Mathematics

Mathematics at KS4 equips students to model real situations, reason logically and make evidence-based decisions. Our modular route spreads assessment across two points in KS4 to reduce pressure and provide early feedback:

• Unit 1 content is assessed in Year 10, Term 3.
• Unit 2 content is assessed in Year 11 (final series).

Students are entered for Foundation (grades 1–5) or Higher (grades 4–9). Tier of entry is decided by the school using sustained evidence (classwork, topic tests, mocks).

The certificate records "International GCSE in Mathematics" with the final grade there is no separate "Foundation/Higher" certificate.

Learning spirals in depth particularly at Higher tier:

1) Number & Structure

• Integers, fractions, decimals, ratio/proportion; percentage change; index laws (including negative/fractional indices), standard form; bounds & estimation; surds (Higher).
• Real-world applications (compound growth/decay; currency/metric conversions; multi-step percentage problems).

2) Algebra & Graphs

• Expressions & identities; expanding/factorising (including quadratics); algebraic fractions (Higher); sequences (arithmetic/geometric/recursive); inequalities & regions.
• Equations: linear, simultaneous, quadratics (factorise/complete the square/quadratic formula); rearranging formulae.
• Functions & Graphs: linear, quadratic, cubic, reciprocal, exponential; transformations; gradient/intercept; modelling.

3) Geometry & Measures

• Angle properties, polygons, parallel lines; congruence & similarity; circle theorems (Higher).
• Perimeter, area, surface area & volume (including compound solids and frustums).
• Coordinate geometry (gradient, midpoint, line equations); loci & constructions with reasoning.
• Trigonometry: SOHCAHTOA, sine/cosine rules and area of a triangle (Higher); bearings; 2D/3D problems.

4) Statistics

• Data collection & representation; histograms (Higher), cumulative frequency & box plots; averages and spread.
• Interpreting diagrams, estimating means from grouped data, comparing distributions.

5) Probability

• Theoretical vs experimental probability; sample spaces; tree diagrams (independent/conditional); Venn diagrams & set notation (Higher).

Assessment (Modular)

• Unit 1 Examination (Year 10, Term 3) — calculator paper; 50% of final grade; approximately 2 hours; 100 marks.
• Unit 2 Examination (Year 11) — calculator paper; 50% of final grade; approximately 2 hours; 100 marks.

Foundation tier codes: 4MA1/1F (Unit 1), 4MA1/2F (Unit 2)
Higher tier codes: 4MA1/1H (Unit 1), 4MA1/2H (Unit 2)

Question types include short-answer, structured and multi-step problems; calculators are permitted for both units.

Tiering & Certification

• Foundation targets grades 1–5; Higher targets 4–9.
• Tier is selected by the school to match secure performance; the certificate records iGCSE Mathematics and the final grade only.

(Compulsory)

Mathematics is compulsory and a keystone qualification. Our modular route provides early feedback, keeps motivation high, and develops logical reasoning, quantitative literacy and decision-making skills vital across STEM, business, computing and everyday life.

• A-level Mathematics and Further Mathematics (for high achievers)
• STEM pathways (Physics, Chemistry, Engineering, Computer Science), quantitative Economics/Business, Psychology, Geography (statistics), Finance and data-driven fields.
• Mathematics is a core prerequisite or strong advantage for many post-16 and university routes.