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SCHEME OF WORK
Mathematics
Form 3 2025
TERM I
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

OPENING OF SCHOOL AND RECEIVING OF STUDENTS, DEPARTMENT MEETING

2 1
Trigonometry (II)
The unit circle
By the end of the lesson, the learner should be able to:

Draw the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 41-42
2 2-3
Trigonometry (II)
The unit circle
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:
Solve problems using the unit circle
Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
Calculators 
KLB Mathematics
Book Three
Pg 43-44
KLB Mathematics
Book Three
Pg 46-47
2 4
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
2 5
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
2 6
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
2 7
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
3 1
Trigonometry (II)
Radian measure
By the end of the lesson, the learner should be able to:

Convert degrees to radians and vice versa
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
3 2-3
Trigonometry (II)
Simple trigonometric graphs
Graphs of cosines
Graphs of tan
By the end of the lesson, the learner should be able to:
Draw tables for sine of values
Draw graphs of sine functions
Draw tables for cosine of values
Draw graphs of cosine functions

Draw tables for tan of values
Draw graphs of tan functions
Discussions
Solving
Demonstrating
Explaining
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 62-63
KLB Mathematics
Book Three
Pg 64-65
3 4
Trigonometry (II)
The sine 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 65-70
3 5
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
3 6
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
3 7
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
4 1
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
4 2-3
Surds
Subtraction of surds
Multiplication of surds
Division of surds
By the end of the lesson, the learner should be able to:

Subtract surds
Multiply surds
Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
KLB Mathematics
Book Three
Pg 80-82
4 4
Surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:

Rationalize the denominator
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 85-87
4 5
Surds
Solving problem
By the end of the lesson, the learner should be able to:

Solve problems on surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 87-88
4 6
Further Logarithms
Introduction
Laws of logarithms
By the end of the lesson, the learner should be able to:
Use calculators to find the logarithm of numbers
State the laws of logarithms
Use laws of logarithms to solve problems
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 89
4 7
Further 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
5

SERIES 1 EXAMS

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 2-3
Further Logarithms
Logarithmic equations and expressions
Further computation using logarithms
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
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
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 97
6 6
Further Logarithms
Problem solving
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 97
6 7
Commercial arithmetic
Simple interest
Compound interest
By the end of the lesson, the learner should be able to:
Calculate simple interest
Calculate the compound interest
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 98-99
7 1
Commercial arithmetic
Appreciation
By the end of the lesson, the learner should be able to:

Calculate the appreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 108
7 2-3
Commercial arithmetic
Depreciation
Hire purchase
By the end of the lesson, the learner should be able to:

Calculate the depreciation value of items

Find the hire purchase
Discussions
Solving
Demonstrating
Explaining
Calculators 
 ,calculator
KLB Mathematics
Book Three
Pg 109
KLB Mathematics
Book Three
Pg 110-112
7 4
Commercial arithmetic
Income tax
P.A.Y.E
By the end of the lesson, the learner should be able to:
Calculate the income tax
Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
income tax table ,calculator
Calculators s
KLB Mathematics
Book Three
Pg 112-114
7 5
Circles: Chords and tangents
Length of an arc
By the end of the lesson, the learner should be able to:

Calculate the length of an arc
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
KLB Mathematics
Book Three
Pg 124-125
7 6
Circles: Chords and tangents
Chords
By the end of the lesson, the learner should be able to:

Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 126-128
7 7
Circles: Chords and tangents
Parallel chords
Equal chords
By the end of the lesson, the learner should be able to:
Calculate the perpendicular bisector
Find the value of parallel chords
Find the length of equal chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
8

MIDTERM

9 1
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 132-135
9 2-3
Circles: Chords and tangents
Intersecting chords
Tangent to a circle
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords

Construct a tangent to a circle
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
KLB Mathematics
Book Three
Pg 139-140
9 4
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 5
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 6
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of transverse common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
9 7
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 151-153
10

SERIES 2 EXAMS

11 1
Circles: Chords and tangents
Contact of circles
Problem solving
By the end of the lesson, the learner should be able to:
Calculate the radii of contact circles
Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 153-154
11 2-3
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 157-160
KLB Mathematics
Book Three
Pg 160-161
11 4
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
11 5
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
11 6
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
11 7
Matrices
Matrix representation and order of matrix
By the end of the lesson, the learner should be able to:

Represent matrix
State the order of a matrix
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 168-170
12 1
Matrices
Addition of matrix
Subtraction of matrices
By the end of the lesson, the learner should be able to:
Add matrices
Subtract matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 170
12 2-3
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
KLB Mathematics
Book Three
Pg 174-175
12 4
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
12 5
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
12 6
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
12 7
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
Calculators 
KLB Mathematics
Book Three
Pg 186-187
13 1
Matrices
Solutions of simultaneous equations by matrix method
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
13 2-3
Matrices
Formulae and variations
Problem solving
Formulae
By the end of the lesson, the learner should be able to:

Calculate the inverse of a matrix
Solve simultaneous equations by matrix method

Make subject of the given formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 190
KLB Mathematics
Book Three
Pg 191-193
13 4
Formulae and variations
Direct variation
By the end of the lesson, the learner should be able to:

Solve problems involving direct variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 194-196
13 5
Formulae and variations
Inverse variation
Partial variation
By the end of the lesson, the learner should be able to:
Solve problems involving inverse variations
Solve problems involving partial variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 197-200
13 6
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
Calculators 
KLB Mathematics
Book Three
Pg 204-205
13 7
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

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