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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 4
Trigonometry
Trigonometric ratios
By the end of the lesson, the learner should be able to:


Recall and define trigonometric ratios

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

Chart illustrating
Trigonometric ratios
- K.M, Advancing in
Math F4 Pg 51-53
- KLB Bk4 Pg 90-93 
1 5
Trigonometry
Deriving the relation Sin2 0 + Cos2 0 = 1
By the end of the lesson, the learner should be able to:


Derive trigonometric identity
Sin2 0 + Cos2 0 = 1

Practice exercise
Advancing BK 4, Ex. 4.1
Ex 4.2, Ex 4.3

Charts illustrating the
unit circle and right
- K.M, Advancing in
Math F4 Pg 59-64 
1 6
Trigonometry
Trigonometric ratios of the form y = sin x y = tan x y = cos x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = sin x
y = tan x
y = cos x

Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4 and 4.5
Patel BK 4, Ex. 4.2


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
- KLB Bk4 Pg 96-99 
1 7
Trigonometry
Trigonometric ratios of the form y = sin x y = tan x y = cos x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = sin x
y = tan x
y = cos x

Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4 and 4.5
Patel BK 4, Ex. 4.2


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
- KLB Bk4 Pg 96-99 
2 1
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
2 2
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
2 3
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
2 4
Trigonometry
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce from the graphs
y = sin x
y = tan x
y = cos x
The amplitude, wavelength and phase
angle




Practice exercise




Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-63 
2 5
Trigonometry
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce from the graphs
y = sin x
y = tan x
y = cos x
The amplitude, wavelength and phase
angle




Practice exercise




Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-63 
2 6
Trigonometry
Trigonometry y = a sin (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a sin (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 60 
2 7
Trigonometry
Trigonometry y = a cos (bx + 0) y = a tan (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a cos (bx + 0)
y = a tan (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
3 1
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
3 2
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
3 3
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
3 4
Trigonometry
Solution to simple Trigonometric equations
By the end of the lesson, the learner should be able to:


Solve simple trigonometric equations
analytically and graphically


Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.6
Patel BK 4, Ex. 4.4



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 65-67
- KLB BK 4
Pg 100-102 
3 5
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 
3 6
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 
3 7
Linear Programming
Analytical solutions of linear inequalities
By the end of the lesson, the learner should be able to:


Analyze solutions of linear inequalities

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

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 95-96
- KLB BK 4
Pg 152-155 
4 1
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 
4 2
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 
4 1-3
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 
4

OPENER CAT

5 1
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
5 2
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
5 3
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
5 4
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 
5 5
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 
5 6
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 
5 7
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 
6 1
Differentiation
Differentiation Gradient of a curve at a point
By the end of the lesson, the learner should be able to:


Find the gradient of a curve at a point
using tangent

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


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 109
- KLB BK 4
Pg 162-163 
6 2
Differentiation
Differentiation Gradient of a curve at a point
By the end of the lesson, the learner should be able to:


Find the gradient of a curve at a point
using tangent

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


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 109
- KLB BK 4
Pg 162-163 
6 3
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 
6 4
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 
6 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 
6 6
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 
6 7
Differentiation
Derivation of a Polynomial
By the end of the lesson, the learner should be able to:


Determine the derivate of a polynomial

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


Polynomials
- K.M, Advancing in
Math F4 Pg116-117
- KLB BK 4
Pg 170-171 
7 1
Differentiation
Equations of tangents And normal to the Curve
By the end of the lesson, the learner should be able to:


Find the equations of tangents and
normals to the curves

Practice exercise
Advancing BK 4,
Ex. 8.5
KLB BK 4, Ex. 8.2


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg117-118
- KLB BK 4
Pg 173-174 
7 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 
7 3
Differentiation
Curve sketching
By the end of the lesson, the learner should be able to:


Sketch a curve

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


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg120-121
- KLB BK 4
Pg 180-181 
7 4
Differentiation
Application of differentiation to calculation of distance velocity and acceleration
By the end of the lesson, the learner should be able to:


Apply differentiation in calculating
distance, velocity and accelaration

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


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg121-123
- KLB BK 4
Pg 182-183 
7 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 
7 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 
7 5-7
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 
8-10

MID-TERM EXAMS AND MID-TERM BREAK

10 3
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 
10 4
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 
10 5
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 
10 6
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
10 7
Area Approximations
Mid ordinate rule
By the end of the lesson, the learner should be able to:


Derive the mid ordinate rule

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


Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205
11 1
Area Approximations
Area by mid ordinate rule
By the end of the lesson, the learner should be able to:


Apply mid ordinate rule to approximate
area under a curve

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


Real life situations
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205 
11 2
Area Approximations
Area by mid ordinate rule
By the end of the lesson, the learner should be able to:


Apply mid ordinate rule to approximate
area under a curve

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


Real life situations
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205 
11 3
Area Approximations
Area by mid ordinate rule
By the end of the lesson, the learner should be able to:


Apply mid ordinate rule to approximate
area under a curve

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


Real life situations
- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205 
11 4
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 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
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 
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
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 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
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 6
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 7
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 
13 1
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 1-2
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 1


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