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MODUL SPM 2011

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MODUL SPM

Koleksi Modul Matematik Tambahan Tingkatan 4 dan 5

Functions
Quadratics_equations
Quadratic_function
Simultaneous Equations
Indices Logarithms
Coordinate Geometry

Circular_measure
Statistic
Diferentiations
Solution_of_triangle
Index_number
Linear_law
Integration
term_AP_AG
Vector
Permutation_combinations

Activity Sheet for Additional Mathematics F4

SPM ADD MATH

Form 4 Additional Mathematics

1. Functions
1.1 Relations

1.3 Absolute Value Functions

1.4 Composite Functions

1.5 Inverse Functions

2. Quadratic Equations

2.1 Quadratic Equations and Their Roots

2.2 Solving Quadratic Equations

2.3 Formation of Quadratic Equations from Roots

2.4 Conditions for the type of Roots of Quadratic Equations

3. Quadratic Functions

3.1 Quadratic Functions and Their Graphs

3.2 Maximum and Minimum Values of Quadratic Functions

3.3 Sketching Graph of Quadratic Functions

3.4 Quadratic Inequalities

4. Simultaneous Equations

4.1 Simultaneous Equations in Two Unknowns: a Linear Equation and a Non-Linear Equation

4.2 Simultaneous Equations involving Real Life Situations

5. Indices and Logarithms

5.1 Indices and Law of Indices

5.2 Logarithms and Law of Logarithms

5.3 Changing the Base of Logarithms

5.4 Solving Equations that Involve Indices and Logarithms

6. Coordinate Geometry

6.1 Distance Between Two Points

6.2 Division of Line Segment

6.3 Areas of Polygons

6.4 Equations of Straight Lines

6.5 Parallel Lines and Perpendicular Lines

6.6 Equation of a Locus that Involves Distance Between Two Points

7. Statistics

7.1 Measures of Central Tendency

7.2 Mean, Mode and Median of Ungrouped Data (in a Frequency Table) and Grouped Data with Class Intervals

7.3 Effects of Uniform Data Changes on Measures of Central Tendency

7.4 Measures of Dispersion

7.5 Range and Interquartile Range of Grouped Data

7.6 Standard Deviation and Variance

7.7 Effects of Uniform Data Changes on Measures of Dispersion

8. Circular Measure

8.2 Length of an Arc of a Circle

8.3 Area of a Sector of a Circle

9. Differentiation

9.1 Concept of Tangents to a Curve and its Relation to Differentiation

9.2 Differentiation of the Function y=ax, Differentiation of the Sum and Difference of Algebraic Functions

9.3 Differentiation of the Products and Quotient of Algebraic Functions; Differentiation of Composite Functions; Chain Rule

9.4 Gradients of Tangents, Equations of Tangents and Normals

9.5 Second-Order Differentiation, Turning Points, Maximum and Minimum Points

9.6 Problems on Maxima and Minima

9.7 Related Rates of Change

9.8 Small Changes and Approximations

10. Solution of Triangles

10.2 Cosine Rule

10.3 Areas of Triangles

10.4 Three-Dimensional Geometry

11. Index Numbers

11.1 Index Numbers

11.2 Composite Indices

Koleksi Modul Matematik Tingkatan 4 dan 5

Simultenous Linear and Equations

Circle Area and Perimeter

Quadratic Expression and Equations

Mathematical Reasoing

The Straight Lines

Lines and Plane in 3D

Graphs of Functions

Gradient and Area Under a Graph

Plan and Elevation

Earth as a Sphere

Activity Sheet for mathematics F4

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