Additional Mathematics (New) Form 4 Syllabus
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Use some advanced skills in coordinate geometry, Trigonometry and Vectors in daily life
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Explore the basic tenets of coordinate geometry (ratio theorem, perpendicular distance, angle between two intersecting lines, equation of a circle, locus of a moving point equidistant from a fixed point on a plane, locus of a moving point equidistant from two fixed points and locus of a moving point at a fixed distance from a fixed line on a plane)
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Explore the basic tenets of trigonometry (trigonometric identities, double angle and compound angle formulae and solving trigonometric equations)
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Explore the basic tenets of vectors in three dimensional space (components, representations, dot and cross products of two vectors)
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Apply the dot product of vectors to solve problems involving angles between two vectors and work done by a force on an object
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Apply the cross product of vectors to find a unit vector normal to a given plane and to find area of a plane figure
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Apply statistical skills in the fields of business and economics
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Explore the basic tenets of statistics (measures of dispersion: range, variance and standard deviation)
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Apply the basic skills of probability in daily life
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Explore the basic tenets of counting techniques (fundamental principle of counting, permutations, and combinations)
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Explore the basic tenets of probability (independent events and conditional probability)
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Use Algebra and Calculus to solve problems in different contexts
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Explore the basic tenets of 3×3 matrices (operations, determinant, and inverse)
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Use 3×3 matrices to solve systems of linear simultaneous equations with three unknowns
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