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SCHEME OF WORK
Mathematics
Form 4 2025
TERM I
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 5
Matrices and Transformation
Transformation on a Cartesian plane
By the end of the lesson, the learner should be able to:


Relate image and objects under a given
transformation on the Cartesian plane

Drawing objects and
their images on
Cartesian plane
Practice Ex 1.1 P5


Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 1-3
- KLB Pg 1-6 
1 6
Matrices and Transformation
Identification of transformation matrix
By the end of the lesson, the learner should be able to:


Determine the matrix of a
transformation

Practice exercise
KLB EX 1.2 and 1.3

Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 3-9
- KLB Pg 6-16 
1 7
Matrices and Transformation
Successive transformation
By the end of the lesson, the learner should be able to:


Perform successive transformation

Drawing objects and its
successive images
KLB Ex 1.4

Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 15-17
- KLB Pg 16-24 
2 1
Matrices and Transformation
Single matrix of transformation for successive transformation
By the end of the lesson, the learner should be able to:


Determine and identify a single matrix
for successive transformation

Drawing objects and its
successive images
KLB Ex 1.4

Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 15-17
- KLB Pg 21 
2 2
Matrices and Transformation
Relate Identity Matrix and Transformation
By the end of the lesson, the learner should be able to:


Relate identity matrix and
transformation

Practice exercise Ex 1.4
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 13-14
- KLB Pg 22-24 
2 3-4
Matrices and Transformation
Inverse of a matrix area scale factor and determinant of a matrix
Area of scale factor and determinant of a matrix
By the end of the lesson, the learner should be able to:


Determine the inverse of a
transformation



Establish and use the relationship between
area scale factor and determinant of a
matrix

Practice exercise Ex 1.5
KLB BK 4


Practice exercise Ex 1.5
KLB BK 4 pg 27

Calculators

Boards and strings
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
- K.M, Advancing in
Math F4 Pg 17-19
- KLB Pg 26-27 
2 5
Matrices and Transformation
Shear and stretch
By the end of the lesson, the learner should be able to:


Determine shear and stretch

Drawing objects and
images under shear and
stretch. Ex 1.6

Square boards
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 10-13
- KLB Pg 28-34 
2 6
Loci
Common types of Loci
By the end of the lesson, the learner should be able to:


Define locus

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40-41
- KLB Bk4 Pg 68 
2 7
Loci
Common types of Loci
By the end of the lesson, the learner should be able to:


Define locus

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40-41
- KLB Bk4 Pg 68 
3 1
Loci
Perpendicular bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40
- KLB Bk4 Pg 69
3 2
Loci
Loci of a point at a given distance from a fixed point and fixed line
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40
- KLB Bk4 Pg 70-71 
3 3-4
Loci
Angle bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 41
- KLB Bk4 Pg 71-72 
3 5
Loci
Constant angle loci
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 42-43
- KLB Bk4 Pg 72-74 
3 6
Loci
Construction:- loci of the equalities
By the end of the lesson, the learner should be able to:


Construct loci

Involving inequalities

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 49 
3 7
Loci
Loci involving chords
By the end of the lesson, the learner should be able to:


Construct loci involving chords

Practice exercise
KLB Pg 4, Ex. 3.5

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 45-47
- KLB Bk4 Pg 84 
4 1
Loci
Loci under given conditions including intersecting chords
By the end of the lesson, the learner should be able to:


Construct loci involving intersecting
Loci and under given conditions

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 47-49 
4 2
Loci
Loci under given conditions including intersecting chords
By the end of the lesson, the learner should be able to:


Construct loci involving intersecting
Loci and under given conditions

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 47-49 
4 1-2
Loci
Loci under given conditions including intersecting chords
By the end of the lesson, the learner should be able to:


Construct loci involving intersecting
Loci and under given conditions

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 47-49 
4 3-4
Trigonometry
Longitudes and Latitudes
Trigonometric ratios
Latitudes and longitudes (great and small circle)
By the end of the lesson, the learner should be able to:


Recall and define trigonometric ratios


Define the great and small circle in
relation to a sphere (including the earth)

Practice exercise
KLB Pg 4, Ex. 4.1
Advancing BK 4, Ex. 4.1

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1

Chart illustrating
Trigonometric ratios

Globe
Ball
- K.M, Advancing in
Math F4 Pg 51-53
- KLB Bk4 Pg 90-93 
- K.M, Advancing in
Math F4 Pg 81-83
- KLB BK 4
Pg 125-126 
4 5
Longitudes and Latitudes
Latitudes and longitudes (great and small circle)
By the end of the lesson, the learner should be able to:


Define the great and small circle in
relation to a sphere (including the earth)

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1

Globe
Ball
- K.M, Advancing in
Math F4 Pg 81-83
- KLB BK 4
Pg 125-126 
4 6
Longitudes and Latitudes
The equator and Greenwich meridian
By the end of the lesson, the learner should be able to:


Define the great and small circle in
relation to a sphere (including the earth)

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1

Globe
Ball
- K.M, Advancing in
Math F4 Pg 83
- KLB BK 4
Pg 126-127 
4 7
Longitudes and Latitudes
Longitudes and Latitudes Position of a place on the surface of the earth
By the end of the lesson, the learner should be able to:


Locate a place on the earth?s surface in
terms of latitude and longitude

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1

Globe
Ball
- K.M, Advancing in
Math F4 Pg 86
- KLB BK 4
Pg 128-129 
5 1
Longitudes and Latitudes
Radii of small and great circles
By the end of the lesson, the learner should be able to:


Establish the relationship between the
radii of small and great circles

Practice exercise
Advancing BK 4,
Ex. 6.4
KLB Pg 4, Ex. 6.2

Globe
Ball
- K.M, Advancing in
Math F4 Pg 89
- KLB BK 4
Pg 133-134 
5 2
Longitudes and Latitudes
Distance between two points along the small and great circle in nautical miles and kilometres
By the end of the lesson, the learner should be able to:


Calculate the distance between two
points along the great circles and small
circles (longitudes and latitudes) in
nautical miles (nm) and kilometres (km)

Practice exercise
Advancing BK 4,
Ex. 6.4
KLB Pg 4, Ex. 6.2

Globe
Ball
- K.M, Advancing in
Math F4 Pg 87-90
- KLB BK 4
Pg 130-139 
5 3-4
Longitudes and Latitudes
Distance in nautical miles and kilometers along a circle of latitude
By the end of the lesson, the learner should be able to:


Calculate the distance in nautical miles
and kilometers along a circle of
latitude

Practice exercise
Advancing BK 4,
Ex. 6.5
KLB Pg 4, Ex. 6.3

Globe
Ball
Calculators
- K.M, Advancing in
Math F4 Pg 87-98
- KLB BK 4
Pg 130-133 
5 5
Longitudes and Latitudes
Time and longitude
By the end of the lesson, the learner should be able to:


Calculate time in relation to kilometers
per hour

Practice exercise
Advancing BK 4,
Ex. 6.5
KLB Pg 4, Ex. 6.3

Globe
Ball
Calculators
- K.M, Advancing in
Math F4 Pg 91-92
- KLB Bk4Pg141-142 
5 6
Longitudes and Latitudes
Speed in knots and kilometer per hour
By the end of the lesson, the learner should be able to:


Calculate speed in knots and
kilometer per hour

Practice exercise
Advancing BK 4,
Ex. 6.6
KLB Pg 4, Ex. 6.3

Real life situation
- K.M, Advancing in
Math F4 Pg 96-98
- KLB BK 4 Pg 150 
5 6-7
Longitudes and Latitudes
Speed in knots and kilometer per hour
By the end of the lesson, the learner should be able to:


Calculate speed in knots and
kilometer per hour

Practice exercise
Advancing BK 4,
Ex. 6.6
KLB Pg 4, Ex. 6.3

Real life situation
- K.M, Advancing in
Math F4 Pg 96-98
- KLB BK 4 Pg 150 
6

Cycle one exams

7 1
Linear Programming
Formation of linear Inequalities
By the end of the lesson, the learner should be able to:


Form linear inequalities based on real
life situations

Practice exercise
Advancing BK 4,
Ex. 7.3
KLB BK 4, Ex. 7.1

Inequalities
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
7 2
Linear Programming
Formation of linear Inequalities
By the end of the lesson, the learner should be able to:


Form linear inequalities based on real
life situations

Practice exercise
Advancing BK 4,
Ex. 7.3
KLB BK 4, Ex. 7.1

Inequalities
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
7 3-4
Linear Programming
Analytical solutions of linear inequalities
Solutions of linear inequalities by graph
By the end of the lesson, the learner should be able to:


Analyze solutions of linear inequalities


Represent the linear inequalities on a
graph

Practice exercise
Advancing BK 4,
Ex. 7.1
KLB BK 4, Ex. 7.2

Representing inequalities
in a graph
Advancing BK 4,
Ex. 7.2
KLB BK 4, Ex. 7.2

Square boards
Graph papers


Square boards
- K.M, Advancing in
Math F4 Pg 95-96
- KLB BK 4
Pg 152-155 
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
7 5
Linear Programming
Solutions of linear inequalities by graph
By the end of the lesson, the learner should be able to:


Represent the linear inequalities on a
graph

Representing inequalities
in a graph
Advancing BK 4,
Ex. 7.2
KLB BK 4, Ex. 7.2


Square boards
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
7 6
Linear Programming
Optimization (include objective)
By the end of the lesson, the learner should be able to:


Solve and interpret the optimum
solution of the linear inequalities

Practice exercise
Advancing BK 4,
Ex. 7.5
KLB BK 4, Ex. 7.3


Graph paper
- K.M, Advancing in
Math F4 Pg 95-96
- KLB BK 4
Pg 152-155
7 7
Linear Programming
Application of linear programming to real life situation
By the end of the lesson, the learner should be able to:


Solve and interpret the optimum
solution of the linear programming to
real life situations

Practice exercise
Advancing BK 4,
Ex. 7.5
KLB BK 4, Ex. 7.3

Real life situations
Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 99-100
- KLB BK 4
Pg 157-159 
8

Half term break

9 1
Differentiation
Average and instantaneous rates of change
By the end of the lesson, the learner should be able to:


Find out the average rates of change
and instantaneous rate of change

Practice exercise
Advancing BK 4,
Ex. 8.1
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg100-103
- KLB BK 4
Pg 157-159 
9 2
Differentiation
Average and instantaneous rates of change
By the end of the lesson, the learner should be able to:


Find out the average rates of change
and instantaneous rate of change

Practice exercise
Advancing BK 4,
Ex. 8.1
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg100-103
- KLB BK 4
Pg 157-159 
9 3-4
Differentiation
Average and instantaneous rates of change
Differentiation Gradient of a curve at a point
By the end of the lesson, the learner should be able to:


Find out the average rates of change
and instantaneous rate of change


Find the gradient of a curve at a point
using tangent

Practice exercise
Advancing BK 4,
Ex. 8.1
KLB BK 4, Ex. 8.1

Practice exercise
Advancing BK 4,
Ex. 8.2
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg100-103
- KLB BK 4
Pg 157-159 
- K.M, Advancing in
Math F4 Pg 109
- KLB BK 4
Pg 162-163 
9 5
Differentiation
Gradient of y = xn where n is a positive interger
By the end of the lesson, the learner should be able to:


Find the gradient function of the form
y = xn (n = positive interger)

Practice exercise
Advancing BK 4,
Ex. 8.2 and 8.3
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 110
- KLB BK 4
Pg 164-167 
9 6
Differentiation
Gradient of y = xn where n is a positive interger
By the end of the lesson, the learner should be able to:


Find the gradient function of the form
y = xn (n = positive interger)

Practice exercise
Advancing BK 4,
Ex. 8.2 and 8.3
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 110
- KLB BK 4
Pg 164-167 
9 7
Differentiation
Delta notation (?)
By the end of the lesson, the learner should be able to:


- Relate the delta notation to rates of
change
- Define derivative of a function
polynomial and differentiation

Practice exercise
Advancing BK 4,
Ex. 8.2 and 8.4
KLB BK 4, Ex. 8.1


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg114-115
- KLB BK 4
Pg 167-170 
10 1
Differentiation
Derivation of a Polynomial
Equations of tangents And normal to the Curve
By the end of the lesson, the learner should be able to:
Determine the derivate of a polynomial
Find the equations of tangents and
normals to the curves
Practice exercise
Advancing BK 4,
Ex. 8.1
KLB BK 4, Ex. 8.1
Ex. 8.5
KLB BK 4, Ex. 8.2
Polynomials
Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg116-117
- KLB BK 4
Pg 170-171 
10 2
Differentiation
Stationery point
By the end of the lesson, the learner should be able to:


Sketch a sketch

Practice exercise
Advancing BK 4,
Ex. 8.6
KLB BK 4, Ex. 8.3


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg118-120
- KLB BK 4
Pg 174-179 
10 3-4
Differentiation
Curve sketching
Application of differentiation to calculation of distance velocity and acceleration
By the end of the lesson, the learner should be able to:


Sketch a curve


Apply differentiation in calculating
distance, velocity and accelaration

Practice exercise
Advancing BK 4,
Ex. 8.7
KLB BK 4, Ex. 8.4

Practice exercise
Advancing BK 4,
Ex. 8.8
KLB BK 4, Ex. 8.5


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg120-121
- KLB BK 4
Pg 180-181 
- K.M, Advancing in
Math F4 Pg121-123
- KLB BK 4
Pg 182-183 
10 5
Differentiation
Maxima and minima
By the end of the lesson, the learner should be able to:


Apply differentiation in finding maxima
and minima of a function

Practice exercise
Advancing BK 4,
Ex. 8.9
KLB BK 4, Ex. 8.6


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg118-120
- KLB BK 4
Pg 186-188 
10 6
Differentiation
Maxima and minima
By the end of the lesson, the learner should be able to:


Apply differentiation in finding maxima
and minima of a function

Practice exercise
Advancing BK 4,
Ex. 8.9
KLB BK 4, Ex. 8.6


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg118-120
- KLB BK 4
Pg 186-188 
10 7
Area Approximations
Area by counting technique
By the end of the lesson, the learner should be able to:


Relate approximate area of irregular
shapes by counting technique

Practice exercise
Advancing BK 4, Ex. 9.1
KLB BK 4, Ex. 9.1


Irregular shapes from
Maps
Tracing papers
- K.M, Advancing in
Math F4 Pg125-127
- KLB BK 4
Pg 190-193 
11 1
Area Approximations
Trapezium rule
By the end of the lesson, the learner should be able to:


Find and derive trapezium rule

Practice exercise
Advancing BK 4, Ex. 9.3
KLB BK 4, Ex. 9.2


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg128-130
- KLB BK 4
Pg 194-199 
11 2
Area Approximations
Area using trapezium rule
By the end of the lesson, the learner should be able to:


Apply trapezium rule estimate area
under curves

Practice exercise
Advancing BK 4, Ex. 9.4
KLB BK 4, Ex. 9.2


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg130-132
- KLB BK 4
Pg 195-199
11 3-4
Area Approximations
Mid ordinate rule
Area by mid ordinate rule
By the end of the lesson, the learner should be able to:


Derive the mid ordinate rule


Apply mid ordinate rule to approximate
area under a curve

Practice exercise
Advancing BK 4, Ex. 9.5
KLB BK 4, Ex. 9.3


Square boards
Graph paper


Real life situations
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205 
11 5
Integration
Differentiation
By the end of the lesson, the learner should be able to:


Carry out the process of differentiation

Practice exercise
Advancing BK 4,
Ex. 10.1
KLB BK 4, Ex. 10.1


Real life situations
- K.M, Advancing in
Math F4 Pg133-134
- KLB BK 4
Pg 202-205 
11 6
Integration
Differentiation
By the end of the lesson, the learner should be able to:


Carry out the process of differentiation

Practice exercise
Advancing BK 4,
Ex. 10.1
KLB BK 4, Ex. 10.1


Real life situations
- K.M, Advancing in
Math F4 Pg133-134
- KLB BK 4
Pg 202-205 
11 7
Integration
Reverse differentiation
By the end of the lesson, the learner should be able to:


Reverse differentiation

Practice exercise
Advancing BK 4,
Ex. 10.1 and 10.2
KLB BK 4, Ex. 10.1


Real life situations
- K.M, Advancing in
Math F4 Pg135-138
- KLB BK4  Pg207-210 
12 1
Integration
Integration, notation and sum of area trapezia
By the end of the lesson, the learner should be able to:


Integrate notations and sum of areas
of trapezia

Practice exercise
Advancing BK 4,
Ex. 10.3
KLB BK 4, Ex. 10.1

Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg138-140
- KLB BK 4
Pg 212-215
12 2
Integration
Integration, notation and sum of area trapezia
By the end of the lesson, the learner should be able to:


Integrate notations and sum of areas
of trapezia

Practice exercise
Advancing BK 4,
Ex. 10.3
KLB BK 4, Ex. 10.1

Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg138-140
- KLB BK 4
Pg 212-215
12 3-4
Integration
Indefinite and definite intergral
By the end of the lesson, the learner should be able to:


Indefine and define intergral

Practice exercise
Advancing BK 4,
Ex. 10.4
KLB BK 4, Ex. 10.2

Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg140-142
- KLB BK 4
Pg 212-215 
12 5
Integration
Integral notation
By the end of the lesson, the learner should be able to:


Intergral notation

Practice exercise
Advancing BK 4,
Ex. 10.5
KLB BK 4, Ex. 10.3


Polynomials
- K.M, Advancing in
Math F4 Pg142-145
- KLB BK 4
Pg 215-220 
12 6
Integration
Application in Kinematics
By the end of the lesson, the learner should be able to:


Apply in kinematics

Practice exercise
Advancing BK 4,
Ex. 10.6
KLB BK 4, Ex. 10.4


Real life situations
- K.M, Advancing in
Math F4 Pg145-160
- KLB BK 4
Pg 223-225 
12 6-7
Integration
Application in Kinematics
By the end of the lesson, the learner should be able to:


Apply in kinematics

Practice exercise
Advancing BK 4,
Ex. 10.6
KLB BK 4, Ex. 10.4


Real life situations
- K.M, Advancing in
Math F4 Pg145-160
- KLB BK 4
Pg 223-225 
13

End of term exams


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