Year 13 maths, age 17 to 18, KS5
In Year 13, students complete their advanced post-16 mathematics study (such as A level Mathematics). The curriculum focuses on advanced calculus, further trigonometric identities, parametric equations, and proof. Students routinely rely on core algebraic and geometric methods as foundational tools for solving multi-stage advanced problems.
Equivalent levels
Topics
Algebra
| Topic | Focus | Codes |
|---|---|---|
| Factorising | secure | |
| Simultaneous equations | secure | |
| Solving Quadratic Equations | secure | |
| Straight-line graphs and gradient | secure |
Geometry
| Topic | Focus | Codes |
|---|---|---|
| Pythagoras' Theorem | secure |
Curriculum items
Indicative, from National Curriculum for England. See the official document for the authoritative text.
- Factorise complex polynomial and rational expressions to prepare for partial fractions and integration.
- Solve non-linear simultaneous equations arising from the intersections of lines, curves, and circles.
- Apply properties of gradients and tangents to solve geometric problems involving straight lines and curves.
- Utilise Pythagoras' theorem to calculate magnitudes and distances in three-dimensional Cartesian coordinate systems.
- Solve quadratic equations that emerge from trigonometric and exponential substitutions.
- Determine intersections and parallel or perpendicular lines within coordinate geometry and vector frameworks.