KS3–KS4 Maths Curriculum (Years 7–11)
Aligned with the National Curriculum for England – suitable for all exam boards.
| Year | Number | Algebra | Geometry & Measure | Statistics & Probability | Problem Solving & Reasoning |
|---|---|---|---|---|---|
| Year 7 | Place value, integers, decimals, fractions, percentages, ratio basics, rounding, estimation. | Notation, simplifying expressions, sequences, simple equations, coordinates. | Angles, triangles, polygons, perimeter, area, symmetry, units of measure. | Data collection, bar charts, mean/median/mode, simple probability. | Real-life contexts, interpreting word problems, logical reasoning. |
| Year 8 | Negative numbers, powers, roots, ratio & proportion, fractions & percentages, standard form intro. | Expanding brackets, factorising, two-step equations, linear graphs, inequalities. | Angles in polygons, transformations, area/volume of shapes, scale drawings, bearings. | Pie charts, line graphs, two-way tables, comparing data, probability of combined events. | Proportion problems, unit conversions, reasoning with data. |
| Year 9 | Standard form, indices (integer/fractional), ratio in algebra, surds intro. | Quadratic expressions, simultaneous equations intro, graphs of functions, inequalities on grids. | Pythagoras, trigonometry intro, circles, congruence & similarity, surface area & volume. | Cumulative frequency, histograms intro, probability trees. | Multi-step problems, algebraic proofs, reasoning across topics. |
| Year 10 | Fractions, ratio, percentage change, standard form, bounds, recurring decimals. | Quadratic equations, factorisation, completing the square, linear & quadratic graphs. | Circle theorems, advanced trigonometry, vectors intro, 3D shapes & surface area. | Averages, box plots, scatter graphs, probability trees, Venn diagrams. | Applying maths in context, proof, modelling problems. |
| Year 11 | Surds, compound interest, direct/inverse proportion, iteration, indices laws. | Simultaneous equations (linear/quadratic), advanced graphs, functions, sequences. | Transformations, loci & constructions, vector geometry, 3D trigonometry. | Cumulative frequency, histograms, probability distributions, statistical reasoning. | GCSE exam preparation, multi-topic problem solving, mathematical justification. |
Autumn Term
- Number: Place value, negative numbers, order of operations, fractions and decimals, estimation.
- Algebra: Introduction to algebra, simplifying expressions, forming and solving simple equations.
- Geometry & Measure: Types of angles, measuring angles, triangles, quadrilaterals, symmetry.
Spring Term
- Number: Fractions and percentages, ratio and proportion introduction.
- Algebra: Sequences, coordinates, simple graphs, substitution.
- Geometry & Measure: Perimeter and area of rectangles and triangles, 3D shapes introduction.
Summer Term
- Statistics & Probability: Collecting data, bar charts, mean/median/mode, simple probability.
- Problem Solving: Multi-step problems using number and shape, real-life applications.
Autumn Term
- Number: Powers, roots, negative numbers, multiplying/dividing fractions.
- Algebra: Expanding and factorising, solving two-step equations, linear graphs.
- Geometry & Measure: Angles in polygons, transformations, scale drawings.
Spring Term
- Number: Ratio and proportion, percentage change, standard form introduction.
- Algebra: Rearranging formulae, nth term of a sequence, inequalities on number lines.
- Geometry & Measure: Area and volume of compound shapes, bearings, constructions.
Summer Term
- Statistics & Probability: Pie charts, two-way tables, comparing data sets, probability of combined events.
- Problem Solving: Real-world applications involving proportion and geometry.
Autumn Term
- Number: Standard form, indices (positive, negative, fractional), ratio in algebraic form.
- Algebra: Quadratic expressions, expanding double brackets, solving linear equations with brackets.
- Geometry & Measure: Pythagoras’ Theorem introduction, circle parts and properties.
Spring Term
- Algebra: Simultaneous equations, inequalities on coordinate grids, function notation introduction.
- Geometry & Measure: Trigonometry introduction, surface area and volume of 3D solids.
- Statistics: Cumulative frequency and histograms introduction.
Summer Term
- Problem Solving: Proofs, multi-step reasoning, applying algebra in geometry problems.
Autumn Term
- Number: Fractions, ratios, bounds, recurring decimals, compound measures (speed, density).
- Algebra: Quadratic equations, completing the square, linear & quadratic graphs.
- Geometry & Measure: Circle theorems, advanced trigonometry, 3D shapes & surface area.
Spring Term
- Algebra: Simultaneous equations, inequalities, rearranging complex formulae.
- Geometry & Measure: Vectors introduction, loci and constructions, transformations.
- Statistics: Averages, box plots, scatter graphs, probability trees.
Summer Term
- Problem Solving: Application of skills in exam-style problems, reasoning and proof practice.
Autumn Term
- Number: Surds, compound interest, direct/inverse proportion, laws of indices, iteration.
- Algebra: Functions, quadratic formula, exponential graphs, sequences including geometric.
- Geometry & Measure: Vector geometry, 3D trigonometry, transformations and loci review.
Spring Term
- Statistics & Probability: Cumulative frequency, histograms, Venn diagrams, conditional probability.
- Problem Solving: Multi-topic problem solving, modelling, reasoning in unfamiliar contexts.
Summer Term
- Exam Preparation: Revision of all GCSE content, timed assessments, feedback and reflection.
Year 7
- Number
- Place value, integers, decimals, fractions, percentages, ratio basics, rounding, estimation.
- Algebra
- Notation, simplifying expressions, sequences, simple equations, coordinates.
- Geometry & Measure
- Angles, triangles, polygons, perimeter, area, symmetry, units of measure.
- Statistics & Probability
- Data collection, bar charts, mean/median/mode, simple probability.
- Problem Solving
- Real-life contexts, interpreting word problems, logical reasoning.
Year 8
- Number
- Negative numbers, powers, roots, ratio & proportion, fractions & percentages, standard form intro.
- Algebra
- Expanding brackets, factorising, two-step equations, linear graphs, inequalities.
- Geometry & Measure
- Angles in polygons, transformations, area/volume of shapes, scale drawings, bearings.
- Statistics & Probability
- Pie charts, line graphs, two-way tables, comparing data, probability of combined events.
- Problem Solving
- Proportion problems, unit conversions, reasoning with data.
Year 9
- Number
- Standard form, indices, ratio in algebra, surds intro.
- Algebra
- Quadratic expressions, simultaneous equations intro, graphs of functions, inequalities on grids.
- Geometry & Measure
- Pythagoras, trigonometry intro, circles, congruence & similarity, surface area & volume.
- Statistics & Probability
- Cumulative frequency, histograms intro, probability trees.
- Problem Solving
- Multi-step problems, algebraic proofs, reasoning across topics.
Year 10
- Number
- Fractions, ratio, percentage change, standard form, bounds, recurring decimals.
- Algebra
- Quadratic equations, factorisation, completing the square, linear & quadratic graphs.
- Geometry & Measure
- Circle theorems, advanced trigonometry, vectors intro, 3D shapes & surface area.
- Statistics & Probability
- Averages, box plots, scatter graphs, probability trees, Venn diagrams.
- Problem Solving
- Applying maths in context, proof, modelling problems.
Year 11
- Number
- Surds, compound interest, direct/inverse proportion, iteration, indices laws.
- Algebra
- Simultaneous equations (linear/quadratic), advanced graphs, functions, sequences.
- Geometry & Measure
- Transformations, loci & constructions, vector geometry, 3D trigonometry.
- Statistics & Probability
- Cumulative frequency, histograms, probability distributions, statistical reasoning.
- Problem Solving
- GCSE exam preparation, multi-topic problem solving, mathematical justification.