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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

Revision of end of term 3 exams
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
Area of 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
Establish and use the relationship between
area scale factor and determinant of a
matrix
Practice exercise Ex 1.5
KLB BK 4
KLB BK 4 pg 27
Calculators
Boards and strings
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
3 1
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 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
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 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
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 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
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 1
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 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
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 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
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 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 
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
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 3
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 4
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 5
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 
5 6
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 
5 7
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 1
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 2
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 3
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 4
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 5
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 
6 6
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 
6 7
Trigonometry
Trigonometric ratios
Deriving the relation Sin2 0 + Cos2 0 = 1
By the end of the lesson, the learner should be able to:
Recall and define trigonometric ratios
Derive trigonometric identity
Sin2 0 + Cos2 0 = 1
Practice exercise
KLB Pg 4, Ex. 4.1
Advancing BK 4, Ex. 4.1
Ex 4.2, Ex 4.3
Chart illustrating
Trigonometric ratios
Charts illustrating the
unit circle and right
- K.M, Advancing in
Math F4 Pg 51-53
- KLB Bk4 Pg 90-93 
7

Midterm exams

8

Half term break

9 1
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 
9 2
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 
9 3
Three Dimensional Geometry
Geometrical properties of common solids
By the end of the lesson, the learner should be able to:


State the geometric properties of
common solids
? Education Plus Agencies

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.1

3-D models
- K.M, Advancing in
Math F4 Pg 72-73
- KLB BK 4
Pg 104-106 
9 4
Three Dimensional Geometry
Skew lines projection of a line onto a plane
By the end of the lesson, the learner should be able to:


Identify projection of a line onto a
Plane

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 73
- KLB BK 4
Pg 118-119 
9 5
Three Dimensional Geometry
Length of a line in 3D geometry
By the end of the lesson, the learner should be able to:


Calculate the length between two points
in 3D geometry

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 78-80 
9 6
Three Dimensional Geometry
Angle between a line and a line
By the end of the lesson, the learner should be able to:


Identify and calculate the angle between
a line and a line

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 77-80
9 7
Three Dimensional Geometry
A line and a plane
By the end of the lesson, the learner should be able to:


Identify and calculate the angle between
a line and a plane
Practice exercise
Advancing BK 4,
Ex. 5.3 and 5.4
KLB Pg 4, Ex. 5.1

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 106-109 
10 1
Three Dimensional Geometry
A plane and a plane
By the end of the lesson, the learner should be able to:


Identify and calculate the angle
between a line and a plane

Practice exercise
Advancing BK 4,
Ex. 5.4
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 113-118 
10 2
Three Dimensional Geometry
Angles between skew lines
By the end of the lesson, the learner should be able to:


Identify and calculate the angle
between skew lines

Practice exercise
Advancing BK 4,
Ex. 5.4
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 118-119 
10 3
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 
10 4
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 
10 5
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 
10 6
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 
10 7
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 
11 1
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 
11 2
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 
11 3
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 
11 4
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 
11 5
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 
11 6
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 
11 6-7
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 
12-13

End of term exams
14

Closing of term 1

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