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
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