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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

reporting and revision of end term exams

2

opener exams

3 1
Graphical methods
Tables of given relations
By the end of the lesson, the learner should be able to:

Draw tables of given relations
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 299
3 2
Graphical methods
Graphs of given relations
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:
Draw graphs of given relations
Draw tables of cubic functions
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 300
3 3
Graphical methods
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:

Draw graphs of cubic equations
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 302-304
3 4
Graphical methods
Average rates of change
By the end of the lesson, the learner should be able to:

Calculate the average rates of change
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 304-306
3 5
Graphical methods
Rate of change at an instant
Empirical graphs
By the end of the lesson, the learner should be able to:
Calculate the rate of change at an instant
Draw the empirical graphs
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 310-311
3 6
Graphical methods
Reduction of non-linear laws to linear form
By the end of the lesson, the learner should be able to:

Draw the graphs of reduction of non-linear laws to linear form
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 318-321
3 7
Graphical methods
Reduction of non-linear laws to linear form
By the end of the lesson, the learner should be able to:

Draw the graphs of reduction of non-linear laws to linear form
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 318-321
4 1
Graphical methods
Reduction of non-linear laws to linear form
Equation of a circle
By the end of the lesson, the learner should be able to:
Draw the graphs of reduction of non-linear laws to linear form
Find the equation of a circle
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph bookss
Geoboard & graph books
KLB Mathematics
Book Three
Pg 318-321
4 2
Graphical methods
Equation of a circle
By the end of the lesson, the learner should be able to:

Find the equation of a circle
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 327-328
4 3
Graphical methods
Equation of a circle
By the end of the lesson, the learner should be able to:

Find the equation of a circle
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 327-328
4 4
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 
4 5
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 
4 6
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 
4 7
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 
5 1
Matrices and Transformation
Relate Identity Matrix 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:
Relate identity matrix and
transformation
Determine the inverse of a
Practice exercise Ex 1.4
KLB BK 4
Practice exercise Ex 1.5
Calculators
- K.M, Advancing in
Math F4 Pg 13-14
- KLB Pg 22-24 
5 2
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 
5 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 
5 4
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 
5 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 
5 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 
5 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 
6 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 
6 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 
6 3
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 
6 4
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 
6 5
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 
6 6
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 
6 7
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 
7 1
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 
7 2
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 
7 3
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 
7 4
Longitudes and Latitudes
Longitudes and Latitudes Position of a place on the surface of the earth
Radii of small and great circles
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
Establish the relationship between the
radii of small and great circles
Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1
Ex. 6.4
KLB Pg 4, Ex. 6.2
Globe
Ball
- K.M, Advancing in
Math F4 Pg 86
- KLB BK 4
Pg 128-129 
7 5
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 
7 6
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 
7 6-7
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 
8

Midterm break

9 1
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 
9 2
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 
9 3
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 
9 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 
9 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 
9 6
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 
9 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 
10 1
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 2
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 
10 3
Differentiation
Equations of tangents And normal to the Curve
Stationery point
By the end of the lesson, the learner should be able to:
Find the equations of tangents and
normals to the curves
Sketch a sketch
Practice exercise
Advancing BK 4,
Ex. 8.5
KLB BK 4, Ex. 8.2
Ex. 8.6
KLB BK 4, Ex. 8.3
Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg117-118
- KLB BK 4
Pg 173-174 
10 4
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 
10 5
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 
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
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 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 
11 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 
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
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
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 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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