Sec 3 Syllabus

NO.

TOPIC

SUBJECT CONTENT

·         Demonstrate an understanding of the elementary ideas and notation of ratio, direct and inverse proportion and common measures of rate;

·         Use scales in a practical situation;

·         Construct tables of values and draw graphs for functions of the form  where n = -2, -1, 0, 1, 2, 3, and simple sums of not more then three of these and for functions of the form  where a is a positive integer;

·         Interpret graphs of linear, quadratic, reciprocal and exponential functions;

·         Find the gradient of a straight line graph;

·         Solve equations approximately by graphical methods;

·         Demonstrate familiarity with Cartesian coordinates in two dimensions;

·         Calculate the gradient of a straight line from the coordinates of two points on it;

·         Interpret and obtain the equation of a straight line in the form of ;

·         Transform simple and more complicated formulae;

·         Manipulate directed numbers;

·         Use brackets and extract common factors;

·         Expand products of algebraic expressions;

·         Factorise expressions of the form ; ; ; ; ;

·         Solve simultaneous linear equations in two unknowns;

·         Solve quadratic equations by factorisation and either by use of the formula or completing the square;

·         Use the following symmetry properties of circles

(a)     Equal chords are equidistant from the centre;

(b)     The perpendicular bisector of a chord passes through the    centre;

·         Calculate unknown angles and solve problems (including problems leading to some notion of proof) using the following geometrical properties:

(a)     Angle in a semi-circle;

(b)     Angle between tangent and radius of a circle;

(c)     Angle at the centre of the circle is twice the angle at the circumference;

(d)     Angles in the same segment are equal;

·         Solve trigonometrical problems in two dimensions including those involving angles of elevation and depression and bearings;

·         Extend sine and cosine functions to angles between  and ;

·         Solve problems using any sine and cosine rules for any triangle and the formula  for the area of triangle;

·         Collect, classify and tabulate statistical data;

·         Read, interpret and draw simple inferences from tables and statistical diagrams;

·         Construct and use bar chars, pie charts, pictograms, dot diagrams, stem-and-leaf diagrams, simple frequency distributions and frequency polygons;

·         Use frequency density to construct and read histograms with equal and unequal intervals;

·         Calculate the mean, median and mode for individual data and distinguish between the purposes for which they are used;

·         Construct and use cumulative diagrams;

·         Estimate the median, percentiles, quartiles and interquartile range from the cumulative frequency diagrams;

·         Calculate the mean for grouped data;