Mathematics (New) Form 4 Syllabus

Demonstrate mastery of basic concepts in geometry and algebra
1. Use algebra and matrices in problem solving
  1. Explore the basic tenets of matrices ( 2×2 matrices: operations, determinant, inverse, and transformations)
  2. Apply matrices to solve simultaneous equations of two unknowns (matrix inversion method and Cramer’s rule)
Demonstrate mastery of basic concepts in coordinate geometry, trigonometry, circles, vectors, probability, and statistics
1. Use basic coordinate geometry, trigonometry, and vectors skills in daily life
  1. Explore the basic tenets of coordinate geometry (midpoint of a line segment, distance between two points on a line, parallel, and perpendicular lines)
  2. Apply sine and cosine rules to find distances or angles of elevation
  3. Derive and use compound angles to solve problems
  4. Explore the basic tenets of vectors (displacement and position vectors, magnitude and direction, sum and differences, multiplication of vectors by a scalar)
2. Use probability in problem solving
  1. Explore the basic tenets of probability of two events (probability of an event, mutually exclusive events, dependent events, combined events using tree diagrams, tables and formulae)
3. Use statistics in problem solving
  1. Explore the basic tenets of statistics (frequency distribution, measures of central tendency, histogram, frequency polygon, and cumulative frequency curve ‘ogive’)