Hisabati ya Ziada

Mada

• Use advanced mathematical knowledge and skills in daily life

  Mada 1

  • Demonstrate mastery of logic in decision making

    Mada 1

    • Explore the basic tenets of logic (logical statements/propositions, connectives, arguments, validity of an argument, truth tables and simple circuits)→

• Demonstrate mastery of some advanced concepts in algebra and calculus in problem solving

  Mada 7

  • Use Algebra and Calculus to solve problems in different contexts

    Mada 6

    • 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 unknown)→
    • Explore the basic tenets of Rational Functions (properties, asymptotes, domain and range, graphs)→
    • Explore the basic tenets of Differentiation (derivatives of polynomial and trigonometric functions: first principles, power rule, chain rule, product rule and quotient rule)→
    • Apply differentiation to determine rates of change of quantities, maxima and minima of functions, turning points, points of inflection and curve sketching→
    • Determine indefinite and definite integrals of polynomial expressions and simple trigonometric functions→
    • Apply Integration to determine area under a curve and volume of a solid of revolution of a simple curve about an axis→

  • Apply set theory skills in decision making

    Mada 1

    • Explore the basic tenets of set theory (operations on three sets, Venn diagrams, cardinality of a set, set properties and De Morgan's laws)→