Sec 4 Syllabus

Home Syllabus Lessons Assignment Maths Galore

Secondary 4 E Maths lessons content

NO.

TOPIC

SUBJECT CONTENT

1

Graphs in practical situations

·         Apply the idea of rate of change to easy kinematics involving distance-time and speed-time graphs, acceleration and retardation;

·         Calculate distance travelled as area under a linear speed-time graph.

2

Locus

·         Use the following loci and the method of intersecting loci:

(a)     Set of points in two dimensions

                        (i)   Which are at a given distance from a given point,

                       (ii)   Which are at a given distance from a given straight line,

                     (iii)   Which are equidistant from two given points;

(b)     Set of points in two dimensions which are equidistant from two given intersecting straight lines.

3

Probability

·         Calculate the probability of a single event as either a fraction or a decimal (not a ratio);

·         Calculate the probability of simple combined events, using possibility diagrams and tree diagrams where appropriate (in possibility diagrams outcomes will be represented by points on a grid and in tree diagrams outcomes will be written at the end of branches and probabilities at the sides of the branches).

4

Transformations

·         Use the following transformations of the plane: reflection (M), rotation (R), translation (T), enlargement (E), shear (H), stretch (S), and their combinations (if M(a)=b and R(b)=c the notation RM(a)=c will be used; invariants under these transformations may be assumed);

·         Identify and give precise descriptions of transformations connecting given figures;

5

Vectors in two dimensions

    

·         Describe a translation by using a vector represented by,   or a;

·         Add vectors and multiply a vector by a scalar;

·         Calculate the magnitude of a vector , as . ( Vectors will be printed as  or a and their magnitude denoted by modular signs, e.g.  or . In their answers to questions candidates are expected to indicate a in some definite way, e.g. by an arrow or by underlining, thus  or ;

·         Represent vectors by directed line segments;

·         Use the sum and difference of two vectors to express given vectors in terms of two separate coplanar vectors;

·         Use position vectors.
 

 

E Maths 'O' Levels Syllabus