- Coordinate Geometry
- Equation of a Line
- Derive the general equation of a straight line

- Midpoint of a Line Segment
- Determine the coordinates of the midpoint of a line segment

- Distance Between Two Points on a Plane
- Calculate the distance between two points on a plane

- Parallel and Perpendicular Lines
- Compute gradients in order to determine the conditions for any two lines to be parallel
- Compute gradients in order to determine the conditions for any two lines to be perpendicular
- Solve problems on parallel and perpendicular lines

- Area And Perimeter
- Area of any Triangle
- Derive the formula for the area of any triangle
- Apply the formula to find the area of any triangle

- Area of a Rhombus
- Derive the formula for finding the area of rhombi in terms of the diagonals.
- Apply the formula to find the areas of quadrilaterals

- Perimeter of a Regular Polygon
- Derive the formula for finding the length of a side of a regular polygon
- The formula to determine the perimeter of a regular polygon

- Area of a Regular Polygon
- Derive the formula for finding the area of a regular polygon
- Apply the formula to calculate the area of a regular polygon

- Area of Similar Polygons
- Find the ratio of areas of similar polygons
- Solve problems related to ratio for areas of similar polygons

- Three Dimensional Figures
- Three Dimensional Figures
- Classify three dimensional figures
- List the characteristics of each class

- Construction of Three Dimensional Figures
- Construct three dimensional figures

- Sketching Three Dimensional Figures
- Sketch three dimensional figures
- Identify properties of three dimensional figures
- Find the angle between a line and a plane
- Calculate the angle between two planes

- Surface Area of Three Dimensional Objects
- Derive the formulae for calculating the surface area of prisms, cylinder and pyramids and cone
- Apply the formulae to calculate the surface area of spheres

- Volume of Three Dimensional Objects
- Derive the formulae for calculating volume of prisms, cylinders and pyramids
- Apply the formulae to calculate the volume of cylinders, pyramids and cones

- Probability
- Probability of an Events
- Determine the probability of an event through experiments
- Interpret experimental results in relation to real life occurrences
- Write the formula for finding the probability of an event
- Apply the formula to calculate the probability of an event

- Combined Events
- Perform experiments of two combined events
- Draw a tree diagram of combined events
- Find the probability of two combined events using the formula
- Apply the knowledge of probability to determine the occurrence of events in real life situation

- Trignometry
- Trigonometric Ratios
- Determine the sine, cosine and tangent of an angle measured in the clockwise and anticlockwise directions
- Apply trigonometric ratios to solve problems in daily life

- Sine and Cosine Functions
- Find sines and cosines of angles 0 such that -720°≤ᶿ≥ 720°
- Draw the graphs of sine and cosine
- Interpret the graphs of sine and cosine functions

- Sine and Cosine Rules
- Derive the sine and cosine rules
- Apply the sine and cosine rules in solving problems on triangles

- Compound Angles
- Apply the compound of angle formulae or sine, cosine and tangent in solving trigonometric problems

- Vectors
- Displacement and Positions of Vectors
- Explain the concept of a vector quantity
- Distinguish between displacement and position vectors
- Resolving any vector into I and J components

- Magnitude and Direction of a Vector
- Calculate the magnitude and direction of a vector

- Sum and Difference of Vectors
- Find the sum of two or more vectors
- Find the difference of vectors

- Multiplication of a Vector by a Scalar
- Multiply a vector by a scalar

- Application of Vectors
- Apply vectors in solving simple problems on velocities, displacements and forces

- Matrices And Transformations
- Operations on Matrices
- Explain the concept of a matrix
- Add matrices of order up to 2 X 2
- Subtract matrices of order up to 2 X 2
- Multiply a matrix of order 2 X 2 by a scalar
- Multiply two matrices of order up to 2 X 2

- Inverse of a Matrix
- Calculate the determinant of a 2 X 2 matrix
- Find the inverse of a 2 X 2 matrix
- Apply 2 X 2 matrix to solve simultaneous equations

- Matrices and Transformations
- Transform any point P(X, Y) into P¹(X¹,Y¹) by pre-multiplying (ᵡᵧ) with a transformation matrix T
- Apply the matrix to reflect a point P(X, Y ) in the x-axis
- Apply the matrix to reflect a point P(X, Y) in the Y-Axis
- Use a matrix operator to rotate any point P( X, Y ) through 90° 180°, 270° and 360° about the Origin
- Use the enlargement matrix E in enlarging figures

- Linear Programming
- Simultaneous Equations
- Form simultaneous equation from word problems
- Solve simultaneous equations graphically

- Inequalities
- Form linear inequalities in two unknowns from word problems
- Find the solution set of simultaneous linear inequalities graphically

- The Objective Function
- Form an objective function from word problems

- Maximum and Minimum Values
- Locate corner points on the feasible region
- Find the minimum and maximum values using the objective function

## MATHEMATICS FORM 4 SYLLABUS

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