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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 8
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 1
Trigonometry (II)
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
2 2
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 3
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
Use of mathematical tables
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
mathematical tables
KLB Mathematics
Book Three
Pg 49-51
2 4
Trigonometry (II)
Use of mathematical tables
Use of calculators
By the end of the lesson, the learner should be able to:

Use mathematical tables to find tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
calculators
KLB Mathematics
Book Three
Pg 55-56
2 5
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
2 6
Trigonometry (II)
Simple trigonometric graphs
Graphs of cosines
By the end of the lesson, the learner should be able to:

Draw tables for sine of values
Draw graphs of sine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 62-63
2 7
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators                                                       
KLB Mathematics
Book Three
Pg 64-65
2 8
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 1
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 76-77
3 2
Surds
Surds
Addition of 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
3 3
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:

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

Multiply surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80-82
3 5
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
3 6
Surds
Further Logarithms
Solving problem
Introduction
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
3 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 8
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
4 1
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
4 2
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
4 3
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
4 4
Further Logarithms
Commercial arithmetic
Problem solving
Simple interest
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
4 5
Commercial arithmetic
Compound interest
Appreciation
By the end of the lesson, the learner should be able to:

Calculate the compound interest
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 102-106
4 6
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
4 7
Commercial arithmetic
Hire purchase
Income tax
By the end of the lesson, the learner should be able to:

Find the hire purchase
Discussions
Solving
Demonstrating
Explaining
 ,calculator
income tax table ,calculator
KLB Mathematics
Book Three
Pg 110-112
4 8
Commercial arithmetic
Circles: Chords and tangents
P.A.Y.E
Length of an arc
By the end of the lesson, the learner should be able to:

Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
Calculators s
Geometrical set,calculator
KLB Mathematics
Book Three
Pg 114-117
5 1
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
5 2
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
5 3
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
5 4
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
5 5
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
5 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 direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
5 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
5 8
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 153-154
6 1
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
6 2
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 3
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
6 4
Circles: Chords and tangents
Matrices
Orthocenter
Matrix representation and order of matrix
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
Chart showing tabular data
KLB Mathematics
Book Three
Pg 167
6 5
Matrices
Addition of matrix
By the end of the lesson, the learner should be able to:

Add matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 170
6 6
Matrices
Subtraction of matrices
Combined addition and 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
6 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 174-175
6 8
Matrices
Identity matrix
By the end of the lesson, the learner should be able to:

Find the identity matrix
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 182-183
7 1
Matrices
Determinant of a 2
Inverse of a 2
By the end of the lesson, the learner should be able to:

Find the determinant of a 2
Discussions
Solving
Demonstrating
Explaining
Calculator
KLB Mathematics
Book Three
Pg 183
7 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
7 3
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
7 4
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 190
7 5
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
7 6
Formulae and variations
Inverse variation
Partial 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
7 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
Calculators 
KLB Mathematics
Book Three
Pg 204-205
7 8
Sequences and series
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
8 1
Sequences and series
Arithmetic sequences
Geometric sequence
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic sequence
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 209-210
8 2
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
8 3
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
8 4
Vectors II
Coordinates in two dimensions
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in two dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 221
8 5
Vectors II
Column vectors
Position vector
By the end of the lesson, the learner should be able to:

Find a displacement and represent it in column vector
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
8 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
8 7
Vectors II
Unit vectors
Magnitude of a vector in three dimensions
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 226-228
8 8
Vectors II
Parallel vectors
Collinear points
By the end of the lesson, the learner should be able to:

Identify parallel vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 231-232
9

MID TERM BREAK

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 233-234
10 2
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line internally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
10 3
Vectors II
Proportion division of a line
Ratio theorem
By the end of the lesson, the learner should be able to:

Divide a line internally and externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 239
10 4
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
10 5
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
10 6
Vectors II
Ratio theorem
Applications of vectors
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
10 7
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 rectangle
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg
10 8
Binomial expansion
Binomial Expansion up to power four
Pascal
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
11 1
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 258-259
11 2
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
KLB Mathematics
Book Three
Pg 259-260
11 3
Binomial expansion
Probability
Applications to numerical cases
Experimental probability
By the end of the lesson, the learner should be able to:

Use binomial expansion to solve numerical problems
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 259-260
11 4
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
11 5
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
11 6
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
11 7
Probability
Combined events
By the end of the lesson, the learner should be able to:

Find the probability of a combined events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 273-274
11 8
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 274-275
12 1
Probability
Independent events
Tree diagrams
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
12 2
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
12 3
Probability
Compound proportions and rate of work
Tree diagrams
Compound proportions
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
Calculators 
KLB Mathematics
Book Three
Pg 283-285
12 4
Compound proportions and rate of work
Compound proportions
Proportional parts
By the end of the lesson, the learner should be able to:

Find the compound proportions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 290-291
12 5
Compound proportions and rate of work
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the rate of work
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 294-295
12 6
Compound proportions and rate of work
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the rate of work
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 295-296
12 7
Graphical methods
Tables of given relations
Graphs 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
12 8
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
13 1
Graphical methods
Graphical solution of cubic equations
Average rates of change
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
13 2
Graphical methods
Rate of change at an instant
Empirical graphs
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
13 3
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
13 4
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
Geoboard & graph bookss
KLB Mathematics
Book Three
Pg 318-321
13 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 325-326
13 6
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

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