NO.

TOPIC

SUBJECT CONTENT

·         Use natural numbers, integers (positive, negative and zero), prime numbers, common factors and multiples, rational and irrational numbers, real numbers;

·         Use the language and notation of simple vulgar and decimal fractions and percentages in appropriate contexts;

·         Make estimates of numbers, quantities and lengths;

·         Give approximation to specified numbers of significant figures and decimal places;

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

·         Divide a quantity in a given ratio;

·         Use scales in a practical situation;

·         Calculate average speed;

·         Calculate a given percentage of a quantity;

·         Express one quantity as a percentage of another;

·         Calculate percentage increase or decrease;

·         Use a scientific calculator efficiently;

·         Use directed numbers in practical situations (e.g. temperature change, tide levels);

·         Use current units of mass, length, area, volume, capacity and time in practical situations (including expressing quantities in terms of lager or smaller units);

·         Calculate times in terms of 12-hour and 24-hour clock (including reading of clocks, dials and timetables);

·         Solve problems involving money and convert from one currency to another;

·         Use given data to solve problems on personal household finance involving earnings, simple interest, and compound interest (without the use of formula), discount, profit and loss.

·         Interpret and use graphs in practical situations including travel graphs and conversion graphs;

·         Draw graphs from given data;

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

·         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 ;

·         Use letters to expressed generalised numbers and express basic arithmetic processes algebraically;

·         Substitute numbers for words and letters in formulae;

·         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 simple linear equations in one unknown;

·         Solve fractional equations with numerical and linear algebraic denominators;

·         Solve simultaneous linear equations in two unknowns;

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

·         Use and interpret the geometrical terms: point, line, plane, parallel, perpendicular, right angle, acute, obtuse and reflex angles, interior and exterior angles, regular and irregular polygons, pentagons, hexagons, octagons, decagons;

·         Use and interpret vocabulary of simple solid figures: cube, cuboid, prism, cylinder, pyramid, cone, sphere;

·         Measure lines and angles;

·         Construct simple geometrical figures from given data using protractors or set squares as necessary;

·         Construct angle bisectors and perpendicular bisectors using straight edges and compasses only;

·         Recognise line and rotational symmetry (including order of rotational symmetry) in two dimensions, and properties of triangles, quadrilaterals and circles directly related to their symmetries;

·         Recognise symmetry properties of the prism (including cylinder) and the pyramid (including cone);

·         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)     Angles on a straight line;

(b)     Angles at a point;

(c)     Vertically opposite angles;

(d)     Angles formed by parallel lines;

(e)     Angle properties of triangles and quadrilaterals;

(f)    Angle properties of polygon including angle sum;

(g)     Angle in a semi-circle;

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

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

(j)     Angles in the same segment are equal;

·         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;

·         Solve problems involving

            (i)      The perimeter and area of a rectangle and a triangle,

          (ii)      The circumference and area of a circle,

        (iii)      The area of a parallelogram and a trapezium

          (iv)      The surface area and volume of a cuboid, cylinder, prism, sphere, pyramid and cone. (Formulae will be given for the sphere, pyramid and cone.)

·         Apply Pythagoras Theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right-angled triangle (angles will be quoted in, and answers required in, degrees and decimals of a degree to one decimal place);

·         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;

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

·         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);