Form Four Mathematics Syllabus Topics

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 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

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 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




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




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




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 premultiplying (ᵡᵧ) with a transformation matrix T

Apply the matrix to reflect a point P(X, Y ) in the xaxis

Apply the matrix to reflect a point P(X, Y) in the YAxis

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




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

