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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
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 5
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 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 
1 7
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 
2 1
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 
2 2
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 
2 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 
2 4
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 5
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 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 
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 
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
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 3
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 4
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 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 
3 6
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 7
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 
4 1
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
4 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
4 3
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
4 4
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
4 5
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
4 6
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 
4 7
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 
5 1
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 
5 2
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 
5 3
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 
5 4
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 
5 5
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 
5 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 
5 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 
6 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
6 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
6 3
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
6 4
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
6 5
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
6 6
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
6 7
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 
7 1
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 
7 2
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 
7 3
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 
7 4
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 
7 5
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 
7 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 
7 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 
8-9

MID TERM EXAMS

9-10

MID TERM BREAK

13-14

END TERM EXAMS & CLOSING

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