KS3–KS4 Maths Curriculum (Years 7–11)

Aligned with the National Curriculum for England – suitable for all exam boards (AQA, Edexcel, OCR).

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.