presentation of cambidge oct_nov 09

8/11/2019 Presentation of Cambidge Oct_nov 09

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THEME or TOPICFor MATH 0580/0581 IGCSE

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2/20

Number, Set Notation and

Language Identify and use natural numbers, integers, prime number, square

numbers, common factors and common multiples, rational and irrationalnumbers, real number

Continue a given number sequences

Recognise patterns in sequences and relationships between differentsequences

Generalise to simple algebraic statements (including expressions for thenth term) relating to such sequences

Use language, notation and Venn diagrams to describe sets and representrelationships between sets as follows.

Notation ofsets


3/20

Notation:

Number of elements in set A, n (A)

is an element of ,

is not an element of ,

Complement of set A, A

The empty set, { }

Universal set,

A is subset of B,

A is proper subset of B,

A is not a subset of B,

A is not a proper subset of B,

Union of A and B,

Intersection of A and B,

BA

BA

BA

BA

BA


4/20

Squares, square roots, & cube.

Directed numbers.

Vulgar and decimal fractions andpercentages.

Calculate squares, square roots, cubes

and cube roots of numbers

Use directed numbers in practical

situations (e.g. temperature change, flood

levels

Use the language and notation of simplevulgar and decimal fractions and

percentages in appropriate contexts

Recognise equivalence and convert

between these forms


5/20

Ordering, Standard form, and

The Four Rules

Order quantities by magnitude and

demonstrate familiarity with the symbols

Use the standard form A x 10nwhere n is apositive or negative integer, and 1


6/20

Estimation, Limits of Accuracy, Ratio, Proportion,

Rate, and Percentage

Make estimates of numbers, quantities and lengths, give

approximations to specified numbers of significant figuresand decimal places and round off answers to reasonableaccuracy in the context of a given problem

Give appropriate upper and lower bounds for data givento a specified accuracy

Obtain appropriate upper and lower bounds to solutions

of simple problems Demonstrate an understanding of the elementary ideas

and notation of ratio, direct and inverse proportion andcommon measures of rate; divide a quantity in a givenratio; use scales in practical situation; calculate averagespeed

Calculate a given percentage of a quantity; express onequantity as a percentage of another; calculate percentageincrease or decrease


7/20

Measures, Time, Money

Personal and household finance

Use current units of mass, length, area, volume, andcapacity in practical situation and express quantitiesin terms of larger or smaller units

Calculate times in terms of the 24-hour and 12-hourclock; read clocks, dials and timetables

Calculate using money and convert form onecurrency to another

Use given data to solve problems on personal andhousehold finance involving earnings, simplest and

compound interest, discount, profit and loss; extractdata from tables and charts


8/20

Graphs in Practical Situation, Graph of

Function, Straight Line Graphs

Demonstrate familiarity with Cartesian coordinates in twodimensions, interpret and use graphs in practicalsituations including travel graphs and conversion graphs,draw graphs from given data

Construct tables of values for functions of the form ax +b, + x2+ ax + b, a/x ( x not equal 0) where a and b areinteger constants; Draw and interpret such graphs; Findthe gradient of a straight line graph; Solve linear andquadratic equations approximately by graphical methods

Interpret and obtain the equation of a straight line graphin the form y = mx + c; Determine the equation of astraight line parallel to given line


9/20

Algebraic representation and formula,

Algebraic Manipulation, Function

Use letters to express generalised numbers andexpress basic arithmetic processes algebraically,substitute numbers for words and letters informulae; Transform simple formulae; Construct

simple expressions and set up simple equations Manipulate directed numbers; Use brackets and

extract common factors

Use function notation to describe simple functions;inverses function; Form composite functions


10/20

Indices; Solutions of equations and

inequality; Linear Programming

Use and interpretpositive, negative andzero indices

Solve simple linear

equations in oneunknown; Solvesimultaneous linearequations in two unknown

Represent inequalitiesgraphically and use thisrepresentation in thesolution of simple linear

programming problem


11/20

Geometrical terms and relationships; Geometrical

constructions; Symmetry

Use and interpret the

geometrical terms:point, line,

parallel, bearing, right angle,

acute, obtuse and reflex angles,

perpendicular, similarity,

congruence; Use and interpretvocabulary of triangles,

quadrilateral, circles, polygons

and simple solid figures including

net

Recognise rotational and line

symmetry in two dimensions andproperties of triangles,

quadrilaterals, and circle directly

related to their symmetries

Measure lines and angles;

Construct a triangle given the

three sides using ruler and

compasses only; Construct

other simple geometrically

figures from given data using

protractor and set squares as

necessary; Construct angle

bisectors and perpendicular

bisectors using straight edges

and compasses only; Readand make scale drawing


12/20

Angle Properties; Locus

Calculate unknown angles using the following geometrically properties:a) Angles at a point

b) Angles on a straight line & intersecting straight lines

c) Angles formed within parallel lines

d) Angle properties of triangles and quadrilateral

e) Angle properties of regular polygons

f) Angle between tangent and radius of a circle

Use the following loci and the method of intersecting loci for sets of

points in two dimensions:

a) which are at a given distance from a given point

b) which are at a given distance from two given points

c) which are equidistant from two given points

d) which are equidistant from two given intersecting straight lines


13/20

Mensuration ; Trigonometry

Carry out calculations

involving the perimeter

and area of a rectangle

and triangle, the

circumference and areaof the circle, the area of

a parallelogram and a

trapezium, the volume of

a cuboid, prism, andcylinder and surface

area of a cuboid and a

cylinder

Interpret and use three figure

bearings measured clockwise

from the North

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


14/20

Statistics; Probability

Collect, Classify and tabulatestatistical data

Read, interpret and drawsimple inferences from tablesand statistical diagram

Construct and use bar charts,pie charts, pictograms, simplefrequency distributions,histograms with equal intervalsand scatter diagram

Understand what is meant by

positive, negative and zerocorrelation

Calculate the mean, median,and mode for individual anddiscrete data

Calculate the range of a data

Calculate the probability ofa single event as either afraction or a decimal

Understand and use theprobability scale from 0 to 1

Understand that: theprobability of an eventoccurring = 1 theprobability of the event notoccurring

Understand probability inpractice


15/20

Vectors in two dimensionsMatrices

Describe atranslation by usinga vectors

Add and subtractvectors

Multiply a vectors bya scalar

Display information in theform of a matrix of anyorder

Calculate the sum andproduct of two matrices

Calculate the product of amatrix and a scalar quantity

Use the algebra of 2 x 2matrices including the zeroand identity 2 x 2 matrices

Calculate the determinantand inverse matrix


16/20

Transformations

Reflect simple plane figures in horizontal or vertical lines

Rotate simple plane figures about the origin, vertices or

mid points of edges of the figures, through multiple of

90o

Construct given translations and enlargement of simple

plane figures

Regonise and describe reflections, rotations, translations

and enlargement


17/20

Paper 2 (Extended)

Instructions

Candidates answer on the QuestionPaper

Additional Materials: ElectronicCalculator, Mathematical tables(optional), Geometrical instruments,Tracing paper (optional)

Write your Centre number, candidatenumber, and name on all the work youhand in

Write in dark blue or black pen

You may use a soft pencil for anydiagrams or graphs

Do not use staples, paper clips,

highlighters, glue or correction fluidAnswer all question

If working is needed for any questionit must be shown below that question

Electronic calculators should beused

If the degree of accuracy is notspecified in the question, and ifthe answer is not exact, give theanswer to three significant figure

Give answers in degrees to onedecimal place

For phi, use either your calculatorvalue or 3.142

At the end of the examination,fasten all your work securely

togetherThe number of marks is given inbrackets [ ] at the end of eachquestion or part question

The total of the marks for thispaper is 70


18/20

Paper 4 (Extended)

Instructions

Additional Materials: AnswerBooklet/Paper, Electronic Calculator,

Mathematical tables (optional),Geometrical instruments, Tracingpaper (optional), Graph paper

If you have been given an AnswerBooklet, follow the instructions on thefront cover of the Booklet

Write your Centre number, candidate

number, and name on all the work youhand in

Write in dark blue or black pen

You may use a soft pencil for anydiagrams or graphs

Do not use staples, paper clips,highlighters, glue or correction fluid

Answer all questionAll working must be clearly shown. Itshould be done on the same sheet asthe rest of the answer

Marks will be given for working whichshows that you known how to solvethe problem even if you get the

answer wrong

Electronic calculators should be

used

If the degree of accuracy is notspecified in the question, and ifthe answer is not exact, give theanswer to three significant figure

Give answers in degrees to one

decimal placeFor phi, use either your calculatorvalue or 3.142

At the end of the examination,fasten all your work securelytogether

The number of marks is given inbrackets [ ] at the end of eachquestion or part question

The total of the marks for thispaper is 130


19/20

Grade Thresholds

Componen 21/22 (Paper 2)

a) Max Mark: 70

b) Min Mark A: 40c) Min Mark C: 20

d) Min Mark E: 13


20/20

Component 4

a) Max Mark: 130

b) Min Mark A: 90

c) Min Mark C:51

d) Min Mark E: 32

1. The threshold (min mark) for B is set halfway between those forGrade A and C

2. The threshold (min mark) for D is set halfway between those forGrade C and E

3. The threshold (min mark) for G is set as many marks below the Fthreshold as the E threshold is above it. Grade A* does not exist atthe level of an individual component

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