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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
2 1
Surds
Rational and irrational numbers
Surds
By the end of the lesson, the learner should be able to:

Classify numbers as rational and irrational numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78
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
3-4
Surds
Subtraction of surds
Multiplication of surds
Division of surds
By the end of the lesson, the learner should be able to:

Subtract surds

Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
KLB Mathematics
Book Three
Pg 81-82
5
Surds
Rationalizing the denominator
Solving problem
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
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
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
3 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
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 93-95
3-4
Further Logarithms
Further computation using logarithms
Further computation using 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 95-96
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
Commercial arithmetic
Simple interest
Compound 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
7
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
4 1
Commercial arithmetic
Depreciation
Hire purchase
By the end of the lesson, the learner should be able to:

Calculate the depreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
 ,calculator
KLB Mathematics
Book Three
Pg 109
2
Commercial arithmetic
Income tax
By the end of the lesson, the learner should be able to:

Calculate the income tax
Discussions
Solving
Demonstrating
Explaining
income tax table ,calculator
KLB Mathematics
Book Three
Pg 112-114
3-4
Commercial arithmetic
Circles: Chords and tangents
P.A.Y.E
Length of an arc
Chords
By the end of the lesson, the learner should be able to:

Calculate the p.a.y.e

Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Calculators s
Geometrical set,calculator
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 114-117
KLB Mathematics
Book Three
Pg 126-128
5
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
6
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
7
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
5 1
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

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

State the properties of tangents to a circle from an external point
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 142-144
3-4
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
KLB Mathematics
Book Three
Pg 151-153
5
Circles: Chords and tangents
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
6
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
7
Circles: Chords and tangents
Circumscribed circle
By the end of the lesson, the learner should be able to:

Construct circumscribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165
6 1
Circles: Chords and tangents
Escribed circles
Centroid
By the end of the lesson, the learner should be able to:

Construct escribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165-166
2
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
3-4
Matrices
Matrix representation and order of matrix
Addition of matrix
Subtraction of matrices
By the end of the lesson, the learner should be able to:

Represent matrix
State the order of a matrix

Subtract matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 168-170
KLB Mathematics
Book Three
Pg 171
5
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
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171-174
6
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
7
Matrices
Identity matrix
Determinant of a 2
By the end of the lesson, the learner should be able to:

Find the identity matrix
Discussions
Solving
Demonstrating
Explaining
Calculator
KLB Mathematics
Book Three
Pg 182-183
7 1
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
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
Calculators 
KLB Mathematics
Book Three
Pg 186-187
3-4
Matrices
Solutions of simultaneous equations by matrix method
Problem solving
By the end of the lesson, the learner should be able to:

Solve simultaneous equations by matrix method

Calculate the inverse of a matrix
Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 188-190
KLB Mathematics
Book Three
Pg 190
7-8

Midterm

8 2
Formulae and variations
Formulae
Direct variation
By the end of the lesson, the learner should be able to:

Make subject of the given formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 191-193
3-4
Formulae and variations
Inverse variation
Partial variation
Joint 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
KLB Mathematics
Book Three
Pg 201-203
5
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
6
Sequences and series
Sequences
Arithmetic sequences
By the end of the lesson, the learner should be able to:

Find the next terms
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 207-208
7
Sequences and series
Geometric sequence
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric sequence
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 211-213
9 1
Sequences and series
Arithmetic series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 214-215
2
Sequences and series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 216-219
3-4
Vectors II
Coordinates in two dimensions
Coordinates in three dimensions
Column vectors
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in two dimensions

Find a displacement and represent it in column vector
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 221
KLB Mathematics
Book Three
Pg 223-224
5
Vectors II
Position vector
Unit vectors
By the end of the lesson, the learner should be able to:

Calculate the position vector
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 224
6
Vectors II
Unit vectors
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 226-228
7
Vectors II
Magnitude of a vector in three dimensions
Parallel vectors
By the end of the lesson, the learner should be able to:

Calculate the magnitude of a vector in three dimensions
Discussions
Solving
Demonstrating
Explaining
calculators
Geoboard
KLB Mathematics
Book Three
Pg 229-230
10 1
Vectors II
Collinear points
By the end of the lesson, the learner should be able to:

Show that points are collinear
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 232
2
Vectors II
Collinear points
Proportion division of a line
By the end of the lesson, the learner should be able to:

Show that points are collinear
Discussions
Solving
Demonstrating
Explaining
Geoboard
Geoboard, calculators
KLB Mathematics
Book Three
Pg 233-234
3-4
Vectors II
Proportion division of a line
Proportion division of a line
Ratio theorem
By the end of the lesson, the learner should be able to:

Divide a line externally in the given ratio

Divide a line internally and externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 238
KLB Mathematics
Book Three
Pg 239
5
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Find the position vector
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 242
6
Vectors II
Mid-point
Ratio theorem
By the end of the lesson, the learner should be able to:

Find the mid-points of the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 243
7
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Use ratio theorem to find the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 246-248
11 1
Vectors II
Applications of vectors
By the end of the lesson, the learner should be able to:

Use vectors to show the diagonals of a parallelogram
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 248-249
2
Binomial expansion
Binomial Expansion up to power four
By the end of the lesson, the learner should be able to:

Expand binomial function up to power four
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256
3-4
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256-257
KLB Mathematics
Book Three
Pg 258-259
5
Binomial expansion
Applications to numerical cases
By the end of the lesson, the learner should be able to:

Use binomial expansion to solve numerical problems
Discussions
Solving
Demonstrating
Explaining
 calculators
Calculators
KLB Mathematics
Book Three
Pg 259-260
6
Probability
Experimental probability
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
7
Probability
Experimental probability
Range of probability measure
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
12 1
Probability
Probability space
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 266-267
2
Probability
Probability space
Combined events
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 268-270
3-4
Probability
Combined events
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of a combined events

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 273-274
KLB Mathematics
Book Three
Pg 274-275
5
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 278-280
6
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Draw tree diagrams to show the probability space
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 282
7
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 283-285

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