scheme of work (sow) mathematic 2013/2014

SCHEME OF WORKS MATHEMATICS IGCSEFORM 1 - SEM 1 (2014, .)NOTOPIC

SUB-TOPICSDURATION (PERIOD)MOEKOD EVIDEN

1 NUMBERS 1.1 Multiple of whole numbers1.2 Factors of whole numbers1.3 Prime Numbers1.4 Square numbers and roots1.5 Real Numbers 6Number patterns and sequences F1:Whole Number:B1D1E1, B2D1E1, B3D1E2, , B4D1E1, ,B4D3E1, B5D1E1.Pattern and Sequence: , B2D2E1, , B2D2E2, B2D2E3, B2D2E4, ,B3D2E1 , B3D2E2 , B3D2E3 , B4D2E1, B4D2E2 , B4D2E3, B4D2E4 , B4D3E1

2SIMPLE FRACTIONS AND DECIMALS2.1 Equivalent Fractions2.2 Fractions and Decimals61. Understand the relationship between decimals and fractions. 2. Perform computations involving combined operations of addition, subtraction, multiplication and division of fractions and decimals to solve problems.F1:Fractions: B1D1E2 , B2D3E1 , B2D3E2 , B3D3E1, B4D3E1, B5D1E1Decimals: B2D4E1 , B2D4E2, B2D4E3, B3D4E2, B4D3E1 , B5D1E1,

3 THE FOUR RULES3.1 Order of Operations3.2 Choosing the Correct Operation3.3 Finding a fraction of a quantity3.4 Adding and subtracting fractions3.5 Multiplying and dividing fractions

4 ESTIMATION 4.1 Rounding Whole Numbers4.2 Rounding decimals4.3 Rounding to significant figures6Understand the concept of place value and value of each digit in decimals.F1:Whole Number: B3D1E1Decimals: B3D4E1

5PERCENTAGES5.1 Percentages, fractions and decimals5.2 Calculating a percentage5.3 Increasing or decreasing quantities by a percentage5.4 Expressing one quantity as a percentage of another5.5 Simple interest and compound interest5.6 Reverse percentage6Perform computations andsolve problems involving percentages.(Pose and solve problems involvingprofit and loss, simple interest,dividend, commission and discount.)F1:Percentages: B2D5E1, B2D5E2, B4D3E1, B4D4E1, B5D2E1

6 DIRECTED NUMBERS6.1 Introduction to Directed Numbers6.2 Everyday use of Directed Numbers6.3 The Number Line6.4 Adding and subtracting Directed Numbers6.5 Multiplying and dividing Directed Numbers 6DIRECTED NUMBERS1. Multiplication and division of integers2. Combined operations of addition, subtraction, multiplication & division of integers3. Extend the concept of integers to fraction and decimals to solve problems4. Perform computations involving directed numbers (integers, fractions & decimals)

F1:Integers: B1D1E3, B2D6E1, B4D3E1, B5D3E1F2:Directed Numbers :B2D1E1, B3D1E1, B3D1E2, B3D1E3, B4D1E1, B4D1E2, B4D1E3, B5D1E1

NOTOPIC


7 ALGEBRAIC REPRESENTATIONS AND FORMULAE7.1 The Language of algebra7.2 Substitution into formulae6ALGEBRAIC EXPRESSIONS I 1.Unknowns2.Algebraic terms3.Algebraic expressionsF1:Algebraic: B1D2E1, B2D7E1, B2D7E1, B3D5E1

8 ALGEBRAIC MANIPULATIONS8.1 Simplifying expressions8.2 Expanding brackets6ALGEBRAIC EXPRESSIONS II1.Algebraic terms in two or more unknowns2.Multiplications and divisions of two or more terms3.Algebraic expressions4.Computations involving algebraic expressionsF2:Algebraic Exp II :B1D2E1, B2D3E1, B2D3E2, B3D3E1, B3D3E2, B3D3E3, B3D3E4, B4D3E1

9 ANGLE PROPERTIES I9.1 Angle facts9.2 Parallel lines9.3 Angles in a triangle9.4 Angles in a quadrilateral

121. Lines and Angles I( F1)2. Lines and Angles II( F3)

F1:Line and Angle : B1D4E1, B2D9E1, B2D9E2, B2D9E3, B3D6E1, B3D6E2, B4D6E1, B4D6E2, B4D6E3, Polygons: B3D7E3, B3D7E4,B4D7E2, B5D4E1F3 : Lines and Angle II : B2D1E1, B3D1E1,B4D1E1,B5D1E1

10MENSURATION I10.1 Perimeter and area of a rectangle10.2 Area of triangle10.3 Area of parallelogram10.4 Area of trapezium10.5 Circumference and area of a circle10.6 Arcs and sectors10.7 Tangents and diameters

81. Perimeter and Area2. Circles I (F2)F1:Perimeter and Area : B2D11E1, B3D8E1, B3D8E2, B4D8E1, B4D8E2F2:Circles :B1D6E1, B2D8E1, B3D10E1, B3D11E1, B3D11E2, B3D11E3, B3D11E4, B4D10E1, B4D10E2, B5D9E1, B5D9E2

11APPLYING NUMBERS11.1 Unit of measurements11.2 Converting between metric units11.3 Time11.4 Currency conversions6Basic Measurement1.Length2.MassF1:Basic Measurement: B1D3E1, B1D3E2, B1D3E3, B2D8E1, B2D8E2, B2D8E3, B4D5E1

12SQUARES AND CUBES12.1 Squares and square roots12.2 Cubes and cube roots

10Squares, Square roots, Cubes and Cube rootsF2:Squares, square roots, cubes & cube roots :B1D1E1, B2D2E1, B2D2E2, B3D2E1, B3D2E2, B4D2E1, B4D2E2, B5D2E1

PREPARATION / REVISION6

TOTAL84

SCHEME OF WORKS MATHEMATICS IGCSEFORM 1 - SEM 2 (2014, 2015, .)NOTOPIC


1SOLUTIONS OF EQUATIONS AND INEQUALITIES1.1 Solving linear equations1.2 Setting up equations

6 1. Linear Equation I

F2:Linear equations I :B1D3E1, B2D4E1, B2D4E2, B3D4E1, B3D4E2, B3D4E3, B4D4E1, B5D3E1

2ORDERING AND SET NOTATION2.1 Inequalities

2N/a

3ANGLE PROPERTIES II3.1 Regular polygon3.2 Irregular polygon

6POLYGON II (F3)F1:Polygon: B1D5E1, B2D10E1, B2D10E2, B3D7E1, B3D7E2, B3D7E3, B3D7E4 , B4D7E1F3: Polygon II: B2D2E1, B3D2E1,B3D2E2,B3D2E3,B4D2E1,B4D2E2,B4D2E3,B5D2E1

4RATIO, PROPORTION AND RATE4.1 Ratio 4.2 Increases and decreases using ratio4.3 Speed4.4 Rates4.5 Direct proportion4.6 Inverse proportion

101. Ratio, Rates and Proportions I2. Ratio, Rates and Proportions II

F2: Ratio, rates & proportion I :B2D5E1, B3D5E1, B3D5E2, B4D5E1, B4D5E2, B4D5E3, B4D5E4, B5D4E1F3: Ratio, Rates and Proportion II: B3D14E1, B3D14E2, B4D14E1, B5D14E1

5STANDARD FORM5.1 Standard form5.2 Calculating with standard form

6STANDARD FORM (F4)1. Understand & use the concept of significant figure

6LIMITS OF ACCURACY6.1 Upper and lower bound 6.2 Upper and lower bound for calculations

6N/a

7TRIGONOMETRY7.1 Pythagoras Theorem7.2 Trigonometric functions7.3 Calculating angles7.4 Using Cosine, Sine and Tangent7.5 Which ratio to use

101. PYTHAGORAS THEOREM (F2)2. TRIGONOMETRY (F3)F2: Pythagoras Theorem :B1D4E2, B2D6E1, B3D6E1, B4D6E1, B5D5E1F3: Trigonometry : B3D15E1, B3D15E2, B3D15E3, B4D15E1, B4D15E2, B5D15E1

NOTOPIC


8MENSURATION II8.1 Nets*8.2 Surface area and volume of a cuboid8.3 Volume and surface area of a prism8.4 Volume and surface area of cylinder8.5 Volume and surface area of a pyramid8.6 Volume and surface area of a cone (Extended)8.7 Volume and surface area of a sphere (Extended)

121. Solid Geometry I2. Solid Geometry II3. Solid Geometry IIIF1:Solid Geometry: B1D6E1, B2D12E1, B3D9E1, B4D9E1, B4D10E1, B5D5E1F2:Solid Geometry II :B2D10E1, B3D13E1, B3D13E2, B4D12E1, B4D12E2, B4D12E3, B5D11E1F3: Solid and Geometry III: B3D8E1, B3D8E2, B3D8E3, B3D8E4, B3D8E5, B4D8E1, B4D8E2, B4D8E3, B4D8E4, B4D8E5, B5D8E1, B5D8E2, B5D8E3

9 STATISTICAL REPRESENTATION9.1 Frequency tables9.2 Pictograms9.3 Bar charts9.4 Line graphs9.5 Pie charts9.6 Scatter diagrams9.7 Histograms9.8 Frequency Polygon9.9 Stem And Leaf

81. STATISTICS II (F3)2. STATISTICS (F4) - HistogramF2:Statistics :B2D11E1, B3D14E1, B3D14E2, B3D14E3, B4D13E1, B4D13E2, B5D12E1F3: Statistic II: B3D4E1, B4D4E1, B5D4E1

10STRAIGHT LINE GRAPH10.1 Drawing straight line graphs10.2 The equation 10.3 Parallel lines

81. Coordinates(Basic)

F2:Coordinates :B1D5E1, B2D7E1, B2D7E2, B3D8E1, B3D8E2, B3D8E3, B3D8E4, B3D8E5, B4D8E1, B4D8E2, B5D7E1

11GRAPHS IN PRACTICAL SITUATIONS

11.1 Conversion graphs11.2 Travel graphs6N/a


TOTAL84

**Using a calculator efficiently KAM

SCHEME OF WORKS MATHEMATICS IGCSEFORM 2 - SEM 1 (2014, 2015, .)

NOTOPIC


1INTEGER SEQUENCES1.1 Number sequences1.2 The nth term of a sequence1.3 General rules from patterns

6NUMBER PATTERN & SEQUENCES

2INDICES2.1 Using indices2.2 Negative indices2.3 Multiplying and dividing with indices

10INDICES (F3)F3: Indices: B3D5E1, B3D5E2, B3D5E3, B3D5E4, B3D5E5, B4D5E1, B4D5E2, B5D5E1, B5D5E2

3STATISTICAL MEASURES3.1 Planning and collecting data3.2 The mode3.3 The median3.4 The mean3.5 The range3.6 Which average to use3.7 Using frequency tables

8STATISTICS II (F2)F3: Statistic II: B2D4E1, B3D4E2, B4D4E2, B5D4E2

4GEOMETRICAL TERMS AND RELATIONSHIPS4.1 Measuring and drawing angles4.2 Bearings4.3 Congruent shapes4.4 Similar shapes

10

BEARING (F5)

5GEOMETRICAL CONSTRUCTIONS5.1 Constructing shapes5.2 Bisectors5.3 Scale drawings5.4 Drawing a locus181. Geometrical Constructions

2. Scale Drawing And Loci in Two DimensionsF2:Geometrical Constructions :B3D7E1, B4D7E1, B4D7E2, B4D7E3, B5D6E1F2:Loci In Two Dimensions :B3D9E1, B3D9E2, B4D9E1, B5D8E1F3: Scale Drawing: B3D9E1, B4D9E1, B5D9E1

6SYMMETRY6.1 Lines of symmetry6.2 Rotational symmetry6.3 Symmetry of a special two-dimensional Shapes

8N/a

NOTOPIC


7ALGEBRAIC REPRESENTATION AND FORMULAE

7.1 Rearranging of formulae7.2 More complicated formulae6ALGEBRAIC FORMULAE (F3)F3: Algebraic Formulae: B2D7E1, B4D7E1, B4D7E2, B4D7E3, B5D7E1

8ALGEBRAIC MANIPULATION8.1 Factorizations6Algebraic Expressions III - Factorize algebraic expressions: using common factor

9SOLUTIONS OF EQUATIONS AND INEQUALITIES9.1 Simultaneous equations61. LINEAR EQUATIONS II (F3)2. LINEAR INEQUALITIESII (F3)F3:Linear Equation II: B3D11E1, B4D11E1, B4D11E2, B5D11E1.

F3: Linear Inequalities: B2D12E1, B3D12E1, B4D12E1, B5D12E1, B5D12E2, B5D12E3


TOTAL84

SCHEME OF WORKS MATHEMATICS IGCSEFORM 2 - SEM 2 (2014, 2015,.)NOTOPIC


1GRAPHS OF FUNCTION10.1 Quadratic graphs10.2 Reciprocal graphs10.3 Other graphs

10 GRAPH OF FUNCTION (F3)F3: Graphs of Function: B4D13E1, B4D13E2, B4D13E3, B5D13E1, B5D13E2

2VECTORS2.1 Introduction to vectors

4Add. Maths F5

3TRANSFORMATIONS3.1 Translation3.2 Reflection3.3 Rotations3.4 Enlargements

12TRANSFORMATION II (F3)F2:Transformations I :B1D7E1, B2D9E1, B2D9E2, B2D9E3, B3D12E1, B3D12E2, B3D12E3, B3D12E4, B3D12E5, B3D12E6, B4D11E1, B4D11E2, B4D11E3, B4D11E4, B5D10E1

F3:Transformation II: B1D10E1, B1D10E2, B3D10E1, B3D10E2, B3D10E3, B3D10E4, B4D10E1, B5D10E1

4PROBABILITY4.1 The probability scale4.2 Calculating probabilities4.3 Probability that an event will not happen4.4 Probability in practice

12PROBABILITY (F5)

5FUNCTIONS5.1 Function notation5.2 Inverse functions

6


TOTAL84



1GEOMETRICAL TERMS AND RELATIONSHIP 1.1 Areas of similar triangles 1.2 Areas and volume of similar shapes 6Transformation II - Enlargement

2ANGLE PROPERTIES2.1 Angles in a circle2.2 Cyclic quadrilaterals8Circle II F3: Circle II: B1D3E1, B2D3E1, B2D3E2, B2D3E3, B3D3E1, B3D3E2, B3D3E2, B4D3E1, B5D3E1, B5D3E2, B5D3E3

3ALGEBRAIC MANIPULATION3.1 Multiplying two brackets3.2 Quadratic Factorization3.3 Algebraic Fractions

10 Algebraic Expression III (F3)F3: Algebraic Expression III: B3D6E1, B3D6E2, B4D6E1, B4D6E2, B4D6E3, B4D6E4

4STRAIGHT LINE GRAPHS5.1 Points and lines6THE STRAIGHT LINE (F4) Understand the concept of straight lines.COORDINATES (F2) - Midpoint & distance

5GRAPHS OF FUNCTION6.1 Estimating Gradient4N/a

6GRAPHS IN PRACTICAL SITUATIONS7.1 Speed-time graphs6GRADIENT & AREA UNDER A GRAPH (F5) Understand the concept of quantity represented by the area under a graph.

7VARIATIONS8.1 Direct variation 8.2 Inverse variation

8 Variation -SPM Math(joint variation)


TOTAL56

Note: SOLUTIONS OF EQUATIONS AND INEQUALITIES (MOE - QUADRATIC EXPRESSION & EQUATIONS (F4)) taught in Add Maths F3


SUB-TOPICSDURATION (PERIOD)MOE

1ORDERING AND SET NOTATIONS1.1 Sets1.2 Venn Diagrams

6SET F4 Chapter 3

2LINEAR PROGRAMMING 2.1 Graphical inequalities 2.2 More than one inequality 2.3 Linear programming

8Linear programming - SPM Add Math

3SYMMETRY 3.1 Symmetry of three-dimensional shapes 3.2 Symmetry in circles

8 N/a

4STATISTICAL REPRESENTATION 4.1 Histograms with bars of unequal width

4STATISTICS (F4)

5STATISTICAL MEASURES 5.1 Group data5.2 Cumulative frequency diagrams

8STATISTICS (F4)


TOTAL56

*** All the topics are to be completed by the end of Form 3.

**Dicadangkan supaya tajuk Statistic diajar di awal semester 2, yang selebihnya diajar semasa MIGTY**

SCHEME OF WORKS MATHEMATICS IGCSEFORM 4 - SEM 1 (2016, .)NOTOPIC

SUB-TOPICSDURATION (PERIOD)MOE

1TRIGONOMETRY 1.1 Angles of elevation and depression 1.2 Problems in three dimensions 1.3 Sine and cosine of obtuse angles 1.4 The sine rule and cosine rule 1.5 Using sine to find the area of a triangle161. Solution of triangles - SPM Add Math 2. Angles of elevation and depression 3. Lines and planes in 3D

2TRANSFORMATIONS 2.1 Further reflections2.2 Further rotations2.3 Further enlargements2.4 Combined transformations2.5 Two more transformations12TRANSFORMATIONS III (F5)

3MATRICES 3.1 Introduction to matrices 3.2 Multiplying matrices3.3 2X2 matrices 3.4 The inverse of a 2 X 2 matrix3.5 Matrices and transformations 3.6 Finding a matrix 12MATRICES (F5)

4PROBABILITY 4.1 Combined event 4.2 Tree diagram 8 PROBABILITY (F5)


TOTAL56

SCHEME OF WORKS MATHEMATICS IGCSEFORM 4 - SEM 2 (2016, .)REVISION FOR IGCSEIGCSE EXAMINATION

SCHEME OF WORKS MATHEMATICS IGCSEFORM 5 - SEM 1 (2017, .)NOMOE TOPICS

SUB-TOPICSDURATION (PERIOD)NOTES

1MATHEMATICAL REASONING1.1 Statements1.2 Quantities All and Some1.3 Operations and Statements1.4 Implication1.5 Argument1.6 Deduction and Induction8

2CIRCLE III2.1 Tangent to a circle2.2 Angle between Tangent and Chord2.3 Common Tangents6

3GRAPH OF FUNCTIONS II3.1 Graph of functions3.2 Solution of an equation by graphical method3.3 Region representing Inequalities in two variables6

4NUMBER BASES4.1 Number in base Two, Eight and Five6

5PLANS AND ELEVATIONS5.1 Orthogonal Projection5.2 Plan and Elevation6

6EARTH AS A SPHERE6.1 Longitude6.2 Latitude6.3 Location of a Plane6.4 Distance on the Surface of the Earth6


TOTAL56

SCHEME OF WORKS MATHEMATICS IGCSEFORM 5 - SEM 2 (2017)REVISION FOR SPMSPM EXAMINATION

scheme of work (sow) mathematic 2013/2014

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