Curriculum Shule Direct Kenya Secondary School Form 4 Mathematics Kenya

Mathematics Kenya Form 4 Syllabus

  1. Matrices and Transformations
    1. Matrices and Transformations
      1. Transformation of the Cartesian plane
      2. Identification of transformation matrix
      3. Successive transformations
      4. Single matrix of transformation for successive transformations
      5. Identity matrix and transformation
      6. Inverse of a transformation
      7. Area scale factor and determinant of a matrix
      8. Shear and stretch (include their matrices)
      9. Isometric and non-isometric transformation
      10. Application of transformation to real life situations
      11. Matrices and Transformations
  2. Statistics (2)
    1. Statistics (2)
      1. Mean from assumed mean
      2. Cumulative frequency table
      3. Ogive
      4. Median
      5. Quartiles
      6. Range
      7. Interquartile range
      8. Quartile deviation
      9. Variance
      10. Standard deviation
      11. STATISTICS (2)
  3. Loci
    1. Loci
      1. Common types of loci
      2. Perpendicular bisector loci
      3. Loci of a point at a given distance from a fixed point and a fixed line
      4. Angle bisector loci
      5. Constant angle loci
      6. Other loci under given condition including intersecting loci
      7. Loci of inequalities
      8. Loci involving chords
  4. Trigonometry (3)
    1. Trigonometry (3)
      1. Trigonometric ratios
      2. Deriving the relation sin2 + cos2=1
      3. Graphs of trigonometric functions y = sin x, y = cos x, y = tan x
      4. Graphs of trigonometric functions y = a sin x, y = a cos x, y = a tan x
      5. Graphs of trigonometric functions y = a sin bx, y = a cos bx, y = a tan bx
      6. Graphs of trigonometric functions y = a sin (bx ± θ), y = a cos(bx ± θ), y = a tan (bx ± θ)
      7. Simple trigonometric equations amplitude, period, wavelength and phase angle of trigonometric functions
      8. TRIGONOMETRY III
  5. Three Dimensional Geometry
    1. Three Dimensional Geometry
      1. Geometrical properties of common solids
      2. Skew lines and projection of a line onto a plane
      3. Length of a line in 3 - dimensional geometry
      4. The angle between a line and a line
      5. The angle between a line and a plane
      6. The angle between a plane and a plane
      7. Angles between skewlines
  6. Longitudes and Latitudes
    1. Longitudes and Latitudes
      1. The Equator and Greenwich Meridian
      2. Radii of small and great circles
      3. Position of a place on the surface of the earth
      4. Distance between two points along the small and great circles in nautical miles and kilometres
      5. Distance in nautical miles and kilometres along a circle of latitude
      6. Time and longitude
      7. Speed in knots and Kilometres per hour
  7. Linear Programming
    1. Linear Programming
      1. Formation of linear inequalities
      2. Analytical solutions of linear inequalities
      3. Solutions of linear inequalities by graphs
      4. Optimisation (include objective function)
      5. Application to real life situations
      6. Linear Programming
  8. Differentiation
    1. Differentiation
      1. Average and instantaneous rates of change
      2. Gradient of a curve at a point
      3. Gradient of y = n^2 (where n is a positive integer)
      4. Delta notation (Δ)
      5. Derivative of a polynomial
      6. Equations of tangents and normals to the curve
      7. Stationery points1
      8. Stationery points2
      9. Curve sketching
      10. Application of differentiation in calculation of distance
      11. Application of differentiation in calculation of velocity
      12. Application of differentiation in calculation of acceleration
      13. Maxima and minima
      14. Differentiation
  9. Area Approximation
    1. Area Approximation
      1. Area by counting techniques
      2. Trapezium rule
      3. Area using trapezium rule
      4. Mid-ordinate
      5. Area by the mid-ordinate rule
      6. Area Approximation
  10. Integration
    1. Integration
      1. Differentiation
      2. Reverse differentiation
      3. Integration notation and sum of areas of trapezia
      4. Indefinite and definitive integrals
      5. Area under a curve by integration
      6. Applications in kinematics
      7. Differentiation in Kinematics

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