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BORANG JADUAL ULANGKAJI MATEMATIK TAMBAHAN (SPM)NAMA : ………………………………………………………….

TINGKATAN : …………………………………………………………

CONTENTS Tarikh TT TT TT

UlangKaji Pelajar Ibu Bapa Guru MP

FORM 4

Topic 1: FUNCTIONS

1.1 Relations

1.2 Functions

1.3 Composite Functions

1.4 Inverse Functions

Topic 2: QUADRATIC EQUATIONS

2.1 Quadratic Equations and Their Roots

2.2 Solving Quadratic Equation

2.3 Conditions for Different Types of Roots

Topic 3: QUADRATIC FUNCTION3.1 Quadratic Functions and Their Graphs

3.2 Maximum and Minimum Values of Quadratic Equation

3.3 Sketching Graphs of Quadratic Functions

3.4 Quadratic Inequalities

Topic 4: SIMULTANEOUS EQUATIONS

4.1A Solve Simultaneous Equations Using Substitution Method

4.1B Simultaneous Equation in Real-life Situations

Topic 5: INDICES AND LOGARITHMS

5.1 Indices and Laws of Indices

5.2 Logarithms and Laws of Logarithms

5.3 Change of Bases of Logarithms

5.4 Equation Involving Indices and LogarithmsTopic 6: COORDINATE GEOMETRY

6.1 Distance between Two Points

6.2 Division of a Line Segment

6.3 Area of a Polygon

6.4 Equation of a Straight Line

6.5 Parallel and Perpendicular Lines

6.6 Equations of a Locus

Topic 7: STATISTICS

7.1 Measures of Central Tendency (Mean, Mode and Median)

7.2 Measures of Dispersion

(Variance,Standard Deviation,Range, Interquartile Range)

Topic 8: CIRCULAR MEASURE8.1 Radians

8.2 Length of an Arc

8.3 Area of a Sector 

Topic 9: DIFFERENTIATION

9.1 Differentation

9.2 First Derivatives of Polynomial Functions

9.3 Maximum and Minimum Values

9.4 Rates of The Changes

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9.5 Small Changes and Approximations

9.6 Second Derivatives

Topic 10: SOLUTION OF TRIANGLES

10.1 Sine Rule

10.2 Cosine Rule

10.3 Area of Triangle

Topic 11: INDEX NUMBERS11.1 Index Numbers

11.2 Composite Indices

FORM 5 

Topic 1: PROGRESSIONS

1.1 Arithmetic Progressions

1.2 Geometric Progressions

Topic 2: LINEAR LAW

2.1 Lines of Best Fit

2.2 Applications of Linear Law to Non-linear Relations

Topic 3: INTEGRATION

3.1 Indefinite Integrals3.2 Definite Integrals

Topic 4: VECTORS

4.1 Vectors

4.2 Addition and Subtraction of Vectors

4.3 Vectors in a Cartesian Plane

Topic 5: TRIGONOMETRIC FUNCTIONS

5.1 Positive and Negative Angles

5.2 Six Trigonometric Functions of Any Angle

5.3 Graphs of Sine, Cosine and Tangent Functions

5.4 Basic Trigonometric Identities

5.5 Addition Formulae and Double Angle Formulae

Topic 6: PERMUTATIONS AND COMBINATIONS6.1 Permutations

6.2 Combinations

Topic 7: PROBABILITY

7.1 Probability of an Event

7.2 Probability of Mutually Exclusive Events

7.3 Probability of Independent Events

Topic 8: PROBABILITY DISTRIBUTIONS

8.1 Binomial Distributions

8.2 Normal Distributions

Topic 9: MOTION ALONG A STRAIGHT LINE

9.1 Displacement

9.2 Velocity9.3 Acceleration

Topic 10: LINEAR PROGRAMMING

10.1 Linear Inequalities

10.2 Use of Linear Programming