2025 Form 4 KLB Mathematics Schemes of Work – Term 2

The schemes of work cover the following topics :

• Trigonometry
  • Deriving the relation Sin² 0 + Cos² 0 = 1
  • Trigonometric ratios of the form y = sin x y = tan x y = cos x
  • Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
  • Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
  • Trigonometry y = a sin (bx + 0)
  • Trigonometry y = a cos (bx + 0) y = a tan (bx + 0)
  • Amplitude, period, wavelength and phase Phase angles of trigonometric function
  • Solution to simple Trigonometric equations
• Three Dimensional Geometry
  • Geometrical properties of common solids
  • Skew lines projection of a line onto a plane
  • Length of a line in 3D geometry
  • Angle between a line and a line
  • A line and a plane
  • A plane and a plane
  • Angles between skew lines
• Longitudes and Latitudes
  • Latitudes and longitudes (great and small circle)
  • The equator and Greenwich meridian
  • Position of a place on the surface of the earth
  • Radii of small and great circles
  • Distance between two points along the small and great circle in nautical miles and kilometers
  • Distance in nautical miles and kilometers along a circle of latitude
  • Time and longitude
  • Speed in knots and kilometer per hour
• Linear Programming
  • Formation of linear Inequalities
  • Analytical solutions of linear inequalities
  • Solutions of linear inequalities by graph
  • Optimization (include objective)
  • Application of linear programming to real life situation
• Differentiation
  • Average and instantaneous rates of change
  • Differentiation Gradient of a curve at a point
  • Gradient of y = xⁿ where n is a positive integer
  • Delta notation (?)