Curriculum+Link


 * **TOPICS** || ** Hours ** || **SUBJECT MATTER**  ||
 * Introduction to functions 11 || 15 || Practical applications of quadratic functions, the reciprocal function and inverse variation; relationship between the graph of f(x) and the graphs of f(x) + a, f(x + a), af(x), f(ax) for both positive and negative values of the constant; general shapes of graphs of absolute value functions, the reciprocal functions and polynomials up to and including the fourth degree; algebraic and graphical solution of two simultaneous equations in two variables; practical applications of reciprocal and absolute value functions and the concept of inverse of a function. ||
 * Rates of Change 1 || 8 || Concept of rate of change; calculation of average rates of change in both practical and purely mathematical situations; interpretation of the average rate of change as the gradient of the secant. ||
 * Periodic Functions and Applications 11 || 5 || Definition of a periodic function and the period and amplitude; definition of a radian and its relationship with degrees; definition of the trigonometric functions sin, cos and tan of any angle in degrees and radians. Graphs of y=sinx, y=cosx, and y=tanx; significance of the constants A, B, C and D on the graphs y=Asin(Bx+C)+D and y=Acos(Bx+C)+D; applications of periodic functions. ||

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