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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 6
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
1 7
Graphical methods
Graphs of given relations
By the end of the lesson, the learner should be able to:

Draw graphs of given relations
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 300
2 1
Graphical methods
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:

Draw tables of cubic functions
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 301
2 2
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
2 3
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
2 4
Graphical methods
Rate of change at an instant
By the end of the lesson, the learner should be able to:

Calculate the rate of change at an instant
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 310-311
2 5
Graphical methods
Empirical graphs
By the end of the lesson, the learner should be able to:

Draw the empirical graphs
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 315-316
2 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
2 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
3 1
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 bookss
KLB Mathematics
Book Three
Pg 318-321
3 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 325-326
3 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
3 4
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
3 5
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
3 6
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 
3 7
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 1
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 2
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 3
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 
4 4
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 
4 5
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 
4 6
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 
4 7
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 1
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 2
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 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 
5 4
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 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 
5 6
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 
5 7
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 1
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 2
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 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
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 
7 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 
7 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 
7 3
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
7 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 
7 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 
7 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 
7 6-7
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 
8

Midterm break
9 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 
9 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 
9 3
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 
9 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 
9 5
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 
9 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 
9 7
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 
10 1
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 
10 2
Trigonometry
Deriving the relation Sin2 0 + Cos2 0 = 1
By the end of the lesson, the learner should be able to:


Derive trigonometric identity
Sin2 0 + Cos2 0 = 1

Practice exercise
Advancing BK 4, Ex. 4.1
Ex 4.2, Ex 4.3

Charts illustrating the
unit circle and right
- K.M, Advancing in
Math F4 Pg 59-64 
10 3
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 
10 4
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 
10 5
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
10 6
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
10 7
Trigonometry
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce from the graphs
y = sin x
y = tan x
y = cos x
The amplitude, wavelength and phase
angle




Practice exercise




Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-63 
11 1
Trigonometry
Trigonometry y = a sin (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a sin (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 60 
11 2
Trigonometry
Trigonometry y = a sin (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a sin (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 60 
11 3
Trigonometry
Trigonometry y = a sin (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a sin (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 60 
11 4
Trigonometry
Trigonometry y = a cos (bx + 0) y = a tan (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a cos (bx + 0)
y = a tan (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
11 5
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
11 6
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
11 7
Trigonometry
Solution to simple Trigonometric equations
By the end of the lesson, the learner should be able to:


Solve simple trigonometric equations
analytically and graphically


Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.6
Patel BK 4, Ex. 4.4



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 65-67
- KLB BK 4
Pg 100-102 
12 1
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 
12 2
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 
12 3
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 
12 4
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
12 5
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 
12 6
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 
12 7
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 

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