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SCHEME OF WORK
Mathematics
Form 4 2025
TERM II
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 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 
1 3
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 
1 4
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 
1 5
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 
1 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 
1 7
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 
1 8
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 
2 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 
2 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 
2 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 
2 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 
2 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 
2 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 
2 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 
2 8
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 
3 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 
3 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
3 3
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
3 4
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 
3 5
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 
3 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 
3 7
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 
3 8
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 
4 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
4 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
4 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 
4 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 
4 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 
4 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 
4 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 
4 8
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 

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