Curriculum Shule Direct Tanzania Secondary School Form 3 Additional Mathematics (New)

Additional Mathematics (New) Form 3 Syllabus

  1. Use advanced mathematical knowledge and skills in everyday life
    1. Demonstrate mastery of logic in decision making
      1. Explore the basic tenets of logic (logical statements/ propositions, connectives, arguments, validity of an argument, truth tables and simple circuits)
  2. Demonstrate mastery of some advanced concepts in Algebra and Calculus in problem solving
    1. Use Algebra and Calculus to solve problems in different contexts
      1. Explore the basic tenets of Algebra (sum and product of roots of a quadratic equation, solve algebraically and graphically linear and one quadratic equation, use the remainder theorem to find a remainder of a polynomial function of up to third degree) simultaneous equations involving one
      2. Explore the basic tenets of Rational Functions (properties, asymptotes, domain and range, graphs)
      3. Explore the basic tenets of Differentiation (derivatives of polynomial and trigonometric functions: firstprinciples, power rule, chain rule,
      4. Apply differentiation to determine rates of change of quantities, maxima and minima of functions, turning points, points of inflection and curve sketching
      5. Determine indefinite and definite integrals of polynomial expressions and simple trigonometric functions
      6. Apply Integration to determine area under a curve and volume of a solid of revolution of a simple curve about an axis
    2. Apply sets theory skills in decision making
      1. Explore the basic tenets of set theory (operation on three sets, Venn diagrams, cardinality of a set, set properties and De Morgan’s laws)

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