MATSYLBSF4
i.
Equation of a Line
ยง Derive the
general equation of a straight line
ii.
Midpoint of a Line Segment
ยง Determine the coordinates
of the midpoint of a line segment
iii.
Distance Between Two Points on a Plane
ยง Calculate the
distance between two points on a plane
iv.
Parallel and Perpendicular Lines
ยง Compute
gradients in order to determine the conditions for any two lines to be parallel
ยง Compute
gradients in order to determine the conditions for any two lines to be
perpendicular
ยง Solve problems
on parallel and perpendicular lines
i.
Area of any Triangle
ยง Derive the
formula for the area of any triangle
ยง Apply the
formula to find the area of any triangle
ii.
Area of a Rhombus
ยง Derive the
formula for finding the area of rhombi in terms of the diagonals.
ยง Apply the
formula to find the areas of quadrilaterals
iii.
Perimeter of a Regular Polygon
ยง Derive the
formula for finding the length of a side of a regular polygon
ยง The formula to
determine the perimeter of a regular polygon
iv.
Area of a Regular Polygon
ยง Derive the
formula for finding the area of a regular polygon
ยง Apply the
formula to calculate the area of a regular polygon
v.
Area of Similar Polygons
ยง Find the ratio
of areas of similar polygons
ยง Solve problems
related to ratio for areas of similar polygons
i.
Three Dimensional Figures
ยง Classify three
dimensional figures
ยง List the
characteristics of each class
ii.
Construction of Three Dimensional Figures
ยง Construct three
dimensional figures
iii.
Sketching Three Dimensional Figures
ยง Sketch three
dimensional figures
ยง Identify properties
of three dimensional figures
ยง Find the angle
between a line and a plane
ยง Calculate the
angle between two planes
iv.
Surface Area of Three Dimensional Objects
ยง Derive the
formulae for calculating the surface area of prisms, cylinder and pyramids and
cone
ยง Apply the
formulae to calculate the surface area of spheres
v.
Volume of Three Dimensional Objects
ยง Derive the
formulae for calculating volume of prisms, cylinders and pyramids
ยง Apply the
formulae to calculate the volume of cylinders, pyramids and cones
i.
Probability of an Events
ยง Determine the
probability of an event through experiments
ยง Interpret
experimental results in relation to real life occurrences
ยง Write the
formula for finding the probability of an event
ยง Apply the
formula to calculate the probability of an event
ii.
Combined Events
ยง Perform
experiments of two combined events
ยง Draw a tree
diagram of combined events
ยง Find the
probability of two combined events using the formula
ยง Apply the
knowledge of probability to determine the occurrence of events in real life
situation
i.
Trigonometric Ratios
ยง Determine the
sine, cosine and tangent of an angle measured in the clockwise and
anticlockwise directions
ยง Apply
trigonometric ratios to solve problems in daily life
ii.
Sine and Cosine Functions
ยง Find sines and
cosines of angles 0 such that -720ยฐโคแถฟโฅ 720ยฐ
ยง Draw the graphs
of sine and cosine
ยง Interpret the
graphs of sine and cosine functions
iii.
Sine and Cosine Rules
ยง Derive the sine
and cosine rules
ยง Apply the sine
and cosine rules in solving problems on triangles
iv.
Compound Angles
ยง Apply the
compound of angle formulae or sine, cosine and tangent in solving trigonometric
problems
i.
Displacement and Positions of Vectors
ยง Explain the
concept of a vector quantity
ยง Distinguish
between displacement and position vectors
ยง Resolving any
vector into I and J components
ii.
Magnitude and Direction of a Vector
ยง Calculate the
magnitude and direction of a vector
iii.
Sum and Difference of Vectors
ยง Find the sum of
two or more vectors
ยง Find the
difference of vectors
iv.
Multiplication of a Vector by a Scalar
ยง Multiply a
vector by a scalar
v.
Application of Vectors
ยง Apply vectors
in solving simple problems on velocities, displacements and forces
i.
Operations on Matrices
ยง Explain the
concept of a matrix
ยง Add matrices of
order up to 2 X 2
ยง Subtract
matrices of order up to 2 X 2
ยง Multiply a
matrix of order 2 X 2 by a scalar
ยง Multiply two
matrices of order up to 2 X 2
ii.
Inverse of a Matrix
ยง Calculate the
determinant of a 2 X 2 matrix
ยง Find the
inverse of a 2 X 2 matrix
ยง Apply 2 X 2
matrix to solve simultaneous equations
iii.
Matrices and Transformations
ยง Transform any
point P(X, Y) into Pยน(Xยน,Yยน) by pre-multiplying (แตกแตง) with a transformation
matrix T
ยง Apply the
matrix to reflect a point P(X, Y ) in the x-axis
ยง Apply the
matrix to reflect a point P(X, Y) in the Y-Axis
ยง Use a matrix
operator to rotate any point P( X, Y ) through 90ยฐ 180ยฐ, 270ยฐ and 360ยฐ about
the Origin
ยง Use the
enlargement matrix E in enlarging figures
i.
Simultaneous Equations
ยง Form
simultaneous equation from word problems
ยง Solve
simultaneous equations graphically
ii.
Inequalities
ยง Form linear
inequalities in two unknowns from word problems
ยง Find the
solution set of simultaneous linear inequalities graphically
iii.
The Objective Function
ยง Form an
objective function from word problems
iv.
Maximum and Minimum Values
ยง Locate corner
points on the feasible region
ยง Find the
minimum and maximum values using the objective function
