Additional Mathematics · Form 4
- Surds: simplification and rationalising the denominatorAlgebra and Functions
- Exponential and logarithmic equationsAlgebra and Functions
- Completing the square and the maximum or minimum of a quadraticAlgebra and Functions
- Nature of roots: the discriminantAlgebra and Functions
- Sum and product of the roots of a quadratic equationAlgebra and Functions
- Quadratic inequalitiesAlgebra and Functions
- Simultaneous equations: one linear and one non-linearAlgebra and Functions
- Polynomials: division, remainder and factor theoremsAlgebra and Functions
- Solving cubic equationsAlgebra and Functions
- Mappings: domain, range, one-to-one and onto functionsAlgebra and Functions
- Composite and inverse functionsAlgebra and Functions
- Distance, midpoint and gradient of a line segmentCoordinate Geometry
- Parallel and perpendicular lines; perpendicular bisectorsCoordinate Geometry
- The equation of a circleCoordinate Geometry
- Tangents to a circle and intersection of a line and a circleCoordinate Geometry
- Radian measure, arc length and sector areaTrigonometry
- Trigonometric ratios of any angle and the CAST ruleTrigonometry
- Graphs of sine, cosine and tangent functionsTrigonometry
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