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SCHEME OF WORK
Mathematics
Form 4 2025
TERM III
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
2 1
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 
2 2
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 
2 3
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 4
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 5
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 6
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 7
Matrices and Transformation
Inverse of a matrix area 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

Practice exercise Ex 1.5
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
3 1
Matrices and Transformation
Area of scale factor and determinant of a matrix
By the end of the lesson, the learner should be able to:


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


Practice exercise Ex 1.5
KLB BK 4 pg 27

Boards and strings
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 17-19
- KLB Pg 26-27 
3 2
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 
3 3
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 
3 4
Statistics
Ogive
By the end of the lesson, the learner should be able to:


Use cumulative frequency tables to
Draw the ogive

Drawing cumulative
frequency curve (ogive)
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 28-29
- KLB Pg 51-52 
3 5
Statistics
Ogive
By the end of the lesson, the learner should be able to:


Use cumulative frequency tables to
Draw the ogive

Drawing cumulative
frequency curve (ogive)
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 28-29
- KLB Pg 51-52 
3 6
Statistics
Median
By the end of the lesson, the learner should be able to:


Estimate the median and quartiles by
Calculations
Ogive

Practice exercise
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
Calculators
- K.M, Advancing in
Math F4 Pg 29-31
- KLB Pg 48 
3 7
Statistics
Median
By the end of the lesson, the learner should be able to:


Estimate the median and quartiles by
Calculations
Ogive

Practice exercise
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
Calculators
- K.M, Advancing in
Math F4 Pg 29-31
- KLB Pg 48 
4 1
Statistics
Quartile
By the end of the lesson, the learner should be able to:


Estimate median and quartiles by
Calculations
ogive

Practice exercise
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
Calculators
- K.M, Advancing in
Math F4 Pg 29-31
- KLB Pg 46 
4 2
Statistics
Range- inter quartile range
By the end of the lesson, the learner should be able to:


Define and calculate measure of
dispersion-range, quartiles and
inter-quartile range

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 32-33
- KLB BK 4 
4 3
Statistics
Range- inter quartile range
By the end of the lesson, the learner should be able to:


Define and calculate measure of
dispersion-range, quartiles and
inter-quartile range

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 32-33
- KLB BK 4 
4 4
Statistics
Quartile deviation
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
4 5
Statistics
Quartile deviation
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
4 6
Statistics
Variance
By the end of the lesson, the learner should be able to:


Define and calculate measures of
Dispersion, variance interpret measure
of dispersion

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
4 7
Statistics
Standard deviation
By the end of the lesson, the learner should be able to:


- Define and calculate measures of
dispersion, standard deviation
- Interpret measures of dispersion


Ex. 2.3
Exams ? CATS


Calculators
- K.M, Advancing in
Math F4 Pg 34-39
- KLB Bk4 Pg 60 
5 1
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 
5 2
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 
5 3
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 
5 4
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
5 5
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 
5 6
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 
5 7
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 
6 1
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 
6 2
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 
6 3
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 
6 4
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 
6 5
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 
6 6
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 
6 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 
7 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 
7 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 
7 3
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 4
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 5
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 6
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 7
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 
8 1
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 2
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 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 
8 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 
8 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 
8 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
8 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
9 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 
9 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 
9 3
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 
9 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 
9 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 
9 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 
9 7
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
10 1
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 
10 2
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 
10 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 
10 4
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 
10 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 
10 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 
10 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 

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