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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
2 1
Approximations and Errors
Computing using calculators
Computing using calculators
By the end of the lesson, the learner should be able to:
Solve basic operations using calculators
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 24-26
2 2
Approximations and Errors
Approximation
By the end of the lesson, the learner should be able to:

Approximate values by rounding off
Approximate values by truncation
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 29-30
2 3
Approximations and Errors
Estimation
Accuracy and errors
By the end of the lesson, the learner should be able to:
Approximate values by estimation
Find the absolute error
Find the relative error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 30
2 4
Approximations and Errors
Percentage error
By the end of the lesson, the learner should be able to:

Find the percentage error of a given value
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 32-34
2 5
Approximations and Errors
Rounding off error and truncation error
By the end of the lesson, the learner should be able to:

Find the rounding off error
Find the truncation error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 34
2 6
Approximations and Errors
Propagation of errors
Propagation of errors
By the end of the lesson, the learner should be able to:
Find the propagation of errors in addition and subtraction
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 35-36
2 7
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in multiplication
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
3 1
Approximations and Errors
Propagation of errors
Propagation of errors
By the end of the lesson, the learner should be able to:
Find the propagation of errors in multiplication
Find the propagation of errors in division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
3 2
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 37-38
3 3
Approximations and Errors
Trigonometry (II)
Word problems
The unit circle
By the end of the lesson, the learner should be able to:
Find the propagation of errors of a word problem
Draw the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 39-40
3 4
Trigonometry (II)
The unit circle
By the end of the lesson, the learner should be able to:

Solve problems using the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 43-44
3 5
Trigonometry (II)
Trigonometric ratios of angles greater than 900
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:
Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
Calculators 
KLB Mathematics
Book Three
Pg 44-45
3 6
Trigonometry (II)
Trigonometric ratios of negative angles
By the end of the lesson, the learner should be able to:

Find the trigonometric values of negative angles
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
KLB Mathematics
Book Three
Pg 48-49
3 7
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles greater than 3600
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
KLB Mathematics
Book Three
Pg 49-51
4 1
Trigonometry (II)
Use of mathematical tables
Use of mathematical tables
By the end of the lesson, the learner should be able to:
Use mathematical tables to find sine and cosine
Use mathematical tables to find tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
KLB Mathematics
Book Three
Pg 51-55
4 2
Trigonometry (II)
Use of calculators
By the end of the lesson, the learner should be able to:

Use calculators to find sine, cosine and tan
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 56-58
4 3
Trigonometry (II)
Radian measure
Simple trigonometric graphs
By the end of the lesson, the learner should be able to:
Convert degrees to radians and vice versa
Draw tables for sine of values
Draw graphs of sine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
4 4
Trigonometry (II)
Graphs of cosines
By the end of the lesson, the learner should be able to:

Draw tables for cosine of values
Draw graphs of cosine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 63-64
4 5
Trigonometry (II)
Graphs of tan
The sine rule
By the end of the lesson, the learner should be able to:
Draw tables for tan of values
Draw graphs of tan functions
State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators                                                       
KLB Mathematics
Book Three
Pg 64-65
4 6
Trigonometry (II)
Cosine rule
By the end of the lesson, the learner should be able to:

State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 71-75
4 7
Trigonometry (II)
Surds
Problem solving
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Solve problems on cosines, sines and tan
Classify numbers as rational and irrational numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 76-77
5 1
Surds
Surds
By the end of the lesson, the learner should be able to:

State the order of surds
Simplify surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78-79
5 2
Surds
Addition of surds
By the end of the lesson, the learner should be able to:

Add surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 79-80
5 3
Surds
Subtraction of surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Subtract surds
Multiply surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
5 4
Surds
Division of surds
By the end of the lesson, the learner should be able to:

Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 81-82
5 5
Surds
Rationalizing the denominator
Solving problem
By the end of the lesson, the learner should be able to:
Rationalize the denominator
Solve problems on surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 85-87
5 6
Further Logarithms
Introduction
By the end of the lesson, the learner should be able to:

Use calculators to find the logarithm of numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 89
5 7
Further Logarithms
Laws of logarithms
Laws of logarithms
By the end of the lesson, the learner should be able to:
State the laws of logarithms
Use laws of logarithms to solve problems
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 90-93
6 1
Further Logarithms
Logarithmic equations and expressions
By the end of the lesson, the learner should be able to:

Solve the logarithmic equations and expressions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 93-95
6 2
Further Logarithms
Logarithmic equations and expressions
Further computation using logarithms
By the end of the lesson, the learner should be able to:
Solve the logarithmic equations and expressions
Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 93-95
6 3
Further Logarithms
Further computation using logarithms
By the end of the lesson, the learner should be able to:

Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 95-96
6 4
Further Logarithms
Further computation using logarithms
By the end of the lesson, the learner should be able to:

Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 95-96
6 5
Further Logarithms
Problem solving
Problem solving
By the end of the lesson, the learner should be able to:
Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Discussions Solving
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 97
6 6
Commercial arithmetic
Simple interest
By the end of the lesson, the learner should be able to:

Calculate simple interest
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 98-99
6 7
Commercial arithmetic
Compound interest
Appreciation
By the end of the lesson, the learner should be able to:
Calculate the compound interest
Calculate the appreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 102-106
7 1
Commercial arithmetic
Depreciation
By the end of the lesson, the learner should be able to:

Calculate the depreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 109
7 2
Commercial arithmetic
Hire purchase
Income tax
By the end of the lesson, the learner should be able to:
Find the hire purchase
Calculate the income tax
Discussions
Solving
Demonstrating
Explaining
 ,calculator
income tax table ,calculator
KLB Mathematics
Book Three
Pg 110-112
7 3
Commercial arithmetic
P.A.Y.E
By the end of the lesson, the learner should be able to:

Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
Calculators s
KLB Mathematics
Book Three
Pg 114-117
7 4
Circles: Chords and tangents
Length of an arc
Chords
By the end of the lesson, the learner should be able to:
Calculate the length of an arc
Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 124-125
7 5
Circles: Chords and tangents
Parallel chords
By the end of the lesson, the learner should be able to:

Calculate the perpendicular bisector
Find the value of parallel chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
7 6
Circles: Chords and tangents
Equal chords
Intersecting chords
By the end of the lesson, the learner should be able to:
Find the length of equal chords
Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
7 7
Circles: Chords and tangents
Intersecting chords
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
8

MID TERM BREAK

9 1
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

Construct a tangent to a circle
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 139-140
9 2
Circles: Chords and tangents
Tangent to a circle
Properties of tangents to a circle from an external point
By the end of the lesson, the learner should be able to:
Calculate the length of tangent
Calculate the angle between tangents
State the properties of tangents to a circle from an external point
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
9 3
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
9 4
Circles: Chords and tangents
Tangents to two circles
Contact of circles
By the end of the lesson, the learner should be able to:
Calculate the tangents of transverse common tangents
Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
9 5
Circles: Chords and tangents
Contact of circles
By the end of the lesson, the learner should be able to:

Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 153-154
9 6
Circles: Chords and tangents
Problem solving
Angle in alternate segment
By the end of the lesson, the learner should be able to:
Solve problems involving chords, tangents and contact circles
Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
9 7
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 160-161
10 1
Circles: Chords and tangents
Circumscribed circle
Escribed circles
By the end of the lesson, the learner should be able to:
Construct circumscribed circles
Construct escribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165
10 2
Circles: Chords and tangents
Centroid
By the end of the lesson, the learner should be able to:

Construct centroid
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 166
10 3
Circles: Chords and tangents
Orthocenter
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 167
10 4
Matrices
Matrix representation and order of matrix
Addition of matrix
By the end of the lesson, the learner should be able to:
Represent matrix
State the order of a matrix
Add matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 168-170
10 5
Matrices
Subtraction of matrices
By the end of the lesson, the learner should be able to:

Subtract matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171
10 6
Matrices
Combined addition and subtraction of matrices
Matrix multiplication
By the end of the lesson, the learner should be able to:
Perform the combined operation on matrices
Multiply matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171-174
10 7
Matrices
Matrix multiplication
By the end of the lesson, the learner should be able to:

Multiply matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 176-179
11 1
Matrices
Identity matrix
Determinant of a 2
By the end of the lesson, the learner should be able to:
Find the identity matrix
Find the determinant of a 2
Discussions
Solving
Demonstrating
Explaining
Calculator
KLB Mathematics
Book Three
Pg 182-183
11 2
Matrices
Inverse of a 2
By the end of the lesson, the learner should be able to:

Calculate the inverse of a 2
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 183-185
11 3
Matrices
Inverse of a 2
Solutions of simultaneous equations by matrix method
By the end of the lesson, the learner should be able to:
Calculate the inverse of a 2
Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 186-187
11 4
Matrices
Solutions of simultaneous equations by matrix method
By the end of the lesson, the learner should be able to:

Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 188-190
11 5
Matrices
Problem solving
By the end of the lesson, the learner should be able to:

Calculate the inverse of a matrix
Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 190
11 6
Formulae and variations
Formulae
Direct variation
By the end of the lesson, the learner should be able to:
Make subject of the given formula
Solve problems involving direct variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 191-193
11 7
Formulae and variations
Inverse variation
By the end of the lesson, the learner should be able to:

Solve problems involving inverse variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 197-200
12 1
Formulae and variations
Partial variation
Joint variation
By the end of the lesson, the learner should be able to:
Solve problems involving partial variations
Solve problems involving join variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 201-203
12 2
Formulae and variations
Joint variation
By the end of the lesson, the learner should be able to:

Solve problems involving join variations
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 206
12 3
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 
12 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 
12 5
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 
12 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 
12 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 
13 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 
13 2
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
13 3
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 
13 4
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 

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