiplicative comparison | R4, R6 | 1 | |
| Fractions within ratio problems | N11, R3, R5 | 1 | |
| Sharing quantities and equivalent ratios | R5, R7 | 1 | Try a lesson |
| Scale factors, scale drawings and maps | R2, G15 | 1 | |
| Percentages, changes and multipliers | N12, R9 | 1 | |
| Original values, profit and simple interest | R9 | 1 | Try a lesson |
| Compound growth and decay | R16, R9 | 1 | Try a lesson |
| Direct and inverse proportion: tables and relationships | R7, R10, R13 | 1 | |
| Speed, density, pressure and unit pricing | R1, R11, N13 | 1 | |
| Proportional graphs and rates of change | R8, R14 | 1 | |
Algebra
Foundation and HigherAlgebra topics| Topic | Specification | Lessons | Try |
|---|
| Algebraic language and notation | A1, A3 | 1 | |
| Substitution and calculator brackets | A2 | 1 | |
| Like terms and algebraic index rules | A4 | 1 | |
| Single brackets and common factors | A4 | 1 | |
| Expanding two binomials | A4 | 1 | |
| Monic quadratics and difference of squares | A4 | 1 | |
| Formulae and changing the subject | A5, A2 | 1 | |
| Identities and algebraic reasoning | A6 | 1 | |
| Input/output and inverse number machines | A7 | 1 | |
| Linear equations, including both sides | A17 | 1 | |
| Forming equations from situations | A21 | 1 | |
| One-variable linear inequalities | A22 | 1 | |
| Two linear simultaneous equations | A19 | 1 | Try a lesson |
| Solving monic quadratics by factorisation | A18 | 1 | |
| Coordinates and geometric problems on axes | A8, G11 | 1 | |
| Plotting lines, gradient and intercept | A9, A10 | 1 | |
| Equations of lines and parallel lines | A9, A10 | 1 | |
| Quadratic graphs, roots and turning points | A11, A12 | 1 | |
| Cubic, reciprocal and contextual graphs | A12, A14 | 1 | |
| Term rules, special and geometric sequences | A23, A24 | 1 | |
| The nth term of a linear sequence | A25, A23 | 1 | Try a lesson |
Geometry and measures
Foundation and HigherGeometry and measures topics| Topic | Specification | Lessons | Try |
|---|
| Shape vocabulary, symmetry and quadrilaterals | G1, G4 | 1 | |
| Angles at points, lines and parallel lines | G3 | 1 | |
| Triangles, interior and exterior polygon angles | G3, G4 | 1 | |
| Congruence criteria and geometric deductions | G5, G6 | 1 | |
| Compass constructions and loci | G2 | 1 | |
| Reflections, rotations and translations | G7, G24 | 1 | |
| Positive and fractional enlargements | G7, R2 | 1 | |
| Column vectors and vector arithmetic | G24, G25 | 1 | |
| Solids, plans and elevations | G12, G13 | 1 | |
| Circle vocabulary and perimeter | G9, G17 | 1 | |
| Areas of triangles, quadrilaterals and composites | G16, G17 | 1 | |
| Prisms, cylinders and surface area | G12, G16, G17 | 1 | |
| Pyramids, cones, spheres and composite solids | G17 | 1 | |
| Arc lengths and sectors | G18, G17 | 1 | |
| Similar figures and length ratios | G19, R12 | 1 | |
| Pythagoras in two dimensions | G20 | 1 | Try a lesson |
| Right-triangle trigonometry in two dimensions | G20 | 1 | Try a lesson |
| Exact trigonometric values | G21, N8 | 1 | |
| Bearings and geometric modelling | G15, G20 | 1 | |
Probability and statistics
Foundation and HigherProbability and statistics topics| Topic | Specification | Lessons | Try |
|---|
| Probability language, frequency trees and expectation | P1, P2, P3 | 1 | |
| Exhaustive outcomes and experimental probability | P4, P5 | 1 | |
| Sets, Venn diagrams and sample spaces | P6, P7 | 1 | |
| Independent and dependent event trees | P8 | 1 | Try a lesson |
| Samples, populations and statistical claims | S1, S5 | 1 | |
| Data tables, bar/pie/time-series charts and frequency polygons | S2 | 1 | |
| Ordered stem-and-leaf, averages, spread and grouped means | S2, S4 | 1 | |
| Scatter graphs and predictions | S6 | 1 | |
| Linked representations and multistep reasoning | A21, R5, S4, P8 | 1 | |
Foundation tier: clinics and exam repair
Foundation onlyFoundation tier: clinics and exam repair topics| Topic | Specification | Lessons | Try |
|---|
| Foundation numerical fluency clinic | N2, N3, N9, N14 | 1 | |
| Foundation ratio and percentage problems | R5, R9, R11, R16 | 1 | |
| Foundation algebra and graph clinic | A4, A9, A17, A18, A19, A22 | 1 | |
| Foundation geometry and equipment clinic | G2, G3, G15, G17, G20 | 1 | |
| Foundation statistics and probability clinic | S2, S4, S6, P6, P8 | 1 | |
| Foundation non-calculator assessment and repair | N2, N14, A17, R9, G3, P4 | 1 | |
| Foundation calculator assessment and repair | N15, R11, G20, S4 | 1 | |
| Foundation readiness and tier-transition review | A19, A21, R5, G19, S4, P8 | 1 | |
Higher tier: number, algebra and proportion
Higher onlyHigher tier: number, algebra and proportion topics| Topic | Specification | Lessons | Try |
|---|
| Product counting and estimating powers/roots | N5, N6 | 1 | |
| Fractional and negative indices | N7, A4 | 1 | |
| Surds, exact calculations and rationalising | N8, A4 | 1 | Try a lesson |
| Recurring decimals as fractions | N10 | 1 | |
| Upper/lower bounds in calculations | N16, R11 | 1 | Try a lesson |
| Algebraic fractions and rational equations | A4, A18 | 1 | |
| Three binomials and non-monic factorisation | A4 | 1 | |
| General algebraic proofs | A6 | 1 | |
| Formal, inverse and composite functions | A7 | 1 | |
| Translations and reflections of function graphs | A13 | 1 | |
| Perpendicular gradients and line equations | A9 | 1 | |
| Origin-centred circles and tangents | A16 | 1 | |
| Completing the square and turning points | A11, A18 | 1 | Try a lesson |
| Quadratic formula and rearranged quadratics | A18 | 1 | |
| Linear/quadratic simultaneous equations | A19 | 1 | |
| Quadratic and two-variable inequalities | A22 | 1 | |
| Exponential and trigonometric graphs | A12, A14 | 1 | |
| Graph gradients and areas | A15 | 1 | |
| Average and instantaneous rates of change | R15, A15 | 1 | |
| Iterative formulae, roots and growth models | A20, R16 | 1 | Try a lesson |
| Quadratic sequence nth terms | A25 | 1 | |
| Geometric sequences with surds and other patterns | A24 | 1 | |
| Constructing direct/inverse proportional equations | R13, R10 | 1 | |
Higher tier: geometry and measures
Higher onlyHigher tier: geometry and measures topics| Topic | Specification | Lessons | Try |
|---|
| Negative-scale-factor enlargement | G7 | 1 | |
| Combined transformations and invariance | G8 | 1 | |
| Area and volume in similar figures | G19, R12 | 1 | |
| Circle theorems and angle chains | G10 | 1 | Try a lesson |
| Circle theorem proofs and linked geometry | G10, G6 | 1 | |
| Three-dimensional Pythagoras and trigonometry | G20 | 1 | |
| Sine rule and the ambiguous case | G22 | 1 | |
| Cosine rule for sides and angles | G22 | 1 | Try a lesson |
| Area of any triangle and mixed trigonometry | G23, G22 | 1 | |
| Vector geometric arguments and proofs | G25 | 1 | Try a lesson |
Higher tier: probability, statistics and readiness
Higher onlyHigher tier: probability, statistics and readiness topics| Topic | Specification | Lessons | Try |
|---|
| Conditional probability in tables, trees and Venn diagrams | P9 | 1 | |
| Algebraic probability and linked events | P8, P9, A21 | 1 | |
| Histograms with unequal widths | S3 | 1 | Try a lesson |
| Cumulative frequency and quantiles | S3, S4 | 1 | |
| Box plots and distribution comparisons | S4 | 1 | |
| Capture–recapture and sampling assumptions | S1, S5, R7 | 1 | |
| Higher assessment, repair and readiness review | A16, A19, A22, R15, G22, G25, P9, S3 | 1 | |